document.write( "Question 364471: Can someone please show me the steps on how to solve the following problem? \r
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document.write( "Section 12.4; #99\r
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document.write( "Directions: The formula A=36.1e^0.0126t models the population of California, A, in millions, t years after 2005. \r
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document.write( "a.) What was the population of California in 2005? \r
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document.write( "b.) When will the population of California reach 40 million? \r
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document.write( "Any help is appreciated. \n" );
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Algebra.Com's Answer #259879 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Directions: The formula A=36.1e^0.0126t models the population of California, A, in millions, t years after 2005. \n" ); document.write( "a.) What was the population of California in 2005? \n" ); document.write( "t=0 \n" ); document.write( "subsitute into: \n" ); document.write( "A=36.1e^0.0126t \n" ); document.write( "A=36.1e^0.0126(0) \n" ); document.write( "A=36.1e^0 \n" ); document.write( "A=36.1 million\r \n" ); document.write( "\n" ); document.write( "b.) When will the population of California reach 40 million? \n" ); document.write( "A = 40 \n" ); document.write( "subsitute into: \n" ); document.write( "A=36.1e^0.0126t \n" ); document.write( "40=36.1e^0.0126t \n" ); document.write( "40/36.1 = e^0.0126t \n" ); document.write( "ln(40/36.1) = 0.0126t \n" ); document.write( "ln(40/36.1)/0.0126 = t \n" ); document.write( "8.14 years = t \n" ); document.write( "so, \n" ); document.write( "2005 + 8.14 = 2013 \n" ); document.write( " |