document.write( "Question 1190545: Application of Exponential Functions:
\n" ); document.write( "The population of a town is modeled by P = 12,500e0.015t. When will the population be 25,000? \n" ); document.write( "
Algebra.Com's Answer #822234 by ikleyn(52925)\"\" \"About 
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\n" ); document.write( "Application of Exponential Functions:
\n" ); document.write( "The population of a town is modeled by P = 12,500e0.015t. When will the population be 25,000?
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document.write( "You need solve this equation\r\n" );
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document.write( "     25000 = \"12500%2Ae%5E%280.015%2At%29\"\r\n" );
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document.write( "Divide both sides by 12500.  You will get\r\n" );
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document.write( "    \"25000%2F12500\" = \"e%5E%280.015%2At%29\",\r\n" );
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document.write( "or\r\n" );
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document.write( "    2 = \"e%5E%280.015%2At%29\".\r\n" );
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document.write( "Now take natural logarithm (base e) of both sides\r\n" );
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document.write( "    ln(2) = 0.015*t\r\n" );
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document.write( "    t = \"ln%282%29%2F0.015\" = 46.21   years  (rounded).\r\n" );
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document.write( "ANSWER.  The population of the town will double in 46.21 years.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The yearly growth coefficient is   \"e%5E0.015\" = \"2.71828%5E0.015\" = 1.015,   or about  1.5%  per years.\r
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\n" ); document.write( "\n" ); document.write( "If you want to see many other similar and different solved problems on population growth,  look into the lesson\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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