+0  
 
0
1019
1
avatar
so i've got this equation the population is N=20000e^0.5*t where t is the number of years since the start of 1995.
how do you work out how many people there are at the start of 1995? it doesnt work if you let t=1 or 0..
 Jul 23, 2012
 #1
avatar+18 
0
hello:

so i've got this equation the population is N=20000e^0.5*t where t is the number of years since the start of 1995.
how do you work out how many people there are at the start of 1995? it doesnt work if you let t=1 or 0..



Start by taking the Exponential Growth Formula
A=Ao*e^k*t

A represents the amount at a given time t.
Ao represents the initial amount of the growing entity. Note that this is the amount when t = 0.
k is a constant that represents the growth rate. It is POSITIVE when talking in terms of exponential GROWTH.
t is the amount of time that has past.

When t=0 is 1995. Any number X^0 to the power of zero = 1.
Just using the formula you know that Ao is the initial amount. Therefore, the answer to your question is 20000.

Hope this helps.
<3 Ivy
 Jul 24, 2012

3 Online Users

avatar