To calculate your weekly earnings and deductions, we'll follow these steps:
- Calculate your gross earnings per week.
- Calculate the total deductions based on FICA, Federal Tax, and State Tax.
- Calculate your net pay after deductions.
- Determine the amount that is direct deposited and the amount that is given to you as a check.
Step 1: Calculate Gross Earnings Per Week
\[ \text{Gross Earnings} = \text{Hourly Rate} \times \text{Hours per Week} = 13.76 , \text{USD/hr} \times 10 , \text{hr/wk} = 137.60 , \text{USD/wk} \]
Step 2: Calculate Deductions
- FICA: 7.65% of gross pay
- Federal Tax: 9.8% of gross pay
- State Tax: 7.13% of gross pay
Calculating each deduction:
- FICA: \[ \text{FICA} = 137.60 \times 0.0765 = 10.52 , \text{USD} \]
- Federal Tax: \[ \text{Federal Tax} = 137.60 \times 0.098 = 13.49 , \text{USD} \]
- State Tax: \[ \text{State Tax} = 137.60 \times 0.0713 = 9.80 , \text{USD} \]
Total Deductions: \[ \text{Total Deductions} = \text{FICA} + \text{Federal Tax} + \text{State Tax} = 10.52 + 13.49 + 9.80 = 33.81 , \text{USD} \]
Step 3: Calculate Net Pay
\[ \text{Net Pay} = \text{Gross Earnings} - \text{Total Deductions} = 137.60 - 33.81 = 103.79 , \text{USD} \]
Step 4: Determine Direct Deposit and Check Amount
- 75% Direct Deposited: \[ \text{Direct Deposit} = 103.79 \times 0.75 = 77.84 , \text{USD} \]
- Check Amount (25%): \[ \text{Check Amount} = 103.79 \times 0.25 = 25.95 , \text{USD} \]
Final Answer
The amount given to you as a check per week is $25.95.