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goldenfox [79]
2 years ago
9

The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x repr

esents the number of weeks and y represents the amount of money, in dollars, that is left in the account. After how many weeks will the account have $67 left in it?
Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
3 0

67  = -24x + 379\\

Subtract 379 from both sides.

that gives us: -312 = -24x

divide both sides by -24 which equals: x = 13.

13 weeks

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The cost of mortgage insurance is considered part of the cost of the loan. That amount is ...

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so the total amount paid for the loan is ...

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The cost of the loan is about $238,600.

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* In figuring the total repayment cost, we used the full-precision value for the loan payment. The actual repayment amount will depend on the rounded value of the loan payment and the way the final payment is made. When rounded to the nearest $100, these details become unimportant.

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Nikitich [7]
Check the picture below.

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keep in mind that the vertex is half-way between the focus point and directrix, at a distance "p" from either one, notice the "p" distance is just 3 units, since the parabola is opening to the right, "p" is positive.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})}
\\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}})
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=0\\
k=0\\
p=3
\end{cases}\implies (y-0)^2=4(3)(x-0)\implies y^2=12x\implies \cfrac{1}{12}y^2=x

6 0
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