SOLUTION: Suppose a population of initial size 100 grows at the rate of 8% per year forever. What is the size of the population at the end of year 1? What is the size of the population at

Question 163468: Suppose a population of initial size 100 grows at the rate of 8% per year forever.
What is the size of the population at the end of year 1?
What is the size of the population at the end of year 2?
What is the size of the population at the end of year 3?
What is the size of the population at the end of year n (for any integer n)?
What algebraic equation would you need to solve to find the number of years x that it would take for our population to reach 200? Use a calculator to solve to x.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
After year 1, the population would be

.
.
.

Continuing all the way back to time t=0 years,

.
.
.

You can use a calculator to iterate for x.
.
.
.
Algebraically you can solve it using logarithm functions.

Nine years to double the population at 8% growth.
RELATED QUESTIONS
A population grows at a rate of 8% per year forever. The population starts at 100. What (answered by stanbon)

Suppose a population of initial size 100 grows at the rate of 8% per year forever. What (answered by Mathtut,stanbon)

Suppose a population of initial size 100 grows at the rate of 8% per year forever.... (answered by RAY100)

Suppose a population of initial size 100 grows at the rate of 8% per year forever. What... (answered by Jstrasner)

Suppose a population of intial size 100 grows at the rate of 8% per year forever. What... (answered by vleith)

Suppose a population of intial size 100 grows at the rate of 8% per year forever. What is (answered by stanbon)

Suppose a population of initial size 100 grows at the rate of 8% per year forever. What... (answered by ankor@dixie-net.com)

I did all the math for this one, but still having problems writing out the equation:... (answered by Alan3354)

Suppose a population of initial size 100 grows at the rate of 8% per year forever. What (answered by user_dude2008)