Given that the revenue equation is

and the cost equation is

Part A:
At break-even the cost is equal to the revenue.
Thus, the algebraic equation needed to determine when the company will break even is given by

Part B:
The solution to part A is given as follows:

Part C:
<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

Part D:
</span>The solution to part C is given as follows:

Part E:
The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.
Answer:
Step-by-step explanation:
a
We have a
number line as indicated in the figure above. From this figure we know that the <em>x-values</em> <em>increase f</em><em>rom left to right</em>. So we need to write the solution<span> that matches the previous graph. Taking a look on the graph we see that

begins in -3 and closes in 8, that is,

<em>takes values from -3 to 8</em>. In a mathematical language this is given by
the following statement:
</span>
![x \in [-3,8]](https://tex.z-dn.net/?f=x%20%5Cin%20%5B-3%2C8%5D)
<span>
</span>
Answer:
r = 3.7 cm
Step-by-step explanation:
19.02 = 1/2π(2radius) + diameter
expanding:
19.02 = 1/2(3.14)(2r) + 2r
19.02 = 3.14r + 2r = 5.14r
r = 19.02/5.14 = 3.7 cm