Solve the exponential equation by taking the logarithm on both sides. 5^(x+8)=7

Answers

Answer 1
Answer:

x = (log₅7) - 8

Explanation:

Given;

[tex]5^{x+8}[/tex] = 7

Take log of both sides;

log₁₀([tex]5^{x+8}[/tex]) = log₁₀7               -------------(ii)

From the laws of logarithm remember that;

logₐ xⁿ = n logₐ x

Equation (ii) can then be written as;

(x + 8)log₁₀5 = log₁₀7

Divide both sides by log₁₀5

(x + 8) = [tex]\frac{log_{10}7}{log_{10}5}[/tex]                -----------(iii)

From the laws of logarithm, remember that;

[tex]\frac{log_{a}x}{log_{a}y} = log_yx[/tex]

Equation (iii) can thus be written as;

(x + 8) = log₅7

x + 8 = log₅7

Make x subject of the formula;

x = (log₅7) - 8


Related Questions

For a closed economy, GDP is $18 trillion, consumption is $13 trillion, taxes are $2 trillion and the government runs a deficit of $1 trillion. What are private saving and national saving

Answers

Answer:

Private saving = $3 trillion

National Saving = $2 trillion

Explanation:

Private saving = GDP - Taxes - Consumption + Transfer payments

Private saving = $18 trillion - $2 trillion - $13 trillion + 0

Private saving = $3 trillion

Government runs a deficit of $1 trillion means its spending is $1 trillion more than the tax revenue.

So, National Saving = Private saving + Public saving

National Saving = $3 trillion + ($2 trillion - $3 trillion)

National Saving = $3 trillion + (-$1 trillion)

National Saving = $2 trillion

On January 1, 2015, Danville Corporation acquired a machine at a cost of $60,000. The machine's service life was estimated to be ten years and its residual value to be $6,000. The straight-line method was used for depreciation. On January 1, 2020, the machine was no longer useful and was sold for $3,000. For 2020, in regard to this machine, how much of a loss should Danville record

Answers

Answer:

Loss= $30,000

Explanation:

First, we need to calculate the annual depreciation and the accumulated depreciation at the moment of the sale:

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (60,000 - 6,000) / 10

Annual depreciation= $5,400

Accumulated depreciation= 5,400*5= $27,000

Now, the book value and loss from the sale:

Book value= 60,000 - 27,000= $33,000

Loss= selling price - book value

Loss= 33,000 - 3,000

Loss= $30,000

Swifty Company developed the following information about its inventories in applying the lower-of-cost-or-net realizable value basis in valuing inventories. Product Cost Net realizable value A $112000 $122000 B 84000 76000 C 153000 156000 If Swifty applies the LCNRV basis, the value of the inventory reported on the balance sheet would be $354,000. $362,000. $341,000. $349,000.

Answers

Answer:

$341,000

Explanation:

Calculation to determine what the value of the inventory reported on the balance sheet would be

Inventory value=$112000+ 76000+153000

Inventory value=$341,000

Therefore If Swifty applies the LCNRV basis, the value of the inventory reported on the balance sheet would be $341,000

Emily is a cash-basis taxpayer, and she was an especially productive salesperson last year. In December of last year her supervisor told Emily she had earned a $5,000 bonus. However, Emily received the bonus check after year-end. Identify the principle that will determine when Emily is taxed on the bonus. Multiple Choice Assignment of income Constructive receipt Return of capital principle Wherewithal to pay All of these choices are correct.

Answers

Answer:

Constructive Receipt

Explanation:

the term constructive receipt is used when talking in terms of federal income taxes. This term is used to determine when a cash basis tax payer has gotten their gross income in the cash basis method of accounting. the individual here would be needed to pay tax on income even though that the money that  the money being taxed is has not been gotten yet by the individual. this income owner would be able to utilize the money although it has not yet been received.

If the supply of real balances is 300, and the gross domestic product is 90, then the equilibrium interest rate is

Answers

Suppose that the demand for real balances is (M / P)d = (5Y) - (20r). If the supply of real balances is 300, and the gross domestic product is 90, then the equilibrium interest rate is

Answer:

7.5

Explanation:

Given that (M / P)d = (5Y) - (20r).

