Which of these is one of the two biggest reasons for the nation’s widening income inequality?

A rectangular page is designed to contain 81 square inches of print. The margins at the top and bottom of the page are each 1 in

Nookie1986 [14]

Answer:

x = 11.02 inch by y = 7.35 inch

Explanation:

Let the width of the print be = x

Then the width of the page is x + (1.5+1.5) = x + 3

Let the height of the print be = y

Then the height of the page is y + (1+1) = y + 2

Given the area of the print is 81 square inches

That means, xy = 81

Therefore, y = $\frac{81}{x}$

Therefore, the area of the page is

A = (x + 3)(y + 2)

= (x + 3)( $\frac{81}{x}$ + 2)

Now for least amount of paper to be used,

$\frac{dA}{dx}=(x+3)(\frac{81}{x}+2)$

$\frac{dA}{dx}= \left (\frac{81}{x}+2 \right )+\left ( x+3 \right )\left ( -\frac{81}{x^{2}} \right )=0$

$\frac{81+2x}{x}=\frac{(x+3)(81)}{x^{2}}$

$81x+2x^{2}=81x+81\times 3$

$2x^{2}=243$

x = 11.02 inch

Now y = $\frac{81}{x}$

= $\frac{81}{11.02}$

= 7.35 inch

Therefore the dimensions of thr page for the least amount of paper is x = 11.02 inch by y = 7.35 inch

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How do the two major political parties of today differ

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The amount of systematic risk present in a particular risky asset relative to that in an average risky asset is measured by the:

alexira [117]

Answer:

A. Beta coefficient.

Explanation:

This is widely used in regression analysis and in most times in capital asset pricing models (CAPM). The beta coefficient is a measure of an asset's risk and return in relation to a broad market, meaning that it will show, more or less, how the asset or a portfolio of assets will respond as the market moves up or down. It is used in the capital asset pricing model and regression analysis.

It also can be the measurement of how much the value of a particular share has changed in a particular period of time, compared to the average change in the value of shares in the stocks.

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