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The question in the image asks:

"You have invested $2500 in a 30-day savings certificate paying 4.15% per annum. Find the amount of the investment at the end of 30 days."

This is a simple interest problem where we need to calculate the interest earned over a 30-day period. 

The formula for simple interest is:

\[
A = P \left(1 + \frac{r \cdot t}{100}\right)
\]

Where:
- $ A $ = Final amount (principal + interest)
- $ P $ = Principal (initial investment), which is $2500
- $ r $ = Annual interest rate, which is 4.15%
- $ t $ = Time, which is 30 days. Since the rate is annual, we express the time in years, i.e., $ t = \frac{30}{365} $.

Let's compute this step-by-step:

\[
A = 2500 \times \left(1 + \frac{4.15 \times \frac{30}{365}}{100}\right)
\]

This will give us the final amount after 30 days.

Let me calculate that for you.The amount of the investment at the end of 30 days would be approximately **$2508.53**.

Would you like to explore further details on this or ask any related questions? Here are five related questions you might find helpful:

1. How is interest calculated for different periods like quarterly or semi-annually?
2. What is the difference between simple and compound interest?
3. How would the final amount change if the interest rate were compounded monthly?
4. Can you explain how the interest rate affects long-term investments?
5. How do banks typically calculate interest on savings certificates?

**Tip:** Always check if the interest is compounded (e.g., daily, monthly) or simple, as it will significantly impact the final amount.

You have invested $2500 in a 30-day savings certificate paying 4.15% per annum. Find the amount of the investment at the end of 30 days.

Learn how to calculate simple interest for a 30-day investment of $2500 at an annual interest rate of 4.15%. This problem covers the key formula for simple interest, and it's suitable for students in Grades 10-12.

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