Julie's taxable income is [tex]$\$[/tex]50,000[tex]$. The table gives the federal tax brackets for different levels of taxable income. Julie pays a progressive tax. How much will she pay in income tax this year?

\begin{tabular}{|c|c|}
\hline Tax Rate & Taxable Income Level \\
\hline $[/tex]10\%[tex]$ & $[/tex]\[tex]$0-\$[/tex]9,225[tex]$ \\
\hline $[/tex]15\%[tex]$ & $[/tex]\[tex]$9,226-\$[/tex]37,450[tex]$ \\
\hline $[/tex]25\%[tex]$ & $[/tex]\[tex]$37,451-\$[/tex]90,750[tex]$ \\
\hline $[/tex]28\%[tex]$ & $[/tex]\[tex]$90,751-\$[/tex]189,300[tex]$ \\
\hline $[/tex]33\%[tex]$ & $[/tex]\[tex]$189,301-\$[/tex]411,500[tex]$ \\
\hline $[/tex]35\%[tex]$ & $[/tex]\[tex]$411,501-\$[/tex]413,200[tex]$ \\
\hline $[/tex]39.60\%[tex]$ & above $[/tex]\[tex]$413,200$[/tex] \\
\hline
\end{tabular}

A. [tex]$\$[/tex]5,332.25[tex]$

B. $[/tex]\[tex]$12,500.00$[/tex]

C. [tex]$\$[/tex]9,552.50[tex]$

D. $[/tex]\[tex]$14,350.85$[/tex]

E. [tex]$\$[/tex]8,293.75$



Answer :

To determine how much Julie will pay in income tax this year, we need to calculate her tax based on the provided federal tax brackets. Let’s break down the calculations step by step:

1. First Bracket: \[tex]$0 - \$[/tex]9,225 at 10%
- Income within this bracket: \[tex]$9,225 - Tax from this bracket: \$[/tex]9,225 * 0.10 = \[tex]$922.50 2. Second Bracket: \$[/tex]9,226 - \[tex]$37,450 at 15% - Income within this bracket: \$[/tex]37,450 - \[tex]$9,225 = \$[/tex]28,225
- Tax from this bracket: \[tex]$28,225 * 0.15 = \$[/tex]4,233.75

3. Third Bracket: \[tex]$37,451 - \$[/tex]90,750 at 25%
- Julie's taxable income is \[tex]$50,000, so only the income above \$[/tex]37,450 falls into this bracket.
- Income within this bracket: \[tex]$50,000 - \$[/tex]37,450 = \[tex]$12,550 - Tax from this bracket: \$[/tex]12,550 * 0.25 = \[tex]$3,137.50 4. Summing up the taxes: - Tax from the first bracket: \$[/tex]922.50
- Tax from the second bracket: \[tex]$4,233.75 - Tax from the third bracket: \$[/tex]3,137.50

Therefore, the total income tax Julie will pay is:
[tex]\[ \$922.50 + \$4,233.75 + \$3,137.50 = \$8,293.75 \][/tex]

So, Julie will pay [tex]\(\$8,293.75\)[/tex] in income tax this year. The correct answer is:

E. \$8,293.75