Where supply of real balances is 300

The gross domestic product is 90

Hence we have 300 = (5Y) - (20r)

Therefore, we have 300 = (5×90) - (20r)

=> 300 = 450 - 20r

=> 20r = 450 - 300

=> 20r = 150

=> r = 150 ÷ 20

=> r = 7.5

Therefore, in this case, the correct answer to the question is that the equilibrium interest rate is 7.5

Suppose that Dr. Reilly owns a medical clinic and he enters into a contract to buy 500 tablets of Gensol from Pharzime. The Gensol that he orders are 200 milligrams each. The Gensol that is delivered however are 100 milligrams each. Decide.

Answers

Answer: See explanation

Explanation:

Based on the information given, it can be infered that the goods are nonconforming due to the perfect tender rule.

According to the perfect tender rule, a buyer can reject goods that are deliveres to him or her tender of the goods from the seller isn't perfect. Since the Gensol that he orders are 200 milligrams each while the one delivered are 100 milligrams each, then they aren't perfect.

Therefore, the clinic can reject the shipment, or keep some and reject others if it wants to.

Why do companies like Abercrombie & Fitch and Zara think that opening retail outlets in Japan will help them with their future products?

Answers

Answer: opportunity

Explanation:

Saw a question like this before. Because it's a opportunity to get more customers and doing it in other countries gives you opportunity for it

Answer:

Because of opportunity

Henna Hair Salon purchased supplies for $6,000 and debited Supplies for the full amount. At the end of the accounting period, $1,800 worth of supplies were still on hand. Identify the adjusting entry needed at the end of the period. debit Supplies $4,200; credit Supplies Expense $4,200 debit Supplies Expense $7,800; credit Supplies $7,800 debit Supplies $1,800; credit Supplies Expense $1,800 debit Supplies Expense $4,200; credit Supplies $4,200

Answers

Answer: D. debit Supplies Expense $4,200; credit Supplies $4,200

Explanation:

Based on the information given in the question, the adjusting entry needed at the end of the period will be to debit Supplies Expense $4,200 and credit Supplies $4,200.

The supplies expenses of $4200 was gotten as:

= $6000 - $1200

= $4800

Therefore, the correct option is D.

.

A company had $43 missing from petty cash that was not accounted for by petty cash receipts. The correct procedure is to:

Answers

Answer: The correct procedure is to “debit cash over and short for $43”.

Coca-Cola vending machines are found all over the world. The newest machines have an interactive screen that runs advertisements and allows users to obtain free photos of themselves and ringtones after they have bought a drink. Critics of these new vending machines are concerned that entertaining technology is being used to market sugary products. In terms of a SWOT analysis, this concern from outside critics would be an example of a(n):

Answers

Answer:

Threat

Explanation:

From the question we are informed about Coca-Cola who was vending machines are found all over the world. The newest machines have an interactive screen that runs advertisements and allows users to obtain free photos of themselves and ringtones after they have bought a drink. Critics of these new vending machines are concerned that entertaining technology is being used to market sugary products. In terms of a SWOT analysis, this concern from outside critics would be an example of a threat.

SWOT analysis can be regarded as business analysis which make sure that there is definition for objectives of a project and all factors that has relation to the project are properly identified. It encompass four areas, these are

✓Strengths

✓Opportunities

✓ Threats

✓Weaknesses

Threats can be regarded as anything which can destroy ones organization or company or product.

Why may a company find it easier to operate in one country than in another? (Choose every correct answer.)

Answers

Well because taxes play an important role on businesses. Also location because if they have access to bodies of water, they’re able to promote and expand their business more.

At the end of 2017, companies from one country collectively owned $22 billion in assets in its neighboring country. The $2 billion represents the ________ of FDI. A. stock B. flow C. outflow D. trend E. exchange

Answers

Answer:

A. Stock

Explanation:

The Stock of Foreign Direct Investment (FDI) measure the total level of direct investment at a given point in time, usually the end of a quarter or of a year.

