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Ugo [173]
2 years ago
9

Genesis would like to join a Book Club. She needs to pay $12.00 for entrance into the book

Mathematics
1 answer:
77julia77 [94]2 years ago
5 0

Answer:

An equation in function notation for the total cost of the book  club will be:

  • y = 20x + 12

Step-by-step explanation:

Given that Genesis needs to pay $12.00 for entrance into the book club.

Per month fee = $20.00

We know that the slope-intercept form of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

As the rate of change is also called the slope.

The rate of $20.00 per month would be termed as the slope = m = 20

One time fee = $12.00, meaning the y-intercept = b = 12

Thus, the equation becomes

y = mx+b

  • y represents the total cost
  • x represents the duration
  • m represents the rate of change = m = 20
  • b represents the y-intercept = b = 12

y = 20x + 12

Therefore, an equation in function notation for the total cost of the book  club will be:

  • y = 20x + 12
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A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to d
wlad13 [49]
\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\
~~~~~~
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount deposited}\\
\end{array}\to &250000\\
pymt=\textit{periodic payments}\\
r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{since the payments are}\\
\textit{monthly, then twelve}
\end{array}\to &12\\
t=years\to &30
\end{cases}


\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right]
\\\\\\
pymt=250000\left[ \cfrac{0.0045}{1-\left( 1.0045\right)^{-360}} \right]
\\\\\\
pymt\approx 250000\left[ \cfrac{0.0045}{0.80138080852472389274} \right]
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3 years ago
A rectangle has a perimeter of 30m. The length is 10m. Solve the following equation to find the width: 2w+ 2(10)= 30
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subtract 20

2w=10

divide by 2

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plz rate as brainliest answer


5 0
3 years ago
Read 2 more answers
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