Answered

Marilyn has a biweekly gross pay of [tex] \$810 [/tex] and claims 3 federal withholding allowances. Marilyn has all of the following deductions from her gross pay:

Federal tax from the following table:

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
\multirow{3}{*}{ If the wages are - } & \multicolumn{10}{|c|}{ And the number of withholding allowances claimed is } \\
\hline
At least & But less than & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & $10+[tex]$ \\
\hline
\multicolumn{12}{|c|}{ The amount of income tax withheld is - } \\
\hline
720 & 740 & 80 & 62 & 44 & 26 & 14 & 1 & 0 & 0 & 0 & 0 & 0 \\
\hline
740 & 760 & 83 & 65 & 47 & 28 & 16 & 3 & 0 & 0 & 0 & 0 & 0 \\
\hline
760 & 780 & 86 & 68 & 50 & 31 & 18 & 5 & 0 & 0 & 0 & 0 & 0 \\
\hline
780 & 800 & 89 & 71 & 53 & 34 & 20 & 7 & 0 & 0 & 0 & 0 & 0 \\
\hline
800 & 820 & 92 & 74 & 56 & 37 & 22 & 9 & 0 & 0 & 0 & 0 & 0 \\
\hline
820 & 840 & 95 & 77 & 59 & 40 & 24 & 11 & 0 & 0 & 0 & 0 & 0 \\
\hline
840 & 860 & 98 & 80 & 62 & 43 & 26 & 13 & 1 & 0 & 0 & 0 & 0 \\
\hline
\end{tabular}

Social Security tax that is $[/tex]6.2\%$ of her gross pay.



Answer :

Sure, let's break down the details for Marilyn's payroll deductions step-by-step.

### 1. Determine the Federal Tax Withheld
Marilyn's gross pay is [tex]\( \$810 \)[/tex]. According to the table, we need to find the appropriate federal tax based on her claims (3 allowances) and her gross pay range.

- Marilyn has claimed 3 federal withholding allowances.
- Her gross pay falls in the range of [tex]\( \$800 \)[/tex] to [tex]\( \$820 \)[/tex].

From the table, the federal tax withheld for someone earning between [tex]\( \$800 \)[/tex] and [tex]\( \$820 \)[/tex] with 3 withholding allowances is [tex]\( \$37 \)[/tex].

Federal Tax Withheld: [tex]\( \$37 \)[/tex]

### 2. Calculate the Social Security Tax
Social Security tax is calculated as 6.2% of the gross pay.

Given:
[tex]\[ \text{Gross Pay} = \$810 \][/tex]
[tex]\[ \text{Social Security Tax Rate} = 6.2\% = 0.062 \][/tex]

So, the Social Security tax is:
[tex]\[ \text{Social Security Tax} = 0.062 \times 810 = 50.22 \][/tex]

Social Security Tax: [tex]\( \$50.22 \)[/tex]

### 3. Summary of Deductions
- Federal Tax Withheld: [tex]\( \$37 \)[/tex]
- Social Security Tax: [tex]\( \$50.22 \)[/tex]

Thus, from Marilyn's gross pay of [tex]\( \$810 \)[/tex], the federal tax withheld is [tex]\( \$37 \)[/tex] and the Social Security tax is [tex]\( \$50.22 \)[/tex].