2) The Club Auto Parts Company has just recently been organized. It is expected to experience no growth for the next 2 years as it identifies its market and acquires its inventory. However, Club will grow at an annual rate of 5% in the third and fourth years and, beginning with the fifth year, should attain a 10% growth rate which it will sustain thereafter. The last dividend paid was $0.50 per share. Club has a cost of capital of 12%. What should be the present price per share of Club common stock?
Answers
Answer:
$20.84
Step-by-step explanation:
div 1 = $0.50
div 2 = $0.50
div 3 = $0.50 x 1.05 = $0.525
div 4 = $0.525 x 1.05 = $0.55125
years 5 and beyond we need to use the growing perpetuity formula:
stock price = [div 4 x (1 + g)] / (r - g) = ($0.55125 x 1.1) / (12% - 10%) = $30.32
now to determine the current value of the stocks we must calculate the present value of the future dividends and stock price:
stock price = $0.50/1.12 + $0.50/1.12² + $0.525/1.12³ + $0.55125/1.12⁴ + $30.32/1.12⁴ = $0.45 + $0.40 + $0.37 + $0.35 + $19.27 = $20.84
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Let f(x)=-4x+7 and g(x)=10x-6. Find f(g(x))
A square is inscribed in an equilateral triangle that is inscribed in a circle. A square is inscribed in an equilateral triangle that is inscribed in a circle. The square and circle are shaded.Which represents the area of the shaded region?area of the circle – area of the square – area of the trianglearea of the triangle – area of the square + area of the circlearea of the triangle + area of the square + area of the circlearea of the circle – area of the triangle + area of the square
feet.
height (h)= 7+37x-16x^2
Answers
27=7+37x-16x^2
multiply -1 both sides
-27=-7-37x+16x^2
add 27 both sides
16x^2-37x+20=0
use quadratic equation
if yo have
ax^2+bx+c=0
x=
1=16
b=-37
c=20
x=
x=
x=
aprox
x=0.861438 or 1.45106
Answers
Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.
As I said in last message, it exist an triangular inequality that is seen in Europe! An pupil of 16 years old should know it!!!
If a,b,c are the sides of a triangle it MUST exist these equality:
each side must be less then the sum of the others sides.
1)a<b+c
2)b<a+c
3)c<a+c
In the way:
5<8+x ==> x>-3 already done
8<x+5 ==>x>3
x<5+8==>x<13
thus 3<x<13
Did you enjoy all these words Melek, whose are written for nothing.
It is only bla-bla in english having nothing to do with a mathematic demonstration.
Answers
Answer:
m∠B would be 45°
Step-by-step explanation:
Since m∠C is a right angle (90°) and m ∠B is half of a right angle, it would be 45°.
Answers
y = (x+2)(x-6)(x+7)
(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12
(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84
y = x^3 + 3x^2 - 40x - 84
Answers
Answer:
x=6 y=3
Step-by-step explanation:
x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6
(B) x - 2y = -4
(C) y = (½)x - 2
(D) 2y = x + 4
Answers
First we need to plug in the values of the slope intercept form y = mx + b. b is the y-intercept so it is -2.
y = mx + -2.
Now lets find the rate of change or mx. the slope is 1/2 so the rate of change is 1/2. Lets plug in the value.
y = 1/2x + -2
The answer is A. Hope this helped!!