Homework Help: algebra 2/trig

Posted by Chris on Wednesday, February 18, 2009 at 12:02am.

The population of a city is p=2500 e^(kt) where t = 0 represents the year 2000. in 1945 the population was 1350. Find the value of k and use this result to predict the population in the year 2010.

algebra 2/trig - Reiny, Wednesday, February 18, 2009 at 12:14am
if the year 2000 matches t = 0, then
the year 1945 matches t = -55

so we have 1350 = 2500e^(-55k)

.54 = e^(-55k)
using natural logs,

-55k = ln(.54)
k = .011203384

so the equation is p = 2500e^(.011203384t)

in 2010 , t = 10
so
p = 2500E(.011203384*10)
= 2796
algebra 2/trig - Chris, Wednesday, February 18, 2009 at 12:21am
You are a god.

Answer this Question

Related Questions

college algebra HELP - The population of a city was 166 thousand at the begining...
algebra 1 - the population of a city can be modeled using the equation p=40,000x...
Alegbra - 12. A city whose population was 39,350 in 1995 contained 46,750 people...
Algebra - These data represent the population of a certain city. Year Population...
math - Suppose that the population of a town is described by P=0.16t^2=7.2t=100...
math - In 1980, the population of a certain country was about 161 000. since ...
algebra - (1) If the population of a city was 2 million in 1995 and growing at a...
math - the population of a southern city follows the exponential law. If the ...
math - In a particular small town, the population in 1995 was 1200. Ever since ...
math - In a particular small town, the population in 1995 was 1200. Ever since ...

For Further Reading

First Name:
School Subject:
Answer: