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A town wishes to build a new school that will cost $15,000,000. The school is to be built in 10 years. The town will provide funding for the new school by depositing a uniform amount into an investment fund paying 5% per year, compounded annually. How much must be set aside in each of the 10 years to provide for the new school?

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facundobuzzetti

Answer:

Annual deposit= $1,192,568.62

Explanation:

Giving the following formula:

Future Value= $15,000,000

Number of periods= 10 years

Interest rate= 5% compounded annually

To calculate the annual deposit, we need to use the following formula:

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

A= annual deposit

Isolating A:

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

A= (15,000,000*0.05) / [(1.05^10) - 1]

A= $1,192,568.62

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