document.write( "Question 1138614: a. In​ 2000, the population of a country was approximately 6.18 million and by 2069 it is projected to grow to 12 million. Use the exponential growth model A=Aoe^kt​, in which t is the number of years after 2000 and Ao is in​ millions, to find an exponential growth function that models the data.
\n" ); document.write( "b. By which year will the population be 15 ​million?
\n" ); document.write( "

Algebra.Com's Answer #756406 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
\"A%5Bo%5D=6.18\"
\n" ); document.write( "-
\n" ); document.write( "\"system%28t=69%2CA=12%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "FIND k
\n" ); document.write( "\"ln%2812%29=ln%286.18%2Ae%5E%2869k%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%2812%29=ln%286.18%29%2B69k\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%2812%29-ln%286.18%29=69k\"\r
\n" ); document.write( "\n" ); document.write( "\"k=%281%2F69%29%28ln%2812%2F6.18%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k=0.009617\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "MODEL:
\n" ); document.write( "\"highlight%28A=6.18e%5E%280.009617t%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The question #b means, evaluate A if t=15.
\n" ); document.write( "
\n" );