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Zina [86]
3 years ago
5

You would like to establish a trust fund that would pay annual payments to your heirs of $100,000 a year forever. You expect the

trust fund to earn an average return of 6.5 percent. How much do you need to deposit into this trust fund today to achieve your goal? Group of answer choices
Business
1 answer:
Andrej [43]3 years ago
5 0

Answer:

The amount to deposited = $1,538,461.54

Explanation:

<em>A fund that pays a fixed amount for forever is an example of a perpetuity. Hence, the amount to be deposited today is the present value of the perpetuity.</em>

This given below as follows:

PV = A ×   1/r

PV - present value of perpetuity

r- Interest rate = 6.5%. A- annual cash flow - 100,000

PV = 100,000 ×  1/0.065=  1,538,461.54  

The amount to deposited = $1,538,461.54  

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11. If 8,000 units are produced, what is the total amount of manufacturing overhead cost incurred to support this level of produ
Delvig [45]

This question is incomplete, the complete question is;

Martinez company's relevant range production is 7,500 units to 12,500 units. When it produces and sells 10,000 units, its average costs per unit are as follows:-

                                                                 Average cost per unit

Direct materials                                                 $7.00

Direct labor                                                        $4.50

Variable manufacturing overhead                   $1.40

Fixed manufacturing overhead                        $4.00

Fixed selling expense                                       $4.00

Fixed administrative expense                          $2.10

Sales commissions                                            $1.10

Variable administrative expense                      $0.55

If 8,000 units are produced,

a) what is the total amount of manufacturing overhead cost incurred to support this level of production

b) What is this total amount expressed on a per unit basis

Answer:

a) the total amount of manufacturing overhead cost incurred to support this level of production is $51,200

b) What is this total amount expressed on a per unit basis is $6.40

Explanation:

a)

Given that;

number of units produced is 8,000 units

Variable manufacturing overhead is $1.40

Variable manufacturing overhead cost will be units produced / Variable manufacturing overhead

so Variable manufacturing overhead cost = 8000 units × $1.40 =  $11,200

Now  Fixed manufacturing overhead cost = 10000 units × $4 = $ 40,000

Total manufacturing overhead cost is the addition of Variable manufacturing overhead cost and Fixed manufacturing overhead cost

$11,200 + $40,000 = $51,200

b)

Number of units produced = 8,000

therefore Manufacturing overhead per unit = Total manufacturing overhead cost / Number of units produced

51,200 / 8,000 = $6.40

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Mr. Wise is retiring In 25 years He would like to accumulate $1,000.000 for his retirement fund by then He plans make equal mont
Montano1993 [528]

Answer:

$532.24

Explanation:

Since Mr. Wise will be making monthly payments for the period of 25 years in order to accumulated the $1,000,000 at the end of 25 years, therefore, the future value of annuity shall be used to determine the monthly payments to be deposited by Mr Wise. The formula of future value of annuity is given as follows:

Future value of annuity=R[((1+i)^n-1)/i]

In the given scenario:

Future value of annuity=amount after 25 years=$1,000.000

R=monthly payments to be deposited by Mr Wise=?

i=interest rate per month=12/12=1%

n=number of payments involved=25*12=300

$1,000,000=R[((1+1%)^300-1)/1%]

R=$532.24

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Answer:

answer is a

Explanation:

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