In a recent election, 2/3 of the citizens in a town voted. Of those voting, 60% voted in favor of a school bond. What fraction of the citizens voted for the school bond?

2/5 of the citizens who voted , 4/15 of all citizens

Step-by-step explanation:

We have,

2/3 citizens voted

In those who votes, 60% voted in favor of a school bond

Therefore,

People who voted in favor of the school bond= 60% of 2/3

                                                                            =60/100*2/3=2/5

Therefore, 2/5 of the citizens who voted had voted in favor of the school bond.

For all citizens,

x% of 1 = 2/5 of 2/3

x/100*1=2/5/100*2/3

x=4/15/100*100

x=4/15

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%