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gulaghasi [49]
2 years ago
8

You want $1,000,000 when you retire in 40 years. You decided to save some money every year next 40 years for your retirement. Yo

u are going to open Roth IRA and invest everything in Vanguard S&P 500 Funds that expect to earn 6 percent annually. If your contribution starts a year from today, how much must you contribute every year next 40 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
You are starting your new career today after graduating. You decided to contribute $500 a month into a fund that is expected to earn 6 percent, compounded monthly. If you start the contribution a month from today for 30 years, how much will you have right after you contribute the last $500 in 30 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
Business
1 answer:
Lemur [1.5K]2 years ago
3 0

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

A) You want $1,000,000 when you retire in 40 years. It earns 6 percent annually.

We need to use the following version of the final value formula:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

FV= 1,000,000

n=40

i=0.06

A= (1,000,000*0.06) / [(1.06^40)-1]

A= $6,461.53

B) You decided to contribute $500 a month into a fund that is expected to earn 6 percent, compounded monthly. If you start the contribution a month from today for 30 years.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

n= 30*12= 360

i= 0.06/12= 0.005

A= 500

FV= {500*[(1.005^360)-1]}/0.005= $502,257.52

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Katena32 [7]

Answer:

b. 1,2,3,4

Explanation:

Lets first understand what relevant cost is? Relevant cost is any cost that influences the decision of a decision maker. Therefore, the first four items are relevant in the decision of whether to sell the X-547 or to further process it.

Explanation for each item is as follows:

1- Selling price of X-547:

The selling price is relevant because it will help to determine the revenue generated from selling X-547 at the split off point and which could also be used for comparative purposes, if suppose the decision of further processing is chosen.

2- Variable cost of processing X-547 into Xylene:

The variable cost of processing X-547 is indeed relevant too, because at this stage management is not in a position to take a decision until they explore the possibilities coming out of processing X-547, therefore, in order to come to a decision making position the management will need to know the variable cost of processing X-547, making it relevant in the decision.

3- The avoidable fixed costs of processing X-547 into Xylene:

There is sometimes a fear (i.e fear of increase in step-fixed costs as a result of processing a product or fear of loss of control over costs) felt by the management when trying to process certain products for further development therefore those fixed costs which can be avoided during processing X-547 can also influence (i.e encourage) the decision of further processing X-547, making it relevant.

4- The selling price of Xylene:

The last but not the least, the selling price of Xylene. If the management finds that if X-547 is further processed into Xylene and it sells at a highly favorable/lucrative price, creating a huge margin for them then definitely they would be encouraged to taking the decision of further processing it.

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Answer:

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