Subjects algebra

Weekly Earnings

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1. **State the problem:** A salesperson earns a weekly salary of 1250 plus a 6% commission on all sales and a 2% bonus on sales above 5000. We need to find her total earnings if her sales were 9420. 2. **Formulas and rules:** - Commission = 6% of total sales = $0.06 \times \text{sales}$ - Bonus = 2% of sales above 5000 = $0.02 \times (\text{sales} - 5000)$ if sales > 5000 - Total earnings = salary + commission + bonus 3. **Calculate commission:** $$\text{Commission} = 0.06 \times 9420 = 565.2$$ 4. **Calculate bonus:** Since 9420 > 5000, $$\text{Bonus} = 0.02 \times (9420 - 5000) = 0.02 \times 4420 = 88.4$$ 5. **Calculate total earnings:** $$\text{Total earnings} = 1250 + 565.2 + 88.4 = 1903.6$$ 6. **Answer:** The salesperson would earn **1903.6** for the week if her total sales were 9420.