1. **State the problem:** We have an account with an initial principal of $2000$ that earns simple interest at a rate of 4% per year. We want to find the total amount in the account after 4 years if no other deposits or withdrawals are made.
2. **Formula for simple interest:** The total amount $A$ after $t$ years with simple interest is given by:
$$A = P(1 + rt)$$
where:
- $P$ is the principal (initial amount),
- $r$ is the annual interest rate (in decimal),
- $t$ is the time in years.
3. **Convert the interest rate:** 4% as a decimal is $r = 0.04$.
4. **Plug in the values:**
$$A = 2000(1 + 0.04 \times 4)$$
5. **Calculate inside the parentheses:**
$$1 + 0.04 \times 4 = 1 + 0.16 = 1.16$$
6. **Multiply to find the total amount:**
$$A = 2000 \times 1.16 = 2320$$
7. **Answer:** After 4 years, the account will have $2320$ dollars.
Simple Interest D647Fc
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