1. **State the problem:** Margo borrows 700 and agrees to pay 8% annual interest after 7 months. We need to find the interest she will pay.
2. **Formula used:** The simple interest formula is $$I = P \times r \times t$$ where:
- $I$ is the interest
- $P$ is the principal amount (700)
- $r$ is the annual interest rate (8% or 0.08)
- $t$ is the time in years
3. **Convert time to years:** Since 7 months is $$\frac{7}{12}$$ years, we have $$t = \frac{7}{12}$$.
4. **Calculate interest:**
$$I = 700 \times 0.08 \times \frac{7}{12}$$
5. **Simplify step-by-step:**
$$I = 700 \times 0.08 \times \frac{7}{12} = 700 \times \frac{8}{100} \times \frac{7}{12}$$
6. **Multiply numerators and denominators:**
$$I = 700 \times \frac{8 \times 7}{100 \times 12} = 700 \times \frac{56}{1200}$$
7. **Simplify fraction:**
$$\frac{56}{1200} = \frac{56 \div 8}{1200 \div 8} = \frac{7}{150}$$
8. **Calculate final interest:**
$$I = 700 \times \frac{7}{150} = \frac{700 \times 7}{150}$$
9. **Simplify numerator and denominator:**
$$I = \frac{4900}{150}$$
10. **Divide:**
$$I = 32.666\ldots$$
11. **Round to nearest cent:**
$$I = 32.67$$
**Final answer:** Margo will pay **32.67** in interest.
Simple Interest 454C96
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