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A community wants to build a transfer station that has a capital cost of $3 million. To pay off the cost with equal annual payments over a 15-year period at an annual interest rate of 6.125%, what is the cost of each annual payment?

A community wants to build a transfer station that has a capital cost of $3 million. To pay off the cost with equal annual payments over a 15-year period at an annual interest rate of 6.125%, what is the cost of each annual payment?

SCIENCE
ENVIRONMENTAL SCIENCE
OSHA ENV 5302

Answer & Explanation

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Answered by MateMuleMaster744

Cost of each annual payment will be $183,750

Step-by-step explanation
A = P {r(1+r)n} / {(1+r)n -1}

where

A = Payment amount per period

P = Initial principal (capital)

r = Interest rate per period

n = Total number of payments or periods

Thus,

A=3,000,000{0.06125(1.0625)15/1.062514

=$183,750

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