algebra

I need some help with a problem in Algebra. I need to figure out how to figure out a country's population. If a country's population is 61,113 in 2009 and growth rate is0.3% What would the population be in 2012.

learner said:

I need some help with a problem in Algebra. I need to figure out how to figure out a country's population. If a country's population is 61,113 in 2009 and growth rate is0.3% What would the population be in 2012.

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What is the population growth equation - that you have studied?

a populations growth is exponential and modeled by the equation

N(t)=N[sub:36y39xex]0[/sub:36y39xex]e[sup:36y39xex]rt[/sup:36y39xex]

N(t)=population at time t
N[sub:36y39xex]0[/sub:36y39xex]=initial size of population
r=relative rate of growth
t=time

so plugging in values we have

61113=61113e[sup:36y39xex].003t[/sup:36y39xex]

where t= years since 2009. so plug in 3 instead of t to find population in 2012

N(3)=61113e[sup:36y39xex](.003)(3)[/sup:36y39xex]

N(3)=61113e[sup:36y39xex](.009)[/sup:36y39xex]

N(3)=61113(1.009040622)

N(3)=61665.49952