On a farm, the ratio of horses to cows is 2: 3. if there are a total of 100 animals, how many were horses?

The number of horses is 40

Solution:

Given that on a farm the ratio of horses to cows is 2 : 3

To find: Number of horses

From given ratio,

number of horses : number of cows = 2 : 3

Let the number of horses be 2x

Let the number of cows be 3x

Given that there are total of 100 animals

Therefore,

number of horses + number of cows = 100

2x + 3x = 100

5x = 100

x = 20

Therefore, number of horses = 2x = 2(20) = 40

Thus there are 40 horses

the probability that a bird is green (.30) is true

step-by-step explanation:

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%