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Diano4ka-milaya [45]
3 years ago
15

anice plans to save $75 a month, starting today, for 20 years. Kate plans to save $80 a month for 20 years, starting one month f

rom today. Both Janice and Kate expect to earn an average return of 5.5 percent on their savings. At the end of the 20 years, how much more Kate willhave than Janice
Business
1 answer:
miskamm [114]3 years ago
4 0

Answer:

Kate will have $2,178 more than Janice

Explanation:

The constant saving of $75 and $80 each month is an annuity payment. The Balance at the end of 20 years of a constant payment is the future value of annuity.

n = number of months = 20 x 12 = 240 months

r = Average rate = 5.5% per year = 5.5% / 12 = 0.46%

Future value of annuity = FV = P x ( [ 1 + r ]^n - 1 ) / r

Janice

Saving per month = $75

FV = $75 x ( [ 1 + 5.5%/12 ]^240 - 1 ) / 5.5%/12 = $32,672

Kate

Saving per month = $80

FV = $80 x ( [ 1 + 5.5%/12 ]^240 - 1 ) / 5.5%/12 = 34,850.2

Difference  = $34850.2 - 32,672 = $2,178

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8 0
3 years ago
You are considering investing in a start up project at a cost of $100,000. You expect the project to return $500,000 to you in s
NemiM [27]

Answer:

b.The IRR is equal to 25.85%

Explanation:

Firstly we are given that i consider investing $100000 which will in this problem be our Cinitial which is the initial investment for the project.

Then now given the risk of this project, my cost of capital is 20% so then we will compare this to the IRR and see if i can accept the project or not if the cost of capital is greater than the IRR than its not good to invest on the project but if the cost of capital is less than the IRR then the this will be a good investment as the cost of capital also checks the opportunity cost.

The future payment cash flows which is $500000 so we will use the following formula:

NPV = (cash flow)/(1+IRR)^n     - initial investment

so we find the present value of the cash flow of the investment and subract the initial investment which will give us a zero cause the present value of the cash flow is equal to the initial investment therefore( n is the period of cash flows):

0= $500000/(1+IRR)^7    - $100000 transpose the initial investment and solve for IRR.

$100000(1+IRR)^7= $500000 then divide both sides by $100000

(1+IRR)^7 =  5          then find the 7nth root of both sides to eliminate the exponent of 7

1+ IRR = \sqrt[7]{5}

1+IRR = 1.258498951 then subtract 1 both sides to solve for IRR

IRR = 0.258498... then multiply by 100 as IRR is a percentage

IRR= 25.85 % rounded off to two decimal places which is the answer b

8 0
3 years ago
An automated turning machine is the current constraint at Jordison Corporation. Three products use this constrained resource. Da
Maru [420]

Answer:A. LN, JQ, RQ

Explanation:

To know the current profitability, we need to determine the contribution margin unit  by the minutes on the constraints .

a) For LN  

Contribution by unit =  Selling price per unit- Variable cost per unit

$ 161.88 -$116.12 = $45.76

Contribution by the minutes = Contribution by unit / Minutes on the constraint

= $45.76/ 2.60 = 17.60

B) For JQ

Contribution by unit =  Selling price per unit- Variable cost per unit

$ 350.41 -$279.11 = $71.3

Contribution by the minutes = Contribution by unit / Minutes on the constraint

= $71.3/ 4.60 = 15.50

c) For RQ  

Contribution by unit =  Selling price per unit- Variable cost per unit

$ 446.71 -$338.71 = $108

Contribution by the minutes = Contribution by unit / Minutes on the constraint

= $108/ 7.50 = 14.40

In order of their current profitability from most profitable to least profitable, We have LN with 17.60, next JQ with 15.50 and the least RQ with 14.40  

4 0
4 years ago
The most important fundamental component of an entity's internal control is:
rosijanka [135]

Answer:

b) People who operate and function within the control system.

Explanation:

Internal controls are the process and mechanisms that an organization puts in place to ensure the integrity of its accounting and financial information. Internal control helps a business achieve operational efficiency and effectiveness. It ensures that a company financial reporting complies with the relevant laws, policies, and regulations.

The people working in internal control determines whether the mechanisms will succeed or fail.  Employees assigned in internal control must be of high integrity and be able to discharge their duties without fear or favor.  Internal control protects company resources from theft, wastage, or misuse. For internal control to achieve its purpose, the Individuals in that department must not comprise in any situation.

6 0
3 years ago
"when the number of units produced exceeds the number of units sold, net income under absorption costing will be:"
r-ruslan [8.4K]

Answer:

The answer is that the net income under absorption costing would be higher than the net income under variable costing.

Explanation:

Absorption costing and variable costing are terms used in accounting contexts. Absorption costing, also known as full costing, incurs overhead costs when the product is sold; not before it. Variable costing, also referred to as direct costing, would include overhead costs during the period the costs occurred. In this condition, net income would be higher using absorption since overhead costs would not be included until the product is sold.

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