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This is a problem about calculating the future value of an annuity, where regular deposits are made at a fixed interest rate over a period of time.

The formula to calculate the future value $ FV $ of an annuity is:

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

Where:
- $ P $ is the regular deposit.
- $ r $ is the interest rate per period (in decimal form).
- $ n $ is the total number of periods.

Given:
- Regular deposit $ P = 1450 $
- Interest rate $ r = 3.65\% = 0.0365 $ per year
- Frequency: annually (1 deposit per year)
- Time: 15 years

Let me calculate the future value of this annuity.The future value of the annuity after 15 years, given the regular deposit of $1,450 at an annual interest rate of 3.65%, is **$28,291**.

Would you like more details or have any questions about the calculation?

Here are five related questions you might consider:
1. How does increasing the interest rate affect the future value of the annuity?
2. What happens if the deposits are made monthly instead of annually?
3. How would the future value change if the time period was extended to 20 years?
4. What is the difference between the present value and future value of an annuity?
5. How would the calculation differ if it was a simple interest scenario instead of compound interest?

**Tip:** Regularly increasing the frequency of contributions or the deposit amount can significantly impact the future value due to the power of compounding!

A periodic deposit is made into an annuity with the given terms. Find how much the annuity will hold at the end of the specified amount of time. Round your answer to the nearest dollar. Regular deposit: $1450, Interest rate: 3.65%, Frequency: annually, Time: 15 years.

Calculate the future value of an annuity with a $1450 annual deposit, 3.65% interest, and a 15-year term. This problem involves key financial concepts such as compound interest and annuities, and uses the future value of annuity formula. Suitable for high school students in Grades 10-12.

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