Final answer:
To determine the semi-monthly withholding amount for Mitchell Gomez, calculate the annual Social Security and Medicare deductions of 6.2% and 1.45% from his gross salary, respectively, apply the state's graduated tax rates, and divide by 24 pay periods.
Step-by-step explanation:
The question is asking to calculate the amount withheld from Mitchell Gomez's semi-monthly paycheck considering his gross salary, the Social Security and Medicare deductions, as well as state income tax rates. To find the semi-monthly withholding amount, we first calculate the annual Social Security and Medicare deductions based on his gross annual salary. Then, we add those deductions to the state tax, which is a graduated rate, and divide by the number of pay periods to get the semi-monthly deduction.
Mitchell earns $35,500 annually. His annual Social Security deduction is $35,500 * 6.2% and the Medicare deduction is $35,500 * 1.45%. The state tax follows a graduated scale, thus the first $15,000 is taxed at 3.25%, the next $15,000 at 3.6%, and the remaining $5,500 is taxed at 4.9%. Finally, the total amount of these deductions is divided by 24, the number of semi-monthly paychecks in a year, to obtain the amount deducted per paycheck.