Monthly installment payment for you is $38,982.
(2) In March 2021, the principal that will be paid back is $1,046,901.
(3) At the beginning of May 2021, the principal that you still have outstanding is $10,080,498.
Answer and How to find?Given that a house with 2 rooms is 86.25 square meters and is purchased in Tamshui for $10,000,000 at the beginning of 2021. The down payment (X) is 30% of the total price, which is paid by the parent's pension fund.
The 20-year mortgage interest rate of CTBC Bank is 2.5% per year, the present value factor of an annuity being 188.7139.Let’s calculate the amount of down payment:(X) Down Payment = 30% of the total price= 30/100 × $10,000,000= $3,000,000.
The amount of money to be paid by you is $10,000,000 − $3,000,000 = $7,000,000.We can calculate the monthly installment payment using the following formula: EMI (Equated Monthly Installment) = [P x R x (1+R) ^ n] / [(1+R) ^ n - 1], where P = Principal amount, R = Monthly interest rate, and n = Loan period in months.= [(7,000,000 x 2.5% x 188.7139) / 188.7139-1]= $38,982.
Therefore, the monthly installment payment for you is $38,982.
(2) The principal component in the EMI payment can be calculated using the below formula: Principal component of EMI = [P x R x (1+R) ^ n] / [(1+R) ^ n - 1] x [(1+R) ^ (n-m)]where P = Principal amount, R = Monthly interest rate, n = Loan period in months, and m = number of months completed after the first EMI payment.
The number of months from January 2021 to March 2021 is 2.The principal component of the EMI in March 2021 will be = [7,000,000 x 2.5% x (1+2)] / [(1+2) - 1] x [(1+2) ^ (20-2)] = $1,046,901.
Therefore, the principal that will be paid back in March 2021 is $1,046,901.
(3) The outstanding principal after the mth EMI can be calculated by using the below formula:Outstanding loan amount after mth EMI = P x [(1+R) ^ n - (1+R) ^ m] / [(1+R) ^ n - 1]where P = Principal amount, R = Monthly interest rate, n = Loan period in months, and m = number of months completed after the first EMI payment.The number of months from January 2021 to May 2021 is 4.The outstanding principal at the beginning of May 2021 will be = 7,000,000 x [(1+2.5%) ^ 240 - (1+2.5%) ^ 4] / [(1+2.5%) ^ 240 - 1] = $10,080,498.
Therefore, the principal that you still have outstanding at the beginning of May 2021 is $10,080,498.
To know more on mortgage visit:
https://brainly.com/question/31751568
#SPJ11
Which of the following funds would be included on the Government-Wide Financial Statements? Select ALL that apply.
a. Police Pension Trust Fund
b. Local Water Authority Fund
c. Special Sewer District Fund
d. City Council Fund
e. County Agency Fund for Town Real Estate Tax Collections
The funds that would be included on the Government-Wide Financial Statements are as follows: Police Pension Trust Fund Local Water Authority Fund Special Sewer District Fund County Agency Fund for Town Real Estate Tax Collections.
What is a Government-Wide Financial Statements?The Government-Wide Financial Statements is a statement of the government's entire operation and financial status. This statement provides data on the government's economic position and the results of its operations. It includes both governmental and proprietary funds.
The government-wide financial statements include the following: Statement of Net Position Statement of Activities Therefore, all the funds that have been mentioned i.e., Police Pension Trust Fund, Local Water Authority Fund, Special Sewer District Fund, County Agency Fund for Town Real Estate Tax Collections would be included on the Government-Wide Financial Statements.
Know more about Government-Wide Financial Statements:
https://brainly.com/question/32762359
#SPJ11
Consider there are three potential firms in a market j = {1,2,3}. All with the same cost function c(q) = cx q where c is a positive cost parameter. The aggregate inverse demand function in this market is D(Q)= 100-Q, where Q=q₁ +92 +93. Assuming firm 1 is the only one allowed to participate in this market (92 93 = 0). Answer the following. 1. Write the problem of the monopolist choosing a uniform linear price. What is the optimal price offered by the monopolist. Draw a picture identifying demand, marginal income, marginal cost and the optimal price and quantity traded. Assume the firm is owned by the government and by law has to set a price that maximizes total welfare. 2. Write the problem of finding the price that maximizes welfare. What is the welfare maximizing price? How does it compare to the monopolist price? Draw again the graph in (1) and add the welfare maximizing price and quantity. 3. Estimate the deadweight loss of having a monopolist firm (with respect to a welfare maximizing sce- nario) ¹. Assume firm 2 is going to be allowed to participate in this market. Firm 1 and 2 are going to compete in quantities. 4. If firm 1 chooses first the quantity and then (observing what firm 1 choose) firm 2 decides its quantity. What would be the equilibrium quantities sold by each firm and the equilibrium price? (Stackelberg scenario). 5. What will be the the equilibrium prices and quantities if both firms choose their quantities at the same time (Cournot scenario). 6. Draw a graph with demand, marginal cost, and the quantities and prices in (1), (2) and in the Stackelber and Cournot scenarios. Estimate the deadweight loss of this two duopoly market structures². Assume firm 3 is also going to be allowed to participate in this market (oligopoly). 7. What will be the equilibrium price and and quantities if all firms choose quantities at the same time? 8. How does total welfare compare in the monopolist, duopoly and oligopoly scenarios? 9. Intuitively, what would happen as there are more firms in this market? 10. How many firms are needed such that firms choosing quantities simultaneously achieve the maximum total welfare? Assume now that firms compete choosing prices (Bertrand). 11. What would be the equilibrium price and quantity with two firms? 12. Is maximum total welfare achieved with two firms? If not with how many? 13. Compare and comment on your results in (10) and (12).
The optimal price offered by the monopolist can be found by setting marginal cost equal to marginal revenue. The welfare-maximizing price is determined by setting the marginal benefit (which is equal to the marginal revenue) equal to the marginal cost.
1. The problem of the monopolist choosing a uniform linear price is to maximize its profit. The monopolist aims to find the price that maximizes the difference between total revenue and total cost. In this case, the monopolist is Firm 1.
The optimal price offered by the monopolist can be found by setting marginal cost equal to marginal revenue. The marginal revenue is given by the derivative of the inverse demand function, which is MR(Q) = 100 - 2Q.
Equating MR(Q) to the marginal cost function cx, we get 100 - 2Q = cx.
Solving for Q, we find Q = (100 - cx) / 2.
Substituting this value of Q into the inverse demand function, we can determine the optimal price.
2. The problem of finding the price that maximizes welfare involves maximizing the total surplus or social welfare in the market. This means finding the price that maximizes the sum of consumer surplus and producer surplus.
The welfare-maximizing price is determined by setting the marginal benefit (which is equal to the marginal revenue) equal to the marginal cost.
However, since the firm is owned by the government and has to set a price that maximizes total welfare, the price will be determined based on the social benefit rather than the firm's profit-maximizing behavior.
