Agnes pays state income tax equal to 3.75% of her federal taxable income. she pays federal income tax equal to 28.4% of her federal taxable income. this year, she paid $15,449.60 in federal income tax. how much did agnes pay in state income tax? a. $573.36 b. $4,387.69 c. $1,170.04 d. $2,040.00

Thank you for posting your question here. I hope the answer helps. The answer to the above problem is D which is $ 2,040. Below is the solution:

 The algebraic equation for this one would be: $15,449.60=28.4%X Solving for X; $15449.60/0.284 = $54,400 (this is the federal taxable income) 
The state income tax is 3.75% of $54,400. So, you multiply 
$54,400 * 0.0375 = $2,040 in state income tax.