Answer:
![y = Ke^{5.2t}](https://tex.z-dn.net/?f=y%20%3D%20Ke%5E%7B5.2t%7D)
Exponential growth
Step-by-step explanation:
We can solve this differential equation by the separation of variables method.
We have that:
![\frac{dy}{dt} = 5.2y](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%20%3D%205.2y)
So
![\frac{dy}{y} = 5.2dt](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7By%7D%20%3D%205.2dt)
Integrating both sides
![\ln{y} = 5.2t + K](https://tex.z-dn.net/?f=%5Cln%7By%7D%20%3D%205.2t%20%2B%20K)
In which K is the value of y when t = 0.
We apply the exponential to both sides, so:
![y = Ke^{5.2t}](https://tex.z-dn.net/?f=y%20%3D%20Ke%5E%7B5.2t%7D)
This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.
($9.20) 2 = $18.40 ...................
Answer:
multiply by 5
Step-by-step explanation:
in order to get t by itself, you must do the incerverse operation of division, which is multiplication
5(t/5)=5(2.9)
the 5 crosses out and you get
t=14.5
Answer:
B or D
Step-by-step explanation: