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The problem states that Raina invested $500 for 3 years and earned a total interest of $75 using simple interest. We are tasked with finding the annual interest rate as a percentage.

### Formula for Simple Interest:
The formula for calculating simple interest is:

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

Where:
- $ I $ is the total interest earned ($75),
- $ P $ is the principal amount ($500),
- $ r $ is the annual interest rate (which we need to find),
- $ t $ is the time in years (3 years).

We can rearrange this formula to solve for $ r $:

\[
r = \frac{I}{P \times t}
\]

### Substituting the given values:

\[
r = \frac{75}{500 \times 3} = \frac{75}{1500} = 0.05
\]

So, the annual interest rate $ r $ is 0.05, or 5%.

### Final Answer:
The annual interest rate of her investment is **5%**.

Would you like more details on this solution or further clarifications?

Here are 5 related questions you might find interesting:
1. How would the interest change if the investment period was 5 years?
2. What would be the total interest if the rate was 6% instead?
3. How is compound interest different from simple interest?
4. What is the future value of the investment after 3 years including the interest earned?
5. How does changing the principal amount affect the total interest earned?

**Tip:** Always double-check your units (time in years, rate as a decimal) when using financial formulas to avoid confusion.

Raina invested $500 in a fund for 3 years and was paid simple interest. The total interest that she received on the investment was $75. As a percentage, what was the annual interest rate of her investment?

Learn how to calculate the annual interest rate of a $500 investment over 3 years with simple interest, earning a total of $75. This problem involves simple interest formulas and is suitable for students in Grades 9-10.

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