Posted by **Anonymous** on Thursday, November 15, 2012 at 2:45pm.

A population grows exponentially. If the population is 0.5sqrt(e) at one year and 0.5e at two years, what is it at 4 years?

- Math Calculus Help -
**Steve**, Thursday, November 15, 2012 at 3:57pm
we know that

p = ae^kt

using the known values,

√e/2 = ae^k

e/2 = ae^2k

divide to get

(e/2) / (√e/2) = e^k

√e = e^k

so, k = 1/2

now, we see that

√e/2 = ae^(1/2)

so a = 1/2

p(t) = 1/2 e^(t/2)

p(4) = 1/2 e^2

## Answer this Question

## Related Questions

- precalculus - the population of a country is 65 millions if it grows ...
- calculus - The population of a country was 8.4 million people in 2000. Three ...
- Calculus - The population of a region is growing exponentially. There were 40 ...
- Math - A city has a population of 30,000 people. Suppose that each year the ...
- math - 1. The world population in 1992 is 5.42 billion. If its population ...
- math - The world population in 1992 is 5.42 billion. If its population doubled ...
- math - A native wolf species has been reintroduced into a national forest. ...
- Calculus - The rate of growth of a particular population is given by dP/dt=50t^2...
- college algebra - Suppose that the Russian population is declining by 0.48% each...
- HS Calculus/math - suppose that in any given year, the population of a certain ...