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4-55 A firm expects to install smog control equipment on the exhaust of a gasoline engine. The local smog control district has agreed to pay to the firm a lump sum of money to provide for the first cost of the equipment and maintenance during its 10-year useful life. At the end of 10 years the equipment, which initially cost $10,000, is valueless. The firm and the smog control district have agreed that the following are reasonable estimates of the end-of-year maintenance costs: Year 1 2 3 4 5 $75 100 125 150 175 Year 6 7 8 9 10 $200 225 250 275 300 Assuming interest at 6% per year, how much should the smog control district pay to the firm now to provide for the first cost of the equipment and its maintenance for 10 years

Sagot :

Answer:

the  amount that should be paid is $11,292

Explanation:

The computation of the amount that should be paid is shown below:

Present worth is

= $10,000 + $75(P/A, 6%, 10) + $25(P/G, 6%, 10)

= $10,000 + $75 × 7.3601 + $25 × 29.6023

= $11,292

Hence, the  amount that should be paid is $11,292

We simply applied the above calculation

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