Problem

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

Solution

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: \(FV = 23000 * (1 + 0.07/12)^{12*7}\)

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

Step 5 :\(\boxed{\$37,489.86}\) is the future value of the investment.

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Source: https://solvelyapp.com/problems/3jLPiD5GX1/

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