Lisa is planning to buy oak fence to put around her (-7x-3) feet by (9x+2) feet rectangular garden. If each foot of oak fence costs $11, how much will the total oak fencing around her garden cost?

Given:

Dimensions of rectangular garden are (-7x-3) feet by (9x+2) feet.

Cost of oak fencing = $11 per foot

To find:

The cost of total oak fencing around her garden.

Solution:

Let,

Length of the garden, l = (-7x-3) feet

Width of the garden, w = (9x+2) feet

So, the perimeter of garden is (4x-2) fee.

Cost of oak fencing is $11 per foot. So, total cost is

Therefore, the total cost of oak fencing is 44x-22x.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

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%