Given:
The number of alligators in a wildlife is given by the function
![f(x)=3450(1.04)^{x+1}](https://tex.z-dn.net/?f=f%28x%29%3D3450%281.04%29%5E%7Bx%2B1%7D)
To find:
The average growth rate of change from the 4th year to the 7th year.
Solution:
We have,
![f(x)=3450(1.04)^{x+1}](https://tex.z-dn.net/?f=f%28x%29%3D3450%281.04%29%5E%7Bx%2B1%7D)
For x=4, we get
![f(4)=3450(1.04)^{4+1}](https://tex.z-dn.net/?f=f%284%29%3D3450%281.04%29%5E%7B4%2B1%7D)
![f(4)=3450(1.04)^{5}](https://tex.z-dn.net/?f=f%284%29%3D3450%281.04%29%5E%7B5%7D)
![f(4)=4197.4525](https://tex.z-dn.net/?f=f%284%29%3D4197.4525)
For x=7, we get
![f(7)=3450(1.04)^{7+1}](https://tex.z-dn.net/?f=f%287%29%3D3450%281.04%29%5E%7B7%2B1%7D)
![f(7)=3450(1.04)^{8}](https://tex.z-dn.net/?f=f%287%29%3D3450%281.04%29%5E%7B8%7D)
![f(7)=4721.5632](https://tex.z-dn.net/?f=f%287%29%3D4721.5632)
Now, the average growth rate of change from the 4th year to the 7th year is
![m=\dfrac{f(7)-f(4)}{7-4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7Bf%287%29-f%284%29%7D%7B7-4%7D)
![m=\dfrac{4721.5632-4197.4525}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4721.5632-4197.4525%7D%7B3%7D)
![m=\dfrac{524.1107}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B524.1107%7D%7B3%7D)
![m\approx 174.70](https://tex.z-dn.net/?f=m%5Capprox%20174.70)
Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.
Show an example so i can help!
Answer:
1032
Step-by-step explanation:
(2^5-8^2)^2+2^3 subsitute
(32-64)^2+2^3
(-32)^2+2^3
1024+8
1032
Answer:
approx. 23
Step-by-step explanation:
4+9+10=23
Answer:
x = 56°
Step-by-step explanation:
because it was supposed to be