Answer:
14.656%
Step-by-step explanation:
Data provided in the question:
Rate of return, r = 4% = 0.04
Risk aversion of A = 1.85
Standard deviation, σ = 24%
Now,
we have the relation
A = (E - r) ÷ σ²
E = expected return on portfolio
r = Risk free rate
on substituting the respective values, we get
1.85 = (E - 0.04) ÷ (0.24)²
or
0.0576 × 1.85 = (E - 0.04)
or
0.10656 + 0.04 = E
or
E = 0.14656 or
E = 0.14656 × 100% = 14.656%
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = 8; (-10; 6) ⇒ a = -10 and b = 6
subtitute
(x - (-10))² + (y - 6)² = 8²
Answer: (x + 10)² + (y - 6)² = 64
Answer:
C. 1:27
Step-by-step explanation:
a²/b²=1/9 => a=1 and b=3
a³/b³=1³/3³=1/27
C. 1:27
Answer:
Step-by-step explanation:
<h3>
The complete exercise is: " A circle has a radius of 6. An arc in this circle has a central angle of 330 degrees. What is the arc length?"</h3><h3>
</h3>
To solve this exercise you need to use the following formula to find the Arc lenght:
Where "C" is the central angle of the arc (in degrees) and "r" is the radius.
In this case, after analize the information given in the exercise, you can identify that the radius and the central angle in degrees, are:
Therefore, knowing these values, you can substitute them into the formula:
And finally,you must evaluate in order to find the Arc lenght.
You get that this is:
If the time she rode her bike is 24, then 24*3 would be the Whole time she was there. She was there for a total of 72 hours.
Subtract 24 from 72 because it's 1/3 and you need the other time.
You get 48.
You need to find 1/4 of 48, so you divide it by 4.
48/4 = 12.
She rides the train for 12 hours. This is 1/2 of a day, so your answer is:
She rides the train for 1/2 of a day.