To find the net income from the first scenario and the gross pay after 3 weeks from the second scenario, we will go through the calculations step by step.
Question 3: Calculate net income
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Calculate the gross pay: \[ \text{Gross Pay} = \text{Hourly Rate} \times \text{Hours Worked} = 7.75 \times 11 = 85.25 \]
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Calculate deductions:
- FICA: \( 85.25 \times 0.0765 = 6.52 \)
- Federal Tax Withholding: \( 85.25 \times 0.1015 = 8.66 \)
- State Tax Withholding: \( 85.25 \times 0.068 = 5.79 \)
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Total deductions: \[ \text{Total Deductions} = 6.52 + 8.66 + 5.79 = 20.97 \]
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Calculate net income: \[ \text{Net Income} = \text{Gross Pay} - \text{Total Deductions} = 85.25 - 20.97 = 64.28 \]
Net income: $64.28
Question 4: Calculate gross pay after a raise
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Calculate the new hourly rate after a 10% raise: \[ \text{New Hourly Rate} = 8.10 \times (1 + 0.10) = 8.10 \times 1.10 = 8.91 \]
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Calculate the gross pay for 10 hours per week: \[ \text{Gross Pay for 1 Week} = 8.91 \times 10 = 89.10 \]
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Calculate gross pay for 3 weeks: \[ \text{Gross Pay for 3 Weeks} = 89.10 \times 3 = 267.30 \]
Gross pay after 3 weeks: $267.30
Final answers:
- Question 3: 64.28
- Question 4: 267.30