Suppose that the demand equation for a certain item is 1p+1x2−160=0. evaluate the elasticity at 65:

The required value of elasticity at x = 65 is -0.007.

Given that,

The demand equation for a certain item is .

We have to determine,

The value of elasticity at 65.

According to the question,

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

Therefore,

Price of elasticity =

Calculate change by differentiation with respect to p:

Then,

Therefore, The elasticity at x = 65 is ,

Hence, The required value of elasticity at x = 65 is -0.007.

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

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