If AE=6x-55 and EC=3x-16, find DB. (Hint: Find x first and then substitute.)

46 units

Step-by-step explanation:

The diagonals of a rectangle bisect each other, which means that in this case, AE = EC. So, set the two expressions equal to each other and solve for x:

6x - 55 = 3x - 16

3x = 39

x = 13

Now, another property of rectangle diagonals is that they're the same length, which means AC = DB. So, let's just find the length of AC:

AC = AE + EC = (6 * 13 - 55) + (3 * 13 - 16) = 23 + 23 = 46

Thus, since AC = DB, we know that DB = 46 units.

Hope this helps!

32

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%