1. Problem 8: Calculate Jade's total yearly income. Jade's income consists of three parts: annual salary, commission on sales, and car allowance. 2. Formula for total income: $$\text{Total Income} = \text{Salary} + \text{Commission} + \text{Car Allowance}$$ 3. Calculate commission: $$\text{Commission} = 2.5\% \times 1,200,000 = 0.025 \times 1,200,000 = 30,000$$ 4. Calculate car allowance yearly: $$\text{Car Allowance} = 50 \times 52 = 2,600$$ 5. Calculate total income: $$\text{Total Income} = 18,000 + 30,000 + 2,600 = 50,600$$ --- 6. Problem 9: Calculate commission for different selling prices based on tiered rates. Commission rates: - First $20,000 at 5% - Next $120,000 at 3% - Thereafter at 1% 7. For $100,000: - First $20,000: $20,000 \times 5\% = 1,000$ - Next $80,000 (100,000 - 20,000): $80,000 \times 3\% = 2,400$ - Total commission: $1,000 + 2,400 = 3,400$ 8. For $150,000: - First $20,000: $20,000 \times 5\% = 1,000$ - Next $120,000: $120,000 \times 3\% = 3,600$ - Remaining $10,000 (150,000 - 140,000): $10,000 \times 1\% = 100$ - Total commission: $1,000 + 3,600 + 100 = 4,700$ 9. For $200,000: - First $20,000: $20,000 \times 5\% = 1,000$ - Next $120,000: $120,000 \times 3\% = 3,600$ - Remaining $60,000 (200,000 - 140,000): $60,000 \times 1\% = 600$ - Total commission: $1,000 + 3,600 + 600 = 5,200$ --- 10. Problem 10: Find Harry's commission rate. 11. Harry's total earnings last week: $$700 = 300 + \text{Commission}$$ 12. Calculate commission earned: $$\text{Commission} = 700 - 300 = 400$$ 13. Commission rate formula: $$\text{Commission Rate} = \frac{\text{Commission}}{\text{Sales}} = \frac{400}{20,000} = 0.02 = 2\%$$ Final answers: - Jade's total yearly income: $50,600$ - Commissions for $100,000, $150,000, $200,000 sales: $3,400$, $4,700$, $5,200$ - Harry's commission rate: $2\%$