Can you put a picture of the full question please!
Answer:
Step-by-step explanation:
Given that a bacteria culture initially contains 100 cells and grows at a rate proportional to its size.
i.e. P' = kP where k = constant of proportionality
We separate variables and solve this Differential equation.
![\frac{dP}{dt} =kP\\\frac{dP}{P} =kdt\\ln P = kt+C\\P(t) = Ae^{kt}](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%20%3DkP%5C%5C%5Cfrac%7BdP%7D%7BP%7D%20%3Dkdt%5C%5Cln%20P%20%3D%20kt%2BC%5C%5CP%28t%29%20%3D%20Ae%5E%7Bkt%7D)
When t =0 P(0) = A = 100
So equatin is
![P(t) = 100e^{kt}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20100e%5E%7Bkt%7D)
to find k
When t=1, P =590
![P(t) =590= 100e^{k*1}\\e^k = 5.9 \\ k=ln 5.9 = 1.775](https://tex.z-dn.net/?f=P%28t%29%20%3D590%3D%20100e%5E%7Bk%2A1%7D%5C%5Ce%5Ek%20%3D%205.9%20%5C%5C%20k%3Dln%205.9%20%3D%201.775)
So
![P(t) = 100e^{1.775t}](https://tex.z-dn.net/?f=P%28t%29%20%3D%20100e%5E%7B1.775t%7D)
Answer: Your answer is 1/35 or 35
Step-by-step explanation:
80 dimes is equal to 800 cents
A=L*W
A=8.5*3.4
A=28.9 ft squared