Solution
a)
To find the exponential growth function, we apply the exponential growth formula which is
Where
Given that
Substitute the variables into the exponential growth formula
![\begin{gathered} 25100=23900(1+k)^5 \\ \text{Divide both sides by 23,900} \\ \frac{25100}{23900}=\frac{23900(1+k)^5}{23900} \\ 1.05021=(1+k)^5^{} \\ \sqrt[5]{1.05021}=1+k \\ 1.00984=1+k \\ \text{Collect like terms} \\ k=1.00984-1 \\ k=0.00984 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2025100%3D23900%281%2Bk%29%5E5%20%5C%5C%20%5Ctext%7BDivide%20both%20sides%20by%2023%2C900%7D%20%5C%5C%20%5Cfrac%7B25100%7D%7B23900%7D%3D%5Cfrac%7B23900%281%2Bk%29%5E5%7D%7B23900%7D%20%5C%5C%201.05021%3D%281%2Bk%29%5E5%5E%7B%7D%20%5C%5C%20%5Csqrt%5B5%5D%7B1.05021%7D%3D1%2Bk%20%5C%5C%201.00984%3D1%2Bk%20%5C%5C%20%5Ctext%7BCollect%20like%20terms%7D%20%5C%5C%20k%3D1.00984-1%20%5C%5C%20k%3D0.00984%20%5Cend%7Bgathered%7D)
Hence, the exponential growth function is
Hence, the exponential growth function is
b)
For the population of the city in 2022,
Substitute for t into the exponential growth function
Hence, the population is 2022 is 27700 (nearest hundred)
8+3 = 11.
4/2 = 1 and 1/2
Hopefully this is the stuff your looking for
Answer: 38.9
Step-by-step explanation:
Add all the numbers together and divide the sum by how many numbers there are.
Transpose the y into the left part of the equation and the 20 should be on the right
y= -20x
Answer:
The answer is
<h2>5.83 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
W (-3,-5) and T (2,-2)
The distance between them is
We have the final answer as
<h3>5.83 units to the nearest hundredth</h3>
Hope this helps you
