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

First, calculate the tax on the first bracket.

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

[tex]\[
\begin{array}{l}
=\$6,000 \cdot 3\% = \$[?] \\
=\$ \cdot 4\% = \$ \\
=\$ \quad \cdot 6\% = \$
\end{array}
\][/tex]

Fill in the answer that belongs in the green blank.
[tex]\[
\square \quad \text{Enter}
\][/tex]



Answer :

To calculate the state income tax owed on a [tex]$60,000 per year salary based on the given tax brackets, let's break down the calculations into each bracket. ### First Bracket (Income: $[/tex]0 - [tex]$6,000) The income within this bracket is taxed at 3%. So, we calculate: \[ \$[/tex] 6,000 \cdot 0.03 = \[tex]$ 180.00 \] ### Second Bracket (Income: $[/tex]6,001 - [tex]$15,000) Next, we calculate the tax for the income in the second bracket, which is taxed at 4%. Here, the income range from $[/tex]6,001 to [tex]$15,000 spans $[/tex]8,999 (\[tex]$15,000 - \$[/tex] 6,001 + 1)[tex]$. \[ \$[/tex] 9,000 \cdot 0.04 = \[tex]$ 360.00 \] ### Third Bracket (Income: $[/tex]15,001 and above)
Finally, we calculate the tax for the income above [tex]$15,000, taxed at 6%. The income above $[/tex]15,000 is [tex]$44,999 (\$[/tex]60,000 - \[tex]$15,001 + 1). \[ \$[/tex] 44,999 \cdot 0.06 = \[tex]$ 2,699.94 \] ### Total Tax To find the total tax owed, we sum the taxes calculated for each bracket: \[ \$[/tex] 180.00 + \[tex]$ 360.00 + \$[/tex] 2,699.94 = \[tex]$ 3,239.94 \] Hence, the state income tax owed on a $[/tex]60,000 per year salary is [tex]$3,239.94. Filling in the missing step for the first bracket as requested: \[ = \$[/tex]6,000 \cdot 3\% = \[tex]$180.00 \\ = \$[/tex]9,000 \cdot 4\% = \[tex]$360.00 \\ = \$[/tex]44,999 \cdot 6\% = \$2,699.94 \\
\]