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.