The general form of exponential function ⇒⇒
![a * b^x](https://tex.z-dn.net/?f=a%20%2A%20b%5Ex)
Where: a is the initial value and b is the rate
b > 1 ⇒⇒ exponential growth or exponential increase
b < 1 ⇒⇒ exponential decay or exponential decrease
Given: The initial population = 820
The annual rate = 23% = 0.23
The total ration between the adjacent years = 1+0.23 = 1.23
So, the exponential function to model this population is
![f(x)= 820*1.23^x](https://tex.z-dn.net/?f=f%28x%29%3D%20820%2A1.23%5Ex)
After 3 years ⇒⇒⇒ x = 3
∴
![f(x) = 820 * 1.23^3 = 1,525.91](https://tex.z-dn.net/?f=f%28x%29%20%3D%20820%20%2A%201.23%5E3%20%3D%201%2C525.91)
≈ 1,526
The correct answer is:
; 1,526
Answer:
yes I can help you on that
ANSWER
![C=22\pi \: m](https://tex.z-dn.net/?f=C%3D22%5Cpi%20%5C%3A%20m)
EXPLANATION
The circumference of a circle is calculated using the formula:
![C=2\pi \: r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20%5C%3A%20r)
where r=11 meters is the radius of the circle.
Let us substitute the radius into the formula to obtain,
![C=2\pi \: \times 11](https://tex.z-dn.net/?f=C%3D2%5Cpi%20%5C%3A%20%20%5Ctimes%2011)
This simplifies to:
![C=22\pi](https://tex.z-dn.net/?f=C%3D22%5Cpi)
When we substitute
![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
We get
![C=22(3.14) = 69.08m](https://tex.z-dn.net/?f=C%3D22%283.14%29%20%3D%2069.08m)
to the nearest hundredth.
One inch. There are 2.54 cm in an inch.