Question 12, 10.2.25 HW Seore: \( 76.19 \% \). 16 of 21 points Points: 0 of 1 Save A man uses a loan program for small businesses to obtain a loan to help expand his vending machine business. The man borrows \( \$ 21,000 \) for 2 years with a simple interest rate of \( 1.7 \% \). Determine the amount of money the man must repay after 2 years. The man must repay \( \$ \square \).
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To determine how much the man must repay after 2 years, we can use the formula for simple interest, which is: \[ \text{Interest} = P \times r \times t \] where \( P \) is the principal amount (the initial loan), \( r \) is the interest rate (in decimal), and \( t \) is the time in years. Here, \( P = 21,000 \), \( r = 0.017 \) (which is 1.7% expressed as a decimal), and \( t = 2 \) years. Plugging in the values, we get: \[ \text{Interest} = 21,000 \times 0.017 \times 2 = 714 \] Now, to find the total amount he must repay, we add the interest to the principal: \[ \text{Total Repayment} = P + \text{Interest} = 21,000 + 714 = 21,714 \] Therefore, the man must repay \( \$21,714 \).