What is (c+d) to the power of 3​

c³ + cd³ + 3c²d + 3cd²

Step-by-step explanation:

(c+d)^3 is worded as c plus d quantity cubed which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.

(c+d)(c+d)(c+d)

You can only multiply 2 at a time so do the first two then the result and the third one.

Distribute everything in one quantity to the other so c*c = c^2 and c*d = cd

= (c^2 + 2cd + d^2)(c+d)

= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3

Combine like terms

= c³ + 3c²d + 3cd² + cd³

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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%