document.write( "Question 1200292: The population of a town grows at a rate of e^1.2t-2t people per year (where t is the number of years). At t=2 years, the town has 1500 people. Approximately by how many people do the population grow between t=2 and t=5? What is the town’s population at t=5 year? \n" ); document.write( "

Algebra.Com's Answer #834428 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "The population of a town grows at a rate of e^1.2t-2t people per year (where t is the number of years).
\n" ); document.write( "At t=2 years, the town has 1500 people. Approximately by how many people do the population grow
\n" ); document.write( "between t=2 and t=5? What is the town’s population at t=5 year?
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\n" ); document.write( "\n" ); document.write( "My personal opinion is that this problem is worded and posed incorrectly.\r
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\n" ); document.write( "\n" ); document.write( "More concretely, it is a soup of words, that are used incorrectly.\r
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\n" ); document.write( "\n" ); document.write( "It is why I did not touch it and do not want to touch it.\r
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document.write( "    If to read it literally, then it requires to solve a differential equation\r\n" );
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document.write( "         = ,\r\n" );
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document.write( "    where \"p\" is the population.\r\n" );
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document.write( "    But in this case,  the expression    is not  \" the rate per year \" : it is  simply  \" the rate \"\r\n" );
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document.write( "    or, if to be precisely accurate, \" the instantaneous rate \".\r\n" );
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