Subjects finance

Simple Interest 1B7Fbc

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1. **State the problem:** Parker invested a principal of $3200 at 2.8% simple interest, paid annually for 4 years. We need to find the rate of return (future value) of his investment. 2. **Formula used:** The formula for simple interest is: $$A = P(1 + rt)$$ where: - $A$ is the amount (future value), - $P$ is the principal, - $r$ is the interest rate per year (in decimal), - $t$ is the time in years. 3. **Given values:** - $P = 3200$ - $r = 0.028$ (2.8% as decimal) - $t = 4$ 4. **Calculate the amount $A$:** $$A = 3200 \times (1 + 0.028 \times 4)$$ 5. **Simplify inside the parentheses:** $$1 + 0.028 \times 4 = 1 + 0.112 = 1.112$$ 6. **Calculate $A$:** $$A = 3200 \times 1.112 = 3558.4$$ 7. **Interpretation:** The rate of return (future value) of Parker's investment after 4 years is $3558.4$. **Final answer:** $$\boxed{3558.4}$$