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grin007 [14]
4 years ago
13

M. Fields, Inc. wishes to accumulate $1,000,000 to be used to pay off a loan at the end of 10 years. How much will M. Fields dep

osit each year for 10 years, beginning at the end of the first year, to accumulate the desired amount if the investment earns an annual rate of 12%?
Business
1 answer:
sveticcg [70]4 years ago
4 0

Answer:

c) $56,984

Explanation:

First, kindly find attached the completion of the question including the multiple choices below

Round your answer to the nearest dollar.

Select the appropriate factor for your calculation:

Future Value of $1: 3.10585

Future Value of an Annuity of an Ordinary Annuity: 17.54874

a) 45,586  b) $33,334  c) $56,984  d)$26,432

Solution

First, we pull out important information as follows

The future value of the accumulation is $1,000,000, therefore, the future value of the ordinary annuity (17.54874) will be used.

Secondly,we now need to calculate the amount to be invested now, to bring an accumulation of $1,000,000, which we call x

The future value= x ( Future Value of an Annuity of an Ordinary Annuity)

= 1,000,000 = x (17.54874)

= $1,000,000 = 17.54874x

x= $1,000,000 / 17.54874

The amount to invest = $56,984

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Part 1

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Part 2

Job 141 = $16,383  ,Job 142 = $32,766 , and Job 143 = $17,399

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Labor Cost per hour = Total Cost ÷ Total hours

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<em>Less </em>Labor Cost (258 hours × $45.00)       =  $11,610

Overheads allocated to Job 141                 = $21,156

<em>Then,</em>

Overhead allocation rate =  $21,156 ÷ 258

                                          = $82 per professional labor hour

<u>Total Costs</u>

                                          Job 140         Job 141            Job 142

Direct Labor                        $5,805         $11,610              $6,165

Overheads                         $10,578         $21,156            $11,234

Total Cost                           $16,383       $32,766           $17,399

<u>Cost of Goods Sold</u>

Note : Only Finished Jobs are accounted in this figure

Total Cost of Job 140      $16,383

Total Cost of Job 141       $32,766

Cost of Goods Sold         $49,149

<u>Work In Process Inventory</u>

Note : Only Incomplete Jobs are accounted in this figure

Total Cost of Job 142       $17,399

<u>Application of Overheads</u>

Actual Overheads (given)                                  = $53,448

Applied Overheads ($82 ×  ( 129 + 258 + 137)) = $42,968

Actual Overheads > Applied Overheads therefore we have an Under-applied situation.

Overheads Under- applied = $10,480 ($53,448 - $42,968)

<u>Reasonable Overhead Rate.</u>

Rate that does not produce variances is reasonable !

Reasonable Overhead Rate. = Actual Overheads ÷ Total Professional Hours

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