the population of a popular town of Smithville in 2003 was estimated to be 35,000 people with an annual rate increase of about 2% Estimate the population in 2007 to the nearest person .

Respuesta :

initial population is P = 35000

annual rate of increment is r = 2 %

time t = 2007 - 2003 = 4 years

so the population after 4 years will be,

[tex]A=P(1+\frac{r}{100})^t[/tex][tex]\begin{gathered} A=35000(1+\frac{2}{100})^4 \\ A=35000(\frac{102}{100}_{})^4 \end{gathered}[/tex][tex]\begin{gathered} A=35000\times1.02^4 \\ A=35000\times1.0824 \\ A=37885 \end{gathered}[/tex]

thus, the Estimate the population in 2007 is 37885 people