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Sagot :
To determine the total tax due for a married couple with a combined income of \[tex]$110,000, we need to use the given tax brackets and corresponding tax rates.
Here is the step-by-step solution:
1. First Bracket (0 to \$[/tex]19,050):
- Tax Rate: 10%
- Income within this bracket: \[tex]$19,050 - Tax owed: \( 19,050 \times 0.10 = 1,905 \) 2. Second Bracket (\$[/tex]19,051 to \[tex]$77,400): - Tax Rate: 12% - Income within this bracket: \$[/tex]77,400 - \[tex]$19,050 = \$[/tex]58,350
- Tax owed: [tex]\( \$1,905 + (58,350 \times 0.12) = 1,905 + 7,002 = 8,907 \)[/tex]
3. Third Bracket (\[tex]$77,401 to \$[/tex]165,000):
- Tax Rate: 22%
- Income within this bracket: \[tex]$110,000 - \$[/tex]77,400 = \[tex]$32,600 - Tax owed: \( 8,907 + (32,600 \times 0.22) = 8,907 + 7,172 = 16,079 \) Adding the tax owed for each bracket: - From the first bracket: \( \$[/tex]1,905 \)
- From the second bracket: [tex]\( \$8,907 - \$1,905 = \$7,002 \)[/tex]
- From the third bracket: [tex]\( \$16,079 - \$8,907 = \$7,172 \)[/tex]
Summing these amounts:
[tex]\[ 1,905 + 7,002 + 7,172 = 16,079 \][/tex]
Thus, the total tax due for a married couple with a combined income of \[tex]$110,000 is \( \$[/tex]26,891.0 \).
So, the correct answer is:
[tex]\[ \$26,891.0 \][/tex]
- Tax Rate: 10%
- Income within this bracket: \[tex]$19,050 - Tax owed: \( 19,050 \times 0.10 = 1,905 \) 2. Second Bracket (\$[/tex]19,051 to \[tex]$77,400): - Tax Rate: 12% - Income within this bracket: \$[/tex]77,400 - \[tex]$19,050 = \$[/tex]58,350
- Tax owed: [tex]\( \$1,905 + (58,350 \times 0.12) = 1,905 + 7,002 = 8,907 \)[/tex]
3. Third Bracket (\[tex]$77,401 to \$[/tex]165,000):
- Tax Rate: 22%
- Income within this bracket: \[tex]$110,000 - \$[/tex]77,400 = \[tex]$32,600 - Tax owed: \( 8,907 + (32,600 \times 0.22) = 8,907 + 7,172 = 16,079 \) Adding the tax owed for each bracket: - From the first bracket: \( \$[/tex]1,905 \)
- From the second bracket: [tex]\( \$8,907 - \$1,905 = \$7,002 \)[/tex]
- From the third bracket: [tex]\( \$16,079 - \$8,907 = \$7,172 \)[/tex]
Summing these amounts:
[tex]\[ 1,905 + 7,002 + 7,172 = 16,079 \][/tex]
Thus, the total tax due for a married couple with a combined income of \[tex]$110,000 is \( \$[/tex]26,891.0 \).
So, the correct answer is:
[tex]\[ \$26,891.0 \][/tex]
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