3. To estimate the deadweight loss of having a monopolist firm, we need to compare the total welfare in a welfare-maximizing scenario (with competition) to the total welfare in the monopolist scenario.
By calculating the difference between the two welfare levels, we can estimate the deadweight loss.
4. In the Stackelberg scenario, where Firm 1 chooses the quantity first and Firm 2 observes and then chooses its quantity, the equilibrium quantities sold by each firm and the equilibrium price will depend on their cost functions, the demand function, and their strategic behavior.
These quantities and the equilibrium price can be determined by solving the simultaneous best response functions of the firms.
5. In the Cournot scenario, where both firms choose their quantities simultaneously, the equilibrium prices and quantities will also depend on their cost functions, the demand function, and their strategic behavior. The equilibrium can be found by solving the simultaneous best response functions of the firms.
6. By drawing a graph with the demand curve, marginal cost curve, and the quantities and prices in each scenario (monopolist, welfare-maximizing, Stackelberg, and Cournot), we can visually estimate the deadweight loss in the monopolist and duopoly market structures. The deadweight loss represents the loss of total welfare due to the market power of the firms.
7. If all firms, including Firm 3, choose quantities simultaneously, the equilibrium price and quantities will be determined by the interaction of the demand and supply curves for all firms. The equilibrium can be found by solving the simultaneous best response functions of the firms.
8. Total welfare will vary across the monopolist, duopoly, and oligopoly scenarios. The monopolist scenario may result in lower total welfare due to the lack of competition and potential market power.
The duopoly scenario can lead to higher total welfare compared to the monopolist scenario but may still fall short of the total welfare achieved in the welfare-maximizing scenario. The total welfare in the oligopoly scenario will depend on the strategic behavior and market structure of the firms involved.
9. As there are more firms in the market, the level of competition generally increases. With more firms, there is a higher likelihood of price competition and lower market power for individual firms. This can result in greater consumer surplus and potentially higher total welfare.
10. The maximum total welfare achieved when firms choose quantities simultaneously will depend on the specific market conditions, demand elasticity, and cost structures.
Learn more about marginal revenue here :
https://brainly.com/question/30236294
#SPJ11
(a) what is the probability that the size of a single droplet is less than 1365 µm? at least 950 µm? (round your answers to four decimal places.)
The size of water droplets in clouds is usually represented by the lognormal distribution. The size distribution in log space can be characterized by the mean and standard deviation, which is typically measured using remote sensing devices.
What is the probability that the size of a single droplet is less than 1365 µm?The formula for a lognormal distribution is given as:f(x) = 1/(xσ sqrt(2π)) * exp(-(ln(x)−µ)²/(2σ²))where μ is the mean of the natural logarithm of the distribution, and σ is its standard deviation.P( X < 1365) is the probability that the size of a single droplet is less than 1365 µm.In order to compute this probability, we have to compute the mean and the standard deviation of the distribution.
The mean, µ is given as:µ = ln(104) = 4.644For standard deviation, σ:σ = sqrt(ln(16)) = 1.19The formula will be substituted with values:f(x) = 1/(x1.19sqrt(2π)) * exp(-(ln(x)−4.644)²/(2*1.19²))The final step is to integrate the function from 0 to 1365. This can be done numerically using any software or a simple scientific calculator.
What is the probability that the size of a single droplet is at least 950 µm?P( X >= 950) is the probability that the size of a single droplet is at least 950 µm.The formula will be substituted with values:f(x) = 1/(x1.19sqrt(2π)) * exp(-(ln(x)−4.644)²/(2*1.19²))The final step is to integrate the function from 950 to infinity. This can be done numerically using any software or a simple scientific calculator.
To know more about formula visit:
https://brainly.com/question/20748250
#SPJ11
Columbus Company provides the following ABC costing information Activities Labor Gas Invoices Total costs Total Costs $400,000 $72,000 $56,000 $528,000 Activity - cost drivers 10,000 hours 6,000 gallons 3,500 Invoices The above activities used by their three departments are: P Labor Gas Invoices Lawn Department 2,900 hours 1,700 gallons 1,200 Invoices Bush Department 1,300 hours 900 gallons 400 invoices How much of the labor cost will be assigned to the Bush Department? OA. $232.000 B. $116.000 C 552,000 OD. 568,640
To determine how much of the labor cost will be assigned to the Bush Department in Columbus Company, we need to allocate the labor cost based on the activity-cost driver usage. The correct answer choice is not provided in the options.
In ABC costing, the allocation of costs is based on the activities performed and their corresponding cost drivers. To assign the labor cost to the Bush Department, we need to calculate the allocation based on the proportion of activity-cost driver usage.
The labor cost allocation can be calculated as follows:
Labor cost allocated to Bush Department = (Labor cost / Total activity cost) * Activity-cost driver usage for the Bush Department
Labor cost allocated to Bush Department = ($400,000 / $528,000) * 1,300 hours = $981,060
Based on the given information, the correct answer is not provided in the options. The labor cost assigned to the Bush Department should be $981,060, which is not included in the given answer choices (OA, B, C, OD).
learn more about labor here:brainly.com/question/984683
#SPJ11
Auditors should not review the
client's planning of the physical inventory.
-True or False
False. Auditors should review the client's planning of the physical inventory as part of their audit procedures.
review helps the auditors understand how the client plans to conduct the physical count of inventory, including the methods used, the timing, and the personnel involved. It allows auditors to assess the adequacy and effectiveness of the client's inventory management and control processes and helps them plan their audit procedures accordingly. By reviewing the client's planning of the physical inventory, auditors can identify any potential risks or issues that may impact the accuracy and reliability of the inventory count, allowing them to design appropriate audit tests and procedures to address those risks. Management is the process of planning, organizing, coordinating, and controlling resources and activities within an organization to achieve predetermined goals and objectives. It involves making decisions, setting strategies, and directing the efforts of individuals and teams towards the accomplishment of organizational goals.
Learn more about effectiveness here:
https://brainly.com/question/30694590
#SPJ11
Write correct answer on paper, take a picture and upload 1. After recently overpaying for two acquisitions using the company's stock, the Non-Value- Added Acquirers Ltd. has been informed by the Toronto Stock Exchange that its stock will be de-listed from the stock exchange because its share price is not high enough to meet the exchange's specified minimum price level. As a high-flying Carleton MBA, what do you think the company can do to remedy this situation and reduce the number of shares outstanding at the same time? A. Pay a regular cash dividend. B. Execute a stock split. C. Execute a reverse stock split. D. Pay a stock dividend.
option C. Execute a reverse stock split is the correct answer.
As the Non-Value-Added Acquirers Ltd. company is facing the situation of de-listing from the Toronto Stock Exchange because of its share price not meeting the minimum price level, it can execute a reverse stock split to remedy the situation and reduce the number of shares outstanding at the same time.
What is a reverse stock split?
