The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of 3.5% per hour.

How many hours does it take for the size of the sample to double?

Do not round any intermediate computations, and round your answer to the nearest hundredth.

Question

The number of bacteria in a certain population increases according to an exponential growth model, with a growth rate of  3.5% per hour.

How many hours does it take for the size of the sample to double?

Do not round any intermediate computations, and round your answer to the nearest hundredth.

amistre64 · Answer

2P = P e^(.035t)

anonymous · Answer

$$2=e^{.035t}$$
$$ln(2)=.035t$$
$$t=\frac{ln(2)}{.035}$$
$$t=19.804$$

anonymous · Answer

type looks weird.  is it my browser?

amistre64 · Answer

openstudy seems to have a bit of a drag in it today....

anonymous · Answer

i'll say!  i thought it was my connection, but i guess you are having problems as well.

amistre64 · Answer

i go to post and its almost as if the comp freezes....

anonymous · Answer

so it would be 20hrs