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

The correct option is i.e.,

Further explanation:

Given:

Agnes pays state income tax equal to of her federal taxable income.

Agnes pays federal income tax equal to of her federal taxable income.

Agnes paid as federal income tax.

Calculation:

Consider the federal taxable income of Agnes is .

The state income tax equal to of her federal taxable income by Agnes can be represented as follows:

   …… (1)

Here, is the amount of money paid as state income tax.

The federal income tax equal to of her federal taxable income by Agnes can be represented as follows:

…… (2)

Here, is the amount of money paid as federal income tax.

The value of federal income tax that is is equal to .

Substitute for in equation (2) to obtain the value of .

The federal taxable income of Agnes is .

Substitute for in equation (1) to obtain the value of .

Therefore, the value of the state income tax is equal to .

Thus, the correct option is .

Learn more:

1. How to solve equation

2.

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Percentage

Keywords: State income tax, Federal income tax, Agnes, Federal taxable income, pays, 3.75%, 28.4%, $2040,  amount, money, percentage, fraction, decimals.

d. corresponding side lengths in similar triangles are proportional in length.

step-by-step explanation: