Lol I’m not sure but I’m logging in so it’s making me “answer”
Answer:
Step-by-step explanation:
Nope<3;p
<h2>Multiply 50 * 14 =700 so the answer is <em><u>700</u></em></h2><h2><em>Hope this helps!</em></h2>
Answer:
25.2 weeks until everyone on the planet is infected
Step-by-step explanation:
The number of infected people after t weeks has the following format:
![P(t) = P(0)(1+r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%281%2Br%29%5E%7Bt%7D)
In which P(0) is the initial number of infected people and r is the growth rate, as a decimal.
The number of infected people doubles every week
This means that ![P(1) = 2P(0)](https://tex.z-dn.net/?f=P%281%29%20%3D%202P%280%29)
So
![P(t) = P(0)(1+r)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%281%2Br%29%5E%7Bt%7D)
![2P(0) = P(0)(1+r)](https://tex.z-dn.net/?f=2P%280%29%20%3D%20P%280%29%281%2Br%29)
![1 + r = 2](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%202)
![r = 1](https://tex.z-dn.net/?f=r%20%3D%201)
So
![P(t) = P(0)*(2)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%2A%282%29%5E%7Bt%7D)
200-person town
This means that ![P(0) = 200](https://tex.z-dn.net/?f=P%280%29%20%3D%20200)
So
![P(t) = P(0)*(2)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20P%280%29%2A%282%29%5E%7Bt%7D)
![P(t) = 200*(2)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20200%2A%282%29%5E%7Bt%7D)
How long will it be until everyone on the planet is infected?
This is t for which P(t) = 7700000000[/tex]
So
![P(t) = 200*(2)^{t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20200%2A%282%29%5E%7Bt%7D)
![7700000000 = 200*(2)^{t}](https://tex.z-dn.net/?f=7700000000%20%3D%20200%2A%282%29%5E%7Bt%7D)
![2^{t} = \frac{7700000000}{200}](https://tex.z-dn.net/?f=2%5E%7Bt%7D%20%3D%20%5Cfrac%7B7700000000%7D%7B200%7D)
![\log{2^{t}} = \log{\frac{7700000000}{200}}](https://tex.z-dn.net/?f=%5Clog%7B2%5E%7Bt%7D%7D%20%3D%20%5Clog%7B%5Cfrac%7B7700000000%7D%7B200%7D%7D)
![t\log{2} = \log{\frac{7700000000}{200}}](https://tex.z-dn.net/?f=t%5Clog%7B2%7D%20%3D%20%5Clog%7B%5Cfrac%7B7700000000%7D%7B200%7D%7D)
![t = \frac{\log{\frac{7700000000}{200}}}{\log{2}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%7B%5Cfrac%7B7700000000%7D%7B200%7D%7D%7D%7B%5Clog%7B2%7D%7D)
![t = 25.2](https://tex.z-dn.net/?f=t%20%3D%2025.2)
25.2 weeks until everyone on the planet is infected