1. **Problem Statement:** Calculate the amount of $350 invested at 6% interest compounded annually after 1 year.
2. **Formula:** The compound interest formula is $$A = P \left(1 + \frac{r}{n}\right)^{nt}$$ where:
- $A$ is the amount after time $t$,
- $P$ is the principal (initial investment),
- $r$ is the annual interest rate (decimal),
- $n$ is the number of times interest is compounded per year,
- $t$ is the number of years.
3. **Given:**
- $P = 350$
- $r = 0.06$
- $n = 1$ (compounded annually)
- $t = 1$
4. **Calculation:**
$$A = 350 \left(1 + \frac{0.06}{1}\right)^{1 \times 1} = 350 \times (1 + 0.06)^1 = 350 \times 1.06$$
5. **Intermediate step with cancellation:**
$$A = 350 \times \cancel{1.06} = 371$$
6. **Final amount:**
$$A = 371$$
So, the amount after 1 year compounded annually is **371** (rounded to the nearest cent).
Compound Interest Annual 05E1F0
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