https://file.aiquickdraw.com/mathbot/file/17291929214238k2y0h81.jpg

The image shows a calculation of simple interest using the formula:

\[
I = P \times r \times t
\]

Where:
- $ P = 35,000 $ is the principal (initial amount of money).
- $ r = 0.06 $ is the annual interest rate (6%).
- $ t = \frac{9}{12} $ is the time period in years (9 months).

Now, let's calculate the interest:

\[
I = 35,000 \times 0.06 \times \frac{9}{12}
\]
\[
I = 35,000 \times 0.06 \times 0.75 = 1,575
\]

So, the simple interest $ I $ is $1,575.

Would you like more details or explanations?

Here are 5 questions to expand on this:
1. What is the difference between simple and compound interest?
2. How would the result change if the interest rate was compounded monthly instead of simple interest?
3. What would the total amount be after adding the interest to the principal?
4. How is time represented in interest calculations, and why is it converted to a fraction of a year here?
5. How would you calculate interest if the time period was in days instead of months?

**Tip**: Always ensure the time period is expressed in years when using the simple interest formula.

This solution involves calculating the simple interest on $35,000 at an annual rate of 6% over a period of 9 months. Learn how to apply the formula I = P * r * t to compute interest, and understand the key concepts of interest rates and time conversion. Suitable for students in Grades 7-9.

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