The perimeter of the rectangle is 28 units,
what is the value of x?
5 units
7 units
14 units
15 units

Answer with Step-by-step explanation:

Perimeter of rectangle is given by:

Perimeter= 2(Length+width)

Here, Length= 2w-1

Width= w

and Perimeter= 28 units

So, 28= 2(2w-1+w)

28= 2(3w-1)

28= 6w-2

6w= 28+2

i.e. 6w= 30

Dividing both sides by 6, we get

w= 5

Hence, Value of w is:

5 units

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

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%