A ramp is designed with the profile of a right triangle. The measure of one acute angle is 2 times the measure of the other acute angle. Find the measure of each angle.

Please help fast!!! I will give you 5 stars I really need this answered. Thank you!

Answers

Answer 1

Answer:

Measure of each angle is 90, 45, 45 degrees

Step-by-step explanation:

We know a right angle automatically is 90 degrees. An entire triangle is 180 degrees. Lets make our problem.

90 + 2x = 180

Subtract 90 from both sides: 2x = 90

Divide each side by 2: x = 45

I hope this helped, please mark Brainliest, thank you!


Related Questions

I need the answers too all the shown questons please.

Answers

Question 11 is -0.82

please helpp me !!!!!

Answers

Answer: B

15% of 4208.60 is $31.29

Marguerite draws a net of a solid figure. The net has 1 square face and 4 triangular faces. For which polyhedron did Marguerite draw a net? Choose the correct answer below. A triangular prism A triangular pyramid A square pyramid A rectangular prism

Answers

Marguerite drew a net of a polyhedron that has one square face and four triangular faces. We can conclude that Marguerite drew a net for a square pyramid.

From the information given in the problem, we know that Marguerite's net has one square face and four triangular faces. This means that the polyhedron that the net represents must have five faces in total. We can use the number of faces, along with the fact that the faces are either triangles or squares, to determine which polyhedron it is.

A triangular prism has two triangular faces and three rectangular faces. Therefore, it is not possible that Marguerite drew a net for a triangular prism.

A triangular pyramid has one triangular face and three triangular faces. Therefore, it is not possible that Marguerite drew a net for a triangular pyramid.

A square pyramid has one square face and four triangular faces. Since this is the only option with one square face and four triangular faces, it must be the polyhedron that Marguerite drew a net for.

A rectangular prism has six faces, and none of them are triangles. Therefore, it is not possible that Marguerite drew a net for a rectangular prism.

Therefore, we can conclude that Marguerite drew a net for a square pyramid.

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What is the product?

Answers

Answer:

it shows that it's B

the gray check mark

What is the value of 2x in this equation
5x - 2(2x - 1) = 2(3x - 4)

Answers

Answer:

4

Step-by-step explanation:

Step 1: Write equation

5x - 2(2x - 1) = 2(3x - 4)

Step 2: Solve for x

Distribute: 5x - 4x + 2 = 6x - 8Combine like terms: x + 2 = 6x - 8Subtract x on both sides: 2 = 5x - 8Add 8 to both sides: 10 = 5xDivide both sides by 5: 2 = xRewrite x = 2

Step 3: Check

Plug in x to verify it's a solution.

5(2) - 2(2(2) - 1) = 2(3(2) - 4)

10 - 2(4 - 1) = 2(6 - 4)

10 - 2(3) = 2(2)

10 - 6 = 4

4 = 4

Here we see that x = 2 is indeed a solution

Step 4: Find 2x

2(2) = 4

Answer:

It is 4

Step-by-step explanation:

Lamar needs to drive 22 miles to work.so far he has driven 6.7 miles how many more miles must he drive​

Answers

The answer is 15.3 because if you subtract 6.7 from 22 you’ll get the answer 15.3
It’s 15.3 they right 6.7-22 is 15.3

The marching band sells cases of oranges and grapefruit for a fundraiser. Shakira sells 5 cases of oranges and 8 cases of grapefruit for $235. Jeff sells 3 cases of oranges and 2 cases of grapefruit for $85. How much would 1 case of each fruit cost altogether?

Answers

Answer:

Cost of 1 case of oranges is $ 15 and cost of 1 case of grapefruits is $ 20

(Cost of 1 case of oranges and 1 case of grapefruits altogether equal to [tex]15+20=\$35[/tex])

Step-by-step explanation:

Let cost of 1 case of oranges be [tex]\$x[/tex] and cost of 1 case of grapefruits be [tex]\$y[/tex]

As  cost of 5 cases of oranges and 8 cases of grapefruit is $235,

[tex]5x+8y=235[/tex]           ...(i)

As  cost of 3 cases of oranges and 2 cases of grapefruit is $85,

[tex]3x+2y=85[/tex]          ...(ii)

Multiply equation (ii) by [tex]-4[/tex]

[tex]-12x-8y=-340[/tex]      ...(iii)

