A research company surveys 8,000 people. The company expects 6,000 people to respond favorably. If there is a percent error of 2.5%, what is the range of people who will respond favorably to the survey?

5,850 - 6,150/ 5,850≤x≤6,150

Step-by-step explanation:

All we really need to see here is what is 2.5% of 6,000, that is 150,

Now, we just add/ subtract that from 6,000 to get our range

5,850 - 6,150/ 5,850≤x≤6,150  

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

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%