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Airida [17]
4 years ago
5

The perimeter of a rectangular is 86 m. If the width were doubled and the length were increased by 22 m, the perimeter would be

166 m. What are the length and width of the rectangle?
Mathematics
1 answer:
Zina [86]4 years ago
3 0
Write them as system of equations:
x=length, y=width
2x+2y=86
4x+2y+22=166


when you solve, then x=length=7, y=width=36
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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
In the regular decagon shown, what is the measure of angle 1?
NeX [460]

Answer:

try 36 but im not quite sure

Step-by-step explanation:

im sry if im wrong have a good rest of your day :)

6 0
2 years ago
What's the value of x? (Hint: it's not 7) and please explain
tekilochka [14]

Hey there!

4x + 7 + 35 = 90°

4x + 42 = 90°

SUBTRACT 42 to BOTH SIDES

4x + 42 - 42 = 90 - 42

CANCEL out: 42 - 42 because it give you 0.

KEEP: 90 - 42 because it help solve for the x-value.

NEW EQUATION: 4x = 90 - 42

SIMPLIFY IT!
4x = 48°

DIVIDE 4 to BOTH SIDES

4x/4 = 48/4

CANCEL out: 4/4 because it give you 1

KEEP: 48/4 because it give you the x-value

NEW EQUATION: x = 48/4

SIMPLIFY IT!

x = 12

Therefore, your answer is: x = 12


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

8 0
2 years ago
The volume V (in cubic feet) of a right cylinder with a height of 6 feet and radius r (in feet) is given by V=6πr2 . Solve the f
Advocard [28]

Answer:

r=8 ft

Step-by-step explanation:

V/6π=r2

r=√v/6π

r=√1206 cubic feet/6π

r=8 ft

4 0
3 years ago
What’s is 13.75 of 2/5
ivanzaharov [21]

Answer:

5.5

Step-by-step explanation:

Of means multiply

13.75 * 2/5

27.5/5

5.5

3 0
3 years ago
Read 2 more answers
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