Add (i) and (iii)

[tex]-7x=235-340\\-7x=-105\\x=\frac{-105}{-7}\\ =15[/tex]

Put [tex]x=15[/tex] in (i)

[tex]5(15)+8y=235\\75+8y=235\\8y=235-75\\8y=160\\y=\frac{160}{8}=20[/tex]

So,

Cost of 1 case of oranges is $ 15 and cost of 1 case of grapefruits is $ 20

Therefore,

Cost of 1 case of oranges and 1 case of grapefruits altogether equal to [tex]15+20=\$35[/tex]


Question Content Area
The relationship of $291,917 to $134,868, expressed as a ratio,
is
a.0.5
b.0.7
c.0.9
d.2.2

Answers

The relationship of $291,917 to $134,868, expressed as a ratio, is approximately 2.2. Therefore, the correct answer is option d. 2.2.

To calculate the ratio, we divide the first value ($291,917) by the second value ($134,868):

Ratio = $291,917 / $134,868 ≈ 2.1622

Rounding this value to one decimal place, we get approximately 2.2.

In other words, the first value ($291,917) is approximately 2.2 times larger than the second value ($134,868) when expressed as a ratio. This means that the first value is about 120% larger than the second value.

To verify this calculation, we can also calculate the ratio using percentages. The percentage difference between the two values can be calculated as:

Percentage Difference = [(First Value - Second Value) / Second Value] * 100

Percentage Difference = [(291,917 - 134,868) / 134,868] * 100 ≈ 116.6%

This calculation shows that the first value is approximately 116.6% larger than the second value. When expressed as a ratio, this corresponds to approximately 2.2.

In summary, the relationship of $291,917 to $134,868, expressed as a ratio, is approximately 2.2. This means that the first value is approximately 2.2 times larger than the second value. Therefore, the correct answer is option d. 2.2.

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One tablespoon of olive oil contains 122.7 calories. How many calories are in 3 tablespoons of olive
oil?

Answers

Answer:

368.1

Step-by-step explanation:

122.7 x 3 = 368.1

Answer:

368.1 calories

Step-by-step explanation:

122.7 x 3

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x) - 3?
A.
It is the graph of f(x) translated 3 units down.
B.
It is the graph of f(x) translated 3 units to the left.
C.
It is the graph of f(x) translated 3 units up.
D.
It is the graph of f(x) where the slope is decreased by 3.

Answers

The graph of g(x) = f(x) - 3 is the graph of f(x) = x translated 3 units down.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point either up, down, left or right of a coordinate plane.

The graph of g(x) = f(x) - 3 is the graph of f(x) = x translated 3 units down.

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Answer:

it's A

got it right on Plato edmentum

Step-by-step explanation:

4. Determine whether the set, together with the indicated operations, is a vector space. Explain a) The set {(x,x): x is a real number} with the standard operations b) The set {(x,x): x is a real number} with the standard operations. The set of all 2 x 2 matrices of the form with the standard operations The set {(x, y): x ≥ 0, y is a real number} with the standard operations in R2 e) The set of all 2 x 2 singular matrices with the standard operations

Answers

a) The set {(x, x): x is a real number} with the standard operations is a vector space.

b) The set {(x, x): x is a real number} with the standard operations is not a vector space.

c) The set of all 2 x 2 matrices of the form is a vector space with the standard operations.

d) The set {(x, y): x ≥ 0, y is a real number} with the standard operations in R2 is not a vector space.

e) The set of all 2 x 2 singular matrices with the standard operations is not a vector space.

a) The set {(x, x): x is a real number} with the standard operations is a vector space. It satisfies all the properties of a vector space: closure under addition and scalar multiplication, associativity, existence of additive and multiplicative identity elements, the existence of additive inverses, and distributivity.

b) The set {(x, x): x is a real number} with the standard operations is not a vector space. While it is closed under addition and scalar multiplication, it fails to satisfy the existence of additive inverses. For example, the vector (1, 1) does not have an additive inverse within the set, as there is no vector (x, x) such that (1, 1) + (x, x) = (0, 0).

c) The set of all 2 x 2 matrices of the form is a vector space with the standard operations. It satisfies all the properties of a vector space, including closure under addition and scalar multiplication, associativity, existence of additive and multiplicative identity elements, existence of additive inverses, and distributivity.

d) The set {(x, y): x ≥ 0, y is a real number} with the standard operations in R2 is not a vector space. It fails to satisfy closure under addition, as adding two vectors in the set may result in a vector with a negative x-component, violating the condition x ≥ 0.

e) The set of all 2 x 2 singular matrices with the standard operations is not a vector space. It fails to satisfy closure under scalar multiplication, as multiplying a singular matrix by a scalar may result in a non-singular matrix, violating the condition of remaining within the set.

