Pregunta
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Suppose you see a car with an advertised price of \( \$ 14,100 \) at \( \$ 410.83 \) per month for 4 years. What is the amount of interest paid? (Round your answer to the nearest cent.) \( \$ \)

Ask by Huang Luna. in the United States
Feb 26,2025

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The interest paid is \$5,619.84.

Solución

To find the amount of interest paid, first calculate the total amount paid over the term of the loan and then subtract the advertised price (which acts as the principal). Step 1: Find the total amount paid. The monthly payment is $410.83, and the term is 4 years. Since there are 12 months per year:   Total amount paid = $410.83 × (4 years × 12 months/year)     Total amount paid = $410.83 × 48     Total amount paid = $19,719.84 Step 2: Calculate the interest paid. Subtract the principal (advertised price) from the total amount paid:   Interest paid = Total amount paid − Advertised price     Interest paid = $19,719.84 − $14,100     Interest paid = $5,619.84 Thus, the amount of interest paid is $5,619.84.

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Beyond the Answer

To find the amount of interest paid, first calculate the total amount paid over the 4-year period. You multiply the monthly payment by the number of payments: \[ \text{Total Payments} = 410.83 \times 12 \times 4 = 410.83 \times 48 = 19,705.84 \] Next, subtract the advertised price of the car from the total payments to find the interest paid: \[ \text{Interest Paid} = \text{Total Payments} - \text{Advertised Price} = 19,705.84 - 14,100 = 5,605.84 \] Thus, the amount of interest paid is \( \text{\$} 5,605.84 \).

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