Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x-axis. (0,-5) (-5,0)

Solution:

Equation of line in intercept form , if it cuts X axis at (a,0) and Y axis at (0,b) is :

      =

So, equation of line passing through (-5,0) and (0,-5) is  

        =

       →x + y = -5

     →→y= -x -5

Comparing with slope intercept form of line which is , y= m x + c

m =-1

tanФ=-1

tanФ=tan 135°

Ф= 135°

The angle made by line x+y =-5 with positive direction of x- axis is 135° or in terms of Radian.

answer: it is d

step-by-step explanation:

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%