document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926211>Question 926211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You deposit $3000 in an account earning 7% interest compounded continuously. The amount of money in the account after  years is given by A(t)=3000 e^(0.07 t) .  \r<BR>\n" );
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document.write( "How much will you have in the account in 5 years? $  Round your answer to 2 decimal places.\r<BR>\n" );
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document.write( "How long will it be until you have $17700 in the account?   years.  Round your answer to 2 decimal places.\r<BR>\n" );
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document.write( "How long does it take for the money in the account to double?   years.  Round your answer to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562083 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=562083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You deposit $3000 in an account earning 7% interest compounded continuously. The amount of money in the account after years is given by A(t)=3000 e^(0.07 t)<BR>\n" );
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document.write( "How much will you have in the account in 5 years? $ Round your answer to 2 decimal places.<BR>\n" );
document.write( "A(t)=3000 e^(0.07 t)=3000e^(.07*5)=3000 e^(0.35)=$4257.20<BR>\n" );
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document.write( "How long will it be until you have $17700 in the account? years. Round your answer to 2 decimal places.<BR>\n" );
document.write( "17700=3000 e^(0.07 t)<BR>\n" );
document.write( "e^.07t=17700/3000=5.9<BR>\n" );
document.write( ".07t*lne=ln(5.9)<BR>\n" );
document.write( "lne=1<BR>\n" );
document.write( "t=ln(5.9)/.07=25.36 yrs<BR>\n" );
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document.write( "How long does it take for the money in the account to double? years. Round your answer to 2 decimal places.<BR>\n" );
document.write( "2= e^(0.07 t)<BR>\n" );
document.write( ".07t*lne=ln(2)<BR>\n" );
document.write( "t=ln(2)/.07=9.90 yrs </SPAN>\n" );
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