To purchase \( \$ 11,900 \) worth of machinery for her business, Maya made a down payment of \( \$ 1900 \) and took out a busines (a) What was the total amount Maya ended up paying for the machinery (including the down payment and monthly payments)? After 3 years of paying monthly payments of \( \$ 304.23 \), she finally paid off the loan. (b) How much interest did Maya pay on the loan? \( 5 \square \)

**Step 1. Calculate the monthly payment total.** Maya paid monthly payments of \( \$304.23 \) for 3 years. Since there are 12 months in a year, the number of monthly payments is \[ 3 \times 12 = 36. \] The total amount paid through the monthly payments is \[ 36 \times 304.23 = 10952.28. \] **Step 2. Calculate the total amount paid for the machinery.** In addition to the monthly payments, Maya made a down payment of \( \$1900 \). Therefore, the total amount she paid is \[ 1900 + 10952.28 = 12852.28. \] **Step 3. Determine the interest paid on the loan.** The stated price of the machinery is \( \$11900 \). Since Maya made a down payment of \( \$1900 \), the amount financed (the initial loan principal) is \[ 11900 - 1900 = 10000. \] Maya paid a total of \( \$10952.28 \) on the loan through the monthly payments. The interest on the loan is the difference between what she repaid and the initial loan principal: \[ 10952.28 - 10000 = 952.28. \] **Final Answers:** (a) The total amount Maya paid for the machinery is \( \$12852.28 \). (b) The total interest Maya paid on the loan is \( \$952.28 \).