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natta225 [31]
4 years ago
15

John Jamison wants to accumulate $62,154 for a down payment on a small business. He will invest $34,000 today in a bank account

paying 9% interest compounded annually. Approximately how long will it take John to reach his goal? (Do not round intermediate calculations. Round your final answers to nearest whole dollar amount.)
Business
1 answer:
FromTheMoon [43]4 years ago
8 0

Answer:

It will take him 7 years.

Explanation:

Hi! We need to calculate the amount of time that it requires an investment of $34000 to reach $62154 at an interest rate of 9% annually.

By using the formula of Present Value we can isolate n:

The formula is:

PV=Ct/[(1+r)^n]

Ct= cash flow at t time

r= rate

n= period of time

To calculate how many years, we need to isolate n from the PV formula:

n=[ln(Ct/PV)]/ln(1+r)

n=ln(62154 /34000 )/ln(1+0,09)

n=7

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MCO Leather manufactures leather purses . Each purse requires 2 pounds of direct materials at a cost of $ 5 per pound and 0.7 di
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Answer:

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1. Direct Materials Budget

                                    September  October

Materials requirement   9,778       13,000

Ending inventory           3,900         3,780

Materials available       13,678        16,780      

Beginning inventory     4,280         3,900

Purchases  (pounds)    9,398        12,880

Cost of purchases  $46,990     $64,400

2. Direct labor budgets for September and October:

                                    September  October

Units to be produced   4,889         6,500

Direct labor hours        3,422         4,550

Direct labor costs     $41,064    $54,600

3. Factory Overhead Budgets for September and October:

                                    September  October

Units to be produced   4,889         6,500

Variable overhead     $6,845        $9,100

Fixed overhead          13,000        13,000

Total overhead         $19,845     $22,100

Explanation:

a) Data and Calculations:

Direct materials required per purse = 2 pounds

Cost of a pound of direct materials = $5

Direct materials cost per unit = $10 ($5 * 2)

Direct labor cost per unit = $8.40 (0.7 * $12)

Variable overhead = $2 per direct labor hour

Variable overhead per unit = $1.40 ($2 * 0.7)

Fixed manufacturing overhead per month = $13,000

Desired ending inventory of direct materials = 30% required the next month

August ending direct materials inventory = 4,280 pounds

Production Budget   September  October  November

Units to be produced   4,889         6,500        6,300

Materials requirement 9,778        13,000       12,600

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                                  September  October  November

Materials requirement   9,778       13,000       12,600

Ending inventory           3,900         3,780

Materials available       13,678        16,780      

Beginning inventory     4,280         3,900         3,780

Purchases  (pounds)    9,398        12,880

Cost of purchases  $46,990     $64,400

2. Direct labor budgets for September and October:

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Units to be produced   4,889         6,500        6,300

Direct labor hours        3,422         4,550         4,410

Direct labor costs     $41,064    $54,600   $52,920

3. Factory Overhead Budgets for September and October:

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Units to be produced   4,889         6,500        6,300

Variable overhead     $6,845        $9,100     $8,820

Fixed overhead          13,000        13,000      13,000

Total overhead         $19,845     $22,100    $21,820

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