A) The average market price is (12 + 8 + 10 + 13 + 14 + 8) / 6 = $10.83
b)
The total amount spent was: 12*8 + 8*12 + 10*10 + 13*7 + 14*7 + 8*12 =
$577. The total number of shares was: 8 + 12 + 10 + 7 + 7 + 12 = 56.
Therefore the average price per share was $577 / 56 shares =
$10.30/share.
c) Since the cost per share in June was $12, and her average cost was $10.30, dollar-cost averaging worked in her favor since her average cost was lower.
4t<span>²
= 4(3)</span><span>²
= 4 x 9
= 36</span>
Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.
Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:
sin(angle)= opposite/hypotenuse:
sin(30) = n/40
40sin30=n
n=20km
Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.
We know that the angle opposite x is 45 degrees.
So, we will use sin to solve for x:
sin(angle)= opposite/hypotenuse
sin45= x/100
100sin45=x
x=70.711km
But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:
30km + 20km+ 70.711km = 120.711km
The area for semi circle is: (pi)(r^2)/2
A= 3.142 x (8.2)^2 / 2
A= 110.8 cm^2
12 x 12 = 144
20 x 12 = 240
=384
ANSWER: 384
