To calculate your net hourly wage, we need to determine your gross pay for the hours worked, then find the total deductions, and finally subtract those deductions from your gross pay.
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Calculate Gross Pay: \[ \text{Gross Pay} = \text{Hourly Wage} \times \text{Hours Worked} = 8.34 , \text{USD/hr} \times 12 , \text{hrs} = 100.08 , \text{USD} \]
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Calculate Deductions:
- FICA: \[ \text{FICA} = 100.08 \times 0.0765 = 7.65582 , \text{USD} \]
- Federal Tax Withholding: \[ \text{Federal Tax} = 100.08 \times 0.1025 = 10.251 , \text{USD} \]
- State Tax Withholding: \[ \text{State Tax} = 100.08 \times 0.0715 = 7.15812 , \text{USD} \]
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Total Deductions: \[ \text{Total Deductions} = \text{FICA} + \text{Federal Tax} + \text{State Tax} = 7.65582 + 10.251 + 7.15812 = 25.06594 , \text{USD} \]
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Calculate Net Pay: \[ \text{Net Pay} = \text{Gross Pay} - \text{Total Deductions} = 100.08 - 25.06594 = 75.01406 , \text{USD} \]
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Calculate Net Hourly Wage: \[ \text{Net Hourly Wage} = \frac{\text{Net Pay}}{\text{Hours Worked}} = \frac{75.01406}{12} = 6.25117 , \text{USD} \]
Finally, round the net hourly wage to the nearest penny: \[ 6.25117 \approx 6.25 \]
So, the net hourly wage is 6.25.