You plan to invest $18,300 in 3 years in investment A, which has an expected return of 16.70 percent per year. You also plan to invest $11,000 in 6  years in investment B, which has an expected  return of  7.55 percent per year. How much money do you expect to have in 12 years. Round tothe nearest dollar.

To calculate how much money you'll have in 12 years from both investments A and B, we need to calculate the future values of each investment. Here's how we can do that:

The formula for future value (FV) is:

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

Where:
- $FV$ is the future value.
- $PV$ is the present value (the amount invested).
- $r$ is the annual rate of return (in decimal form).
- $t$ is the time the money is invested for.

### For Investment A:
- Present Value ($PV$) = $18,300
- Rate of Return ($r$) = 16.70% = 0.167
- Time ($t$) = 12 years - 3 years = 9 years (since you'll invest in 3 years and we want the value at 12 years)

\[
FV_A = 18,300 \times (1 + 0.167)^9
\]

### For Investment B:
- Present Value ($PV$) = $11,000
- Rate of Return ($r$) = 7.55% = 0.0755
- Time ($t$) = 12 years - 6 years = 6 years (since you'll invest in 6 years and we want the value at 12 years)

\[
FV_B = 11,000 \times (1 + 0.0755)^6
\]

Let's now calculate both future values and sum them up to find the total amount you expect to have in 12 years.You can expect to have approximately **$90,490** in 12 years from both investments.

Would you like a more detailed breakdown of the calculations, or do you have any other questions?

Here are 5 related questions to consider:
1. How would the total change if the rate of return for Investment A was different?
2. What would happen if you invested in Investment B a year earlier?
3. How does compounding frequency (monthly vs. annually) affect future returns?
4. What if you made an additional investment in year 8? How would that change the outcome?
5. How do taxes on returns impact the final amount?

**Tip:** Always check the compounding frequency of your investments (e.g., monthly, annually), as it can significantly affect the future value.

You plan to invest $18,300 in 3 years in investment A, which has an expected return of 16.70 percent per year. You also plan to invest $11,000 in 6 years in investment B, which has an expected return of 7.55 percent per year. How much money do you expect to have in 12 years? Round to the nearest dollar.

Learn how to calculate the future value of two investments using compound interest. With $18,300 invested at a 16.70% return for 9 years and $11,000 invested at a 7.55% return for 6 years, this guide provides a step-by-step approach to finding the total amount in 12 years. Perfect for college-level or advanced high school students.

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