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PilotLPTM [1.2K]
3 years ago
14

Lisa has a scholarship that pays 75% of her tuition for all four years she attends college. What is the total amount the scholar

ship is worth if Lisa's classes cost 12,000 per year
Mathematics
1 answer:
12345 [234]3 years ago
3 0
Since you're given the total cost per year (12,000) you multiply it by 4 so that you get the total amount for the four years. e.g. (4 x 12,000) = 480,000
Now you calculate the 75% from this amount because we want to obtain the amount of money the scholarship is worth. That is 480,000 x 75% = 360,000
or 480,000 x 0.75 = 360,000
So, the scholarship is of 360,000
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Answer:

It is not correct.

Step-by-step explanation:

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

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We know the total fencing is 1/2 miles long, thus

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\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

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\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

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\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

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