Solve each of the following equations that include brackets: 3(2d-9)+5d=17, and 8c-4(c+3)=8

ANSWER:  

After solving the equations, values of d and c are 4, 5.

SOLUTION:

Given, two equations are 3(2d-9) + 5d = 17, and 8c - 4(c+3) = 8.  

Now, let us solve the first equation.

3(2d-9) + 5d=17  

On multiplying the terms within the bracket, we get

3 × 2d – 3 × 9 + 5d = 17

6d – 27 + 5d = 17

11d = 17 + 27

11d = 44

d = 4

Now, let us solve the second equation.

8c - 4(c+3) = 8

On multiplying the terms within the bracket, we get

8c – 4 × c – 4 × 3 = 8

8c – 4c – 12 = 8

4c = 8 + 12

4c = 20

c = 5

Hence, after solving the equations , values of d and c are 4, 5.

step-by-step explanation:

1

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%