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To calculate the amount to be paid back on a loan with compound interest, we can use the formula:
A = P (1 + r)^n
Where:
A = Amount to be paid back
P = Principal amount (loan amount) = $20,000
r = Annual interest rate = 12% = 0.12
n = Number of years = 5
By substituting the given values into the formula, we can calculate the amount to be paid back after 5 years:
A = $20,000 (1 + 0.12)^5 = $20,000 (1.12)^5 = $20,000 * 1.7623 = $35,246.83
Therefore, the correct response is $35,246.83.