Answer:
The total percentage return on the share investment is 19.08% as calculated below as sum of the dividends yield and capital gains yield
The dividend yield on the share is 1.84%
The capital gains yield on the share is 17.24%
Find the details of the figures in the explanation section below.
Step-by-step explanation:
The percentage total return on the share is given the total return/initial share price.
The total return is the addition of dividend yield and gains yield
dividend yield=dividend/share price
=1.60/87
=1.84%
capital gains yield =(102-87)/87
=17.24%
Total percentage return=1.84%+17.24%
=19.08%
(2,5) (6,8)
Y2-Y1 divided by X2-X1
8-5=3
———-
6-2=4
so your slope is 3/4
Answer:
Dimensions :
x (the longer side, only one side with fence ) = 90 ft
y ( the shorter side two sides with fence ) = 45 ft
Total fence used 45 * 2 + 90 = 180 ft
A(max) =
Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.
Lets call "x" one the longer side ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side
Then we have:
P = perimeter = 180 = 2y + x ⇒ y = ( 180 - x ) / 2 (1)
And A (r) = x * y
A(x) = x * ( 180 - x ) /2 ⇒ A(x) = (180/2) *x - x² / 2
Taking derivatives on both sides of the equation :
A´(x) = 90 - x
Then if A´(x) = 0 ⇒ 90 - x = 0 ⇒ x = 90 ft
and from : y = ( 180 - x ) / 2 ⇒ y = 90/2
y = 45 ft
And
A(max) = 90 * 45 = 4050 ft²