The answer to the interest rate is 1%
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
Answer:
X = 45
Step-by-step explanation:
90 + X + A = 180 (angles of a triangle sum to 180)
90 + X + 45 = 180
X = 45
Answer:
y = − 1
Hope this helps!
Step-by-step explanation:
Alright so this is our equation:
y − 3 = 2 ( x − 1 )
We will substitute:
x = − 1
So now our equation looks like this:
y − 3 = 2 ( −1 − 1 )
Now we will get rid of the parentheses:
y − 3 = − 2 − 2
Solve the left side:
y − 3 = − 4
Now add 3 on both sides to find out what y is:
y − 3 = − 4
+3 +3
Add:
y = − 1
Yay! We found our answer! Nice job everyone!