Final answer:
Emmet Michaels will pay $1,336.50 in state income tax after applying a 4.5% tax rate to his taxable income, which is calculated by subtracting his $2,000 single exemption from his gross pay of $31,700.
Step-by-step explanation:
To calculate the state income tax that Emmet Michaels would pay, we first find his taxable income by subtracting his exemption from his gross pay. Next, we apply the state income tax rate to his taxable income.
Taxable income = Gross pay - Exemption
Taxable income = $31,700 - $2,000
Taxable income = $29,700
Now, we calculate the state income tax by applying the state income tax rate to the taxable income:
State income tax = Taxable income × State income tax rate
State income tax = $29,700 × 0.045
State income tax = $1,336.50
Therefore, Emmet Michaels will pay $1,336.50 in state income tax.