The outward FDI stock is the value of the resident investors' equity in and net loans to enterprises in foreign economies.

Mr. Capadona would like to purchase a Medicare Advantage (MA) plan and a Medigap plan to pick up costs not covered by that plan. What should you tell him

Answers

Answer: It is illegal for you to sell Mr. Capadona a Medigap plan if he is enrolled in an MA plan, and besides, Medigap only works with Original Medicare.

Explanation:

Since we've the information that Mr Capadona would like to purchase a Medicare Advantage (MA) plan and a Medigap plan to pick up costs not covered by that plan.

Based on the above, he should be told that it is illegal for you to sell Mr. Capadona a Medigap plan if he is enrolled in an MA plan, and besides, Medigap only works with Original Medicare.

All of the following are Forecasting methods with the exception of: Group of answer choices a. Econometric methods b. Time series methods c. Judgmental methods d. Analogous methods

Answers

Answer:

Option "D" is the correct answer to the following question.

Explanation:

Analogous Estimation leverages information from previous projects to predict the length or expense of your present project, hence the name. When you have limited knowledge on your present project, you can utilise comparable estimate. Analogous estimate is a simple approach to use.

So, it is not a forecasting method.

In Mexico, Walmart has built stores with wider aisles than in U.S. stores. Walmart made this adjustment because in Mexico families have the habit of shopping together such that one family might bring six people to Walmart to shop. This example shows that _______.

Answers

Answer: segmentation helps Walmart decision makers align with local customs

Explanation:

Market segmentation is the division of a broad consumer market, into sub-groups of consumers which are called the segments since the needs of customers are different.

Since Walmart has built stores with wider aisles than in U.S. stores because in Mexico families have the habit of shopping together, it shows that segmentation helps Walmart decision makers align with local customs.

Which of these is a consumer right recognized by the United Nations? a. right to equality b. right to openness c. right to education d. right to collaboration Please select the best answer from the choices provided A B C D

Answers

Answer:

c. right to education

Explanation:

The United Nations Convention for Contracts on International Sale of Goods (CISG) refers to an international trade agreement for the sales of goods in the international market. The Contracts for the International Sale of Goods (CISG) was adopted at the Vienna Convention in 1980.

The main purpose of the international trade agreement is to eliminate or remove any barrier arising from the various domestic laws put in place by different countries with respect to international sales of goods or products.

Also, the Contracts for the International Sale of Goods (CISG) establishes a set of rules to govern and regulate the making and performance of commercial contacts between a buyer and a seller of goods.

The right to education on a particular goods or service is a consumer right recognized by the United Nations (UN).

Additionally, the international trade agreement has helped to make the international sales of goods to be less cumbersome, unambiguous and mitigated the chances of dispute among countries.

If the premiums are not paid on a Traditional Whole Life policy that has been in force for decades with no loan outstanding, what happens

Answers

Answer:

The surrender cash value is used for the extended term option.

Explanation:

This is where the nonforfeiture clause comes to policyholders aid. The nonforfeiture clause allows the policy holder who has not made payment of premiums within the grace period to be able to get the cash value of his whole life policy(with already paid premiums), recovered either by cash or extended term option or any other agreement made prior. The cash value of his whole life policy could be applied to the extended term option, allowing the policy holder to get a term insurance policy worth the value of his surrender whole life policy minus any loans against it.

Terra Corp. is incorporated in Florida with its principal office in Destin. Phyllis is the president of Terra Corp. and owns 51% of its shares. A potential buyer approached Phyllis with an offer to purchase her shares. The buyer offered Phyllis an additional bonus if Phyllis would step down from her office as president. Phyllis approached her attorney to determine whether the agreement to sell her shares is valid. The attorney should advise Phyllis that:

Answers

Answer: The agreement breaches Phyllis's fiduciary duty of loyalty as an officer of the corporation.

Explanation:

The attorney should advise Phyllis that the agreement breaches Phyllis's fiduciary duty of loyalty as an officer of the corporation.

