Answer:
7*7*7
Step-by-step explanation:
7:6, unless it wants it simplified to decimals
12 students/1 teacher = 276 students/x teachers
Students are on top of the ratio and teachers are on the bottom of the ratio. It must remain the same on both sides of the equation.
12 x = 276
divide by 12
x =23
-52
Step-by-step explanation:
8.4-2.22+12.4-4.22=
=32-44+48-88=
=-132+80=
=-52
{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:
![A(t) = A(0)(3)^{(\frac{t}{n})}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%283%29%5E%7B%28%5Cfrac%7Bt%7D%7Bn%7D%29%7D)
In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that
. So
![A(t) = A(0)(3)^{(\frac{t}{n})}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%283%29%5E%7B%28%5Cfrac%7Bt%7D%7Bn%7D%29%7D)
![A(t) = 2463(3)^{(\frac{t}{12})}](https://tex.z-dn.net/?f=A%28t%29%20%3D%202463%283%29%5E%7B%28%5Cfrac%7Bt%7D%7B12%7D%29%7D)
Approximate the population of the town 5 years from now.
This is A(5). So
![A(t) = 2463(3)^{(\frac{t}{12})}](https://tex.z-dn.net/?f=A%28t%29%20%3D%202463%283%29%5E%7B%28%5Cfrac%7Bt%7D%7B12%7D%29%7D)
![A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8](https://tex.z-dn.net/?f=A%285%29%20%3D%202463%283%29%5E%7B%28%5Cfrac%7B5%7D%7B12%7D%29%7D%20%3D%203892.8)
Rounding to the nearest whole number, 3893 residents.