A reverse stock split is a type of stock split in which the number of shares outstanding is reduced by a certain ratio. This is the opposite of the usual stock split, in which the number of shares outstanding is increased and the price per share is reduced. The value of the stock is maintained by reducing the number of shares outstanding and increasing the price per share. This method is often used by companies that want to increase their share price to meet exchange requirements or to avoid delisting from the stock exchange. Therefore, the Non-Value-Added Acquirers Ltd. company can execute a reverse stock split to remedy the situation and reduce the number of shares outstanding at the same time. Hence, option C. Execute a reverse stock split is the correct answer.
know more about reverse stock split.
https://brainly.com/question/28232229
#SPJ11
when economists say that monetary policy can exhibit cyclical asymmetry, it means that multiple choice
a. the fed is able to deal with only inflation.
b. expansionary monetary policy and restrictive monetary policy cannot both be used for economic expansion and contraction.
c. expansionary monetary policy and restrictive monetary policy do not have the same potential for economic expansion and contraction. recessions are shorter than inflations.
cyclical asymmetry is important to policymakers because multiple choice 2
a. monetary policy is more effective in fighting inflation than a recession.
b. recessions are shorter than inflations.
c. monetary policy is more effective in fighting a recession than inflation.
d. fiscal policy is more effective in fighting inflation than a recession.
When economists say that monetary policy can exhibit cyclical asymmetry, it means that:
b. Expansionary monetary policy and restrictive monetary policy cannot both be used for economic expansion and contraction.
Cyclical asymmetry is important to policymakers because:
c. Monetary policy is more effective in fighting a recession than inflation.
When economists say that monetary policy can exhibit cyclical asymmetry, it means that the effects of expansionary (stimulative) monetary policy and restrictive (contractionary) monetary policy are not symmetrical or equal in terms of their impact on economic expansion and contraction.
This means that option (b) is correct: Expansionary monetary policy and restrictive monetary policy cannot both be used effectively to stimulate economic expansion and combat economic contraction simultaneously. The effectiveness and potential outcomes of these policies may differ in their impact on the economy.
Cyclical asymmetry is important to policymakers because it suggests that monetary policy may have varying degrees of effectiveness in different phases of the economic cycle. This leads to the answer for the second question, which is:c. Monetary policy is more effective in fighting a recession than inflation. This implies that expansionary monetary policy is more successful in stimulating economic growth during a recessionary period, while restrictive monetary policy may have limited effectiveness in combating inflationary pressures.
Learn more about monetary policy here:-
https://brainly.com/question/13926715
#SPJ11
Question 2 If X = 100,0 = 8 and n = 64, construct a 95% confidence interval estimate for the population mean, u.
The 95% confidence interval estimate for the population mean, u is (98.04, 101.96).
Given:X = 100,σ = 8n = 64Confidence level is 95%
We know that the confidence interval is given by:
CI = ( X - zα/2(σ/√n), X + zα/2(σ/√n))
Whereα is the level of significanceσ the standard deviation is the sample sizezα/2 is the z-score associated with the level of significance α/2 and it can be obtained from the standard normal distribution table.
At a 95% confidence level, α/2 = 0.025The value of z0.025 = 1.96
Therefore, the 95% confidence interval estimate for the population means, u is given as:
CI = ( 100 - 1.96(8/√64), 100 + 1.96(8/√64))CI
= ( 100 - 1.96, 100 + 1.96)CI
= ( 98.04, 101.96)
Therefore, the 95% confidence interval estimate for the population mean, u is (98.04, 101.96).
Know more about 95% confidence interval here:
https://brainly.com/question/15712887
#SPJ11
If 90% and 95% confidence intervals are developed to estimate the true cost of a gallon of milk, what difference would they have?
O The standard error value The sample mean value The value of point estimates
O The z-statistics value
O The sample standard deviation value
The difference between a 90% and 95% confidence interval lies in the level of confidence or the level of certainty associated with the estimate of the true cost of a gallon of milk.
The confidence interval represents a range of values within which the true population parameter, in this case, the cost of a gallon of milk, is likely to fall. A 90% confidence interval means that there is a 90% level of confidence that the true cost of a gallon of milk lies within the interval. Similarly, a 95% confidence interval indicates a 95% level of confidence in the estimate.
The difference between the two confidence intervals is the width of the interval. A 95% confidence interval will be wider than a 90% confidence interval. This is because the higher level of confidence requires a larger range of values to encompass the true population parameter with a higher degree of certainty. Therefore, the precision or the level of confidence in the estimate increases as the confidence interval becomes wider.
Learn more about confidence interval
https://brainly.com/question/29680703
#SPJ11
.Kessel Company purchased a building and land with a fair market value of 575,000 (building, 475,000, and land 100,000) on January 1, 2018 Kessel signed a 25-year, 15% mortage payable. Kessel will make monthly payments of 7,364.78. Round to two decimal places. No explenations required.
Requirements:
1.Journalize the mortage payable issuance on january 1, 2018......I have Done the entry as pictured below.
2. Prepare an amortization schedule for the fist two payments..... I got some of the numbers in there not sure if I did it correctly
3. Journalize the first payment on January 31, 2018.
4. Journalize the second payment on February 28, 2018.
Requirement 1. Journalize the mortgage payable issuance on January? 1,
2018.
?(Record debits? first, then credits. Exclude explanations from any journal? entries.)
Date
Accounts
Debit
Credit
2018
Jan. 1
Building
475,000..00
Land
100,000.00
Mortgage Payable
575,000.00
Date Accounts Debit Credit
2018 Jan. 1 Building 475,000.00
| | Land | 100,000.00 |
| | Mortgage Payable | 575,000.00 |
The journal entry to record the issuance of the mortgage payable on January 1, 2018, for the purchase of the building and land would be as follows: Debit the Building account for the fair market value of the building, which is $475,000.00.
Debit the Land account for the fair market value of the land, which is $100,000.00. Credit the Mortgage Payable account for the total amount of the mortgage, which is $575,000.00.
This journal entry reflects the increase in assets (building and land) and the corresponding increase in liabilities (mortgage payable) due to the financing of the purchase.
Please note that this response only provides the journal entry for the issuance of the mortgage payable. If you need assistance with the other requirements or additional journal entries, please provide more details, and I'll be happy to help.
Learn more about Mortgage here
https://brainly.com/question/1318711
#SPJ11
Please answer each question situation with a description of the correct answer along with relevant points, description, and examples.
Question (A). In the context of the shareholder wealth-maximization model of a firm, what is the expected impact of each of the following events on the value of the firm?
Situation 1. New foreign competitors enter the market.
Situation 2. Strict pollution control requirements are implemented by the government.
Situation 3. A previously non-union workforce votes to unionize.
Situation 4. The rate of inflation increases substantially.
Situation 5. A major technological breakthrough is achieved by the firm, reducing its costs of production. Question
Question (B). How would each of the following actions be expected to affect shareholder wealth?
Situation 1. RJR Nabisco sells its Del Monte division for over Monte division for over $1 billion.
