A landscaper is designing a rectangular garden. In the garden, he plans to have 4 rectangular planting boxes. The length of each rectangular box is twice as long as it is wide(w). The length of the entire garden area will have to be 2 meters less than 5 times the width(w) of one planting box. The width of the entire area will be 3 meters more than the width of a planting box. Draw a diagram. Then find a expression for the area of one planting box, and the area of the entire garden area. Lastly, find an expression for the area of the garden area that is not occupied by a planting box.

Step-by-step explanation:

width = y

length = y+5

area = 104 = y x (y+5) = y^2 + 5y

y^2 + 5y -104 = 0

(y-8)(y+13)= 0

y= 8 because can't have negative lengths

length = 8 + 5 = 13

$15 each

step-by-step explanation:

$45/3 children= $15 each

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%