Identify the mathematical property, operation, or idea that justifies each sequence of expressions below. then find the value of the expression.
a.
7⋅2+4−2(7+3)
7⋅2+4−2(7)−2(3)
7⋅2−7(2)+4−2(3)
b.
6⋅3+3⋅4−8
18+12−8
18−8+12
c.
3^2+5(1−3)+4⋅5+1
3^2+4⋅5+1+5(−2)
9+20+1−10
d.
(8+(−12))+10+2
8+(−12+10+2)

a) Distributive Property of Multiplication, b) Prioritizing the multiplication, c) Solving the Parentheses first and Reordering the expression d) Grouping the numbers that cancel each other

Step-by-step explanation:

On these expressions below, we have some ways to proceed with this resolution.

a) Distributive Property on Multiplication made possible the distribution of factor -2 (line 1)

b) Prioritizing the multiplication on line 1. By following the PEMDA acronym.

Parentheses, Exponents, Multiplication, Division, Adition.

c) Solve the Parentheses first and Reorder the expression

d) Grouping the numbers that cancel each other

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%

here is a big fat