A person filing his federal income tax return with the Single filing status had a taxable income of [tex]\$31,850[/tex]. According to the table below, how much of that income will he have left over after paying his federal income tax?

\begin{tabular}{|r|r|r|r|r|}
\hline \multicolumn{5}{|c|}{ Single } \\
\hline \begin{tabular}{r}
Taxable \\
income is \\
over
\end{tabular} & \begin{tabular}{r}
But not \\
over
\end{tabular} & \multicolumn{1}{|c|}{ The tax is } & \multicolumn{1}{|c|}{ Plus } & \begin{tabular}{r}
of the \\
amount \\
over
\end{tabular} \\
\hline \$0 & \[tex]$8,350 & \$[/tex]0.00 & 10\% & \[tex]$0 \\
\hline \$[/tex]8,350 & \[tex]$33,950 & \$[/tex]835.00 & 15\% & \[tex]$8,350 \\
\hline \$[/tex]33,950 & \[tex]$82,250 & \$[/tex]4,675.00 & 25\% & \[tex]$33,950 \\
\hline \$[/tex]82,250 & \[tex]$171,550 & \$[/tex]16,750.00 & 28\% & \[tex]$82,250 \\
\hline \$[/tex]171,550 & \[tex]$372,950 & \$[/tex]41,754.00 & 33\% & \[tex]$171,550 \\
\hline \$[/tex]372,950 & & \[tex]$108,216.00 & 35\% & \$[/tex]372,950 \\
\hline
\end{tabular}

A. [tex]\$3,525.00[/tex]

B. [tex]\$27,490.00[/tex]

C. [tex]\$4,360.00[/tex]

D. [tex]\$28,325.00[/tex]



Answer :

To determine how much income will be left over after paying federal income tax, we need to follow these steps:

1. Identify the Taxable Income:
The taxable income given is [tex]$31,850. 2. Determine the Appropriate Tax Bracket: Based on the provided table, the taxable income $[/tex]31,850 falls into the second tax bracket: [tex]$8,350 to $[/tex]33,950.

3. Calculate the Tax:
The components of the second tax bracket are as follows:
- The base tax for the second bracket from [tex]$8,350 up to $[/tex]33,950 is [tex]$835.00. - The tax rate for the second bracket is 15%. - The amount over the lower limit of $[/tex]8,350 must be calculated to determine the taxable portion within the bracket.

4. Compute Taxable Amount within the Bracket:
The taxable amount within the bracket (from [tex]$8,350 to $[/tex]31,850) is as follows:
[tex]\[ 31,850 - 8,350 = 23,500 \][/tex]

5. Calculate the Tax on This Portion:
The tax on the [tex]$23,500 within this bracket at the 15% rate is: \[ 23,500 \times 0.15 = 3,525 \] 6. Calculate Total Tax: The total tax is the sum of the base tax of $[/tex]835 plus the calculated tax within the bracket:
[tex]\[ 835 + 3,525 = 4,360 \][/tex]

7. Calculate the Income Left After Tax:
Subtract the total tax from the taxable income to find the remaining income:
[tex]\[ 31,850 - 4,360 = 27,490 \][/tex]

So, the amount of income that will be left over after paying the federal income tax is:
[tex]\[ \boxed{27,490} \][/tex]

Therefore, the correct answer is:
B. [tex]$\$[/tex] 27,490.00$