Let's break down the tax calculation for a taxable income of [tex]$64,000, following the tax rates provided:
1. First Bracket ($[/tex]0[tex]$ to $[/tex]9,875[tex]$ at $[/tex]10\%[tex]$):
- The tax for this bracket is calculated as:
\[
\$[/tex] 9,875 \times 10\% = \[tex]$ 9,875 \times 0.10 = \$[/tex] 987.5
\]
2. Second Bracket ([tex]$9,876$[/tex] to [tex]$40,125$[/tex] at [tex]$12\%$[/tex]):
- The amount in this bracket is:
[tex]\[
\$ 40,125 - \$ 9,875 = \$ 30,250
\][/tex]
- The tax for this bracket is:
[tex]\[
\$ 30,250 \times 12\% = \$ 30,250 \times 0.12 = \$ 3,630
\][/tex]
3. Third Bracket ([tex]$40,126$[/tex] to [tex]$85,525$[/tex] at [tex]$22\%$[/tex]):
- Since the income is [tex]$64,000, it falls within this bracket.
- The amount in this bracket is:
\[
\$[/tex] 64,000 - \[tex]$ 40,125 = \$[/tex] 23,875
\]
- The tax for this bracket is:
[tex]\[
\$ 23,875 \times 22\% = \$ 23,875 \times 0.22 = \$ 5,252.5
\][/tex]
4. Total Tax Payable:
- Adding up the tax from each bracket:
[tex]\[
\$ 987.5 + \$ 3,630 + \$ 5,252.5 = \$ 9,869.779999999999
\][/tex]
Therefore, the tax payable on a taxable income of [tex]$64,000 is calculated using the following steps, corresponding to Option C:
\[
10\% \times \$[/tex] 9,875 + 12\% \times (\[tex]$ 40,125 - \$[/tex] 9,875) + 22\% \times (\[tex]$ 64,000 - \$[/tex] 40,125)
\]
The correct answer is:
[tex]\[
\boxed{C}
\][/tex]
