Problem

Calculate the future value. (Round your answer to two decimal places.)
P=$23,000,r=7% compounded monthly, t=7 years 
$

Answer

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Answer

$37,489.86 is the future value of the investment.

Steps

Step 1 :Given that the principal amount (P) is $23,000, the annual interest rate (r) is 7% or 0.07, the interest is compounded monthly which means 12 times a year (n=12), and the time the money is invested for (t) is 7 years.

Step 2 :The future value of an investment can be calculated using the formula: FV=P(1+r/n)nt

Step 3 :Substitute the given values into the formula: FV=23000(1+0.07/12)127

Step 4 :After calculating, we find that the future value of the investment is approximately $37,489.86

Step 5 :$37,489.86 is the future value of the investment.

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