Noah wanted to check his solution of x = 14/5 for the equation 1/2 ( 7x - 6 ) = 6x - 10 substituting 14/5 for x , he writes the following:
1/2 ( 7 ( 14/5 ) - 6 ) = 6 ( 14/5 ) - 10
( 7 ( 14/5 ) - 6 ) = 12 ( 14/5 ) - 20
5 ( 7 ( 14/5 ) - 6 ) = 5 ( 12 ( 14/5 ) - 20 )
7 ⋅ 14 - 6 = 12 ⋅ 14 - 20
98 - 6 = 168 - 20
92 = 148
Find the incorrect step in Noah's work and explain why it is incorrect.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

step-by-step explanation:

it would open into a square depending on the type of envelope i’m not sure about the second part

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%