document.write( "Question 364471: Can someone please show me the steps on how to solve the following problem? \r
\n" ); document.write( "\n" ); document.write( "Section 12.4; #99\r
\n" ); document.write( "\n" ); document.write( "Directions: The formula A=36.1e^0.0126t models the population of California, A, in millions, t years after 2005. \r
\n" ); document.write( "\n" ); document.write( "a.) What was the population of California in 2005? \r
\n" ); document.write( "\n" ); document.write( "b.) When will the population of California reach 40 million? \r
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\n" ); document.write( "\n" ); document.write( "Any help is appreciated.
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Algebra.Com's Answer #259879 by nerdybill(7384)\"\" \"About 
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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( "
\n" );