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To solve this problem, we need to calculate the future value of two separate investments using the compound interest formula:

\[
FV = P \times (1 + r)^t
\]

Where:
- $ FV $ is the future value.
- $ P $ is the initial principal (the amount invested).
- $ r $ is the annual interest rate (as a decimal).
- $ t $ is the time in years.

### Investment A:
- Amount invested ($ P $): $3,400
- Investment start: 2 years from now.
- Investment period: 13 - 2 = 11 years
- Annual return ($ r $): 7.54% or 0.0754.

### Investment B:
- Amount invested ($ P $): $7,100
- Investment start: 7 years from now.
- Investment period: 13 - 7 = 6 years
- Annual return ($ r $): 16.94% or 0.1694.

Let's calculate the future values of each investment and sum them to find the total amount expected in 13 years.The future values of the investments are as follows:

- Investment A: $7,563.96
- Investment B: $18,156.70
- Total expected amount in 13 years: $25,720.66

Would you like more details, or do you have any questions?

Here are some related questions you might explore:
1. How would the future value change if the investment periods were different?
2. What would be the effect of changing the interest rates for each investment?
3. How does compound interest compare to simple interest for these investments?
4. What if the investments were made at different times within the 13-year period?
5. How can reinvesting the returns affect the final amount?

**Tip:** Always check if compounding frequency (e.g., annually, semi-annually) affects the interest rate calculations, as it can significantly impact the future value.

You plan to invest $3,400 in 2 years in investment A, which has an expected return of 7.54 percent per year. You also plan to invest $7,100 in 7 years in investment B, which has an expected return of 16.94 percent per year. How much money do you expect to have in 13 years?

Calculate the future value of two investments: $3,400 invested in 2 years with a 7.54% return per year and $7,100 invested in 7 years with a 16.94% return. Using the compound interest formula, learn how to compute the total expected amount in 13 years.

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