document.write( "Question 375947: Determine the constants N(o) and K so that the graph y=N(o)e^(kt) passes through the points (2,3) and (8,24).\r
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Algebra.Com's Answer #267355 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
From the given point (2,3), $\"3+=+N%280%29e%5E%282k%29\"$ . \r
\n" ); document.write( "\n" ); document.write( "From the given point (8,24), $\"24+=+N%280%29e%5E%288k%29\"$ . \r
\n" ); document.write( "\n" ); document.write( "Raise the 1st equation to the 4th power, to get $\"3%5E4+=+%28N%280%29%29%5E4%2Ae%5E%288k%29\"$ , or $\"81+=+%28N%280%29%29%5E4%2Ae%5E%288k%29\"$ . \r
\n" ); document.write( "\n" ); document.write( "Divide this resulting equation by $\"24+=+N%280%29e%5E%288k%29\"$ , to get $\"81%2F24+=+27%2F8+=+%28N%280%29%29%5E3\"$ , resulting in $\"N%280%29+=+3%2F2\"$ . \r
\n" ); document.write( "\n" ); document.write( "Hence $\"3+=+%283%2F2%29%2Ae%5E%282k%29\"$ , or $\"2+=+e%5E%282k%29\"$ , or $\"k+=+ln2%2F2\"$ . \n" ); document.write( "

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