<u>Answer:</u>
Broker1 with $66.
Broker2 with $54.25
Broker4 with $50
Broker3 with $47.5
Broker5 with $33.5
<u>Explanation :
</u>
Total number of shares Cindy have : 300
Market Price per share : $25
Total price for the shares : 300 
$25
= $7500
Now ,
<u>Case 1:
</u>
Commission provided by broker1 = 0.75%
Online fees provided by broker1 = $ 10
Total price provided by broker1= 
=$66.25
<u>Case 2: </u>
Commission provided by broker2= 0.5%
Online fees provided by broker2=$17
Total price provided by broker2= 
=$54.5
<u>Case 3:
</u>
Commission provided by broker 3= 0.6% for 100 0r few
Not applicable because the total shares are 300
For over 100 shares
Commission provided= 0.5%
Online fees = $10
Total price = 
=$47.5
<u>Case 4:
</u>
For more than 100 shares
Online fees for buying and sharing= $50
Total price = $50
<u>Case5 :
</u>
Commision for a share bought or sold = 0.05%
Online fees =$30
Total Price= 
=$33.75
Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and
The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:
The correct answer is the first answer choice.
Answer:
by multiplying all numbers seperatly by each other and adding those
Step-by-step explanation:
Looks like 
.
- If
, then 
- critical point at (0, 0). - If
, then 
- two critical points at 
and 
The latter two critical points occur outside of 
since 
so we ignore those points.
The Hessian matrix for this function is
The value of its determinant at (0, 0) is 
, which means a minimum occurs at the point, and we have 
.
Now consider each boundary:
- If
, then
which has 3 extreme values over the interval 
of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).
- If
, then
and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).
- If , then
which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).
- If
, then
which has 3 extreme values, but the previous cases already include them.
Hence 
has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).
Answer:
4
-16x+8
Step-by-step explanation:
4(x - 2)(x - 2) - 8 = 4( - 4x + 4) - 8 = 4 - 16x + 16 - 8 = 4 - 16x + 8.
