Answer:
−
1.52
Step-by-step explanation:
3 - 8 = x^3 + x
The standard form of a parabole is: (y-k) = a(x-h)², Where (h , k) are the coordinates of the vertex
In the example Vertex (3,1) ,
so (y-1) = a(x-3)². (a)
Now let's calculate a. The y-intercept coordinates(0 , 10), Replace in (a) x by 0 & y by 10:
(10-1) = a(0 - 3)²
9 = 9a and a=1
<u />The equation becomes : y-1 = (x-3)², Expand (y-1) = x²-6x+9
<u />and finally y = x² - 6x +10 (ANSWER C)
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs. Notice that:

In this case you have the following expression given in the exercise:

Then you can follow the steps shown below in order to solve it:
Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.
(As you can notice, both are negative, therefore you know that the product will be positive).
Then, you get that the result is the following:

Answer:
y = 0.80
Step-by-step explanation:
Given:
- The expected rate of return for risky portfolio E(r_p) = 0.18
- The T-bill rate is r_f = 0.08
Find:
Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.
What is the proportion y?
Solution:
- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:
E(r_c) = y*E(r_p) + (1 - y)*r_f
y*E(r_p) + (1 - y)*r_f = 0.16
- Re-arrange for proportion y:
y = ( 0.16 - r_f ) / (E(r_p) - r_f)
- Plug in values:
y = ( 0.16 - 0.08 ) / (0.18 - 0.08)
y = 0.80
- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.
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