SOLUTION: The population North Oblivion is now 1400 people and is known to double every 12 years. (a) Write a function that gives the population, P(t), after t years. (b) How many years wi

Algebra ->  Trigonometry-basics -> SOLUTION: The population North Oblivion is now 1400 people and is known to double every 12 years. (a) Write a function that gives the population, P(t), after t years. (b) How many years wi      Log On


   



Question 813642: The population North Oblivion is now 1400 people and is known to double every 12 years.
(a) Write a function that gives the population, P(t), after t years.
(b) How many years will it take for the population to reach 4200? (A formula will suffice.)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
The population North Oblivion is now 1400 people and is known to double every 12 years.
Q%28t%29+=Q%280%29e%5E%28kt%29+
+2+=+e%5E%2812k%29
ln2/12 = k = .0578
a) Q%28t%29+=1400e%5E%28.0578t%29+
b) 4200%2F1400+=+e%5E%28.0578t%29