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Graph the solution to the inequality
|y+5|> 2

Answers

Answer:

y>-3 y>-7

Step-by-step explanation:

-(y+5)>2

y<-7

About how many feet are in 3.6 kilometers?

Answers

Answer:

11811 feet

Step-by-step explanation:

Hope this helps

Answer:

11811.024  feet

Step-by-step explanation:

1 kilometer = 3280.84 feet

3.6 x 3280.84 = 11811.024

an angle measures 150 more than the measure of its supplementary angle​

Answers

Ans: 30 degrees

Supplementary angles are 180 degrees

So, the equation would be 180 - 150 to find the other angle

180 - 150 = 30 degrees

A grocery store sells a bag of 6 oranges for $4.80. If Austin spent $8.00 on oranges, how many did he buy?
PLSSS HELP I WILL MARK BRAINLIEST AND HELP WITH YOUR QUESTIONS PLSSSSS

Answers

Answer: its 10

Step-by-step explanation:4.80 divide by 6 is 0.8 so each is 0.8 0.8x10 is 8

so the answer is 10

Austin can buy 10 oranges for $8 as the unit rate for orange is $0.8.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A grocery store sells a bag of 6 oranges for $4.80.

So, The cost of one orange is,

= $(4.80/6).

= $0.8.

Therefore, For $8 Austin can buy, (8/0/8) = 10 oranges.

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HELP ME PLEASE, SEE THE PICTURE!!!

Answers

Step-by-step explanation:

12.3×10⁶= 123⁷

4.1×10³= 41⁴

123⁷:41⁴= 3³

PLEASE HELP
I’ll give brainlest

Answers

I believe its the population of the Us is almost 4x the population of germany

Germany is 80000000

United States is 300000000

300000000/80000000
is 3.75

Answer:

Your answer would be the 4th answer choice.

Step-by-step explanation:

First step would be solve for each:

So that means for the United States it would be:

3*10^8

Solve 10^8

10^8= 100,000,000

So that makes the equation be

3*100,000,000

Which equals:

300,000,000

Next is to solve for Germany:

8*10^7

Solve 10^7

10^7=10,000,000

So that makes the equation be

8*10,000,000

Which equals:

80,000,000

Then divide 300,000,000 by 80,000,000 and that gets you 3.75 which is about 4. So your answer would be the 4th answer

When someone just starts a company and adds 60,000 cash to
start, will this 60,000 be considered beginning cash for the cash
flow statement?

Answers

When someone just starts a company and adds $60,000 cash to start, it will be considered beginning cash for the cash flow statement. The cash flow statement presents an overview of the cash that comes in and goes out of a company. It categorizes the cash flows into three main categories:

operating activities, investing activities, and financing activities. The cash flow statement provides information regarding the amount of cash that is flowing in and out of the company. The statement of cash flows is used to determine a company's liquidity and the ability to meet short-term obligations.The cash flow statement's beginning cash balance should be the amount of cash that the company had at the beginning of the reporting period. In this case, the $60,000 would be the beginning cash balance for the cash flow statement.

When someone just starts a company and adds $60,000 cash to start, it will be considered beginning cash for the cash flow statement. The cash flow statement is a critical financial statement that presents an overview of the cash that comes in and goes out of a company. It categorizes the cash flows into three main categories: operating activities, investing activities, and financing activities. The cash flow statement provides information regarding the amount of cash that is flowing in and out of the company. The statement of cash flows is used to determine a company's liquidity and the ability to meet short-term obligations.The cash flow statement's beginning cash balance should be the amount of cash that the company had at the beginning of the reporting period. In this case, the $60,000 would be the beginning cash balance for the cash flow statement. The beginning cash balance is important because it sets the stage for the cash flows that will be presented in the statement. The cash flow statement's beginning cash balance is calculated by taking the previous reporting period's ending cash balance. The ending cash balance from the previous reporting period would be $0 since the company did not exist yet. The $60,000 would, therefore, be the beginning cash balance for the cash flow statement.

