Answer:
x=20
Step-by-step explanation:
Let's solve your equation step-by-step.
4x−4+3x−2+2x+6=180
Step 1: Simplify both sides of the equation.
4x−4+3x−2+2x+6=180
4x+−4+3x+−2+2x+6=180
(4x+3x+2x)+(−4+−2+6)=180(Combine Like Terms)
9x=180
9x=180
Step 2: Divide both sides by 9.
9x
9
=
180
9
x=20
Answer:
x=20
<span>1000 cm^2(1 meter/100 cm)(1 meter/100 cm) = 1000/(100)^2 square meters
= 1000/10000 sq. meters = 1/10 sq. meters</span>
Answer:
12
Step-by-step explanation:
We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

Using this, we can substitute, and get:

Hope it helps!!
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)
5 inches by 7 inches.
To find the area of a parallelogram, you can just do base * height. In this case, all other options, once multiplied, equal 36 square inches, it's only 5 * 7 that equals 35 square inches.