Three strips of 2-yard wide outdoor carpet are used to cover a sidewalk one is 3.5 yards long ii is 45% longer than the first and the third is 6 1/4 yards long how long are the three carpets placed end-to-end

The answer for this problem is 14.825

Step-by-step explanation:

There are about three steps for this problem

The first is finding out what is 45% of 3.5 yds. You do this by multiplying 3.5 and .45 and you get 1.575

The second step is finding the second carpets length. All you have to do is add the number we got from multiplication which is 1.575 to 3.5 and you get 5.075. The reason we added those numbers is because the problem says the second carpet is 45% "longer" than the first carpet.

The third and final step is to add up all three values and you get 14.825!

linear pair postulates

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%