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The question from the image involves simple interest calculations for a loan Amy takes for home renovations. Here’s how to solve it step by step:

### Given:
- Principal $ P = 14,300 $ dollars
- Annual interest rate $ r = 3.6\% = 0.036 $
- Time $ t = 99 $ days
- Days in a year: $ 365 $

### Simple Interest Formula:
\[
I = P \times r \times t
\]
Where:
- $ I $ is the interest,
- $ P $ is the principal,
- $ r $ is the annual interest rate,
- $ t $ is the time in years.

Since time is given in days, we need to convert days to years:
\[
t = \frac{99}{365}
\]

### Part (a): Find the interest owed after 99 days
\[
I = 14,300 \times 0.036 \times \frac{99}{365}
\]
Now, let's calculate that.

\[
I = 14,300 \times 0.036 \times 0.2712 = 139.56
\]

So, the interest owed after 99 days is **$139.56**.

### Part (b): Find the total amount owed after 99 days (if Amy doesn't make any payments)
The total amount owed is the sum of the principal and the interest:
\[
\text{Total Amount} = P + I = 14,300 + 139.56 = 14,439.56
\]

So, the total amount owed after 99 days is **$14,439.56**.

Let me know if you'd like more detailed steps or further explanations!

---

Here are 5 related questions:
1. How would the interest change if the annual interest rate was 5% instead of 3.6%?
2. What would happen to the interest if Amy paid off part of the loan before 99 days?
3. How would the total amount owed change if the loan term was 180 days?
4. How does compound interest differ from simple interest in this context?
5. What is the effect of increasing the principal amount on the interest calculation?

**Tip**: Always convert time periods correctly when calculating interest; ensure consistent units for days and years.

Amy obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 3.6%. Her loan is for $14,300 for 99 days. Assume each day is 1/365 of a year. Find the interest owed after 99 days and the total amount owed if no payments are made.

Learn how to calculate the simple interest on a $14,300 loan with an annual interest rate of 3.6% over 99 days. This problem includes step-by-step calculations to find the interest owed and the total amount owed if no payments are made. Suitable for high school students in Grades 9-12.

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