Amechanic has a radiator hose that measures 32 feet long. it needs to be cut into pieces equaling 5 feet 3 inches. how many whole pieces can it be cut into?

6 whole pieces

Step-by-step explanation:

We are given that a mechanic has a radiator hose which is 32 feet long and needs to be cut into pieces equaling 5 feet 3 inches and we are to find the number of whole pieces that it can be cut into.

So we need to divide the total length by the the length that we want to cut the pieces into.

5 feet 3 inches = inches

By cross multiplication:

Therefore, 6 whole pieces can be cut from the hose.

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

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%