A supermarket worker on an hourly rate of \( \$ 13.50 \) got a pay increase of \( 8 \% \). Calculate the new hourly rate. The owners of a paper-mill with 580 employees decide to reduce employee numbers by \( 15 \% \). a How manv emplovees will lose their iobs?

Sure, let's solve both problems step by step. --- ### **Problem 1: Calculating the New Hourly Rate** **Given:** - **Original Hourly Rate** = \$13.50 - **Pay Increase** = 8% **To Find:** New Hourly Rate after an 8% increase. **Solution:** 1. **Calculate the Increase Amount:** \[ \text{Increase} = \text{Original Rate} \times \left( \frac{\text{Percentage Increase}}{100} \right) \] \[ \text{Increase} = \$13.50 \times \left( \frac{8}{100} \right) = \$13.50 \times 0.08 = \$1.08 \] 2. **Add the Increase to the Original Rate:** \[ \text{New Hourly Rate} = \text{Original Rate} + \text{Increase} = \$13.50 + \$1.08 = \$14.58 \] **Answer:** The new hourly rate is **\$14.58**. --- ### **Problem 2: Calculating the Number of Employees Losing Jobs** **Given:** - **Total Employees** = 580 - **Reduction Percentage** = 15% **To Find:** Number of employees who will lose their jobs. **Solution:** 1. **Calculate the Number of Employees to be Laid Off:** \[ \text{Number of Employees} = \text{Total Employees} \times \left( \frac{\text{Reduction Percentage}}{100} \right) \] \[ \text{Number of Employees} = 580 \times \left( \frac{15}{100} \right) = 580 \times 0.15 = 87 \] **Answer:** **87 employees** will lose their jobs. --- If you have any more questions or need further assistance, feel free to ask!