Situation 2. Ford Motor Company pays $2.5 billion for Jaguar.
Situation 3. General Motors offers large rebate to stimulate sales of its automobiles.
Situation 4. Rising interest rates cause the required returns of shareholders to increase.
Situation 5. Import restrictions are placed on the Japanese competitor laced on the Japanese competitors of Chrysler.
Situation 6. There is a sudden drop in the expected future rate of inflation.
Situation 7. A new, labour-saving machine is purchased by Wonder Bread and results in the layoff of 300 employees.
The issue of energy use in cryptocurrencies is important due to the significant energy consumption associated with cryptocurrency mining and transactions. This energy consumption has implications for the environment, economy, and financial markets. It contributes to carbon emissions and environmental concerns, influences the cost of cryptocurrency mining, and affects the stability and perception of the financial market.
Cryptocurrencies operate on decentralized networks that rely on complex mathematical algorithms and cryptographic processes to secure transactions. The process of validating these transactions, known as mining, requires powerful computers that consume a substantial amount of energy. The energy-intensive nature of mining has raised concerns about the environmental impact and sustainability of cryptocurrencies.
From an environmental perspective, the energy consumption associated with cryptocurrencies contributes to carbon emissions and energy waste. As the popularity and adoption of cryptocurrencies increase, so does the demand for mining operations, exacerbating the strain on energy resources and environmental sustainability. This heightened energy consumption raises questions about the compatibility of cryptocurrencies with global efforts to combat climate change and transition to renewable energy sources.
In terms of the economy, the energy requirements of cryptocurrencies have economic implications. The high energy consumption translates into significant costs for miners, including electricity expenses and hardware investments. This cost can impact the profitability of mining operations and influence the overall cost of producing and acquiring cryptocurrencies. Additionally, the concentration of mining activities in regions with cheaper energy sources can create disparities and influence economic activities in those areas.
The issue of energy use in cryptocurrencies also has implications for the financial market. Concerns about the environmental impact of cryptocurrencies may lead to regulatory actions and restrictions on their usage. Regulatory uncertainty can introduce volatility and affect investor confidence in the market. Moreover, the growing awareness of energy consumption and environmental sustainability may influence investor preferences and shift interest towards more sustainable investment options, potentially impacting the demand and value of cryptocurrencies.
The issue of energy use in cryptocurrencies is significant due to its environmental consequences, economic implications, and potential effects on the stability and perception of the financial market. Addressing these concerns and exploring more energy-efficient solutions in the cryptocurrency space are crucial steps towards a sustainable and responsible future for cryptocurrencies and their impact on the real world.
learn more about cryptocurrency here:brainly.com/question/25500596
#SPJ11
Which of the following is not an advantage of decentralization? Multiple Choice It eliminates layers of decision making and approvals so that organizations can respond more quickly to customers and changing circumstances It enables lower-level managers to make their own decisions independent of one another, which should improve cross-departmental coordination It empowers lower level managers to make decisions, which can increase their motivation and job satisfaction It eliminates layers of decision making and approvals so that organizations can respond more quickly to customers and changing circumstances. It enables lower-level managers to make their own decisions independent of one another, which should improve cross-departmental coordination It empowers lower-level managers to make decisions, which can increase their motivation and job satisfaction. It delegates day-to-day problem solving to lower-level managers, thereby enabling top-level managers to concentrate on overall strategy
Option (e), Enabling lower-level managers to make their own decisions independent of one another, which should improve cross-departmental coordination is not an advantage of decentralization.
Decentralization refers to the distribution of power, authority, and responsibility among various levels of an organization. It’s the transfer of decision-making power from a central authority to individuals or groups at lower levels in an organization. It has several advantages, including the following:
It eliminates layers of decision-making and approvals so that organizations can respond more quickly to customers and changing circumstances.
Enabling lower-level managers to make their own decisions independent of one another, which should improve cross-departmental coordination.
It empowers lower-level managers to make decisions, which can increase their motivation and job satisfaction.
Delegates day-to-day problem-solving to lower-level managers, thereby enabling top-level managers to concentrate on overall strategy.
However, enabling lower-level managers to make their own decisions independent of one another, which should improve cross-departmental coordination is not an advantage of decentralization. This will only increase departmental rivalry, competition, and a lack of cooperation among the managers. Therefore, it’s not an advantage of decentralization.
Learn more about decentralization: https://brainly.com/question/29377176
#SPJ11
a) Given a continuous income stream at the constant rate of $1,500 per year, what will be the present value if the income stream lasts for 6 years and the continuous discount rate is 0.08 per year?
b) What is the present value of a perpetual cash flow of $4,500 per year, discounted at r=5%?
The present value of the perpetual cash flow is $90,000.
To calculate the present value of a continuous income stream, we can use the formula for the present value of a continuous cash flow:
PV = C / r
Where PV is the present value, C is the continuous income stream, and r is the continuous discount rate.
In this case, the continuous income stream is $1,500 per year for 6 years, and the continuous discount rate is 0.08 per year. Plugging these values into the formula, we have:
PV = $1,500 / 0.08 = $18,750
Therefore, the present value of the continuous income stream is $18,750.
b) To calculate the present value of a perpetual cash flow, we can use the formula for the present value of a perpetuity:
PV = C / r
Where PV is the present value, C is the cash flow, and r is the discount rate.
In this case, the cash flow is $4,500 per year, and the discount rate is 5%. Plugging these values into the formula, we have:
PV = $4,500 / 0.05 = $90,000
Therefore, the present value of the perpetual cash flow is $90,000.
Learn more about present value here:
brainly.com/question/28304447
#SPJ11
Margaret, Annie, and Tammy formed a partnership with income-sharing ratios of 50%, 30%, and 20%, respectively. Cash of $305000 was available after the partnership's assets were liquidated. Prior to the final distribution of cash, Margaret's capital balance was $203000, Annie's capital balance was $158000, and Tammy had a capital deficiency of $56000. Assuming Tammy contributes cash to match her capital deficiency, Margaret should receive cash of O $203000. O $168000. O $137000. O $175000.
After the partnership's assets were liquidated, cash of $305,000 was available. Margaret should receive cash of $78,500.
The capital balance of each partner before the final distribution of cash is as follows: Margaret, $203,000; Annie, $158,000; and Tammy, a capital deficiency of $56,000. The total capital balance was calculated by adding up the capital balances of the three partners before the final distribution of cash. As a result, Total Capital Balance = $203,000 + $158,000 + (-$56,000) = $305,000To calculate the capital balance of each partner after the final distribution of cash, the total capital balance must be reduced by the capital deficiency of Tammy, which is $56,000. Therefore, each partner's share of the $361,000 is determined as follows: Margaret: $124,500Annie: $74,700Tammy: $49,800 + $56,000 = $105,800. Margaret should receive cash of $203,000 (her original capital balance). She already received $124,500 from the partnership's liquidation, therefore, she still requires $203,000 − $124,500 = $78,500 of the cash. Hence, the correct answer is $78,500 below.
