Answer:
there will be 200 ants per anteater after 5.78 weeks.
Explanation:
As the question is not complete, the first part is missing from which the population of ants at any given time is calculated as
.
At the start t=0, y=17
now the equation of population is given as
![y=a_1e^{b_1t}](https://tex.z-dn.net/?f=y%3Da_1e%5E%7Bb_1t%7D)
Here a1=17 for calculation of b1 using the doubling time of 3.6 weeks.
![y=a_1e^{b_1t}\\34=17e^{b_1*3.6}\\2=e^{b_1*3.6}\\b_1=ln(2)/3.6\\b_1=0.1925 week^{-1}](https://tex.z-dn.net/?f=y%3Da_1e%5E%7Bb_1t%7D%5C%5C34%3D17e%5E%7Bb_1%2A3.6%7D%5C%5C2%3De%5E%7Bb_1%2A3.6%7D%5C%5Cb_1%3Dln%282%29%2F3.6%5C%5Cb_1%3D0.1925%20week%5E%7B-1%7D)
So the equation is given as ![y=17e^{0.19t}](https://tex.z-dn.net/?f=y%3D17e%5E%7B0.19t%7D)
Now by using the equation
![\frac{200}{1}=\frac{400e^{0.56t}}{17e^{0.19t}}\\200*17=400e^{0.56t-0.19t}\\t=\frac{\ln \left(\frac{17}{2}\right)\cdot \:100}{37}\\t=5.78](https://tex.z-dn.net/?f=%5Cfrac%7B200%7D%7B1%7D%3D%5Cfrac%7B400e%5E%7B0.56t%7D%7D%7B17e%5E%7B0.19t%7D%7D%5C%5C200%2A17%3D400e%5E%7B0.56t-0.19t%7D%5C%5Ct%3D%5Cfrac%7B%5Cln%20%5Cleft%28%5Cfrac%7B17%7D%7B2%7D%5Cright%29%5Ccdot%20%5C%3A100%7D%7B37%7D%5C%5Ct%3D5.78)
So there will be 200 ants per anteater after 5.78 weeks.
There mind and nervous systems help that hpoe this helps i mean hope*
"Nowadays parents have lots of choices for their children's healthcare." That sentence is not written using academic voice.
A. The Cabinet is the group that advised the President of the United States.