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12) A job offers you $15 an hour. Your boss
states that a percentage of your check will
be taken out for taxes, and then $35 for
medical insurance and $4 for dental
insurance. If you worked 38 hours, and
your total paycheck (for the week) was
$462.60, what percentage is taken out for
taxes?

Respuesta :

Answer:

12%

Step-by-step explanation:

Total paycheck before taking out taxes and insurance :

38×15 = 570

Left Amount of money after applying taxes :

570 - 570×(p/100)

= 570×[1 - (p/100)]

= 570×[(100-p)/100]

= (570/100) × [100 - p]

= 5.7 × [100 - p]

After taking out  the insurance amounts we can write this equation:

.,7 × [100 - p] - (35+4) = 462.6

⇔ 5.7 × [100 - p] - 39 = 462.6

⇔ 5,7 × [100 - p] = 462.6 + 39

⇔ 5,7 × [100 - p] = 501.6

⇔ 100 - p = 501.6/5.7

⇔ 100 - p = 88

⇔ p = 100 - 88

⇔ p = 12

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