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This problem involves determining how much was invested in each of three accounts: stocks, bonds, and CDs. We have the following key details:

- The total amount invested is $170,000.
- The interest rates for CDs, bonds, and stocks are 5.75%, 2.9%, and 7.2%, respectively.
- The fund receives an annual income of $8,435 from these investments.
- Maricopa Success invested $35,000 more in bonds than in CDs.

Let's define the following variables:
- Let $ x $ be the amount invested in CDs.
- The amount invested in bonds will be $ x + 35,000 $.
- The amount invested in stocks will be $ 170,000 - x - (x + 35,000) $ (since the total investment is $170,000).

The total interest earned can be written as:

\[
0.0575 \cdot \text{(amount in CDs)} + 0.029 \cdot \text{(amount in bonds)} + 0.072 \cdot \text{(amount in stocks)} = 8435
\]

Now, substituting the amounts in terms of $ x $:

\[
0.0575x + 0.029(x + 35,000) + 0.072 \left(170,000 - x - (x + 35,000)\right) = 8435
\]

Let's solve this equation step by step.

1. Expand and simplify the equation.
2. Solve for $ x $, the amount invested in CDs.
3. Find the amounts invested in bonds and stocks.

I'll solve this equation for you now.The amounts invested in each account are as follows:

- Maricopa Success invested **$40,000** in CDs.
- Maricopa Success invested **$75,000** in bonds.
- Maricopa Success invested **$55,000** in stocks.

Let me know if you'd like more details or further clarification!

Here are 5 related questions for practice:
1. What would happen if the total investment amount was increased to $200,000?
2. How would the interest earned change if the CD interest rate increased to 6%?
3. What would the new investment in bonds be if the difference between bonds and CDs increased to $50,000?
4. How much would need to be invested in CDs to generate $5,000 in annual interest?
5. What would the total income be if only stocks were invested in?

**Tip:** When solving problems with multiple unknowns, try breaking them down into smaller, more manageable equations based on the conditions provided.

Maricopa's Success scholarship fund receives a gift of $170,000. The money is invested in stocks, bonds, and CDs. CDs pay 5.75% interest, bonds pay 2.9% interest, and stocks pay 7.2% interest. Maricopa Success invests $35,000 more in bonds than in CDs. If the annual income from the investments is $8,435, how much was invested in each account?

Solve how much was invested in CDs, bonds, and stocks from a total of $170,000, given interest rates of 5.75%, 2.9%, and 7.2%, and an annual income of $8,435. Learn to apply algebra and interest calculations to determine the investments. Suitable for Grades 10-12.

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