Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation could be used to find h the number of hot dogs and c the number of cookies

and

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

--- (1)

And the amount spent can be represented as:

--- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

implies

And

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

Hence, the equations are:

and

Solving for c and h

Make c the subject in

Substitute 5 - h for c in

Collect Like Terms

Solve for h

-- approximated

Recall that:

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%

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step-by-step explanation: