I believe in standard form this would be 31/2 + 27i/2
Answer:
12x^2 -21x -6
Step-by-step explanation:
(3x-6)(4x+1)
FOIL
first 3x*4x= 12x^2
outer 3x*1 = 3x
inner -6*4x = -24x
last -6*1 = -6
Add them together
12x^2 +3x -24x -6
Combine like terms
12x^2 -21x -6
Answer:
(a) 41300 (b) 8.10 % (c) 3.41% (at real rates)
Step-by-step explanation:
Solution
Given:
(a) The Weights of assets in Rachel's portfolio: = amount in each stock/ sum of amounts invested in all stocks
Share Amount Weights
A 13500 0.33
B 7600 0.18
C 14700 0.36
D 5500 0.13
THE TOTAL: 41300
(b) The Geometric average return of a portfolio = ((1+R1)*(1+R2)*(1+R3)....*(1+Rn))^(1/n) - 1
Now,
R1= return of period 1 Rn= return in nth period
Thus,
The Geometric average return of Rachel's portfolio=
((1+9.7%)*(1+12.4%)*(1-5.5%)*(1+17.2%))^(1/4) - 1
= 8.10 % (approx) per year.
(c) Using nominal rate of return (including inflation):
The CAPM: Required return= Risk free return + (Risk premium * Beta)
13.6 = Rf + (4.8*1.5)
So,
Rf= 6.4% (not inflation adjusted)
The inflation adjusted rate of return: ((1+return)/(1+inflation rate))-1
= ((1+13.6%)/(1+2.7%))-1 = 10.61%
Using CAPM: 10.61= Rf + (4.8*1.5)
Therefore, Rf= 3.41% (at real rates)
Is the second paragraph meant to throw you off??? Because the answer to the question does not rely on the information based from the second paragraph...
Anyway, we know that the turtle started from (0, 0) and moved to (10, 8). Let's assume that (0, 0) is (x1, y1), and that (10, 8) is (x2, y2) for the sake of calculations.
To find how far the turtle moved to the right (along the x-axis) we take x1 from x2:
x2 - x1 = 10 - 0
= 10 = x2
***this is the "run"
To find how far the turtle moved upwards (along the y-axis) we take y1 from y2:
y2 - y1 = 8 - 0
= 8 = y2
***this is the "rise"
Notice that when something moves away from the origin the distance it traveled along the x-axis and y-axis is the same as its final position (or coordinates to where it traveled to).
Therefore, the,
slope = rise / run
= x2 / y2
= 10 / 8
= 5 / 4 (preferable for use)
= 1.25
I say the third one because the end-points start where they are supposed to start/ end.
