<span>Simplifying
X + 12 = 30
Reorder the terms:
12 + X = 30
Solving
12 + X = 30
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + X = 30 + -12
Combine like terms: 12 + -12 = 0
0 + X = 30 + -12
X = 30 + -12
Combine like terms: 30 + -12 = 18
X = 18
Simplifying
X = 18</span>
Answer:
total amount of interest is $4800.00
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ANSWER
See attachment.
EXPLANATION
The given function is
![y = \sqrt[3]{x + 1} - 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20%20-%202)
The parent function is
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.
The graph of this function is shown in the attachment.
Answer:
<em>If more than 134 articles are produced and sold, the firm will have positive profits and shoule start production</em>
Step-by-step explanation:
Cost, Revenue, and Profit Function
The cost function C(x) is given by

where x is the number of produced products.
The revenue function is

With both equations, we can know the profit function as



For the firm to have positive profits, it has to produce x articles with the condition

Or, equivalently

Solving for x

Thus

This means that if more than 134 articles are produced and sold, the firm will have positive profits and shoule start production
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