document.write( "Question 1071612: The population is decreasing at a rate of 2% per year. If the population is 27,200 today, what will the population be in 10 years? Round your answer to the nearest whole number, if necessary.
\n" ); document.write( "
\n" ); document.write( "Would you please help me solve this? i missed this day in class and cannot solve it or even try to begin. thank you in advance!
\n" ); document.write( "

Algebra.Com's Answer #686510 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
Decrease of 2% each year means keeping 98% each year.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=p%2Ae%5E%28kt%29\"
\n" ); document.write( "y population
\n" ); document.write( "p initial population
\n" ); document.write( "t time in years\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In one year,
\n" ); document.write( "\"98=100e%5E%28k%2A1%29\", assuming if starting with population 100;
\n" ); document.write( "\"ln%2898%29=ln%28100%2Ae%5Ek%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%2898%29=ln%28100%29%2Bk%2Aln%28e%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k%2A1=ln%2898%29-ln%28100%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k=ln%2898%29-ln%28100%29\"\r
\n" ); document.write( "\n" ); document.write( "\"k=-0.0202\"\r
\n" ); document.write( "\n" ); document.write( "MODEL: \"highlight_green%28y=27200%2Ae%5E%28-0.0202t%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What is the population in 10 years?
\n" ); document.write( "t=10; find y.
\n" ); document.write( "\"y=27200%2Ae%5E%28-0.0202%2A10%29\"\r
\n" ); document.write( "\n" ); document.write( "\"y=27200%2Ae%5E-0.2020\"\r
\n" ); document.write( "\n" ); document.write( "To the nearest WHOLE number, y=22225
\n" ); document.write( "
\n" );