The duty of loyalty forbids an officer from having his personal interests above that of the corporation. In this situation, accepting a bonus in order to give up the presidency simply means the officer has out his interest above those of the corporation, hence this is a breach of duty.

True or false: According to the equity theory, each worker develops a personal input-output ratio to compare his or her inputs with the inputs or rewards offered by the organization.

Answers

Answer:

true

Explanation:

plz add me in ur brainlist

The answer is : True

______ is a legal doctrine that requires employers to have a job-related reason for terminating employees, including violation of rules and poor performance.

Answers

Answer:

A wrongful discharge (dismissal)

Explanation:

An employee can be defined as an individual who is employed by an employer of labor to perform specific tasks, duties or functions in an organization.

Basically, an employee is saddled with the responsibility of providing specific services to the organization or company where he is currently employed while being paid a certain amount of money hourly, daily, weekly, or monthly depending on the contractual agreement between the two parties (employer and employee).

Hence, while an employer may be the owner of a business firm or company, an employee is a subordinate employed to provide unwavering services to the employer while also, being professional and diligent at all times.

A wrongful discharge (dismissal) refers to a legal doctrine that requires employers of labour to have a job-related and justifiable reason for the termination of an employee's contract, including violation of rules and poor performance by the employee.

_____ is used to develop tactical plans by integrating customer-focused marketing plans for new and existing products with the operational management of the supply chain.

Answers

Answer:

Sales and operations planning (S&OP).

Explanation:

Supply chain management can be defined as the effective and efficient management of the flow of goods and services as well as all of the production processes involved in the transformation of raw materials into finished products that meet the insatiable want and need of the consumers. Generally, the supply chain management involves all the activities associated with planning, execution and supply of finished goods and services to the consumers.

Generally, the four (4) stages of a supply chain include the following;

I. Supply management.

II. Supply chain management.

III. Supply chain integration.

IV. Demand-supply collaboration.

Sales and operations planning (S&OP) is an aspect of business management and supply chain planning that is typically used for the development of tactical plans by integrating customer-focused or customer-oriented marketing plans with respect to new and existing products into the operational management of the supply chain.

In conclusion, sales and operations planning (S&OP) helps manufacturers to better match supply with consumer demands by means of collaboration between the sales department and the operations department to create a single production plan.

According to the text, economists are starting to understand that ________ matter just as much as ________ to occupational success.

Answers

Answer:

personality traits; cognitive ability

Explanation:

The definition of a personality trait is a quality or an attributed that become different with respect to the character, action and the attitude.

While on the other hand, the cognitive ability means the mental capability that includes the capability for reasons, planning, problem solving

So here the personality traits are understand and also the cognitive ability for success of an organization

The delay between registering new securities with the SEC and selling them can best be avoided by use of proxy. shelf-registration. use of a margin call. use of preemptive rights.

Answers

Answer: shelf registration

Explanation:

The delay between registering new securities with the securities exchange commission and selling them can be avoided by use of shelf-registration.

Shelf registration, is a form of public offering whereby some issuers can offer and also be able to sell their securities to the public such that a separate prospectus isn't required for each offering and also a further prospectus isn't required as well.

The main advantage of the shelf registration is that it's timely and certain such that the capital markets can be accessed even when it's required.

A group of six investors wants to open a new bank. In their application to the Comptroller of the Currency, they discuss that the community they want to do business in has a median income of $55,000, that there are approximately 75,000 homes in the community and that there is approximately $5.6 million in sales generated in the community on any given day. Which decision factor for seeking a new charter are the investors discussing

Answers

Answer: The level of economic activity in the community

Explanation:

The decision factor for seeking a new charter that the investors discussing is the level of economic activity in the community. Economic activity refers to the activity regarding the provision, purchase and sale of goods or services in an economy.

Since the investors discuss that the community has a median income of $55,000, has 75,000 homes and that there is approximately $5.6 million in sales generated in the community on any given day, then they're discussing about the level of economic activity in the community.

