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Sagot :
The net pay is the amount left after taxes and deductions have been removed from the gross pay.
Her monthly gross pay is: $4111.93
The deductions are:
[tex]\mathbf{FIT = \$102}[/tex]
[tex]\mathbf{SIT = 3.2\%}[/tex]
[tex]\mathbf{CIT = 1.8\%}[/tex]
Let her gross pay be x.
So, we have:
[tex]\mathbf{Net = x - FIT - x \times SIT - x \times CIT}[/tex]
So, we have:
[tex]\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}[/tex]
Express percentage as decimals
[tex]\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}[/tex]
[tex]\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}[/tex]
Add 102 to both sides
[tex]\mathbf{3906.33 = x - 0.032x - 0.018x}[/tex]
[tex]\mathbf{3906.33 = 0.95x}[/tex]
Divide both sides by 0.95
[tex]\mathbf{4111.93 = x}[/tex]
Rewrite as:
[tex]\mathbf{x = 4111.93 }[/tex]
Hence, her monthly gross pay is: $4111.93
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