Which linear equation represents the graph?
a) y = 3x + 6
b) y = 3x − 6
c) y = −3x + 6
d) y = −3x − 6

D) y = −3x − 6

Step-by-step explanation:

The line passes through the y-axis at -6 meaning the y-intercept (b) is -6

The line goes down 3 and over 1, meaning the slope (m) is -3/1 which simplifies to -3

The equation for a linear line is y = mx + b so plug in -3 for m and -6 for b to get

y = -3x - 6

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

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%