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:**
$$\boxed{3558.4}$$
Simple Interest 1B7Fbc
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