To summarize, when someone starts a new company and adds $60,000 cash to start, the $60,000 will be considered beginning cash for the cash flow statement. The cash flow statement is a critical financial statement that provides information on the cash that comes in and goes out of a company. The beginning cash balance for the cash flow statement is the amount of cash that the company had at the beginning of the reporting period. Since the company did not exist in the previous reporting period, the $60,000 will be the beginning cash balance for the cash flow statement.

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Solve the following equation for N

1/5 (N+3)+4=3/10 (2N-2)


n = ________

Answers

Answer:

n = 13

Step-by-step explanation:

1/5(n + 3) + 4 = 3/10(2n - 2)

~Simplify both sides

1/5n + 3/5 + 4 = 3/5n - 3/5

~Combine like terms

1/5n + 23/5 = 3/5n - 3/5

~Subtract 23/5 to both sides

1/5n = 3/5n - 26/5

~Multiply 5 to both sides

n = 3n - 26

~Subtract 3n to both sides

-2n = -26

~Divide -2 to both sides

n = 13

Best of Luck!

The rainfall on Mary's farm last year was 35 inches. The average rainfall for her
area is 48 inches per year. Her last year's rainfall was what percent of the
average rainfall? Express the answer to the nearest whole percent. This is a
type 3 precent problem: What percent is 48 of 35?

Answers

Let WHAT PERCENT = x.

48x = 35

x = 35/48

x = 0.7291666667

Round to two decimal places.

x = 73%

Are the statements true or false?

Select a true or false statement.

Answers

Answer:

It is false and true

                                       

The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, manufactured by Phonola Record Industries, is related to the price per compact disc. The equation p = -0.00054 x + 7\ \ \ \ \(0<=x<=12,000\) where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by C(x) = 600 + 2x - 0.00001 x^2 \ \ \ \ \(0<=x<=20,000\)
To maximize its profits, how many copies should Phonola produce each month? Hint: The revenue is R(x) = px, and the profit is P(x) = R(x) - C(x).
(Round your answer to the nearest whole number.) (blank) discs/mont

Answers

The equation for demand is p = -0.00054x + 7 (where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price) and the equation for cost is C(x) = 600 + 2x - 0.00001x2.

To maximize its profits, the number of copies Phonola Record Industries should produce each month can be found by calculating P(x) and then finding its maximum value by differentiating it with respect to x, setting the derivative equal to zero, and then solving for x. The maximum value of P(x) will give the optimal quantity. This optimal value should be rounded to the nearest integer.

The demand for Walter Serkin's recording of Beethoven's Moonlight Sonata, produced by Phonola Record Industries, is determined by the unit price in dollars and the number of discs demanded. The relation between these variables can be given by the demand equation p = -0.00054x + 7, where p denotes the unit price in dollars and x is the number of discs demanded. The cost of producing these discs can be given by the cost equation C(x) = 600 + 2x - 0.00001x2, where x is the number of copies produced per month.Since the revenue generated is determined by the unit price and the number of copies sold, R(x) = px, and the profit is given by P(x) = R(x) - C(x). To maximize profits, the optimal number of copies Phonola should produce can be obtained by finding the maximum value of P(x).To obtain the optimal number of copies Phonola should produce, we must first calculate the profit function P(x), which is the difference between the revenue and cost functions. This is given by:P(x) = R(x) - C(x)P(x) = px - (600 + 2x - 0.00001x2)P(x) = -0.00054x2 + 5x - 600To find the optimal value of x, we differentiate P(x) with respect to x and set it equal to zero: dP(x)/dx = -0.00108x + 5 = 0x = 4629Rounding this value to the nearest integer gives us 4630 as the optimal number of copies that Phonola should produce.

The optimal number of copies that Phonola should produce to maximize its profit is approximately 4630 copies per month.

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A ______ tells you what percentage of a distribution scored below a specific score.
A. standard deviation
B. mean
C. percentile
D. frequency

Answers

A percentile tells you what percentage of a distribution scored below a specific score and hence, option C) is the correct answer.

A percentile is a measure used to indicate the value below which a given percentage of observations in a group of observations falls. For a set of data, a percentile is the number below which a certain percentage of data fall.