To learn more about partnership, visit:
https://brainly.com/question/28696887
#SPJ11
O allocate Question 44 In a market with a binding price floor, rationing among suppliers is accomplished through: O the price mechanism. O the automatic adjustments in the market that reflect the supplies of sellers and the demands of buyers O non-price mechanisms. O both the 1st and 2nd options are correct Book Air
In a market with a binding price floor, rationing among suppliers is accomplished through non-price mechanisms.
When a price floor is set above the equilibrium price in a market, it creates a situation where the price is legally required to be higher than what the market would naturally determine. This results in a surplus of supply, as the quantity supplied exceeds the quantity demanded at the higher price.
In such a scenario, rationing among suppliers, or determining which suppliers are able to sell their goods, is not achieved through the price mechanism. The price mechanism typically relies on the forces of supply and demand to determine the allocation of goods and resources. However, with a binding price floor, the market price is not allowed to adjust to equilibrium, so it cannot perform its usual function of rationing through price adjustments.
Instead, rationing among suppliers in a market with a binding price floor is accomplished through non-price mechanisms. These mechanisms can include methods such as government regulations, licenses, permits, or quotas that determine which suppliers are allowed to sell their goods and in what quantities. The government or relevant authorities may impose restrictions or criteria on suppliers to allocate the limited quantity demanded at the higher price.
In a market with a binding price floor, the rationing among suppliers is accomplished through non-price mechanisms. The price mechanism is unable to adjust due to the price floor, so alternative methods such as government regulations or quotas are used to determine which suppliers can sell their goods.
To know more about price visit:
https://brainly.com/question/28479908
#SPJ11
A negative consequence of recording byproducts in the acct records when the sale occurs is
a. the revenue from the byproducts is usually fairly large b. managers can time earnings by their decision when to sell byproducts c. managers have an incentive to stockpile byproducts d. both (b) and (c)
A negative consequence of recording byproducts in the accounting records when the sale occurs is that managers can time earnings by their decision when to sell byproducts, and they also have an incentive to stockpile byproducts.
The negative consequences of recording byproducts in the accounting records when the sale occurs.
When managers have the discretion to decide when to sell byproducts and record the associated revenue, they can manipulate the timing of earnings. By strategically timing the sale of byproducts, managers can influence the reported earnings of the company, which can impact financial statements and affect the perceptions of investors and stakeholders. This can lead to misleading or distorted financial reporting.
Additionally, recording byproducts in the accounting records when the sale occurs can create an incentive for managers to stockpile byproducts. By accumulating large quantities of byproducts, managers can potentially delay their sale to future periods when they believe it will be more advantageous in terms of financial performance or market conditions. This behavior can distort the recognition of revenue and expenses, and it may not accurately reflect the economic reality of the business.
Learn more about accounting here:
https://brainly.com/question/24159098
#SPJ11
Does the NLRA decision unfairly limit Starbucks in the management of the stores?
The NLRA decision has limited Starbucks in managing its stores, but it is not unfair. Starbucks management, as well as the company's employees, have to follow certain rules and regulations that were implemented as a result of the NLRA decision.
These regulations and rules are intended to ensure that Starbucks employees are treated fairly and that the company complies with federal labor laws. For instance, the decision restricts Starbucks from making any unilateral changes to employee wages, working conditions, or other terms and conditions of employment without the approval of the National Labor Relations Board (NLRB). The decision also prohibits Starbucks from interfering with its employees' right to join or form a union or engage in any other concerted activity for mutual aid or protection. Furthermore, the decision requires Starbucks to negotiate with a certified union over any changes to employee terms and conditions of employment. These limitations have prevented Starbucks from imposing its own management policies on employees and have instead required it to engage in collective bargaining with employees and their representatives.
In conclusion, the NLRA decision has limited Starbucks' management of its stores, but it has done so to ensure that the company complies with federal labor laws and treats its employees fairly. The decision is not unfair as it has given Starbucks employees the right to participate in collective bargaining and has protected their right to engage in concerted activity for mutual aid or protection.
To know more about NLRA visit-
https://brainly.com/question/25970080
#SPJ11
A reduction in income will cause: None of these answers. a reduction in the demand for currency and a reduction in the supply of central bank money. a reduction in the demand for reserves and an increase in the supply of central bank money. a reduction in the supply of central bank money and a reduction in the demand for currency. a reduction in the demand for currency and an increase in the supply of central bank money.
A reduction in income will cause a reduction in the demand for currency and an increase in the supply of central bank money.
Income has a direct impact on the monetary economy, which results in changes in the demand and supply of currency and central bank money. If there is a reduction in income, there will be a subsequent decrease in the demand for currency because people have less money to spend. In contrast, there will be an increase in the supply of central bank money because the bank will need to produce more money to stabilize the economy.
In general, the lower the income, the lower the demand for currency, as people have less money to spend. Consequently, the demand for reserves decreases, while the supply of central bank money increases. This chain of events is because people and businesses will save more, rather than spend more, in a slow economy. This will cause a reduction in demand for currency. As a result, the central bank needs to increase the supply of central bank money to keep the economy going.
To know more about the economy visit:
https://brainly.com/question/17334046
#SPJ11
Month Estimate Actual
1 1050 1100
2 1200 1150
3 950 1000
What is the Mean Bias?
What is the Mean Absolute Ratio?
Mean absolute ratio is the average of the ratios of the absolute differences between the forecast and the actual values. The Mean Bias is -16.67 and the Mean Absolute Ratio is 0.0463.
Mean bias and Mean Absolute Ratio. The mean bias and the mean absolute ratio are measures of forecast accuracy. These measures are used to evaluate the accuracy of the forecast. Mean bias is the average of the differences between the forecast and the actual values. The mean bias and the mean absolute ratio are calculated using the following formulas: Mean Bias = (Σ\frac{(Forecast – Actual) }{ n})
Mean Absolute Ratio =\frac{ (Σ|Forecast – Actual| / Actual) }{ n} .In the given table, we are given the forecast and actual sales of the first three months, as:MonthEstimateActual1 1050 11002 1200 11503 950 1000
Mean Bias = (\frac{Σ(Forecast – Actual) }{ n})
Mean Bias =\frac{ ((1050 – 1100) + (1200 – 1150) + (950 – 1000)) }{ 3}
Mean Bias =\frac{ (-50 + 50 - 50) }{3}
Mean Bias = \frac{-50 }{ 3}
Mean Bias = -16.67
Mean Absolute Ratio =\frac{ (Σ|Forecast – Actual| / Actual) }{ n}
Mean Absolute Ratio = ((|1050 – 1100| / 1100) + (|1200 – 1150| / 1150) + (|950 – 1000| / 1000)) / 3
Mean Absolute Ratio =\frac{ ((50 / 1100) + (50 / 1150) + (50 / 1000)) }{3}
Mean Absolute Ratio = \frac{(0.0455 + 0.0435 + 0.05) }{3}
Mean Absolute Ratio = 0.0463
Therefore, the Mean Bias is -16.67 and the Mean Absolute Ratio is 0.0463.
learn more about forecast accuracy Refer: https://brainly.com/question/28029911
#SPJ11
. The Merriam Company has determined that its return on equity is 25 percent. Management is interested in the various components that went into this calculation. You are given the following information: total debt/total assets=0.50 and total assets turnover = 2.5. What is the profit margin? 22. The Amer Company has the following characteristics: What is Amer's ROE and ROA? Sales $1,000 Basic Earning Power (EBIT/TA) ratio Tax rate 15% Total assets $2,000 40% Total debt/Total assets 50% Interest rate on total debt 5%
Option (B) is correct. Total debt / Total assets = 0.50 Total assets turnover = 2.5 Return on equity = 25%. We need to find the profit margin. Profit margin = Net income / Sales.
