We have that the total gross pay is $14,600.
The state tax rate is 3.5%.
First, we need to find the 3.5% of $14,600:
[tex]14600\cdot\frac{3.5}{100}=\frac{51100}{100}=511[/tex]This is the total value of tax in a year. Then, to find how much she pays we need to divide this amount by 12 (number of months of the year). Then, we have:
[tex]T=\frac{511}{12}\Rightarrow T=42.583333[/tex]Therefore, she needs to pay $42.58 a month in state taxes.
