A rancher raises five as many cows as horses. If he has 168 cows and horses, how many cows does he have? Complete the equations below, and then use substitution to solve. Let c represent the number of cows and h represent the number of horses Equation 1: c=_h Equation 2: c+h=_

There are 28 horses and 140 cows

Step-by-step explanation:

Given

Animals: Cows and Horses

Represent Cows with c and Horses with h

For the first equation, we complete it as thus:

This is so because there are 5 times as many c as h

The second equation will be completed as:

This is so because the total animals are 168

So, we have:

Substitute 5h for c in the second equation

Solve for h

Recall that:

Hence, there are 28 horses and 140 cows

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%

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.