Pregunta
Watch the video and then answer the question given below. Click here to watch the video. Joaquin pawns his favorite watch for a loan of \( \$ 120 \). After 30 days, he buys his watch back for \( \$ 140 \). What interest of the pawnbroker charge Joaquin? The pawnbroker charged Joaquin \( \% \% \). (Round to the nearest whole number as needed.)
Ask by West Brooks. in the United States
Mar 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The pawnbroker charged Joaquin 17% interest.
Solución
1. Joaquin pawns his watch for a loan of \( \$120 \).
2. After 30 days, he buys the watch back for \( \$140 \).
3. The interest charged by the pawnbroker is the difference between what Joaquin repaid and the original loan:
\[
\text{Interest} = \$140 - \$120 = \$20.
\]
4. To find the interest rate as a percentage, divide the interest by the amount of the loan and then multiply by 100:
\[
\text{Interest Rate} = \left(\frac{20}{120}\right) \times 100\%.
\]
5. Simplify the fraction:
\[
\frac{20}{120} = \frac{1}{6} \approx 0.1667.
\]
6. Multiply by 100 to convert to a percentage:
\[
0.1667 \times 100\% \approx 16.67\%.
\]
7. Rounding \( 16.67\% \) to the nearest whole number gives:
\[
17\%.
\]
Thus, the pawnbroker charged Joaquin \( 17\% \) interest.
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The Deep Dive
To find the interest charged by the pawnbroker, we first calculate the interest paid by Joaquin. He pawned his watch for \( \$ 120 \) and later bought it back for \( \$ 140 \). The interest is the difference: Interest = Buyback Price - Loan Amount Interest = \( 140 - 120 = 20 \) Next, we calculate the interest rate over the 30-day period as a percentage of the loan amount: Interest Rate = (Interest / Loan Amount) × 100 Interest Rate = (20 / 120) × 100 ≈ 16.67\% Rounded to the nearest whole number, the pawnbroker charged Joaquin \( 17\% \).

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