document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=797634>Question 797634</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! Do not understand at all!\r<BR>\n" );
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document.write( "If interest is compuonded continuously, after t years the amount in the account is A=Pe^rt (where A=total amount, P=original amount.invested, and r=interest rate). \r<BR>\n" );
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document.write( "1) how long does it take for your investment to double at 4% interest? (Round to nearest year) hint: if your original amount is x, the doubled amount is....\r<BR>\n" );
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document.write( "2) How long does it take for your investment to teiple at 4% interest? (round to nearest year) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481977 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=481977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If interest is compuonded continuously, after t years the amount in the account is A=Pe^rt (where A=total amount, P=original amount.invested, and r=interest rate).<BR>\n" );
document.write( "1) how long does it take for your investment to double at 4% interest? (Round to nearest year) hint: if your original amount is x, the doubled amount is....<BR>\n" );
document.write( "2) How long does it take for your investment to teiple at 4% interest? (round to nearest year)<BR>\n" );
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document.write( "A=Pe^rt<BR>\n" );
document.write( "A/P=e^rt<BR>\n" );
document.write( "To double investment:<BR>\n" );
document.write( "A/P=2<BR>\n" );
document.write( "e^rt=2<BR>\n" );
document.write( "e^.04t=2<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( ".04t*lne=ln2<BR>\n" );
document.write( "lne=1<BR>\n" );
document.write( "t=ln2/.04&#8776;17 yrs<BR>\n" );
document.write( "..<BR>\n" );
document.write( "To triple investment:<BR>\n" );
document.write( "A/P=3<BR>\n" );
document.write( "e^rt=3<BR>\n" );
document.write( "e^.04t=3<BR>\n" );
document.write( "take log of both sides<BR>\n" );
document.write( ".04t*lne=ln3<BR>\n" );
document.write( "lne=1<BR>\n" );
document.write( "t=ln3/.04&#8776;24 yrs<BR>\n" );
document.write( " </SPAN>\n" );
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