SOLUTION: Help... The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original po

Question 50505: Help...
The population P of a certain culture is expected to be given by a model P=100e^rt where r is a constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 200 in 3 days?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
P=100e^rt
200=100e^3r
2=e^3r
Take the natural log to get:
3r=ln2
3r=0.69314...
r=0.23105
Cheers,
stan H.
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