document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960012>Question 960012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you have $3000 to invest. Which investment yields the greater return over 10 years: 8.75% compounded continuously or 8.9% compounded semiannually? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586709 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=586709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8.75% compounded continuously \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+3000%2Ae%5E%280.0875%2A10%29 ALIGN=MIDDLE  ALT=\"A+=+3000%2Ae%5E%280.0875%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Note: 'e' is the constant 2.718 approximately (it's a lot like pi)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+7196.6258819035 ALIGN=MIDDLE  ALT=\"A+=+7196.6258819035\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use a calculator for this step\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+7196.63 ALIGN=MIDDLE  ALT=\"A+=+7196.63\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use a calculator for this step\r<BR>\n" );
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document.write( "If you invest $3000 over 10 years at 8.75% interest compounded continuously, you'll have $7,196.63 in the account. Circle this value since you'll come back to it.\r<BR>\n" );
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document.write( "8.9% compounded semiannually\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+3000%2A%281%2B0.089%2F2%29%5E%282%2A10%29 ALIGN=MIDDLE  ALT=\"A+=+3000%2A%281%2B0.089%2F2%29%5E%282%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+7166.22007177676 ALIGN=MIDDLE  ALT=\"A+=+7166.22007177676\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+7166.22 ALIGN=MIDDLE  ALT=\"A+=+7166.22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For the second compounded annually option, we'll have $7,166.22 in the account\r<BR>\n" );
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document.write( "Summary:\r<BR>\n" );
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document.write( "8.75% compounded continuously will have $7,196.63 in the account after the 10 yr period<BR>\n" );
document.write( "8.9% compounded semiannually will have $7,166.22 in the account after the 10 yr period\r<BR>\n" );
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document.write( "So the first option \"8.75% compounded continuously\" is the better option since you're earning roughly $30 more.\r<BR>\n" );
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document.write( "If you need more one-on-one help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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