Write the system of inequalities carlos works at a movie theater selling tickets. the theater has 300 seats and charges $7.50 for adults and $5.50 for children. the theater expects to make at least $2000 for each showing

x + y ≤ 300

7.50x + 5.50y ≥ 2000

Step-by-step explanation:

It is given that the theater hall has 300 seats.

If there are x adults and y children then they must satisfy the following inequality that  

x + y ≤ 300 (1)

Now, it is also given that the charge for tickets for adults is $7.50 per ticket and that for children is $5.50 per ticket and the theater expects to make at least $2000 for each show.

Therefore, the following inequality can be written as

7.50x + 5.50y ≥ 2000 (2)

Hence, the inequality equations (1) and (2) can be written from the given data. (Answer)

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step-by-step explanation:

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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%