Question

Seth earns $560 per week. He has 1/5 of his income withheld for federal taxes, 1/15 of his income withheld for state taxes, and 1/25 of his income withheld for medical coverage. How much income is left each week after those deductions?

Answer 1

Answer:  The required income left is $388.27.

Step-by-step explanation:  Given that Seth earns $560 per week. He has $\dfrac{1}{5}$ of his income withheld for federal taxes, $\dfrac{1}{15}$ of his income withheld for state taxes, and $\dfrac{1}[25}$ 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

$I_f=\dfrac{1}{5}\times560=112,$

the share of income that is withheld for state taxes is

$I_s=\dfrac{1}{15}\times560=37.33$

and the share of income that is withheld for medical coverage is

$I_m=\dfrac{1}{25}\times560=22.4.$

Therefore, the income that is left after all these deductions is given by

$I_l=560-I_f-I_s-I_m=560-112-37.33-22.4=560-171.73=388.27.$

Thus, the required income left is $388.27.

Answer 2

Answer: Income is left each week after those deductions = $ 388.216

Explanation:

Amount Seth earns per week = $ 560

$\text{Part of income withheld for federal taxes} = \frac{1}{5}$

$\text{Part of income withheld for state taxes }=\frac{1}{15}$

$\text{Part of income withheld for medical coverage} = \frac{1}{25}$

$\text{Part of income left after those deduction}\\= 1-\frac{1}{5}-\frac{1}{15}-\frac{1}{25}$

$=1-\frac{15+5+3}{75}\\=1-\frac{23}{75}\\=\frac{75-23}{75}\\=\frac{52}{75}$

So, income is left each week after those deductions is given by

$\frac{52}{75}\times 560\\=\frc{52\times 560}{75}\\=\ 388.266$

Hence , Income is left each week after those deductions = $ 388.216