15. A hot dog stand sells of its hot dogs before noon, and of its hot dogs after noon. At the end of the day they have 21 hot dogs left. How many hot dogs did they sell?

PLEASE HELP WILL MARK BRAINLEST!

Step-by-step explanation:

The first thing to do is convert to a common denominator.  

So 1/2 =4/8. That means the vendor sold 4/8+3/8=7/8 of its hot dogs. 280 = 7/8. Now if you divide 280 by 7, you get 1/8 (answer = 40). The vendor sold 7/8 and 1/8 was left, which = 40. 8/8 would be 280 + 40 = 320.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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%