Answer and Step-by-step explanation: To calculate the net income of the family after taxes, we need to first determine the amount of taxes they will pay.
The federal tax rate of 18% means that the family will pay 18 cents in taxes for every dollar of gross income they earn.
So, the amount of federal taxes the family will pay can be calculated as:
Federal taxes = Gross income x Tax rate
Federal taxes = $95,000.00 x 0.18
Federal taxes = $17,100.00
Now that we know the amount of federal taxes the family will pay, we can calculate their net income by subtracting the federal taxes from their gross income:
Net income = Gross income - Federal taxes
Net income = $95,000.00 - $17,100.00
Net income = $77,900.00
Therefore, the family's net income after paying federal taxes is $77,900.00.