Answer: Income is left each week after those deductions = $ 388.216
Explanation:
Amount Seth earns per week = $ 560
[tex]\text{Part of income withheld for federal taxes} = \frac{1}{5}[/tex]
[tex]\text{Part of income withheld for state taxes }=\frac{1}{15}[/tex]
[tex]\text{Part of income withheld for medical coverage} = \frac{1}{25}[/tex]
[tex]\text{Part of income left after those deduction}\\= 1-\frac{1}{5}-\frac{1}{15}-\frac{1}{25}[/tex]
[tex]=1-\frac{15+5+3}{75}\\=1-\frac{23}{75}\\=\frac{75-23}{75}\\=\frac{52}{75}[/tex]
So, income is left each week after those deductions is given by
[tex]\frac{52}{75}\times 560\\=\frc{52\times 560}{75}\\=\$388.266[/tex]
Hence , Income is left each week after those deductions = $ 388.216
Answer: Â The required income left is $388.27.
Step-by-step explanation: Â Given that Seth earns $560 per week. He has [tex]\dfrac{1}{5}[/tex] of his income withheld for federal taxes, [tex]\dfrac{1}{15}[/tex] of his income withheld for state taxes, and [tex]\dfrac{1}[25}[/tex] of his income withheld for medical coverage.
We are to find the income that is left after all these deductions.
The share of income that is withheld for federal taxes is
[tex]I_f=\dfrac{1}{5}\times560=112,[/tex]
the share of income that is withheld for state taxes is
[tex]I_s=\dfrac{1}{15}\times560=37.33[/tex]
and the share of income that is withheld for medical coverage is
[tex]I_m=\dfrac{1}{25}\times560=22.4.[/tex]
Therefore, the income that is left after all these deductions is given by
[tex]I_l=560-I_f-I_s-I_m=560-112-37.33-22.4=560-171.73=388.27.[/tex]
Thus, the required income left is $388.27.
