Let's calculate the value of \( S \) given by the formula:

\[
S = 5500 \times (1.0075)^{90}
\]

First, we need to calculate \( (1.0075)^{90} \), and then multiply the result by 5500.

Let me do the calculation for you.

\[
(1.0075)^{90} \approx 1.8397
\]

Now, multiply by 5500:

\[
S = 5500 \times 1.8397 \approx 10118.35
\]

So, the value of \( S \) is approximately **10,118.35**.

Would you like more details or have any questions?

Here are some related questions:
1. What is the significance of the base number \(1.0075\) in this context?
2. How does the exponent \(90\) affect the calculation?
3. What if the base was slightly different, say \(1.008\)? How would that change \(S\)?
4. Can you explain the general form of this formula?
5. What could be a real-world application of this calculation?

**Tip:** Exponential growth can lead to surprisingly large numbers even with small growth rates, especially over many periods.

Understand and calculate exponential growth using the formula S = 5500 * (1.0075)^90. Explore the significance of the base number 1.0075 and how the exponent 90 affects the calculation. Learn about real-world applications of exponential growth.

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