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Ber [7]
4 years ago
6

for the given perimeter find the length and width of the rectangle with the greatest area use whole numbers only

Mathematics
1 answer:
Viefleur [7K]4 years ago
8 0
So, the formula for the perimeter of a rectangle is 2l+2w=p. We know that p=80. Our options for w and l are: 30 and 10, 20 and 20, 25 and 15. To find the are we multiply the length by the width. 30*10=300, 20*20=400, 25*15=375. The greatest area is with the length and width both being 20.

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The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra
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given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

p-50 = \dfrac{50-52}{4000-3800}(x - 4000)

p-50 = \dfrac{-2}{200}(x - 4000)

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R(x) = x . p

R(x) = x (\dfrac{-x}{100}+ 90)

R(x) = \dfrac{-x^2}{100}+ 90x)

\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))

\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)

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