In other words, a percentile is the percentage of observations that fall below a particular score in a distribution. The percentile rank of a score represents the percentage of people who have lower scores.

When it comes to percentile scores, there is a range of scores that are associated with a percentile rank, and each score in that range corresponds to the same percentile rank.

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please solve question iii. tq
please solve question iii. tq
please solve question iii. tq
b) Solve: A toy manufacturer wants to open a third warehouse that will supply three retail outlets. The new warehouse will supply 500 units of backyard playsets per week. Two locations are being studi

Answers

The cost is the same for each location when the cost function is equal. Therefore, we can equate the cost functions for both the locations to find out the number of units per week at each retail outlet:

Location 1:Cost function:

[tex]C1=300(\frac{500}{x1})+200(\frac{500}{y1})+500000[/tex]

where x1 and y1 are the number of units supplied to Retail Outlets 1 and 2, respectively. Location 2:Cost function:

[tex]C2=400(\frac{500}{x2})+150(\frac{500}{y2}) +750000[/tex]

where x2 and y2 are the number of units supplied to Retail Outlets 1 and 2, respectively . To find out the number of units per week at each retail outlet when the cost is the same using both locations, we need to equate the cost functions and solve for the variables as follows:

[tex]300(\frac{500}{x1})+200(\frac{500}{y1}) +500000=400(\frac{500}{x2})+150(\frac{500}{y2})+750000[/tex]

Simplifying and rearranging terms, we get:

[tex]\frac{60}{x1} +\frac{40}{y1} = \frac{80}{x2} +\frac{30}{y2} -5000[/tex]

..(1)Also, we know that the total number of units supplied to both retail outlets is 500 per week, i.e.,

[tex]x1 + y1 = 500 and x2 + y2 = 500[/tex]

Solving the above equations (1) and (2), we get

[tex]:x1 = 250, y1 = 250, x2 = 400,[/tex]

and y2 = 100Therefore, the number of units per week at each retail outlet is as follows:For Location 1, Retail Outlet 1 and 2 get 250 units each per weekFor Location 2, Retail Outlet 1 and 2 get 400 and 100 units per week, respectively.

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PLEASE HELP !!

Suppose that 2
PLEASE HELP!!!

Answers

You didn’t insert a full question

what symptom must a worker report to her manager?
a rash
fatigue
diarrhea
pain

Answers

Answer:

pain

Step-by-step explanation:

do you need to report pain because you may get off time from work still see your pain or your manager might let you take a break due to your pain

Answer:

Fatigue

Step-by-step explanation:

Because Fatigue is one of the common things that can tell whether you have this sickness or another sickness.It is also common and in which can turn into something serious This is my opinion.

which of the following values are solutions to the inequality 1+5x<4? I. 6 II. 5 III. 2

Answers

Answer:

none...

Step-by-step explanation:

Using the Distributive Property to Solve
Solve to find the value for x in the linear equation: 36-4x + 5) = 12
1. Use the distributive property:
3(-4x) + 3(5) = 12
-12x + 15 = 12
-12x + 15 - 15 = 12 - 15
-12x = -1
Use the subtraction property of equality:
Division property of equality
Y
Intro
Done

Answers

Answer:

-4x=-29 or 4x-29

step-by-step explanation

What are the answers to these 4 questions

Answers

The volume of the shapes are;

1. 228 in³

2. 1140 in³

3. 5.94 ft³

4. 126 yd³

What is volume of shapes?

The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space.

The volume of a cuboid is expressed as;

V = l × b × h

1. Total volume = 14×3× 4 ) + (4× 5× 3)

= 168 + 60

= 228 in³

2. Total volume = 25×4 × 5) + (16×8×5)

= 500 + 640

= 1140 in³

3. Total volume = 0.8 × 1.2 × 1.5 ) + (3 × 1.5 × 1)

= 1.44 + 4.5

= 5.94 ft³

4. Total volume = (4 × 6 × 5 ) + ( 1× 3 × 2)

= 120 + 6

= 126 yd³

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What is the value of 4.7 - 6.2? *

Answers

Answer:

4.7- 6.2 = -1.5

Answer:

-1.5

Step-by-step explanation:

line it up and subtract:

 6.2

- 4.7

- 1.5

i cant show it but make sure to borrow from the 6.

