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2 years ago

Find the other endpoint of the line segment if:

Mathematics

1 answer:

Vesna [10]2 years ago

5 0

Answer:

Step-by-step explanation:

Coordinates of midpoint are ( $\frac{x_{1} +x_{2} }{2}$ , $\frac{y_{1} +y_{2} }{2}$ )

( - 5 + x ) / 2 = - 10 ⇒ x = - 15

( 4 + y ) / 2 = - 6 ⇒ y = - 16

<em>( - 15, - 16 )</em>

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Desreumaux Inc's stock has an expected return of 12.25%, a beta of 1.25, and is in equilibrium. If the risk-free rate is 5.00%,

zhenek [66]

Answer:

$MRP=\frac{12.25\% -5.00\%}{1.25}=5.8 \%$

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 $\beta$ 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:

$MRP= \frac{ER -RFR}{\beta}$

Where:

ER= Expected return = 12.25 %

RFR= Risk free rate= 5.00%

$\beta = 1.25$

So then if we replace we got:

$MRP= \frac{12.25\% -5.00\%}{1.25}=5.8 \%$

5 0

3 years ago

What's the position of nine in the number 932,805

zheka24 [161]

It would be in the
Hundred thousands

5 0

3 years ago

Read 2 more answers

QUICK I NEED HELP!!!!!!

DerKrebs [107]

Answer:

Step-by-step explanation:

Mode is simply the number that is repeated in the data.

4 0

3 years ago

Lorenzo built a rectangular brick patio. He is putting a stone border around the patio. The patio is 12 feet long and 14 feet wi

anzhelika [568]

To find the perimeter of Lorenzo's patio, you need to understand that perimeter is a measurement of distance around a sided figure.

We know the side lengths are 12 feet, 14 feet, 12 feet, and 14 feet because it is a rectangle.

Add all these together to find the total distance around.

12 + 12 + 14 + 14 or (12 x 2) + (14 x 2) = 52 feet

The perimeter of Lorenzo's patio is 52 feet.

3 0

3 years ago

Consider the following sets of matrices: M2(R) is the set of all 2 x 2 real matrices; GL2(R) is the subset of M2(R) with non-zer

defon

Answer:

Step-by-step explanation:

REcall the following definition of induced operation.

Let * be a binary operation over a set S and H a subset of S. If for every a,b elements in H it happens that a*b is also in H, then the binary operation that is obtained by restricting * to H is called the induced operation.

So, according to this definition, we must show that given two matrices of the specific subset, the product is also in the subset.

For this problem, recall this property of the determinant. Given A,B matrices in Mn(R) then det(AB) = det(A)*det(B).

Case SL2(R):

Let A,B matrices in SL2(R). Then, det(A) and det(B) is different from zero. So

$\text{det(AB)} = \text{det}(A)\text{det}(B)\neq 0$ .

So AB is also in SL2(R).

Case GL2(R):

Let A,B matrices in GL2(R). Then, det(A)= det(B)=1 is different from zero. So

$\text{det(AB)} = \text{det}(A)\text{det}(B)=1\cdot 1 = 1$ .

So AB is also in GL2(R).

With these, we have proved that the matrix multiplication over SL2(R) and GL2(R) is an induced operation from the matrix multiplication over M2(R).

7 0

3 years ago