Question 55020
You can generalise the population growth formula to predict the population n years after 2004 by:
{{{P = 294.4X10^6(1.0105)^n}}}

A) The predicted population in 2015 (11 years after 2004) is: 
{{{P = 294.4X10^6(1.0105)^11}}} 
{{{P = 330.246X10^6}}} Round to the nearest tenth of a million.
{{{P = 330.2}}}Million.

B) The year in which the predicted population will be 350 million can be found by using the formula derived above and solving for n.  Remember that n is the number of years after 2004.

{{{P = 294.4X10^6(1.0105)^n}}} Set {{{P = 350X10^6}}} and solve for n.
{{{350X10^6 = 294.4X10^6(1.0105)^n}}} Divide both sides by {{{294.4X10^6}}}
{{{(350X10^6)/(294.4X10^6) = (1.0105)^n}}} Simplify.
{{{1.18886 = (1.0105)^n}}} Take the logarithm of both sides.
{{{log((1.18886)) = nlog(1.0105)}}} Divide both sides by {{{log((1.0105))}}}
{{{n = (log((1.18886)))/(log((1.0105)))}}} Use your calculator to evaluate this.
{{{n = 16.54}}} 
Round to 17 and add to 2004
2004 + 17 = 20021

The population should reach 350 million in the year 2021