To determine the correct tax payable on a taxable income of [tex]$\$[/tex] 64,000[tex]$, we need to calculate the tax based on the different tax brackets provided in the options.
Step-by-step calculation:
1. First Bracket:
- Taxable income up to \$[/tex] 9,875 is taxed at 10%.
- Tax for this bracket = [tex]\(10\% \times \$ 9,875\)[/tex].
- Result: \[tex]$ 987.50.
2. Second Bracket:
- Taxable income between \$[/tex] 9,876 and \[tex]$ 40,125 is taxed at 12%.
- Tax for this bracket = \(12\% \times (\$[/tex] 40,125 - \[tex]$ 9,875)\).
- Result: \(12\% \times \$[/tex] 30,250 = \[tex]$ 3,630.00\).
3. Third Bracket:
- Taxable income over \$[/tex] 40,125 up to \[tex]$ 64,000 is taxed at 22%.
- Tax for this bracket = \(22\% \times (\$[/tex] 64,000 - \[tex]$ 40,125)\).
- Result: \(22\% \times \$[/tex] 23,875 = \[tex]$ 5,252.50\).
4. Total Tax Payable:
- Sum of the taxes from all brackets:
- \$[/tex] 987.50 (First Bracket)
- \[tex]$ 3,630.00 (Second Bracket)
- \$[/tex] 5,252.50 (Third Bracket)
- Total = \[tex]$ 987.50 + \$[/tex] 3,630.00 + \[tex]$ 5,252.50 = \$[/tex] 9,870.00.
So, the correct calculation is given in option:
A. [tex]\(10 \% \times \$ 9,875 + 12 \% \times (\$ 40,125 - \$ 9,875) + 22 \% \times (\$ 64,000 - \$ 40,125)\)[/tex].
Thus, the correct answer is A.
