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vitfil [10]
2 years ago
12

Your child is planning attend summer camp for 3 months, starting 12 months from now. The cost for camp is $2,676 per month, each

month, for the 3 months she will attend. If your investments earn 2.3% APR (compounded monthly), how much must you invest each month, starting next month, for 3 months such that your investment will grow to just cover the cost of the camp
Business
1 answer:
Vinil7 [7]2 years ago
5 0

Answer:

Monthly deposit= $2,625.16

Explanation:

Giving the following information:

Total cost= 2,676*3= $8,028

Monthly interest rate0 0.023/12= 0.00192

<u>First, we need to calculate the nominal value required at the end of the third month:</u>

PV= FV / (1 + i)^n

FV= 8,028

i= 0.00192

n= 9 months

PV= 8,028 / (1.00192^9)

PV= $7,890.6

<u>Now, the monthly investment to reach $7,890.6:</u>

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

A= monthly deposit

Isolating A:

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

A= (7,890.6*0.00192) / [(1.00192^3) - 1]

A= $2,625.16

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Answer:

Sole Mates Inc.

Differential analysis:

                                        Tennis Shoe      Walking Shoe

Unit selling price                      $85                  $100

Unit production costs:

Direct materials                        $19                   $32

Direct labor                                  8                      12

Variable factory overhead          7                       5

Unit variable selling expenses   6                     10

Total variable costs                $40                   $59

Contribution margin per unit $45                   $41            

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Total contribution margin    $315,000         $287,000       $28,000

Advertising costs                  (100,000)          (100,000)                  0

Total income (loss)             ($215,000)          $187,000      $28,000

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Budgeted advertising costs = $100,000

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Unit selling price                      $85                  $100

Unit production costs:

Direct materials                        $19                   $32

Direct labor                                  8                       12

Variable factory overhead          7                        5

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Total unit production costs    $50                  $60

Unit variable selling expenses   6                     10

Unit fixed selling expenses     20                     15

Total unit costs                       $76                 $85

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