1. **Problem 1:** Jenny has a principal amount of 3000 invested at 3.5% simple interest, paid semi-annually. Find the future value after 4.5 years. 2. **Formula for simple interest:** $$A = P(1 + rt)$$ where $A$ is the amount (future value), $P$ is the principal, $r$ is the annual interest rate (as a decimal), and $t$ is the time in years. 3. Since interest is paid semi-annually, the rate per period is half the annual rate, but for simple interest, the rate $r$ remains annual and $t$ is total years. So we use $r=0.035$ and $t=4.5$ years. 4. Substitute values: $$A = 3000 \times (1 + 0.035 \times 4.5)$$ 5. Calculate the interest part: $$0.035 \times 4.5 = 0.1575$$ 6. So: $$A = 3000 \times (1 + 0.1575) = 3000 \times 1.1575$$ 7. Multiply: $$A = 3472.5$$ **Final answer:** Jenny's investment will be worth $3472.5 after 4.5 years.