1. **State the problem:** Zara borrows 2500 at an annual compound interest rate of 4.5% and repays after 3 years. We need to find the total amount she must pay.
2. **Formula for compound interest:**
$$A = P \left(1 + \frac{r}{100}\right)^t$$
where $A$ is the amount to be paid, $P$ is the principal, $r$ is the annual interest rate, and $t$ is the time in years.
3. **Substitute the values:**
$$P = 2500, \quad r = 4.5, \quad t = 3$$
4. **Calculate the amount:**
$$A = 2500 \left(1 + \frac{4.5}{100}\right)^3 = 2500 \left(1 + 0.045\right)^3 = 2500 \times 1.045^3$$
5. **Evaluate $1.045^3$:**
$$1.045^3 = 1.045 \times 1.045 \times 1.045 = 1.139665125$$
6. **Multiply by principal:**
$$A = 2500 \times 1.139665125 = 2849.1628125$$
7. **Round to nearest cent:**
$$A \approx 2849.16$$
**Final answer:** Zara must pay $2849.16 after 3 years.
Compound Interest Bf8676
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