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To solve the problem, we need to find the value of the annuity after 10 years given:

- Amount of deposit $ m = 5000 $
- Compounding frequency $ n = 1 $ (since the deposits are made annually)
- Interest rate $ r = 4\% $ (or $ 0.04 $ as a decimal)
- Time $ t = 10 $ years

The formula to calculate the future value of an annuity compounded periodically is:

\[
A = m \times \frac{(1 + \frac{r}{n})^{nt} - 1}{\frac{r}{n}}
\]

### Given:
- $ m = 5000 $
- $ r = 0.04 $
- $ n = 1 $
- $ t = 10 $

Substituting the values into the formula:

\[
A = 5000 \times \frac{(1 + \frac{0.04}{1})^{1 \times 10} - 1}{\frac{0.04}{1}}
\]

Let me calculate this.The future value of the annuity after 10 years is approximately **$60,030.54**, rounded to the nearest cent.

Would you like any additional details or have any further questions?

Here are 5 related questions to expand your understanding:

1. How does increasing the interest rate affect the future value of an annuity?
2. What happens if the deposits are made monthly instead of annually?
3. How does the future value change if the compounding frequency is increased (e.g., quarterly compounding)?
4. What would be the effect of extending the time to 20 years instead of 10 years?
5. How does decreasing the deposit amount to $4,000 per year affect the annuity?

**Tip:** The higher the compounding frequency (monthly, quarterly, etc.), the greater the future value, even with the same interest rate.

Find the value of the annuity at the end of the indicated number of years. Assume that the interest is compounded with the same frequency as the deposits. Amount of Deposit: $5,000 annually, Rate: 4%, Time: 10 years.

Learn how to calculate the future value of an annuity with a $5,000 annual deposit, compounded annually at a 4% interest rate over 10 years. This step-by-step guide covers key financial concepts like annuities and compound interest, ideal for high school students in Grades 11-12.

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