Calculate the state income tax owed on a [tex]$\$[/tex]50,000[tex]$ per year salary, given the progressive tax rate below:

\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Income \\ Range (\$[/tex])
\end{tabular} & \begin{tabular}{c}
Progressive \\ Tax Rate
\end{tabular} \\
\hline
[tex]$0-4,000$[/tex] & [tex]$2 \%$[/tex] \\
\hline
[tex]$4,001-22,000$[/tex] & [tex]$4 \%$[/tex] \\
\hline
[tex]$22,001+$[/tex] & [tex]$5 \%$[/tex] \\
\hline
\end{tabular}

Tax = \$[?]



Answer :

To calculate the state income tax owed on a [tex]$50,000 per year salary, we need to apply the given progressive tax rates to the corresponding income ranges. Here’s a step-by-step breakdown of how to determine the total tax: 1. Income Range $[/tex]0 - 4,000[tex]$ at 2%: - Taxable income in this range: $[/tex]4,000 - [tex]$0 = $[/tex]4,000[tex]$ - Tax at 2%: $[/tex]4,000 \times 0.02 = [tex]$80$[/tex]

2. Income Range [tex]$4,001 - 22,000$[/tex] at 4%:
- Taxable income in this range: [tex]$22,000 - $[/tex]4,001 = [tex]$17,999$[/tex]
- Tax at 4%: [tex]$17,999 \times 0.04 = $[/tex]719.96[tex]$ 3. Income Range $[/tex]22,001 +[tex]$ at 5%: - Taxable income in this range: $[/tex]50,000 - [tex]$22,001 = $[/tex]27,999[tex]$ - Tax at 5%: $[/tex]27,999 \times 0.05 = [tex]$1,399.95$[/tex]

Finally, add up the taxes from all ranges to find the total state income tax owed:
[tex]\[ \text{Total Tax} = \$80 + \$719.96 + \$1,399.95 = \$2,199.91 \][/tex]

Therefore, the state income tax owed on a [tex]$50,000 per year salary is \(\$[/tex]2,199.91\).