Write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1)

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation has a slope of (), any line perpendicular to it will have a slope of .

Therefore, we have the line:

where is the y-intercept.

We can plug in the point it passes through to find the final equation:

.

Therefore, the equation of the line perpendicular to   that passes through the point is:

(slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

.

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%