hope this helped :))

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PEOPLE WHO HELP FIRST GETS BRAINLIEST what are some facts about gold given the linear equation c=30+6y where c is the cost of the dictionary y years after 1904. determine the cost of the dictionary in the year 2025 Write the point-slope form of the equation of the line through the given points. 9) through: (0, 1) and (3, 2)10) through: (5, 3) and (0, 3) 11) through: (1, 3) and (1, 1)12) through: (0, 1) and (1, 5) On DEC 31, 2021, the INVESTOR company acquires 30% of Company ASO for 60.One year later, the ASO Company declared 2022 annual net income of 100.On the Consolidated Balance Sheet of INVESTOR on DEC 31, 2022, what is the amount reported as "Investment in Aassociate companies"?A.160.B.118C.90D.60. Assuming no additional investment in ASO by INVESTOR. If a country'sGNP01the following is likely true?A. large numbers of its citizens work abroadB. The country is rich in ore and mineral depositsC. This country is subject to frequent and unpredictable changes in weatherbatters. D. 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Purchases on Decesber ? 48 units a 51 , 3 , eost Purchases on Decesber 14 is wits 9327 , 120 cost Purchases on Deceeber 21 20 units a $32.ee cost Determine the costs assigned to ending imventery when costs are assigned based on the LFFO method. Fruity Berhad a manufacturer of lozenges purchased a new piece of Equipment 1 on 1 April 2013 which was priced at RM200,000 from an equipment manufacturer. Equipment 1 was transported and installed on the same day of purchase. Transportation costs involved amounted to RM1,000, while the insurance against damage for Equipment 1 while being transported to the business premise at Nilam Industrial Park amounted to RM600. Fruity had to pay RM7,400 to the vendor to install Equipment 1 at its premise. Assume that the equipment can be used for 8 years and the salvage value is estimated to be RM10,000. Equipment 2 was bought on 1 February 2014 for RM150,000 to cater for the rapidly growing demand from Fruity's customers. Estimated useful life for Equipment 2 is 10 years from the date of purchase with the estimated salvage value to be 10% of the cost. All payments were made by cheque except for the equipment bought on 1 February 2014 which was partly [paid by cheque of RM50,000 and partly by a loan from Karisma Bank. Fruity uses the straight-line method for calculating depreciation. The depreciation expense to be apportioned on the basis of one month's ownership requires one month's depreciation expense. The company's financial year ends on 31 December each year. Required: Prepare the following: (a) Journal entries to record the acquisition of the assets in 2013 and 2014. (b) Equipment account and accumulated depreciation of equipment account for the year 2013 and 2014. Assume a project has cash flows of $54,300,$18,200,$37,300, and $14,300 for Years 0 to 3 , respectively. What is the profitability index given a required return of 14 percent? Should you accept this project Plz help! Is it right? Question is below! What are the main differences between the values and compliance approaches to managing ethics? Why are each of these approaches important and how can they be used effectively to establish clear ethical standards in an organization? what sport is played during two periods of 45 minutes each, and involves a system of could using red and yellow cards? How does paragraph 1 contribute to the development of the plot in thestory "Excerpt from The Tragically True Adventures of Kit Donovan"?Use two detalls from the story to support your response. HELP ME PLZZ I NEED HELP within in a forest that is near a city that has a few large waste incinerators and other industrial utilities, ecologists investigating long-term changes find decreased biodiversity among species, along with decreased growth and reproductive health. which air pollutant would the ecologists most likely suspect is responsible? lead carbon monoxide ozone particulate matter We are examining a new project. We expect to sell 6,800 units per year at $62 net cash flow apiece for the next 10 years. In other words, the annual operating cash flow is projected to be $62 x 6,800 = $421,600. The relevant discount rate is 16 percent, and the initial investment required is $1,790,000. After the first year, the project can be dismantled and sold for $1,660,000. Suppose you think it is likely that expected sales will be revised upward to 9,800 units if the first year is a success and revised downward to 5,400 units if the first year is not a success. Suppose the scale of the project can be doubled in one year in the sense that twice as many units can be produced and sold. Naturally, expansion would be desirable only if the project were a success. This implies that if the project is a success, projected sales after expansion will be 19,600. Note that abandonment is an option if the project is a failure.a. If success and failure are equally likely, what is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the value of the option to expand? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)