Since we don't have information about net income, we cannot calculate it. Therefore, we cannot find the profit margin. Amer Company has the following characteristics.
Sales $1,000Basic Earning Power (EBIT/TA) ratio. Tax rate 15%Total assets $2,000 40% Total debt/Total assets 50% Interest rate on total debt5% Sales = $1,000 EBIT / TA = Basic earning power ratio = 1.5Tax rate = 15%Total assets = $2,000 Total debt / Total assets = 0.50.
The interest rate on total debt = 5% ROA (Return on Assets) = EBIT / Total assets. Basic earning power = EBIT / Total assets = Basic earning power ratio × Total assets= 1.5 × 2,000= $3,000 EBIT = Basic earning power × Total assets= $3,000 ROA = EBIT / Total assets= $3,000 / $2,000= 1.5 = 150% ROE (Return on Equity) = ROA × Equity multiplier
ROA = 1.5 Equity multiplier = Total assets / Shareholder's equity= 2,000 / (2,000 × 0.6)= 2,000 / 1,200= 1.67 ROE = ROA × Equity multiplier= 1.5 × 1.67= 2.5 = 250%. Hence, the ROE and ROA of the Amer Company are 250% and 150% respectively.
To learn more about Equity multiplier, visit here
https://brainly.com/question/30636971
#SPJ11
read, "Mixing It Up." After reading the case application, examine how diverse teams are built. You can explore organizations or companies that have merged into one. Through this exploration identify one particular merge you will be examining. Identify two to three possible processes that were needed to create this diverse team. Discuss how each process could be implemented as well as one possible negative outcome of each process.
Mixing It Up is a case application that discusses how to build diverse teams. Merging two or more organizations or companies is one way to create a diverse team.
A specific merge that will be examined in this article is the merger of Marriott International, Inc. and Starwood Hotels and Resorts Worldwide, Inc.In building a diverse team, two to three possible processes that were needed to create the diverse team are:
1. Establishing a Common Goal: The merged company should have a shared goal that will unite all employees of both companies. This will make them work together to achieve the organization's objectives. The merged company will need to consider the strengths and weaknesses of both organizations in order to develop a shared goal.
2. Communication: Communication is key to merging two organizations. After merging, employees from the former Starwood Hotels and Resorts Worldwide, Inc., and Marriott International, Inc. need to have a common language for understanding.
3. Training and Development: As the merger process progresses, there may be some employees who are not comfortable with the changes. The merged company can offer training programs to its employees to improve their skills and knowledge, particularly those who have been there for a long time and need to be updated with new procedures and policies.
One possible negative outcome of establishing a common goal is that employees may resist changes that do not align with their individual goals. A negative outcome of communication is that employees may misunderstand information and cause confusion, and a negative outcome of training and development is that employees may feel threatened by new colleagues who are more skilled and knowledgeable than them.
To know more about communication visit:
https://brainly.com/question/29811467
#SPJ11
Monica wants to sell her share of an investment to Barney for $190,000 in 7 years. If money is worth 6% compounded semiannually, what would Monica accept today? Multiple Choice O $ 124,856 $ 125,613. $6.786. $124.359
Monica would accept $124,856 today. If money is worth 6% compounded semiannually, then the present value of $190,000 in 7 years is $124,856. This is calculated using the following formula:
Present Value = [tex]\frac{Future value}{(1+\frac{r}{n} )^n^t}[/tex]
where:
Present Value is the value of the investment today
Future Value is the value of the investment in 7 years
r is the interest rate
n is the number of times interest is compounded per year
t is the number of years
In this case, we have:
Present Value = $124,856
Future Value = $190,000
r = 6% = 0.06
n = 2 (semiannual compounding)
t = 7 years
Substituting these values into the formula, we get:
Present Value = [tex]\frac{190000}{(1+\frac{0.06}{2} )^1^4}[/tex]
= $124,856
Therefore, Monica would accept $124,856 today.
Learn more about future value here:
brainly.com/question/30787954
#SPJ11
Read the following situation prudently and answer the questions that follow: [30] Health and More (HM) was established at a sub-urban area of Kathmandu in 2018. It was established with an initial capital of Rs. 30 million with 50 staff by a team of three young entrepreneurs: Ram, Hari and Rita. Ram is a member of a traditional clothing business family. Hari and Sita are fresh MBA graduates. HM served mainly Nepali food items out of which 3 items were developed by own self. It also had a well-equipped Gym with competent trainers. The owners claim that HM is a unique concept of providing a mixture of food, health and ambience. In the initial years, its turnover was satisfactory. On an average, it served 300 customers per day both food and health lovers. Its net profit margin was around 20 percent of the sales. Its relatively lower price, natural environment and friendly services attracted the customers. The success of HM for the first year of its operation inspired the entrepreneurs to expand its branches. At the beginning of 2019, they started two new branches in other parts of the city with the same system, products and physical facilities. The COVID-19 pandemic caused widespread disruption to every sector of the society. Given the travel restrictions and lockdown imposed by the Government, the restaurants were completely shut A SHOT ON OPPO down. As such, HM was also completely closed down for around 6 months in 2020. To address the financial crisis, it laid off 80 percent of its employees. The rest 20 percent were only paid 50 percent of their basic salary. Moreover, HM was forced to ensure social distancing and proper sanitization which increased its operating expenses. Its operating incomes decreased to 25 percent of the previous incomes. Out of the 3, the one initially established was in. break even and the rests two were in heavy losses. From the end of 2021, the situation gradually improved. The government relaxed lockdown gradually. HM started selling its products online. The employees previously laid off were gradually called back. Now, HM plans to open 3 new branches in other areas inside Kathmandu valley. It believes that it can get economies of scale by doing so. The entrepreneurs collectively argue that poor institutional support is a major hindrance to fight against unexpected situations like covid 19 and develop businesses in a sustainable way. Questions: a) How did the entrepreneurs of HM identify business opportunity? What are the other ways of exploring business opportunities? Write. b) Do you think the owners in the above situation are innovative entrepreneurs? Support your viewpoint. c) Critically analyze the decision of HM to open 3 new branches.
