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 314750: 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
Answer by Jstrasner(112) (Show Source): You can put this solution on YOUR website!
hey,
Well the initial equation would be:
S(size)n=100(1.08^n)
So for the first year:
S1= 100(1.08^1)= 108 people
S2= 100(1.08^2)= 116.64 => so 117 people roughly
S3= 100(1.08^3)= 125.97 => so 126 people roughly
As shown above the size at n years is :
100(1.08^n)
As for the algebraic equation:
we would use the one above:
200 = 100(1.08^n)
and you would use log
I hope this helps!
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 Fombitz)

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 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)