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Answer:
(x, y, z) = (1/3, 2/3, 1)
Step-by-step explanation:
We can use the first equation to write an expression for x that can be substituted into the other equations.
x = 1 -y
2(1 -y) -y +z = 1 ⇒ -3y +z = -1
(1 -y) +2y +z = 8/3 ⇒ y +z = 5/3
Subtracting the first of these equations from the second gives ...
(y +z) -(-3y +z) = (5/3) -(-1)
4y = 8/3
y = 2/3
z = 5/3 -y = 1
x = 1 -y = 1/3
The solution is (x, y, z) = (1/3, 2/3, 1).
Roberto has twice the mass his sister Mary has but runs at the same velocity as Mary. Will his kinetic energy be twice as much?
(Mary has a mass of 40 kg and sprints at 1 m/s)
Can someone help me with this (sorry I don’t have enough point for a question and no one has answered this and I’m confused)
For this case we have to:
The faces of a brick are rectangular in shape. When the brick is positioned in space, the area it occupies will be given by the area of one of its faces. By definition, the area of a rectangle is given by:
Where:
a: It is the length of the rectangle
b: It is the width of the rectangle
According to the data we have to:
Thus, the area that the brick would cover is:
Answer:
Answer:
Step-by-step explanation:
Previous concepts
The Capital Asset Pricing Model (CAPM) is a concept that "analyze the relationship between risk of any type and the definition of expected return about the assets".
By definition the Market risk premium is defined as "the difference between the average return and the return on a risk-free".
The value of represent an adimensional number that allows to measure if we create more/low risk on any investment.
Solution to the problem
Assuming that we can use the capital asset pricing model we can calculate the market risk premium (MRP) with the following formula:
Where:
ER= Expected return = 12.25 %
RFR= Risk free rate= 5.00%
So then if we replace we got: