15−2x−8−3x=−x−12+4x+43
now combine all the like terms on each side.
Add -2x and -3x
subtract 15 and -8....you subtract because the sign are different
now do the same for the other side
−5x+7=−x−12+4x+43
−5x+7=3x+31
bring the x value from the right side to the left side.
−5x+7−3x=31
combine like terms on left side
−8x+7=31
now move +7 to the right side which become..
−8x=−7+31
−8x=24
we will need to single out X by dividing

answer: X= -3
The current price of the stock given the dividend, cost of equity and growth rates is $46.90.
<h3>What is the current stock price?</h3>
Thw two-stage dividend growth model would be used to determine the value of the stock.
First stage:
- dividend in Y1 = 1.20x 1.12 = 1.344
- dividend in Y2 = 1.20 x 1.12^2 = 1.505
- dividend in Y3 = 1.20 x 1.12^3 = 1.69
Second stage:
Y3 = (1.69 X 1.06) / (0.095 - 0.06) = 51.059
Find the present value of these cash flows
(1.344 / 1.095) + (1.505 / 1.095²) + (1.69 / 1.095³) + (51.059/1.095³) = $46.90
To learn more about the two stage dividend model, please check: brainly.com/question/26564273
Rounded to the nearest tenth place would be: 1.0
Hope it helps!
Answer:
b. 0.25
c. 0.05
d. 0.05
e. 0.25
Step-by-step explanation:
if the waiting time x follows a uniformly distribution from zero to 20, the probability that a passenger waits exactly x minutes P(x) can be calculated as:

Where a and b are the limits of the distribution and x is a value between a and b. Additionally the probability that a passenger waits x minutes or less P(X<x) is equal to:

Then, the probability that a randomly selected passenger will wait:
b. Between 5 and 10 minutes.

c. Exactly 7.5922 minutes

d. Exactly 5 minutes

e. Between 15 and 25 minutes, taking into account that 25 is bigger than 20, the probability that a passenger will wait between 15 and 25 minutes is equal to the probability that a passenger will wait between 15 and 20 minutes. So:
