Subjects algebra

Percentage Pay Change 4B1A33

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1. **State the problem:** We need to find the percentage change in Carly's total annual pay from last year to this year, given a 6% increase in salary and a 9% decrease in bonus. 2. **Write down the known values:** - Last year's salary = 26000 - Last year's bonus = 4000 - Salary increase = 6% (which means multiply by 1 + 0.06 = 1.06) - Bonus decrease = 9% (which means multiply by 1 - 0.09 = 0.91) 3. **Calculate this year's salary:** $$\text{This year's salary} = 26000 \times 1.06 = 27560$$ 4. **Calculate this year's bonus:** $$\text{This year's bonus} = 4000 \times 0.91 = 3640$$ 5. **Calculate total pay for last year and this year:** $$\text{Last year's total pay} = 26000 + 4000 = 30000$$ $$\text{This year's total pay} = 27560 + 3640 = 31200$$ 6. **Calculate the change in total pay:** $$\text{Change} = 31200 - 30000 = 1200$$ 7. **Calculate the percentage change:** $$\text{Percentage change} = \frac{1200}{30000} \times 100 = 4\%$$ 8. **Interpretation:** Since the total pay increased by 1200, the percentage change is a 4% increase. **Final answer:** Carly's total annual pay increased by 4%.