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Kim's taxable income is about [tex]\$ 72,000[/tex] a year after accounting for deductions. Based on the following tax table and the use of tax brackets in the United States, which sentence about the taxes payable is true?

\begin{tabular}{|c|c|}
\hline Taxable Income & Tax Rate \\
\hline [tex]\$ 0[/tex] to [tex]\$ 9,875[/tex] & [tex]10\%[/tex] \\
\hline [tex]\$ 9,876[/tex] to [tex]\$ 40,125[/tex] & [tex]12\%[/tex] \\
\hline [tex]\$ 40,126[/tex] to [tex]\$ 85,525[/tex] & [tex]22\%[/tex] \\
\hline
\end{tabular}

A. The actual tax is more than [tex]22\%[/tex] of the taxable income.
B. A part of the taxable income is taxed at [tex]12\%[/tex].
C. The tax payable is [tex]22\%[/tex] of the taxable income.
D. The average tax rate on the taxable income is [tex]109\%[/tex].


Sagot :

Let's determine Kim's tax payable step by step according to the tax brackets provided:

1. First Tax Bracket: [tex]$0$[/tex] to [tex]$9,875$[/tex] at [tex]$10\%$[/tex]
- The maximum income in this bracket is [tex]$9,875. - Tax payable in this bracket: \( \$[/tex]9,875 \times 0.10 = \[tex]$987.50 \) 2. Second Tax Bracket: $[/tex]9,876[tex]$ to $[/tex]40,125[tex]$ at $[/tex]12\%[tex]$ - The maximum income in this bracket is $[/tex]30,249 (i.e., [tex]$40,125 - $[/tex]9,875)[tex]$. - Tax payable in this bracket: \( \$[/tex]30,249 \times 0.12 = \[tex]$3,629.88 \) 3. Third Tax Bracket: $[/tex]40,125[tex]$ to $[/tex]85,525[tex]$ at $[/tex]22\%[tex]$ - Kim's taxable income of $[/tex]72,000 falls within this bracket.
- Income taxed in this bracket: [tex]\( \$72,000 - \$40,125 = \$31,875 \)[/tex]
- Tax payable in this bracket: [tex]\( \$31,875 \times 0.22 = \$7,012.50 \)[/tex]

Now, we will add up the taxes from each bracket to find the total tax payable:

[tex]\[ \text{Tax Payable} = \$987.50 + \$3,629.88 + \$7,012.50 = \$11,630.00 \][/tex]

True statement:
B. A part of the taxable income is taxed at [tex]$12 \%$[/tex].