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arlik [135]
3 years ago
10

The overhead costs in a highly automated factory are expected to increase at an annual compound rate of 10 percent for the next

7 years. The overhead cost at the end of the fi rst year is $200,000. What is the annual worth of the overhead costs for the 7-year period? The time value of money rate is 8 percent/year.
Business
2 answers:
Rzqust [24]3 years ago
8 0

Answer:

The annual worth of the overhead costs for 7 year-period is

A = $389743.42.

<em>Then the time value of the annual worth is discounted by 8%</em>

∴  $389743.42 x 0.08 = $31179.47.

Explanation:

Using the formula

A = P(1 + r/n){nt}

Where:

A = ?

t = 7

P = $200,000.00

r = 10%

n= 1

TVM =8%

∴ A = $200,000.00(1 + 0.10/1){1 * 7}

A = $200,000.00(1.10){7}

A = $200,000.00(1.9487171)

A = $389743.42

<em>Then the time value of the annual worth is discounted by 8%</em>

∴  $389743.42 x 0.08 = $31179.47

Viefleur [7K]3 years ago
5 0

Answer:

<em>The annual worth of the overhead costs for 7 year-period is given as = $389743.42. </em>

<em> The time value of the annual worth is discounted by 8% is given as $389743.42 x 0.08 = $31179.47. </em>

Explanation:

<em>Let’s recall from the formula, </em>

<em>Given as A = P(1 + r/n)nt </em>

<em>Where A= not known</em>

<em>t = 7, time frame for a 7-year period  </em>

<em>P = $200,000.00 </em>

<em>r is the rate = 10% </em>

<em>n= 1 </em>

<em>TVM is the time value of money rate =8% </em>

<em>Then  </em>

<em> A = $200,000.00 (1 + 0.10/1) 1x7 </em>

<em> A = $200,000.00(1.10) 7 </em>

<em>A = $200,000.00(1.9487171) </em>

<em>A = $389743.42 </em>

<em> Finding the time value of the annual worth is </em>

<em> 389743.42 x 0.08 = $31179.47 </em>

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