Travis Thompson uses his credit card to obtain a cash advance of \( \$ 600 \) to pay for his textbooks in medical school. The interest rate charged for the loan is \( 0.04926 \% \) per day. Travis repays the money plus the interest after 20 days. a) Determine the interest charged for the cash advance. b) When he repaid the loan, how much did he pay the credit card company? Interest charged \( \approx \$ \square \) (Round to the nearest tent.)
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Beyond the Answer
To determine the interest charged for the cash advance, we can use the formula for simple interest: \[ \text{Interest} = \text{Principal} \times \text{Rate} \times \text{Time} \] where the principal is \( \$ 600 \), the rate is \( 0.04926\% \) per day (which is \( 0.0004926 \) in decimal), and the time is 20 days. Calculating the interest: \[ \text{Interest} = 600 \times 0.0004926 \times 20 \approx 5.9112 \] Rounding to the nearest tent: **Interest charged \( \approx \$ 5.9 \)** To find out how much Travis paid back in total, we simply add the principal to the interest: \[ \text{Total Payment} = \text{Principal} + \text{Interest} = 600 + 5.9112 \approx 605.9112 \] Rounding to the nearest tent, Travis paid back: **Total amount paid \( \approx \$ 605.9 \)**
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