SOLUTION: The population of a city is given by P=25000e^kt where t is the time in years with t=0 corresponding to 1990. In 1945 the population was 3350. Find the value of k and and use the r

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The population of a city is given by P=25000e^kt where t is the time in years with t=0 corresponding to 1990. In 1945 the population was 3350. Find the value of k and and use the r      Log On


   

Question 1180181: The population of a city is given by P=25000e^kt where t is the time in years with t=0 corresponding to 1990. In 1945 the population was 3350. Find the value of k and and use the results to predict the population in the year 2010.
A)K=?
B)Population in 2010=?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
t=0 for 1990 year
t=-55 for year 1945

3350=25000e%5E%28-55k%29
e%5E%28-55k%29=3350%2F25000
e%5E%28-55k%29=0.134
-55kln%28e%29=ln%280.134%29
-55k=-2.0099
k=2.0099%2F55
k=0.0365
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highlight_green%28P=25000e%5E%280.0365t%29%29