Simple Interest 25E6F2
1. **State the problem:** Benito borrowed 35000 on February 24 at 15% simple interest. We need to find how much interest he pays on October 30 of the same year.
2. **Formula for simple interest:**
$$I = P \times r \times t$$
where $I$ is the interest, $P$ is the principal amount, $r$ is the annual interest rate (in decimal), and $t$ is the time in years.
3. **Calculate the time $t$:**
From February 24 to October 30, count the number of days:
- February 24 to February 28: 4 days
- March: 31 days
- April: 30 days
- May: 31 days
- June: 30 days
- July: 31 days
- August: 31 days
- September: 30 days
- October 1 to October 30: 30 days
Total days = 4 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 30 = 248 days
Convert days to years:
$$t = \frac{248}{365} \approx 0.6795$$
4. **Convert interest rate to decimal:**
$$r = \frac{15}{100} = 0.15$$
5. **Calculate interest:**
$$I = 35000 \times 0.15 \times 0.6795 = 3567.38$$
6. **Answer:** Benito pays approximately 3567.38 in interest on October 30 of the same year.