document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002417>Question 1002417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If Hannah places $ 7500 into an account earning 7.75% interest compounded continuously, how much will she have after 16 years?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854454 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(53878)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "If Hannah places $ 7500 into an account earning 7.75% interest compounded continuously, <BR>\n" );
document.write( "how much will she have after 16 years?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Calculations in the post by @lwsshak3 are incorrect (irrelevant) and produce wrong answer.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring a correct solution.\r<BR>\n" );
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document.write( "Compound interest formula for continuous compounding: A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2Ae%5E%28rt%29 ALIGN=MIDDLE  ALT=\"P%2Ae%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, \r<BR>\n" );
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document.write( "where P is an initial investment, r is an interest rate, A is the future value after t years.\r<BR>\n" );
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document.write( "A = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500%2Ae%5E%28.0775%2A16%29 ALIGN=MIDDLE  ALT=\"7500%2Ae%5E%28.0775%2A16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500%2A2.71828%5E%280.0775%2A16%29 ALIGN=MIDDLE  ALT=\"7500%2A2.71828%5E%280.0775%2A16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $25,917.08 rounded to the closest cent.   &nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>\r<BR>\n" );
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document.write( "Solved correctly.\r<BR>\n" );
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