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James should earn a weekly salary of $ 432.76 with 0 exemptions to give the closest exemption.
In this question, we should estimate the salary earned before one exemption and find the equivalent brute salary with no exemptions. The expected salary is equal to product the brute salary minus the product of the tax rate and brute salary.
According to the table we have the expected salary after one exemption:
[tex]x = 418\cdot \left(1-\frac{19.66}{100} \right)[/tex]
[tex]x = 335.82[/tex]
After a quick inspection to the salary column for zero exemptions, we find that percentage associated to a salary with no exemptions: ([tex]r = 22.40\,\%[/tex])
[tex]C = \frac{335.82}{1-\frac{22.40}{100} }[/tex]
[tex]C = 432.76[/tex]
James should earn a weekly salary of $ 432.76 with 0 exemptions to give the closest exemption. [tex]\blacksquare[/tex]
The exemption table is missing. The complete figure is shown below.
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