A country has a population of 287 million in 2005. The growth rate is 1.3%. Express the population of the country t years after 2005.

Expert Answers

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To solve, we will use the exponential growth formula:

`A(t)= C(1+ r)^t`

Such that:

C= initial amount.

r= rate of growth

t= time

Given:

Initial population C = 287 million.

rate of growth (r)= 1.3% = 0.013

Required:

We need to find the formula for the population after 2005.

Solutions.

We consider 2005 the initial time where t= 0

Then, after 2005 , the population will be"

`A(t) = 287(1+0.013)^t `

`==> A(t)= 287(1.013)^t .`  millions

(The number obtained is in millions)

 

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The country has a population of 287 million in 2005. The growth rate of the population is 1.3%.

The population of the country t years after 2005 is: 287*10^6*(1+0.013)^t

The expression of the population is: 287*10^6*(1+0.013)^t

Approved by eNotes Editorial Team
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