Astudent solved this problem and said the answer was 78.

there were 171 people who came to the play in the afternoon. in the evening, there were 93 more people at the play than in the afternoon. how many people came to the play in the evening?

which estimation strategy correctly checks whether the student’s answer is reasonable?

a.
the student’s answer is reasonable. estimation: 170 – 90 = 80

b.
the student’s answer is not reasonable. estimation: 170 + 90 = 260

c.
the student’s answer is not reasonable. estimation: 175 + 100 = 275

d.
the student’s answer is not reasonable. estimation: 200 – 100 = 100

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%

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9