Answer:
145 yd²
Step-by-step explanation:
There will be dour triangular faces. For a triangle, area is given as
A=½bh where b is base and h is height. The base will be 5 yards and h is 12 yards hence for one triangular face, area will be ½*5*12=30 yd²
Since they are four similar triangles, area of triangular faces will be 30*4=120 yd²
The surface area of a square base is given by
A=a*a=a² where a is the dimension of one side. Given that the meaurement is 5 yards then A=5²=25 yd²
Total area will be the sum of triangular and square faces hence 120+25=145 yd²
Answer:
C) 17
Step-by-step explanation:
Using the rule
A^2 + B^2 = C^2
8^2 + 15^2 = x^2
64 + 225 = x^2
x^2 = 289
x= _/-289
x = 17
Parabola: is a two-dimensional, mirror-symmetrical curve, which is
approximately U-shaped when oriented as shown in the diagram below, but
which can be in any orientation in its plane. It fits any of several
superficially different mathematical descriptions which can all be
proved to define curves of exactly the same shape.
Hyperbola:
In mathematics, a hyperbola (plural hyperbolas or hyperbolae) is a type
of smooth curve lying in a plane, defined by its geometric properties or
by equations for which it is the solution set. A hyperbola has two
pieces, called connected components or branches, that are mirror images
of each other and resemble two infinite bows
Hope this Helps
This type of sampling would be Random Sampling.
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)
