Answer:
x= 12
Step-by-step explanation:
2(x-7) = 10
Distribute the 2. 2x-14 = 10
Add the 14 onto both sides to cancel it out on the original side and following the rules- the same must be done to the other side. 2x-14 (+14) = 10+14 -----> 2x = 24
Divide both sides by 2 to get the X alone. 2x/2 = 24/2 ---------> x= 12
The third one because each banner costs $16 and x is the number of banners, $32 is just a one time fee so there is no x.
That would be A, its the only on where all the dots line with the numbers given
Answer:
The population in 40 years will be 1220.
Step-by-step explanation:
The population of a town grows at a rate proportional to the population present at time t.
This means that:
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.
The initial population of 500 increases by 25% in 10 years.
This means that ![P(0) = 500, P(10) = 1.25*500 = 625](https://tex.z-dn.net/?f=P%280%29%20%3D%20500%2C%20P%2810%29%20%3D%201.25%2A500%20%3D%20625)
We apply this to the equation and find t.
![P(t) = P(0)e^{rt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29e%5E%7Brt%7D)
![625 = 500e^{10r}](https://tex.z-dn.net/?f=625%20%3D%20500e%5E%7B10r%7D)
![e^{10r} = \frac{625}{500}](https://tex.z-dn.net/?f=e%5E%7B10r%7D%20%3D%20%5Cfrac%7B625%7D%7B500%7D)
![e^{10r} = 1.25](https://tex.z-dn.net/?f=e%5E%7B10r%7D%20%3D%201.25)
Applying ln to both sides
![\ln{e^{10r}} = \ln{1.25}](https://tex.z-dn.net/?f=%5Cln%7Be%5E%7B10r%7D%7D%20%3D%20%5Cln%7B1.25%7D)
![10r = \ln{1.25}](https://tex.z-dn.net/?f=10r%20%3D%20%5Cln%7B1.25%7D)
![r = \frac{\ln{1.25}}{10}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5Cln%7B1.25%7D%7D%7B10%7D)
![r = 0.0223](https://tex.z-dn.net/?f=r%20%3D%200.0223)
So
![P(t) = 500e^{0.0223t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20500e%5E%7B0.0223t%7D)
What will be the population in 40 years
This is P(40).
![P(t) = 500e^{0.0223t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20500e%5E%7B0.0223t%7D)
![P(40) = 500e^{0.0223*40} = 1220](https://tex.z-dn.net/?f=P%2840%29%20%3D%20500e%5E%7B0.0223%2A40%7D%20%3D%201220)
The population in 40 years will be 1220.
Answer:
32ft of chain divided by 14ft pieces... that's two pieces of chain
Step-by-step explanation: