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Select the correct answer.

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]\$ 40,125[/tex] to [tex]\$ 85,525[/tex] & [tex]22 \%[/tex] \\
\hline
\end{tabular}

A. A part of the taxable income is taxed at [tex]12 \%[/tex].
B. The tax payable is [tex]22 \%[/tex] of the taxable income.
C. The average tax rate on the taxable income is [tex]10 \%[/tex].
D. The actual tax is more than [tex]22 \%[/tex] of the taxable income.


Sagot :

To determine the correct sentence about the taxes payable, let's break down Kim's taxable income of \[tex]$72,000 using the given tax brackets. We will analyze each tax bracket separately to find out how much tax Kim owes. 1. Tax Bracket 1: $[/tex]0 to [tex]$9,875 at 10% - Taxable income within this bracket: $[/tex]9,875
- Tax calculation: [tex]$9,875 * 10% = $[/tex]987.50

2. Tax Bracket 2: [tex]$9,876 to $[/tex]40,125 at 12%
- Taxable income within this bracket: [tex]$40,125 - $[/tex]9,875 = [tex]$30,250 - Tax calculation: $[/tex]30,250 * 12% = [tex]$3,630 3. Tax Bracket 3: $[/tex]40,126 to [tex]$85,525 at 22% - Taxable income within this bracket: $[/tex]72,000 - [tex]$40,125 = $[/tex]31,875
- Tax calculation: [tex]$31,875 * 22% = $[/tex]7,012.50

Next, we add up the taxes calculated for each bracket to find the total tax payable:
[tex]\[ \$987.50 + \$3,630 + \$7,012.50 = \$11,630 \][/tex]

Given this breakdown, the correct answer among the given choices is:

A. A part of the taxable income is taxed at 12%.

Explanation:
- Option A is true because income within the range [tex]$9,876 to $[/tex]40,125 is taxed at 12%.
- Option B is false because the tax payable is not simply 22% of the taxable income. The 22% rate only applies to the portion of income above $40,125.
- Option C is false because the average tax rate is not exactly 10%; it depends on the total tax divided by the total taxable income.
- Option D is false because the actual tax is not more than 22% of the taxable income when considering the graduated tax rates.

Therefore, Option A accurately describes part of how the taxable income is handled within the tax brackets.