Subjects algebra

Salesperson Earnings

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1. **State the problem:** A salesperson earns a weekly salary of 1250, a commission of 6% on all sales, and a bonus of 2% on sales above 5000. We need to find her total earnings if her sales are 9420. 2. **Formula and explanation:** Total earnings = Salary + Commission + Bonus - Commission = 6% of total sales = 0.06 \times 9420 - Bonus = 2% of sales above 5000 = 0.02 \times (9420 - 5000) 3. **Calculate commission:** $$\text{Commission} = 0.06 \times 9420 = 565.2$$ 4. **Calculate bonus:** $$\text{Bonus} = 0.02 \times (9420 - 5000) = 0.02 \times 4420 = 88.4$$ 5. **Calculate total earnings:** $$\text{Total earnings} = 1250 + 565.2 + 88.4 = 1903.6$$ 6. **Conclusion:** The salesperson would earn **1903.6** if her total sales were 9420. The correct answer is **b. 1903.60**.