In geometry, an undefined term is a basic figure that cannot be defined in terms of other figures.
The undefined terms in geometry are: point, line and plane.
Since you have not attached any figures, I cannot tell you which one is correct. Just choose the figure that is either a point, a line or a plane.
AVERAGE between 90 and 100%
means not including 90 and 100% but not including 90 or 100%
average=(sum of values in set)/(how many values in the set)
so
4 exams, so there are 4 values
average=(sum)/4
the sum is the known+unknwon
sum=76+99+86+x
so
90<span><</span>average and average <span><</span>100
or
90<span><</span>average<span><</span>100
lets say average=a
a=sum/number
a=(76+99+86+x)/4
90<(76+99+86+x)/4<100
90<(76+99+86+x)/4 and (76+99+86+x)/4<100
solve each for x and find intersection
90<span><</span>(76+99+86+x)/4
times 4 both sides
360<span><</span>261+x
minus 261 both sides
99<span><</span>x
(76+99+86+x)/4<u><</u>100
times 4 both sides
261+x<u><</u>400
minus 261 both sides
x<u><</u>139
so
99<u><</u>x<u><</u>139
since max score is 100
99<u><</u>x<u><</u>100
interval notaion is
[99,100]
answer is 2nd one
Answer:
The answer would be B: 8 ones, 4 tenths, and 5 hundredths.
Explanation:
First, you would have to use the equation: 1.57 + 6.88 = ?
Do the math, and 1.57 + 6.88 = 8.45
Now look at the answer choices. You can automatically get rid of every answer choice but B because none of them have an 8 in the ones place.
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)
Answer:
(-5, -8)
Step-by-step explanation:
Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
x^2 + 10x = - 17
x^2+10x+17=0
x^2+2*5x+25 - 8=0
(x+5)^2-8=0
h=-5, k= -8
vertex is (-5, -8)