The Texas Constitution mandates that money spent on debt service cannot exceed more than what percentage of state revenue

Answers

Answer:

5 percent

Explanation:

The Texas Constitution mandates that money spent on debt service cannot exceed more than 5 percent. When the state of Texas was established, Texas had very little debt. So, as a result, the Constitution was created and it states that it can not exceed 5%. Therefore, the answer is 5 percent.

If both buyers and sellers expect the price of a commodity to fall in the​ future, it is likely that the market clearing price​ ________ and the equilibrium quantity​ ________.

Answers

Answer:

Fall; Can not be determined

Explanation:

Fall; Can not be determined

The fall in the prices of commodities in future will result in a decrease in demand at present and the seller will try to sell at the highest possible price so it will increase the supply. Resulting, the demand curve will shift leftwards and the supply curve will shift rightwards. But, the magnitude of shift in supply curve will decide the quantity. So, quantity can be increased or decreased. Thus prices will fall but quantity can not be determined.

which component of effective high-performance teams is represented by the use of real-time feedback devices acls

Answers

Answer: Quality

Explanation:

High-performance teams refers to the teams, or organizations which focuses on their goals and therefore achieve superior results and outperform other similar teams.

The component of effective high-performance teams that is represented by the use of real-time feedback devices is quality.

A high-performance team is described as a combination of people with particular responsibilities and supplementary abilities and skills aligned with and dedicated to a shared goal, who constantly exemplifies cooperation and mutual and innovative thinking, start producing excellent performance, and suppress revolutionary or drastic views that may be harmful.  

The component of effective high-performance teams is represented by the use of real-time feedback is  Quality.

The high-performance team is known for being the similar, main objective, and sound better system that helps any group member to overcome any obstacles in attaining the team's objectives.

In psychology, quality is a property or feature of an element. The concept of qualities, and notably how to identify different kinds of characteristics from one another, is still debated in contemporary philosophy.

To know more about the high-performance teams and quality, refer to the link below:

https://brainly.com/question/21852404

what are the main functions of HR department

Answers

Answer:

Personnel administration.

Personnel recruitment and selection.

Compensation and incentive management.

Development of a positive work climate.

Employee performance evaluation.

Staff training and development.

Labour relations.

Occupational health and safety.

Explanation:

The functions of a human resources Department are numerous and diverse, as this team is responsible for managing a company's human capital to meet the established business objectives. The personnel department is key in any company, from attracting and retaining talent to guaranteeing the interests and well-being of employees.

f a business wants to sell a product or service on the Internet for the first time, the __________ would need to understand the wide-ranging risks involved as well as the organization's security capability. A. executive committee B. operational risk committee C. compliance committee D. security committee

Answers

Answer:

b

Explanation:

The operational risk committee has the responsibility of maintaining and overseeing the operational risk of an organisation. They are to identify possible operational risks of all the activities of a company and take steps to mitigate and manage such risks

The functions of The operational risk committee includes :

Identify possible risksEvaluate the risks Develop and implement strategies needed to manage the riskEvaluate the risk and strategize implemented regularly

A certain college graduate borrows 6900 dollars to buy a car. The lender charges interest at an annual rate of 18%. Assuming that interest is compounded continuously and that the borrower makes payments continuously at a constant annual rate k dollars per year, determine the payment rate that is required to pay off the loan in 7 years. Also determine how much interest is paid during the 7-year period.

Answers

Answer:

a) k = $1734.86 per year

b) $5244.02

Explanation:

Principal ( borrowed ) = $6900

Annual interest rate = 18%  ( compounded continuously )

Borrower makes a continuous payment at a constant rate : $k per year

a) Determine payment rate required to payoff loan ( in 7 years )

let loan at time ( t ) = x

x = $6900 , at t = 0

rate of increase of loan amount = 0.18x

rate of decrease of loan amount = k

∴ net change of loan x

= dx/dt = 0.18x - k  

hence ; dt = dx / ( 0.18x - k )

k = $1734.86 per year

attached below is a part of the solution

b) Determine how much interest is paid during 7-year period

Interest paid in 7 years

= Amount paid - principal amount

= ( 1734.86 * 7 ) - 6900

= $5244.02

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