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solve these sums by using BEDMAS method answers should be accurate

The image contains application-based math problems that need to be solved using the BEDMAS method. Let's solve these problems step by step for accuracy.

### Problem 6
**$\left( \left( 7^2 - \{41\} \right) - 5 \times 2 \right) \div \left( 80 \div 10 \right)$**

1. Inside the inner brackets:
   - $7^2 = 49$
   - $49 - 41 = 8$

2. Then, handle the subtraction and multiplication:
   - $8 - 5 \times 2 = 8 - 10 = -2$

3. In the denominator:
   - $80 \div 10 = 8$

4. Final calculation:
   - $-2 \div 8 = -0.25$

**Answer**: $-0.25$

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### Problem 7
**$\$1{,}000 \times \left(1 + 0.09 \times \frac{88}{365}\right)$**

1. Multiply $0.09 \times \frac{88}{365}$:
   - $0.09 \times 0.24109589 \approx 0.02169863$

2. Add to 1:
   - $1 + 0.02169863 = 1.02169863$

3. Multiply by $1,000:
   - $1,000 \times 1.02169863 \approx 1,021.70$

**Answer**: $\$1{,}021.70$

---

### Problem 8
**$3 \left[\$2{,}000(1 + 0.003)^8\right] + \$1{,}500$**

1. Inside the brackets:
   - $1 + 0.003 = 1.003$

2. Exponentiation:
   - $1.003^8 \approx 1.02419052$

3. Multiply by $2,000:
   - $2,000 \times 1.02419052 \approx 2,048.38$

4. Multiply by 3:
   - $3 \times 2,048.38 \approx 6,145.14$

5. Add $1,500:
   - $6,145.14 + 1,500 = 7,645.14$

**Answer**: $\$7{,}645.14$

---

### Problem 9
**$\frac{20,000}{1 + 0.07 \times \frac{7}{12}}$**

1. Multiply $0.07 \times \frac{7}{12}$:
   - $0.07 \times 0.583333 \approx 0.040833$

2. Add to 1:
   - $1 + 0.040833 = 1.040833$

3. Divide:
   - $20,000 \div 1.040833 \approx 19,211.80$

**Answer**: $\$19{,}211.80$

---

### Problem 10
**$4 \times \left[\left(5^2 + 15\right)^2 - \left(13^2 - 9\right)^2\right]$**

1. Inside the first square bracket:
   - $5^2 = 25$
   - $25 + 15 = 40$
   - $40^2 = 1,600$

2. Inside the second square bracket:
   - $13^2 = 169$
   - $169 - 9 = 160$
   - $160^2 = 25,600$

3. Subtract:
   - $1,600 - 25,600 = -24,000$

4. Multiply by 4:
   - $4 \times -24,000 = -96,000$

**Answer**: $-96{,}000$

---

### Problem 11
**$\$500 \left[\frac{(1 + 0.00875)^{43} - 1}{0.00875}\right]$**

1. Calculate $1 + 0.00875 = 1.00875$.

2. Raise to the power of 43:
   - $1.00875^{43} \approx 1.422364$

3. Subtract 1:
   - $1.422364 - 1 = 0.422364$

4. Divide by 0.00875:
   - $0.422364 \div 0.00875 \approx 48.26$

5. Multiply by $500:
   - $500 \times 48.26 \approx 24,130.00$

**Answer**: $\$24{,}130.00$

---

### Problem 12
**$\$1{,}000 \times \left(1 + \frac{0.12}{6}\right)^{15}$**

1. Divide $0.12 \div 6 = 0.02$.

2. Add to 1:
   - $1 + 0.02 = 1.02$

3. Raise to the power of 15:
   - $1.02^{15} \approx 1.349858$

4. Multiply by $1,000:
   - $1,000 \times 1.349858 \approx 1,349.86$

**Answer**: $\$1{,}349.86$

---

Would you like more details or have any questions? Here are some related questions:

1. How do interest rates affect long-term financial calculations?
2. Can the exponent rule be applied to logarithmic equations?
3. What role does compounding play in these calculations?
4. How would different rounding rules impact these answers?
5. How can you simplify complex fractions before solving them?

**Tip**: When dealing with financial calculations, pay close attention to rounding rules, especially with interest rates and percentages!

Explore detailed solutions to math problems solved using the BEDMAS method. This page covers various applications-based math problems, including arithmetic operations and financial mathematics calculations. Suitable for Grades 9-12 students and anyone interested in mastering mathematical operations with precision.

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