You own 2 investments, A and B, which are expected to be worth a  combined total value  of $85,447 in 12  years. You plan to invest $6,900 in 3 years in investment A, which has an expected return of 13.69 percent per year. You also plan to invest $34,300 in 5 years in investment B, which has an expected return  of X percent per year.  What is X? Round to  two decimal places and provide your answer as a percent

We can solve this problem by determining the expected annual return $ X $ for investment B, using the future value formula for both investments.

### Step 1: Future Value Formula
The future value of an investment is given by the formula:

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

where:
- $ FV $ is the future value,
- $ PV $ is the present value (initial investment),
- $ r $ is the annual return rate (as a decimal),
- $ t $ is the number of years.

### Step 2: Calculate the Future Value of Investment A

You will invest $6,900 in 3 years, and the total investment period from that time is $ 12 - 3 = 9 $ years for investment A. The return rate for investment A is 13.69%, or 0.1369.

\[
FV_A = 6900 \times (1 + 0.1369)^9
\]

### Step 3: Calculate the Future Value of Investment B

You will invest $34,300 in 5 years, and the total investment period from that time is $ 12 - 5 = 7 $ years for investment B. The return rate for investment B is $ X $, and we need to determine this value.

\[
FV_B = 34300 \times (1 + X)^7
\]

### Step 4: Combined Future Value of Investments A and B

The combined future value of both investments A and B after 12 years is $85,447. So:

\[
FV_A + FV_B = 85447
\]

Substituting the expressions for $ FV_A $ and $ FV_B $:

\[
6900 \times (1 + 0.1369)^9 + 34300 \times (1 + X)^7 = 85447
\]

We can now calculate $ FV_A $ and solve for $ X $. Let's calculate this step by step.It appears that one of the solutions might involve a complex number, which is not relevant for this real-world investment problem. Let's refine the process to ensure we only capture valid real solutions for $ X $, the annual return for investment B.

I'll recalculate and filter out non-real or invalid results.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can walk you through the steps to manually calculate the value of $ X $, or we can try again once the tool is available.

Here are a few related questions you might find interesting:
1. How does the future value formula change if compounding is quarterly instead of annually?
2. What would happen to the required return $ X $ if you delayed your investment in B by another year?
3. Can you calculate the effect of different interest rates for investment A on the final value?
4. How does inflation affect the value of your investments over time?
5. How would the future value change if you made additional contributions over the investment period?

**Tip:** It's always good practice to double-check complex calculations by breaking them down into smaller parts.

You own 2 investments, A and B, which are expected to be worth a combined total value of $85,447 in 12 years. You plan to invest $6,900 in 3 years in investment A, which has an expected return of 13.69 percent per year. You also plan to invest $34,300 in 5 years in investment B, which has an expected return of X percent per year. What is X? Round to two decimal places and provide your answer as a percent.

Learn how to calculate the return on investment B given the future value of two investments. This problem involves key financial concepts such as the future value formula, compound interest, and exponential growth, and it is suitable for advanced high school or college students.

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