Math  /  Algebra

QuestionIf the federal government used the progressive tax rate below for individual income tax, calculate the federal income tax owed on a $57,600\$ 57,600 salary. \begin{tabular}{|c|c|} \hline Standard Deduction & \12,200 \\ \hline Income Range (\$) & \begin{tabular}{l} Progressive \\ Tax Rate \end{tabular} \\ \hline 0 . \quad 9,700 & 10 \% \\ \hline 9,701 - 39,475 & 12 \% \\ \hline 39,476 - 84,200 & 22 \% \\ \hline 84,201-160,275 & 24 \% \\ \hline 160,276+ & 32 \%$ \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The individual salary is \$57,600.
2. The standard deduction is \$12,200.
3. The taxable income needs to be calculated by subtracting the standard deduction from the salary.
4. The progressive tax rates apply to different portions of the taxable income as specified in the table.

STEP 2

1. Calculate the taxable income.
2. Apply the progressive tax rates to the appropriate portions of the taxable income.
3. Sum the taxes calculated from each portion to get the total federal income tax owed.

STEP 3

Calculate the taxable income by subtracting the standard deduction from the salary.
Taxable Income=$57,600$12,200=$45,400 \text{Taxable Income} = \$57,600 - \$12,200 = \$45,400

STEP 4

Determine the tax for the first portion of the income range (0$9,7000 - \$9,700) at 10%10\%.
Tax on $9,700=0.10×$9,700=$970 \text{Tax on } \$9,700 = 0.10 \times \$9,700 = \$970

STEP 5

Determine the tax for the second portion of the income range (\9,701$39,475)at9,701 - \$39,475) at 12\%$.
Tax on ($39,475$9,700)=0.12×($39,475$9,700)=0.12×$29,775=$3,573 \text{Tax on } (\$39,475 - \$9,700) = 0.12 \times (\$39,475 - \$9,700) = 0.12 \times \$29,775 = \$3,573

STEP 6

Determine the tax for the third portion of the income range (\39,476$45,400)at39,476 - \$45,400) at 22\%$.
Tax on ($45,400$39,475)=0.22×($45,400$39,475)=0.22×$5,925=$1,303.50 \text{Tax on } (\$45,400 - \$39,475) = 0.22 \times (\$45,400 - \$39,475) = 0.22 \times \$5,925 = \$1,303.50

STEP 7

Sum the taxes from each portion to get the total federal income tax owed.
Total Tax=$970+$3,573+$1,303.50=$5,846.50 \text{Total Tax} = \$970 + \$3,573 + \$1,303.50 = \$5,846.50
The total federal income tax owed on a \$57,600 salary is \$5,846.50.

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