The gross pay per year is [tex]\fbox{\bf\$19697.6}[/tex].
Further explanation:
Given:
The net pay is 66% of the gross pay. The net pay per week is $250.
Calculation:
Consider the gross pay as [tex]x[/tex] and net pay as [tex]y[/tex].
Since the net pay [tex]y[/tex] is 66% of the gross pay [tex]x[/tex], it can be written as follows:
[tex]\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}[/tex]
The net pay per week is given as $250.
Substitute 250 for [tex]y[/tex] in above equation.
[tex]\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}[/tex]
Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:
[tex]\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}[/tex]
Thus, the gross pay per year is $19697.6.
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Answer Details:
Grade: Middle School
Subject: Mathematics
Chapter: Interest
Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.
the answer is c ($19,696.97)
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