document.write( "Question 6507: I am having a hard time answering the following problem. Any assistance would be much appreciated. \r
\n" ); document.write( "\n" ); document.write( "Problem: The function f(t) = 9.7*e^(0.003*t)) models the population of a certain city f(t), measured in millions, t years after 1990. If the population growth rate continues into the future, when will the population reach 14 million?
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Algebra.Com's Answer #3518 by Mike(39) $\"\"$ $\"About$

You can put this solution on YOUR website!
sorry to butt in, but this is the wrong answer --> the f(t) is measured in millions of years, so f(t) is actually 14, not 14,000,000. Put 14 in the working, follow it through as below and you get t = 122.3 years, so in 1990+123 = 2113.
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\n" ); document.write( "\n" ); document.write( "In order to answer this problem, simply let the function equal to 14 million. In other words:\r
\n" ); document.write( "\n" ); document.write( "1) 14'000'000=9.7e^(0.003*t)
\n" ); document.write( "2) Divide by 9.7 on both sides: 1443298.969=e^(0.003*t)
\n" ); document.write( "3) Take the natural log of both sides to get rid of the e^: ln(1443298.969)=.003*t
\n" ); document.write( "4) Divide by .003 on both sides to give you the answer: t=4727.48 years\r
\n" ); document.write( "\n" ); document.write( "Hope this helps.
\n" ); document.write( "Regards,
\n" ); document.write( "-Mike \n" ); document.write( "

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