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Semenov [28]
3 years ago
12

The amount of money Sarah earns per week is modeled by the function W below where h

Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

416

Step-by-step explanation:

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Step-by-step explanation:

The existence of the constant rate of change is given the ratio of y to x is the same. Then:

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3 years ago
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\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\&#10;\left. \qquad \qquad \right.(\textit{payments at the end of the period})&#10;\\\\&#10;A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \qquad &#10;\begin{cases}&#10;A=&#10;\begin{array}{llll}&#10;\textit{accumulated amount}\\&#10;\end{array}\to &&#10;\begin{array}{llll}&#10;8000&#10;\end{array}\\&#10;pymnt=\textit{periodic payments}\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{monthly, thus twelve}&#10;\end{array}\to &12\\&#10;t=years\to &4&#10;\end{cases}

\bf 8000=pymnt\left[ \cfrac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]&#10;\\\\\\&#10;\cfrac{8000}{\left[ \frac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]}=pymnt\implies \cfrac{8000}{\frac{\left( \frac{241}{240} \right)^{48}-1}{\frac{1}{240}}}=pymnt&#10;\\\\\\&#10;\cfrac{8000}{53.0148852}\approx pymnt\implies 150.9010152318\approx pymnt
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3 years ago
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