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Ede4ka [16]
1 year ago
13

James earns $418 per week and has one exemption. His office’s payroll software is broken and can only compute the withholding fo

r zero exemptions. What weekly salary with 0 exemptions would give the closest exemption to what James should have?
Mathematics
1 answer:
user100 [1]1 year ago
7 0

James should earn a <em>weekly</em> salary of $ 432.76 with 0 exemptions to give the closest exemption.

<h3>How to estimate the salary without exemption</h3>

In this question, we should estimate the salary <em>earned</em> before one exemption and find the <em>equivalent brute</em> salary with no exemptions. The expected salary is equal to product the <em>brute</em> salary minus the product of the <em>tax</em> rate and <em>brute</em> salary.

According to the table we have the expected salary after one exemption:

x = 418\cdot \left(1-\frac{19.66}{100} \right)

x = 335.82

After a quick inspection to the <em>salary</em> column for zero exemptions, we find that percentage associated to a salary with no exemptions: (r = 22.40\,\%)

C = \frac{335.82}{1-\frac{22.40}{100} }

C = 432.76

James should earn a <em>weekly</em> salary of $ 432.76 with 0 exemptions to give the closest exemption. \blacksquare

<h3>Remark</h3>

The exemption table is missing. The complete figure is shown below.

To learn more on salaries, we kindly invite to check this verified question: brainly.com/question/3315407

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