https://file.aiquickdraw.com/mathbot/file/1726438366515z37kthyn.jpg

Sun in all that work to a chart like that please.

Let's convert the work shown in the image into a neat chart as requested. 

From the image, it seems like there are investments at two different interest rates, and the goal is to calculate the amounts invested in both rates.

Here's a summary in a chart format:

| **Amount Invested** | **Interest Rate** | **Interest Earned** |
|---------------------|-------------------|---------------------|
| $2,000              | 9%                | $180                |
| $6,000              | 4%                | $240                |
| **Total**           |                   | **$420**            |

Explanation:
1. $2,000 is invested at 9%, which gives $180 in interest (`2000 × 0.09 = 180`).
2. $6,000 is invested at 4%, which gives $240 in interest (`6000 × 0.04 = 240`).
3. Total interest earned is $420 (`180 + 240 = 420`).

This matches the original calculations, where $X = 2000 was invested at 9%, and $8000 - X = 6000 was invested at 4%.

Would you like further details or any clarifications?

### Follow-up Questions:
1. How would the interest earned change if the amount invested at 9% was increased?
2. Can you derive a general formula for the interest earned based on different investments?
3. How would the chart change if the interest rates were swapped?
4. What if the total interest needed to be $500 instead of $420?
5. Can you calculate the percentage of total investment earning higher interest?

**Tip:** When solving investment problems, setting up a system of equations as shown helps organize the data and calculations.

Solve a problem where two amounts are invested at different interest rates, and the total interest is given. The objective is to find how much is invested at each rate.

Learn how to solve an investment problem where $2,000 is invested at 9% and $6,000 is invested at 4%, yielding a total interest of $420. This problem uses algebraic equations to find the amount invested at different interest rates. Suitable for high school students.

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