1. **State the problem:** We need to find the amount $A$ using the formula for simple interest: $$A = P(1 + rt)$$ where $P$ is the principal, $r$ is the interest rate per year, and $t$ is the time in years. 2. **Given values:** - Principal $P = 3600$ - Rate $r = 11\% = 0.11$ - Time $t = 3$ quarters. Since 1 year = 4 quarters, $t = \frac{3}{4} = 0.75$ years. 3. **Substitute values into the formula:** $$A = 3600 \times (1 + 0.11 \times 0.75)$$ 4. **Calculate the interest part:** $$0.11 \times 0.75 = 0.0825$$ 5. **Add 1 to the interest:** $$1 + 0.0825 = 1.0825$$ 6. **Multiply by the principal:** $$A = 3600 \times 1.0825$$ 7. **Calculate the final amount:** $$A = 3897$$ **Final answer:** $$A = 3897$$