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To solve the problem of finding the simple interest, we can use the formula for simple interest:

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

Where:
- $I$ is the simple interest,
- $P$ is the principal amount (\$36,900),
- $r$ is the annual interest rate (9.25%, or 0.0925),
- $t$ is the time in years.

For the time $t$, since 179 days is given and the problem assumes a 360-day year, we convert days to years:

\[
t = \frac{179}{360}
\]

Now, let's calculate the interest.

### Step 1: Calculate the time in years
\[
t = \frac{179}{360} \approx 0.4972
\]

### Step 2: Plug values into the formula
\[
I = 36,900 \times 0.0925 \times 0.4972
\]
\[
I \approx 36,900 \times 0.045992
\]
\[
I \approx 1,698.07
\]

### Final Answer:
The simple interest is approximately **\$1,698.07**.

Would you like further clarification or details on any step? Here are 5 related questions to further your understanding:

1. What is the difference between simple and compound interest?
2. How does the number of days in a year (360 vs. 365) affect interest calculations?
3. How would you calculate simple interest if the interest rate were compounded monthly?
4. Can you derive the formula for future value using simple interest?
5. What happens to the interest amount if the time period is doubled but the rate stays the same?

### Tip:
Always check the basis for the time period (like 360 days in a year) in financial calculations, as it might differ depending on conventions or agreements.

Find the simple interest on $36,900 at 9.25% for 179 days. Assume 360 days in a year and 30 days in a month.

This simple interest problem calculates the interest on $36,900 at a rate of 9.25% for 179 days, using a 360-day year assumption. The solution involves the simple interest formula and percentage calculations, suitable for students in Grades 9-12.

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