To solve the expression \( 149,000 \times (1 + 0.0162)^5 \), follow these steps:

1. First, calculate the value inside the parentheses:
\[
1 + 0.0162 = 1.0162
\]

2. Now, raise \( 1.0162 \) to the power of 5:
\[
1.0162^5 \approx 1.084
\]

3. Multiply the result by 149,000:
\[
149,000 \times 1.084 = 161,516
\]

So, \( 149,000 \times (1 + 0.0162)^5 \approx 161,516 \).

Would you like more details on any step or have any questions?

Here are 5 related questions:
1. How does the compound interest formula relate to this calculation?
2. What is the importance of the exponent in growth formulas?
3. How do we approximate powers of decimals like 1.0162?
4. Can we use logarithms to reverse this operation?
5. How would increasing the interest rate affect the final result?

**Tip:** When dealing with exponents, always perform the operations inside parentheses first before applying the power.

Explore the step-by-step solution for the exponential growth problem: 149,000×(1+0.0162)^5. Learn how to apply the compound interest formula to calculate the final amount after five years with an interest rate of 1.62%. Suitable for Grades 10-12.

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