SOLUTION: A population grows exponentially at a rate of 2.65% per year according to the expression P=Poe^0.0265t , where Po is the initial population and P is the population after t years.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A population grows exponentially at a rate of 2.65% per year according to the expression P=Poe^0.0265t , where Po is the initial population and P is the population after t years.      Log On


   



Question 1138904: A population grows exponentially at a rate of 2.65% per year according to the expression
P=Poe^0.0265t
, where Po is the initial population and P is the population after t years. How many years will it take for the population to quadruple?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+P+=+P%5B0%5D%2Ae%5E%28+.0265t+%29+
+P+=+4P%5B0%5D+
+4P%5B0%5D+=+P%5B0%5D%2Ae%5E%28+.0265t+%29+
+4+=+e%5E%28+.0265t+%29+
+ln%284%29+=+.0265t+
+1.38629+=+.0265t+
+t+=+52.313+ yrs
--------------------------
check:
+4+=+e%5E%28+.0265%2A52.313+%29+
+4+=+e%5E1.3863+
+4+=+4+
OK
check the math