Answer:
11/16
Step-by-step explanation:
The first thing I would do is see 11 times what will get me 33
The answer is 3
Next I would ask myself 48 divided by 3 is what
The answer is 16
To double check my work I would do 3 x 11 = 33
3 x 16 = 48
Since x = y + 2
so
y + 2 + 4y = 7
5y + 2 = 7
5y = 7-2
5y = 5
y = 1
x= y + 2
x = (1) + 2
x = 3
(x,y) = (3,1)
90 minutes = 1.5 hours.
Divide total miles driven by the time to find how many miles are driven in 1 hour:
250 miles / 1.5 hours = 166 2/3 miles per hour.
Multiply the miles driven in one hour by 6 hours:
166 2/3 x 6 = 1000 miles
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:
Answer is y = 2x - 3
Step-by-step explanation:
• Equation of parallel lines have the same slope. So first two equations are okay.
• For point (1, -1):

• Equation is y = 2x - 3