To calculate the state income tax owed on an [tex]$80,000 per year salary, we will break down the income into the specified tax brackets and apply the corresponding tax rates.
1. First Tax Bracket ($[/tex]0 - [tex]$26,000 at 1%):
- The income within this range is $[/tex]26,000.
- The tax on this portion is calculated as:
[tex]\[
26,000 \times 0.01 = 260.00
\][/tex]
2. Second Tax Bracket ([tex]$26,001 - $[/tex]46,000 at 3%):
- The income within this range is from [tex]$26,001 to $[/tex]46,000.
- The taxable income in this bracket is [tex]$46,000 - $[/tex]26,001 = [tex]$19,999.
- The tax on this portion is calculated as:
\[
19,999 \times 0.03 = 599.97
\]
3. Third Tax Bracket ($[/tex]46,001+ at 4%):
- The income within this range is from [tex]$46,001 to $[/tex]80,000.
- The taxable income in this bracket is [tex]$80,000 - $[/tex]46,000 = [tex]$34,000.
- The tax on this portion is calculated as:
\[
34,000 \times 0.04 = 1,360.00
\]
Now, to find the total tax owed, we add up the tax amounts from each of the brackets:
\[
260.00 + 599.97 + 1,360.00 = 2,219.97
\]
Therefore, the total state income tax owed on an $[/tex]80,000 per year salary is:
[tex]\[
\boxed{2,219.97}
\][/tex]
