Congratulations! you have your first customer named suzie. she has come into your bakery today to order a customized rectangular cake.

2. 1/5 of the cake will have yellow frosting.

4. 1/4 of the whole cake will have pink sprinkles.

6. 1/8 of the whole cake will have lettering on it.

Step-by-step explanation:

Given that:

1/2 of the whole cake has yellow frosting.

1/5 of the whole cake has red frosting.

1/10 of the whole cake has green frosting.

Portion with blue frosting = ?

we can write above condition in equation as follow:

1- 1/2 - 1/5 - 1/10

1/5

Therefore 1/5 of the cake will have blue frosting.

Given that half of the yellow frosting will have pink sprinkle.

Portion of yellow frosting is half.

we can write above condition in equation as follow:

1/2 * 1/2

1/4

Therefore, 1/4 of the whole cake will have pink sprinkles.

Given that,

there will lettering on 1/4 of red frosting and 3/4 of green frosting.

we can write above condition in equation as follow:

1/4 * 1/5 + 3/4 * 1/10

1/20 + 3/40

1/8

Therefore, 1/8 of the whole cake will have lettering on it.

probability for j is 1/4

while

a is 1/6

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%