1. **State the problem:** Marcia’s credit card charges 24.00% annual interest compounded daily. She bought an item for 568.93 and did not pay by the due date March 10. We need to find how much she owes on April 2 if no other purchases are made. 2. **Formula used:** The daily interest rate is calculated by dividing the annual rate by 365 days. $$ r = \frac{24.00}{100 \times 365} = \frac{0.24}{365} $$ The amount owed after $t$ days with daily compounding interest is: $$ A = P \times (1 + r)^t $$ where $P$ is the principal, $r$ is the daily interest rate, and $t$ is the number of days interest is applied. 3. **Calculate the number of days from March 10 to April 2:** March 10 to March 31 = 21 days April 1 to April 2 = 2 days Total $t = 21 + 2 = 23$ days 4. **Calculate the daily interest rate:** $$ r = \frac{0.24}{365} \approx 0.0006575 $$ 5. **Calculate the amount owed:** $$ A = 568.93 \times (1 + 0.0006575)^{23} $$ 6. **Calculate the growth factor:** $$ (1 + 0.0006575)^{23} = (1.0006575)^{23} $$ Using approximation or calculator: $$ (1.0006575)^{23} \approx 1.0152 $$ 7. **Calculate final amount:** $$ A = 568.93 \times 1.0152 = 577.53 $$ **Answer:** Marcia will owe approximately **577.53** on April 2 if she makes no other purchases.