The width of a rectangle is 4 inches greater than half the length. the perimeter is 56 inches. what is the length and the width of the rectangle

length = 16 inches and width = 12 inches

Step-by-step explanation:

Let l be the length and w be the width of the rectangle.

It is given that width is 4 inches greater than half of the length:

------1

Perimeter of the rectangle is given by

 ----------------2

Substituting w from equation 1 in equation 2, we get:

∴ l = 16 inches

Putting l=16 in equation 1, we get w=12.

Hence w= 12 inches.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%