Answer:
D) 7.5%
Step-by-step explanation:
Using dividend growth model,
Price, P = D / (r - g)
where, D = Dividend, r = cost of equity = 10% , and g= growth rate
we know that
=> r - g = D / P = Dividend yield = 2.5%
=> Growth rate, g = 10% - 2.5% = 7.5%
therefore the constant growth rate in dividends is closest to= 7.5%
Answer:
a) The algebraic notation is 4 ( x -3 ) = 4x -3
b) The algebraic notation is 2x +2
Step-by-step explanation:
<u><em>Explanation:-</em></u>
a)
Let 'x' be the number
Given 'x' is a number, subtract three
⇒ x - 3 and multiply '4'
The result of algebraic is 4 ( x -3 ) = 4x -3
b)
<em>Let 'x' be a number and add one</em>
⇒ (x+1) and then double
∴ The algebraic notation is
(x+1 ) (2) = 2x +2
Answer:
Depends on the ampere turns of the coil.
Step-by-step explanation:
The more your turn the wire in the coil, the greater the strength will be for the magnetic field.
Answer:
(14/3)a - (3/2) units²
Step-by-step explanation:
Integrate the function
a(x^0.5) - 2(x^-2)
Add 1 to the power, divide by the new power
a(x^1.5)/1.5 - 2(x^-1)/-1
(2a/3)(x^1.5) + 2/x
Upper limit - Lower limit
[(2a/3)(4^1.5) + 2/4] - [(2a/3)(1^1.5) + 2/1]
= [16a/3 + 1/2] - [2a/3 + 2]
= 14a/3 - 3/2
= (14/3)a - (3/2) units²
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
