1. **State the problem:** A customer deposits 24000 in an account with an 8% per annum compound interest rate. We need to find the total amount in the account after 2 years.
2. **Formula used:** The compound interest formula is $$A = P \left(1 + \frac{r}{100}\right)^n$$ where:
- $A$ is the amount after $n$ years
- $P$ is the principal amount (initial deposit)
- $r$ is the annual interest rate (in %)
- $n$ is the number of years
3. **Substitute the values:**
$$A = 24000 \left(1 + \frac{8}{100}\right)^2$$
4. **Simplify inside the parentheses:**
$$A = 24000 \left(1 + 0.08\right)^2 = 24000 \times 1.08^2$$
5. **Calculate the power:**
$$1.08^2 = 1.08 \times 1.08 = 1.1664$$
6. **Calculate the total amount:**
$$A = 24000 \times 1.1664 = 27993.6$$
7. **Final answer:** The total amount in the account at the end of 2 years is **27993.6**.
Compound Interest 752632
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