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Harlamova29_29 [7]
2 years ago
15

A square plot of land one mile on each edge is 640 acres. given that there are 5280 ft/mi, approximately how many feet on each e

dge is needed for a square, 1 acre homestead?
Mathematics
1 answer:
zhenek [66]2 years ago
7 0

we know that

A square plot of land of dimensions  1 mile x 1 mile is 640 acres

5,280 ft is equal to 1 mile

so

5,280 *5,280 =27,878,400 ft^{2}-------> is equal to 640 acres

by proportion

\frac{27,878,400}{640} \frac{ft^{2}}{acres} = \frac{x}{1} \frac{ft^{2}}{acres} \\\\640*x=27,878,400 \\\\x= \frac{27,878,400}{640}\\\\ x=43,560\ ft^{2}

<u>Find the edge of the square plot</u>

=\sqrt{43,560} \\= 208.71\ ft

therefore

<u>the answer is</u>

208.71\ ft

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Answer:

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The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

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The price that generates the maximum profit is $18

The maximum profit is $200

<u>Part C:</u>

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all p\in (16,20), so the positive profit is for p\in (16,20)

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

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For this case we must find the product of the following expression:

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We add similar terms:

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-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2

Answeer:

-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2

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