document.write( "Question 31649: Can you help please.
\n" ); document.write( "The question reads: The number of bacteria present in a culture after t minutes is given as B=10e^kt. If there are 2167 bacteria present after 15 minutes, kind k.\r
\n" ); document.write( "\n" ); document.write( "(A) 0.384
\n" ); document.write( "(B) 80.678
\n" ); document.write( "(C) 0.359
\n" ); document.write( "(D) 5.379\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help!
\n" ); document.write( "

Algebra.Com's Answer #18290 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve for k:
\n" ); document.write( "\"B+=+10e%5E%28kt%29\"
\n" ); document.write( "Substitute B = 2167 and t = 15
\n" ); document.write( "\"2167+=+10e%5E15k%29\" Divide both sides by 10.
\n" ); document.write( "\"216.7+=+e%5E%2815k%29\" Take the natural log of both sides.
\n" ); document.write( "\"ln%28216.7%29+=+15kln%28e%29\" Substitute \"ln%28e%29+=+1\"
\n" ); document.write( "\"ln%28216.7%29+=+15k\" Divide both sides by 15.
\n" ); document.write( "\"k+=+%28ln%28216.7%29%29%2F15\"
\n" ); document.write( "\"k+=+0.35856\" Round to nearest thousandth.
\n" ); document.write( "k = 0.359
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