Question 41572
a) Find the population in the year 2006. 
{{{P(t)=   240/5 + 54.99e^(0.0208t)}}}
{{{P(t)=   240/5 + 54.99e^(0.0208(2006 - 1997))}}}
{{{P(t)=   48 + 54.99e^(0.0208(9))}}}
{{{P(t)=   114}}}
b) In what year will the population reach 24 million?
{{{P(t)=   240/5 + 54.99e^(0.0208t)}}}
{{{24000000=   48 + 54.99e^(0.0208t)}}}
{{{23999952= 54.99e^(0.0208t)}}}
{{{23999952= 54.99e^(0.0208t)}}}
{{{ln(23999952/54.99) = (0.0208t)}}}
{{{ln(23999952/54.99)/0.0208 = t}}}
{{{624.35 = t}}}
c) What happens to the population as t increases without bound?
The population increases as the time increases.