A certain state uses the progressive tax rate below for calculating individual income tax. Calculate the state income tax owed on a [tex]$\$[/tex] 60,000[tex]$ per year salary.

\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Income \\ Range (\$[/tex])
\end{tabular} &
\begin{tabular}{c}
Progressive \\ Tax Rate
\end{tabular} \\
\hline
[tex]$0-6,000$[/tex] & [tex]$3 \%$[/tex] \\
\hline
[tex]$6,001-15,000$[/tex] & [tex]$4 \%$[/tex] \\
\hline
[tex]$15,001+$[/tex] & [tex]$6 \%$[/tex] \\
\hline
\end{tabular}

\begin{array}{l}
\[tex]$ 6,000 \cdot 3 \% = \$[/tex] 180 \\
\[tex]$ 9,000 \cdot 4 \% = \$[/tex] 360 \\
\[tex]$ 45,000 \cdot 6 \% = \$[/tex] 2,700 \\
\end{array}

Total tax owed = \[tex]$ 180 + \$[/tex] 360 + \[tex]$ 2,700 = \$[/tex] 3,240

Fill in the answer that belongs in the green blank.



Answer :

To calculate the state income tax owed on a [tex]$60,000 per year salary, we'll break it down by the given income brackets and their corresponding tax rates. 1. For the first bracket ($[/tex]0 - [tex]$6,000 at 3%): - The income in this bracket is $[/tex]6,000.
- The tax for this bracket is calculated as [tex]$6,000 \times 3\% = \$[/tex]180.00[tex]$. 2. For the second bracket ($[/tex]6,001 - [tex]$15,000 at 4%): - The income in this bracket is $[/tex]15,000 - [tex]$6,000 = $[/tex]9,000.
- The tax for this bracket is calculated as [tex]$9,000 \times 4\% = \$[/tex]360.00[tex]$. 3. For the third bracket ($[/tex]15,001 and above at 6%):
- The income in this bracket is [tex]$60,000 - $[/tex]15,000 = [tex]$45,000. - The tax for this bracket is calculated as $[/tex]45,000 \times 6\% = \[tex]$2,700.00$[/tex].

So, the total state income tax owed is the sum of the taxes for each bracket:

[tex]\[ \text{Total Tax} = \$180.00 + \$360.00 + \$2,700.00 = \$3,240.00 \][/tex]

Thus, we can fill those amounts step-by-step in the corresponding placeholders:

[tex]\[ \begin{array}{l} \$6,000 \cdot 3\% = \$180 \\ \$9,000 \cdot 4\% = \$360 \\ \$45,000 \cdot 6\% = \$2,700 \end{array} \][/tex]