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

- Algebra - These data represent the population of a certain city. Year Population...
- Algebra - 12. A city whose population was 39,350 in 1995 contained 46,750 people...
- math - In 1980, the population of a certain country was about 161 000. since ...
- college algebra HELP - The population of a city was 166 thousand at the begining...
- math - the population of Smallville in the year 1890 was 6250.assume the ...
- TRIG - the population of a certain city is 1.3 million people. if the population...
- College algebra - The population P of a city has been increasing at an annual ...
- pre calc - population of city has varied considederably in recent years. the ...
- college algebra - QUESTION 25 The populations (in thousands) of Pittsburgh, ...
- Algebra - Since 2000, world population in millions closely fits the exponential...

More Related Questions