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 annual interest rate, and $t$ is the time in years. 2. **Identify given values:** - Principal $P = 5000$ - Rate $r = 9\% = 0.09$ - Time $t = 2$ quarters. Since 1 year = 4 quarters, $t = \frac{2}{4} = 0.5$ years. 3. **Substitute values into the formula:** $$A = 5000 \times (1 + 0.09 \times 0.5)$$ 4. **Calculate the interest part:** $$0.09 \times 0.5 = 0.045$$ 5. **Add 1 to the interest:** $$1 + 0.045 = 1.045$$ 6. **Multiply by principal:** $$A = 5000 \times 1.045$$ 7. **Final calculation:** $$A = 5225$$ **Answer:** The amount $A$ after 2 quarters is **5225**.