To determine the total amount of taxes that Marlene owes based on her taxable income of \[tex]$95,000, we need to follow these steps:
1. Identify the appropriate tax brackets and rates for each segment of her income.
2. Calculate the tax owed for each segment.
Let's break down her taxable income through the tax brackets:
### Tax Bracket Splits:
1. \$[/tex]0 to \[tex]$7,825:
- This bracket is taxed at 10%.
- Calculation: \( 10\% \) of \(\$[/tex]7,825\)
- Tax owed: [tex]\( 0.1 \times 7,825 = 782.50 \)[/tex] dollars
2. \[tex]$7,825 to \$[/tex]31,850:
- This portion is taxed at 15%.
- Calculation: [tex]\( 15\% \)[/tex] of the amount over \[tex]$7,825 (which is \$[/tex]31,850 - \[tex]$7,825)
- Tax owed: \( 0.15 \times (31,850 - 7,825) = 0.15 \times 24,025 = 3,603.75 \) dollars
- Adding the base amount for this bracket: \$[/tex] 782.50 + \[tex]$ 3,603.75 = \$[/tex] 4,386.25
3. \[tex]$31,850 to \$[/tex]77,100:
- This portion is taxed at 25%.
- Calculation: [tex]\( 25\% \)[/tex] of the amount over \[tex]$31,850 (which is \$[/tex]77,100 - \[tex]$31,850)
- Tax owed: \( 0.25 \times (77,100 - 31,850) = 0.25 \times 45,250 = 11,312.50 \) dollars
- Adding the base amount for this bracket: \$[/tex] 4,386.25 + \[tex]$ 11,312.50 = \$[/tex] 15,698.75
4. \[tex]$77,100 to \$[/tex]95,000:
- This portion is taxed at 28%.
- Calculation: [tex]\( 28\% \)[/tex] of the amount over \[tex]$77,100 (which is \$[/tex]95,000 - \[tex]$77,100)
- Tax owed: \( 0.28 \times (95,000 - 77,100) = 0.28 \times 17,900 = 5,012 \) dollars
- Adding the base amount for this bracket: \$[/tex] 15,698.75 + \[tex]$ 5,012 = \$[/tex] 20,710.75
### Total Tax Owed:
Summing all the amounts from the brackets up through her taxable income:
- Tax for \[tex]$0 to \$[/tex]7,825: \[tex]$ 782.50
- Tax for \$[/tex]7,825 to \[tex]$31,850: \$[/tex] 4,386.25 [tex]\(\text{(including base amount)}\)[/tex]
- Tax for \[tex]$31,850 to \$[/tex]77,100: \[tex]$ 15,698.75 \(\text{(including base amount)}\)
- Tax for \$[/tex]77,100 to \[tex]$95,000: \$[/tex] 20,710.75 [tex]\(\text{(including base amount)}\)[/tex]
Therefore, the total amount of taxes Marlene owes is:
[tex]\[ \boxed{20,710.75} \][/tex]
Thus, the answer is:
A. \$20,710.75
