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Studentka2010 [4]

3 years ago

6

The CEO of Apex Corporation exercised his option to purchase 2,085 shares of Apex stock at $12 per share. He immediately sold th

e shares for $41 per share. If broker fees came to $3,300, how much money did he realize from the purchase and sale of the shares?

1 answer:

kipiarov [429]3 years ago

8 0

Answer:

4

Step-by-step explanation:

You might be interested in

A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What

gizmo_the_mogwai [7]

Answer:

1) The slope of the line segment AB is $\frac{4}{3}$ .

2) The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB is $M(x,y) = (5,7)$ .

4) The slope of a line perpendicular to line segment AB is $-\frac{3}{4}$ .

Step-by-step explanation:

1) Let $A(x,y) = (2,3)$ and $B(x,y) = (8,11)$ . From Analytical Geometry, we get that slope of AB ( $m_{AB}$ ), dimensionless, is determined by the following formula:

$m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}$ (1)

If we know that $x_{A} = 2$ , $x_{B} = 8$ , $y_{A} = 3$ and $y_{B} = 11$ , the slope of the line segment is:

$m_{AB} = \frac{11-3}{8-2}$

$m_{AB} = \frac{4}{3}$

The slope of the line segment AB is $\frac{4}{3}$ .

2) The length of the line segment AB ( $l_{AB}$ ), dimensionless, can be calculated by the Pythagorean Theorem:

$l_{AB} =\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}$ (2)

If we know that $x_{A} = 2$ , $x_{B} = 8$ , $y_{A} = 3$ and $y_{B} = 11$ , the length of the line segment AB is:

$l_{AB} = \sqrt{(8-2)^{2}+(11-3)^{2}}$

$l_{AB} = 10$

The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB are, respectively:

$x_{M} = \frac{x_{A}+x_{B}}{2}$ (3)

$y_{M} = \frac{y_{A}+y_{B}}{2}$ (4)

If we know that $x_{A} = 2$ , $x_{B} = 8$ , $y_{A} = 3$ and $y_{B} = 11$ , the coordinates of the midpoint of the line segment AB are, respectively:

$x_{M} = \frac{2+8}{2}$

$x_{M} = 5$

$y_{M} = \frac{3+11}{2}$

$y_{M} = 7$

The coordinates of the midpoint of the line segment AB is $M(x,y) = (5,7)$ .

4) From Analytical Geometry we can determine the slope of a line perpendicular to line segment AB as a function of the slope of the line segment:

$m_{\perp} = -\frac{1}{m_{AB}}$ (5)

If we know that $m_{AB} = \frac{4}{3}$ , then the slope of a line perpendicular to AB is:

$m_{\perp} = - \frac{1}{\frac{4}{3} }$

$m_{\perp} = -\frac{3}{4}$

The slope of a line perpendicular to line segment AB is $-\frac{3}{4}$ .

7 0

3 years ago

What is volume of a cylinder with base area 64πcm2 and a height equal to twice the radius? Give your answer in terms of π

bagirrra123 [75]

Answer:

1024π

Step-by-step explanation:

<em>Took a quiz, got this answer right.</em>

<u>Here are the steps anyways:</u>

64π cm² is the base area

The height is equal to twice the radius

<h3>Volume of a Cylinder: V=B×h/V=πr²×h</h3>

1. Find radius: √64 (Which is 8)

2. Double the radius, 8×2=16

3. Multiply 16 and 64π, 16×64π=1024π

hopefully this was understandable, first time answering a question

3 0

2 years ago

32 pages to 28 pages percent of change

pychu [463]

Answer:

Youre answer is 12.5%

Step-by-step explanation:

Percent change is calculated as

Change original×100%

Change =32−28=4 pages

=4

1328×100%=1008%=

And then your final answer:

12.5%

Glad I could help, hv a good day :3

4 0

3 years ago

If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of t

Goshia [24]

Answer:

nub 5

Step-by-step explanation:

4 0

2 years ago

How many fluid ounces in 8 ounces and 5 cups?

xenn [34]

<span>48 fluid ounces is the right answer</span>

3 0

3 years ago