Calculate what the $3,000-per-year deficit, had it been invested, would have amounted to at the end of the 15-year period.

To calculate the amount that a \$3,000-per-year deficit, if invested, would amount to at the end of 15 years, we can use the **future value of an annuity formula**. The formula is:

\[
FV = P \times \frac{(1 + r)^n - 1}{r}
\]

Where:
- $ FV $ is the future value (what we want to find).
- $ P $ is the annual payment (in this case, \$3,000).
- $ r $ is the annual interest rate (we'll need this from you to proceed).
- $ n $ is the number of years (in this case, 15).

### Steps:
1. We need to know the **annual interest rate** or return on investment. Could you provide this value?
2. Once we have that, we can plug it into the formula to get the future value of the deficit.

Would you like to proceed with a specific interest rate?

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### Related Questions:
1. What is the impact of different interest rates on the final future value?
2. How does the number of years affect the growth of the investment?
3. What is the difference between a lump-sum investment and an annual payment investment like this one?
4. How would inflation affect the purchasing power of the future value?
5. What happens if you withdraw part of the investment before the 15 years?

**Tip:** Regularly reviewing and adjusting investment strategies can significantly impact future value.

Learn how to calculate the future value of a $3,000 annual investment over a 15-year period using the future value of annuity formula. This guide includes key mathematical concepts like compound interest and provides a step-by-step explanation. Suitable for Grades 10-12.

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