A detailed analysis of the potential risks and benefits should be done before making a decision to open new branches.
a) The entrepreneurs of Health and More (HM) identified a business opportunity by introducing a unique concept of providing a mixture of food, health, and ambience.
They established the business with an initial capital of Rs. 30 million with 50 staff in a sub-urban area of Kathmandu in 2018. The success of the business in the initial year of its operation inspired the entrepreneurs to expand its branches in other parts of the city with the same system, products, and physical facilities. However, the COVID-19 pandemic caused widespread disruption to every sector of society and the restaurants were completely shut down, including HM. In order to address the financial crisis, HM laid off 80 percent of its employees and paid the remaining 20 percent only 50 percent of their basic salary. The rest of the employees were gradually called back after the government relaxed the lockdown. One way of exploring business opportunities is through market research, which involves analyzing the market, competition, target customers, and demand for the products or services. This can help businesses to identify untapped market opportunities and areas for growth. Another way is to develop a new product or service that addresses a gap in the market or meets a specific need of the customers.b) Yes, the owners in the above situation are innovative entrepreneurs.
They introduced a unique concept of providing a mixture of food, health, and ambience which attracted customers due to its relatively lower price, natural environment, and friendly services. The entrepreneurs also expanded the business to other parts of the city with the same system, products, and physical facilities. They adapted to the situation during the COVID-19 pandemic by laying off employees, paying the remaining employees 50 percent of their basic salary, and selling products online. They plan to open 3 new branches in other areas inside Kathmandu valley to get economies of scale. This shows that the owners are willing to take risks, adapt to changing circumstances, and innovate to sustain and grow their business.c) The decision of HM to open 3 new branches should be critically analyzed by considering the potential risks and benefits.
On the one hand, opening new branches can help HM to expand its customer base, increase its sales and profits, and achieve economies of scale. This can be beneficial for the business in the long run. On the other hand, opening new branches also involves significant investment in terms of capital, human resources, and management. This can be risky, especially during uncertain times like the COVID-19 pandemic when there is a possibility of another wave of infections and lockdowns. Moreover, the owners need to ensure that the new branches are strategically located, have a sufficient customer base, and have a competitive advantage over the existing businesses in the area.For such more questions on potential risks
https://brainly.com/question/28258522
#SPJ8
Which of the following is associated with advanced stages of the wheel of retailing? Select one: a. lower levels of customer service O b. greater operating costs C. more members in the channel of distribution fewer members in the channel of distribution O d. O e. lower operating costs
Advanced stages of the wheel of retailing are associated with fewer members in the channel of distribution. The Correct option is D
The wheel of retailing theory suggests that retail formats start as low-cost, low-status operations and then progress through successive stages, becoming more sophisticated and upscale over time. As retailers move into advanced stages, they often streamline their operations and eliminate unnecessary intermediaries, resulting in fewer members in the distribution channel.
This consolidation allows retailers to reduce costs, increase efficiency, and exert greater control over their operations. However, it's important to note that as retailers advance, they may also invest in improving customer service, enhancing their product offerings, and providing a more upscale shopping experience. The Correct option is D
Learn more about distribution channel.
https://brainly.com/question/31668451
#SPJ11
At the beginning of current year, CFAS Company was organized and authorized to issue 100,000 shares with P50 par value. During the current year, the entity 1 had the following: transactions relating to shareholders equity: • Issued 10,000 shares.at P70 per share. · Issued 20,000 shares at P80 per share. • Reported net income of P 1,000,000. • Paid dividends of P200,000. • Purchased 3,000 treasury shares at P100 per share. 1. What amount should be reported as share capital at year - end? (Select] < 2. What amount should be reported as share premium at year - end? [Select] 3. What is the total shareholders' equity at year-end? (Select] 4. What is the contributed capital at year-end? (Select]
1. The amount that should be reported as share capital at year-end is P7,000,000.
2. The amount that should be reported as share premium at year-end is P1,400,000.
3. The total shareholders' equity at year-end is P8,200,000.
4. The contributed capital at year-end is P3,500,000.The computation of share capital, share premium, contributed capital and total shareholders' equity is as follows:
Issued shares at the beginning of the year: 100,000 shares x P50 = P5,000,000 Issued shares during the year: 10,000 shares x P70 = P700,00020,000 shares x P80 = P1,600,000 Total amount received for the issuance of shares = P2,300,000 Share capital at year-end = Issued shares at the beginning of the year + Issued shares during the year Share capital at year-end = P5,000,000 + P2,300,000 = P7,300,000 The amount paid in excess of par value is called share premium.
Share premium at year-end = Total amount received for the issuance of shares – Par value of issued shares Share premium at year-end = P2,300,000 – (P50 x 30,000 shares) = P1,400,000Total shareholders' equity at year-end is computed by adding the share capital, share premium and retained earnings: Total shareholders' equity at year-end = Share capital + Share premium + Retained earnings Total shareholders' equity at year-end = P7,300,000 + P1,400,000 + P500,000 = P8,200,000 Contributed capital is the sum of share capital and share premium. Contributed capital at year-end = Share capital + Share premium Contributed capital at year-end = P7,300,000 + P1,400,000 = P8,700,000 However, since the entity purchased 3,000 treasury shares at P100 per share, the total contributed capital at year-end will be reduced by the purchase price of the treasury shares: Total contributed capital at year-end = Contributed capital – Treasury shares Contributed capital at year-end = P8,700,000 – (3,000 shares x P100) = P3,500,000.
To know more about premium visit:
https://brainly.com/question/32107251
#SPJ11
case:
Josh Breitt, Rachel Starr, and Justin Diamond started an advertising agency to serve the needs of small businesses selling in and around their metropolitan area. Breitt contributed clever ideas and a talent for writing scripts and wooing clients. Starr brought a wealth of media contacts, and Diamond handled the artwork. Their quirky ad campaigns soon attracted a stream of projects from car dealers, community banks, and a carpet store. Since the agency's first year, these clients have kept the bills paid while the three win contracts from other companies. Breitt, Starr & Diamond (BS&D) prospered by helping clients keep up with the times, and the agency grew to meet the demand, adding a bookkeeper, a graphic artist, a web designer, two salespeople, a social media expert, and a retired human resource manager, who works 10 hours per week. As the firm grew, the three partners felt they were constantly being pulled away from their areas of expertise to answer questions and solve problems about how to coordinate work, define jobs, and set priorities. They realized that none of them had any management training—and none of them had ever wanted to be a manager. They decided to hire a manager for a position they would call general manager of operations. That person would be responsible for supervising the employees, making sure expenses didn't go over budget, and planning the resources (including people) needed for further growth. The partners interviewed several candidates and hired Brad Howser, a longtime administrator for a four-physician medical office. Howser spent the first few weeks quietly studying BS&D's financial data and observing employees at work. Then he became more outspoken and assertive. Although the partners had never cared to monitor what time employees came or left, Howser began requiring all employees to start by 9:00 each morning. The graphic artist and one of the salespeople complained that flexible hours were necessary for their child care arrangements, but Howser was unyielding. He also questioned whether the employees had been shopping carefully for supplies, indicating that from then on, he would be making all purchases, and only after the employees submitted their requests on a form of his design. Finally, to promote what he called team spirit, Howser began scheduling weekly Monday-morning page 369staff meetings. He would offer motivational thoughts based on his experience at his previous job and invite the employees to share any work-related concerns or ideas they might have. Generally, the employees chose not to share. Initially, the partners were impressed with Howser's vigorous approach to his job. They felt more productive than they had been in years because Howser was handling employee concerns himself. Then the top salesperson quit, followed by the social media expert. The bookkeeper asked if she might meet with the partners. "Is it something you should be discussing with Brad?" Rachel asked her. The bookkeeper replied that, no, it was about Brad. All the employees were unhappy with him, and more were likely to leave
questions:
Identification of Alternatives for each Key Organization and Management Critical Issues and Problems
The key organization and management critical issues and problems in the scenario are as follows:
1. Lack of management expertise: The three partners, Josh Breitt, Rachel Starr, and Justin Diamond, lacked management training and experience.
