To solve this problem, we need to calculate the total deductions from the hourly wage and then divide the cost of the computer by the remaining amount per hour to determine the number of hours needed to pay for the new computer.
First, let's calculate the total deductions:
FICA withholding = 7.65% of $10.00 = (7.65/100) * $10.00 = $0.765
Federal tax withholding = 12% of $10.00 = (12/100) * $10.00 = $1.20
State tax withholding = 8% of $10.00 = (8/100) * $10.00 = $0.80
Total deductions = FICA withholding + Federal tax withholding + State tax withholding = $0.765 + $1.20 + $0.80 = $2.765
Now, let's calculate the remaining amount per hour:
Hourly wage - Total deductions = $10.00 - $2.765 = $7.235
Finally, let's determine the number of hours needed to pay for the new computer:
Number of hours = Cost of computer / Remaining amount per hour
Assuming the cost of the computer is C dollars:
Number of hours = C / $7.235
So, the answer to the original question is that you need to work C / $7.235 hours to pay for the new computer.