SOLUTION: The population of a small town is modeled by the equation P = 1850e0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The population of a small town is modeled by the equation P = 1850e0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (      Log On


   

Question 1152997: The population of a small town is modeled by the equation
P = 1850e0.5t
where t is measured in years. In approximately how many years will the town's population reach 20,000? (Round your answer to two decimal places.)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
P = 1850e0.5t
P = 1850e^(0.5t) OR P+=+1850e%5E%280.5t%29


The question: Let P equal 20000, and solve for t.
ln%281850%29%2Bln%28e%5E%280.5t%29%29=ln%2820000%29
0.5t=ln%2820000%29-ln%281850%29

t=2%28ln%2820000%29-ln%281850%29%29----------Compute this.