Using the profit function, it is found that:
a) She earns $36 after 25 years.
b) The function was shifted right 4 units and up 1 units.
<h3>What is the profit function?</h3>
The profit, in x years after 2015, is given by:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
Item a:
She earns $36 after x years, considering x for which p(x) = 36, hence:
![p(x) = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=p%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![36 = 12\sqrt[3]{x + 2}](https://tex.z-dn.net/?f=36%20%3D%2012%5Csqrt%5B3%5D%7Bx%20%2B%202%7D)
![\sqrt[3]{x + 2} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%3D%203)
![(\sqrt[3]{x + 2})^3 = 3^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%29%5E3%20%3D%203%5E3)


She earns $36 after 25 years.
Item b:
The new function is:
![h(x) = 12\sqrt[3]{x - 2} + 1](https://tex.z-dn.net/?f=h%28x%29%20%3D%2012%5Csqrt%5B3%5D%7Bx%20-%202%7D%20%2B%201)
At the domain, we have that
, that is,
, hence it was shifted right 4 units.
At the range, we have that
, hence it was shifted up 1 unit.
You can learn more about functions at brainly.com/question/24380382
Given problem:
.
Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.
So, we need to simplify 8 over 2 first.
If we divide 8 by 2, we get 4.
Now, let us work on 10's and their powers.
is being divided by 
We can apply quotient rule of exponents remaining part.
According to quotient rule of exponents, 
If we apply same rule, we need to subtract exponents of 10's.

If we simplify exponent part -4-(-2), it will give us -4+2 =-2.
So, 
And final answer would be
.
A because the > symbol means greater so if n is on the open side that means its greater
Should we simplify or solve for m...?
Answer:
200 mph
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Plane a: 400mph
Plane b: x mph
2x=400
x=200
(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥
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