Answer:
y = m x + b equation of a straight line
m m' = -1 condition for perpendicular lines
If y = 4 x - 7 then m = 4 so m' = -.25
Y = -.25 X + A we need to find A
A = Y + .25 * 8 = 2 + 2 = 4
Y = -.25 X + 4
Check:
2 = -.25 * 8 + 4 = -2 + 4 = 2
Answer:
Four more than half a number is twelve
Step-by-step explanation:
Four more than half a number is twelve
<span>The list of
scores will be: 30 60 63 65 65 67. To get the median, you have to
arrange the scores from lowest to highest. The middle number is the median. In
this, case there are two numbers in the middle so you have to add the two and
then divide by two.</span>
<span>Therefore, 63 +
65 = 128 / 2 = 64.</span>
Answer:
x = 15/8.
Step-by-step explanation:
Create an equation, let the number be x:
2/3 * x = 5/4
Now we multiply both sides by 3/2
3/2 * 2/3 x = 5/4 * 3/2
x = 15/8.
<h2>
The required "option D) 3.09" is correct.</h2>
Step-by-step explanation:
Given,
A portfolio has a E[r] = 12 %, and
A standard deviation (
) = 18 %
We know that,
Specify utility by U = E(r) – 0.5A
U = 0.12– 0.5(A) × 
= 0.12 - 0.5 × A × 0.0162
In order for the risky portfolio to be preferred to bills,
The following condition must have:
0.12 – 0.0162A > 0.07
⇒ A <
= 3.09
A must be less than 3.09 for the risky portfolio to be preferred to bills.
Thus, the required "option D) 3.09" is correct.