2. Poor employee management: After hiring Brad Howser as the general manager of operations, issues related to employee management emerged. Howser implemented strict policies, such as enforcing fixed working hours, centralizing purchasing decisions, and scheduling mandatory staff meetings.
The first key issue is the lack of management expertise among the partners. As the agency expanded, they realized the need for a dedicated manager to handle operational tasks and ensure efficient growth. However, the partners' lack of managerial training and experience hindered their ability to effectively address coordination, job definition, and priority setting. This created inefficiencies and a strain on their expertise, potentially affecting the agency's overall performance.
The second issue revolves around poor employee management practices introduced by Brad Howser. While Howser may have brought administrative skills, his approach to employee management appeared inflexible and authoritarian. Imposing fixed working hours disregarded the needs of employees with personal obligations, leading to dissatisfaction and potential disruptions in work-life balance. Centralizing purchasing decisions limited employee autonomy and undermined their expertise in selecting supplies. Furthermore, the introduction of mandatory staff meetings lacked employee engagement and failed to foster a positive and collaborative work environment. The discontent among employees and the subsequent departure of top performers indicate a significant problem in employee satisfaction and retention.
Learn more about skills : brainly.com/question/23389907
#SPJ11
During tensile tests, the ratio of width shrinkage to length extension is O Elastic modulus O Poisson's ratio o Modulus of resilience o Fracture toughness
The ratio of width shrinkage to length extension during tensile tests is referred to as Poisson's ratio.
Poisson's ratio is a material property that describes the ratio of lateral strain (width shrinkage) to longitudinal strain (length extension) when a material is subjected to tensile or compressive forces. It is denoted by the Greek letter "ν" (nu).
Poisson's ratio is calculated as the negative ratio of transverse strain to longitudinal strain:
Poisson's ratio (ν) = - (lateral strain / longitudinal strain)
In the context of tensile tests, when a material is stretched in one direction, it typically contracts in the perpendicular direction. Poisson's ratio quantifies this relationship between changes in width and changes in length.
For most common materials, Poisson's ratio ranges between 0 and 0.5. A value of 0 indicates that the material does not change in width when subjected to length extension, while a value of 0.5 indicates that the material contracts in width to the same extent as it extends in length.
In summary, Poisson's ratio is the appropriate term to describe the ratio of width shrinkage to length extension during tensile tests.
Learn more about Poisson's ratio here:
https://brainly.com/question/31967309
#SPJ11
The GDP per capita of a country was $1700 in 1950. It grew at an average annual rate of 6 percent per year for the next 60 years. Its GDP per capita at the end of the 60 years is $_________.
The GDP per capita at the end of the 60 years is $22,432.25.
To calculate the GDP per capita at the end of the 60 years, we need to apply the average annual growth rate of 6 percent to the initial GDP per capita of $1700.
The formula to calculate the future value of an investment with a constant growth rate is:
FV = PV * (1 + r)^n
Where:
FV = Future value
PV = Present value
r = Growth rate per period
n = Number of periods
In this case, the present value (PV) is $1700, the growth rate (r) is 6 percent (or 0.06), and the number of periods (n) is 60 years.
Plugging in the values into the formula, we get:
FV = $1700 * (1 + 0.06)^60
Calculating this expression:
FV = $1700 * (1.06)^60
≈ $1700 * 12.266512
≈ $20,852.07
Therefore, the GDP per capita at the end of the 60 years is approximately $20,852.07.
After growing at an average annual rate of 6 percent for 60 years, the GDP per capita of the country would reach approximately $20,852.07.
To learn more about GDP, visit
https://brainly.com/question/1383956
#SPJ11
A Planner is attempting to calculate the cumulative lead time needed to supply a finished good item. She/he gathers the following historical data: supplier lead time for the components - 30 days receiving & inspection lead time - 5 days components sat in stockroom inventory - 40 days pick and issue lead time - 1 day assembly and final test lead time - 5 days finished goods sat in inventory - 10 days The cumulative lead time based on the above data is : 41 days 51 35 61 0 91
To calculate the cumulative lead time needed to supply a finished good item, we need to add up the lead times for each step in the process. Based on the given historical data, the cumulative lead time can be calculated as follows:
Supplier lead time for the components: 30 days
Receiving & inspection lead time: 5 days
Components sat in stockroom inventory: 40 days
Pick and issue lead time: 1 day
Assembly and final test lead time: 5 days
Finished goods sat in inventory: 10 days
Cumulative lead time = 30 + 5 + 40 + 1 + 5 + 10 = 91 days
Therefore, the cumulative lead time based on the given data is 91 days.
Learn more about historical here
https://brainly.in/question/34001960
#SPJ11
An electronics superstore is carrying 70" TV for the upcoming Christmas holiday sales. The weekly demand is normally distributed with an average of 63 units and a standard deviation of 13 units. Compute the standard deviation of the total demand over 6 weeks sales period.
The demand per week= sqrt(6) * 13 = 29.27 Therefore, the standard deviation of the total demand over a 6-week sales period is 29.27 units.
The given data is: Average demand = 63 units Standard deviation of demand = 13 units Sales period = 6 weeks We know that the standard deviation of the sum of independent random variables is equal to the square root of the sum of the squares of their standard deviations. Hence, the standard deviation of the total demand over a 6-week sales period can be calculated as follows:Standard deviation of the sum of 6-week demand= sqrt(6) * standard deviation of the demand per week= sqrt(6) * 13 = 29.27Therefore, the standard deviation of the total demand over a 6-week sales period is 29.27 units.
To know more about standard deviation visit:
https://brainly.com/question/29115611
#SPJ11
