Questions: Choose the correct answer. Stacy Smith has a 50,000 loan. She paid 250 for a credit report, 300 for attorneys, 250 for appraisal fees, and 5,268 in total interest for the first year. If the APR is the finance charge (interest plus fees) for one year divided by amount financed, what was the APR for that year?

Choose the correct answer. Stacy Smith has a 50,000 loan. She paid 250 for a credit report, 300 for attorneys, 250 for appraisal fees, and 5,268 in total interest for the first year. If the APR is the finance charge (interest plus fees) for one year divided by amount financed, what was the APR for that year?
Transcript text: Choose the correct answer. Stacy Smith has a $50,000 loan. She paid $250 for a credit report, $300 for attorneys, $250 for appraisal fees, and $5,268 in total interest for the first year. If the APR is the finance charge (interest plus fees) for one year $\div$ amount financed, what was the APR for that year?
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Solution

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Solution Steps

Step 1: Identify the total finance charges

Stacy Smith paid the following fees:

  • $250 for a credit report
  • $300 for attorneys
  • $250 for appraisal fees
  • $5,268 in total interest for the first year

Total finance charges = $250 + $300 + $250 + $5,268 = $6,068

Step 2: Determine the loan amount

The loan amount is $50,000.

Step 3: Calculate the APR

The APR is calculated using the formula: \[ \text{APR} = \left( \frac{\text{Total Finance Charges}}{\text{Loan Amount}} \right) \times 100 \]

Substitute the values: \[ \text{APR} = \left( \frac{6,068}{50,000} \right) \times 100 = 12.136\% \]

Final Answer

The APR for that year is approximately 12.1%.

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