Part a: alex purchased a picture frame with an area of 1250 in. he measured the length to be 50. what is the width? part b: alex has another picture frame with an are of 500 in and the same width as the first one. what is the length of the second frame

Part A: 25 in Part B: 10 in

Step-by-step explanation:

Part A:

we know the formula for the area of a rectangle is A=lw

or Area = length x width

We are given the area and the width

1250 = 50 (length)

Divide both sides by 50 to isolate the variable

25=l

your length is 25 in.

Part B:

the process here is the same

500 = 50 (length)

Divide both sides by 50 to isolate the variable.

10=l

your new length is 10 in.

Part A: 25 in Part B: 20 in

Step-by-step explanation:

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%

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: