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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?
Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

4

Step-by-step explanation:

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Hi there,
This is the original inequality equation:
\frac{x}{x+1} \ \textless \  \frac{x}{x-1}
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
\frac{x}{x+1} = \frac{x}{x-1}
Now, we multiply both sides by x + 1:
x= \frac{x^{2} +x}{x-1}
Then, we multiply both sides by x - 1:
x^{2} -x= x^{2} +x
Next, we subtract x² from both sides:
-x=x
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1   </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1    </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0  </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1  </span><span>(Works in original inequality)
Therefore, the answer to your query is -1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
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Read 2 more answers
Write a division expression with a quotient that is: greater than 8÷0.001 less than 8÷0.001 between 8÷0.001 and 8÷110 does one b
Anna71 [15]

Answer:

  • 9÷0.001 is greater than 8÷0.001.
  • 7÷0.001 is less than 8÷0.001.
  • 8÷0.002 lie between 8÷0.001 and 8÷110.

Step-by-step explanation:

  • The division expression which is greater than 8÷0.001 is:

9÷0.001

Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.

so, the number whose numerator is greater than the other will result in the overall number to be greater.

  • The division expression which is less than 8÷0.001 is 7÷0.001.

Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.

  • The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.

Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.

similarly 8÷0.002 is smaller than 8÷0.001.





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3 years ago
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