 Find S: 
S = 3,000(1 + 0.02)36.
 (Round your answer to two decimal places.)
S = $

To solve for $ S $ in the expression:

\[
S = 3000(1 + 0.02)^{36}
\]

we'll break it down step-by-step.

1. **Calculate the term inside the parentheses**:
   \[
   1 + 0.02 = 1.02
   \]

2. **Raise $ 1.02 $ to the power of 36**:
   \[
   1.02^{36} \approx 2.03989
   \]

3. **Multiply by 3000**:
   \[
   S = 3000 \times 2.03989 \approx 6119.67
   \]

So, rounded to two decimal places:

\[
S = 6119.67
\]

**Answer**: $ S = 6119.67 $

Would you like further details on exponential functions or how compound interest calculations work?

---

1. What is the formula for compound interest, and how does it apply here?
2. How would the answer change if the interest rate were different?
3. What is the effect of compounding for a longer period?
4. Can the exponential growth formula apply to non-financial calculations?
5. How would you calculate the amount if compounding were continuous?

**Tip:** In exponential calculations, double-check by recalculating powers separately to catch rounding discrepancies.

Find S: S = 3,000(1 + 0.02)^36. (Round your answer to two decimal places.)

Learn how to calculate exponential growth with the formula S = 3000(1 + 0.02)^36. This solution covers compound interest concepts and the exponential growth formula, offering a detailed step-by-step approach suitable for students in Grades 10-12.

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