To calculate the state income tax on a \[tex]$60,000 per year salary, let's break it down step by step using the given progressive tax rates.
1. Tax on the first \$[/tex]6,000:
- Tax rate: 3%
- Calculation: \[tex]$6,000 \times 3\% = \$[/tex]6,000 \times 0.03 = \[tex]$180
2. Tax on the next \$[/tex]9,000:
- Tax rate: 4%
- Calculation: \[tex]$9,000 \times 4\% = \$[/tex]9,000 \times 0.04 = \[tex]$360
3. Tax on the remaining \$[/tex]45,000:
- Tax rate: 6%
- Calculation: \[tex]$45,000 \times 6\% = \$[/tex]45,000 \times 0.06 = \[tex]$2,700
4. Total state income tax:
- Sum of all taxes calculated: \$[/tex]180 + \[tex]$360 + \$[/tex]2,700 = \[tex]$3,240
So, the total state income tax owed on a \$[/tex]60,000 per year salary is \$3,240.
