Final answer:
Derrick would have $2,475 withheld annually for state income tax, calculated by multiplying his annual salary of $49,500 by the state income tax rate of 5%.
Step-by-step explanation:
In order to determine the amount withheld yearly for state income tax for Derrick, who is a teacher earning $49,500 a year, we need to apply the state income tax rate to his taxable income. Since the state income tax rate is fixed at 5%, we can calculate his annual tax withholding by multiplying his annual salary by the tax rate.
To find the yearly state income tax withheld we use the formula:
Tax withholding = Taxable income × State income tax rate
Therefore:
Tax withholding = $49,500 × 0.05
Tax withholding = $2,475
Accordingly, Derrick would have an amount of $2,475 withheld annually for state income tax.