Answer:
-5x^3 -10x^2
Step-by-step explanation:
(x^2 *(x+2))(-5)
Apply the distributive property
(x^2 x + x^2*2)(-5)
Multiply x^2 by x by adding exponents
(x^3+x^2 *2)(-5)
Apply the distributive property
(x^3 + 2x^2)(-5)
-5x^3 -10x^2
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)
Hi there!
Answer:
The temperature at lunchtime is 0 degrees Celsius.
Step-by-step explanation:
This is because we started at -2 and when we add 2 that brings us back at 0 (or neutral).
<u>Hope this helps and please mark brainliest. Have a great day!</u>
Answer:
Right Tail
P(x>3.9)= 0.108
Step-by-step explanation:
In excel, type =NORM.DIST(3.9, 3.7, 0.162, TRUE).
Answer: 11
Step-by-step explanation:
5 + k If k is equal to 6 then input 6 in for k and solve.
5 + 6 = 11