document.write( "Question 980289: the population of a midwest town decreased from 214,000 to 211,000 in just 2 years. assuming this trend continues, what will population be after an additional 3 years?\r
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document.write( "thank you for your time and help \n" );
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Algebra.Com's Answer #601451 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! P=Po{1+r}^t, with t in years\r \n" ); document.write( "\n" ); document.write( "211000=214000(1+r)^2 \n" ); document.write( "divide by 214000, both sides \n" ); document.write( "0.9860=(1+r)^2 \n" ); document.write( "ln of both sides \n" ); document.write( "-0.0141=2 (ln (1+r) \n" ); document.write( "-0.00706=ln (1+r) \n" ); document.write( "raise both to e \n" ); document.write( "0.9930=1+r \n" ); document.write( "r=-0.007\r \n" ); document.write( "\n" ); document.write( "Now P=Po(1-0.007)^5, because it will be 5 years. \n" ); document.write( "=206,614 \n" ); document.write( "With these problems, round at the end. I wrote in the number to a few decimal places, but the calculations were done with the original unrounded answer. \n" ); document.write( " |