document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177262>Question 177262</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534386172/algebrahomeworkh>college algebras</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> What rate of interest, to the nearest tenth of a %, compounded annually is needed for an investment of  $200 to grow to $350 in 5 years?<BR>\n" );
document.write( "Thank you in advance for helping me set this up and compute the answer.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132336 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=132336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%2Fn%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A=P%281%2Br%2Fn%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the compound interest formula where A is the return, P is the principal (the amount invested), r is the interest rate, n is the compound frequency, and t is the time (in years)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350=200%281%2Br%2F1%29%5E%281%2A5%29 ALIGN=MIDDLE  ALT=\"350=200%281%2Br%2F1%29%5E%281%2A5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=350 ALIGN=MIDDLE  ALT=\"A=350\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=200 ALIGN=MIDDLE  ALT=\"p=200\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=1 ALIGN=MIDDLE  ALT=\"n=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=5 ALIGN=MIDDLE  ALT=\"t=5\"   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=350=200%281%2Br%2F1%29%5E5 ALIGN=MIDDLE  ALT=\"350=200%281%2Br%2F1%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350=200%281%2Br%29%5E5 ALIGN=MIDDLE  ALT=\"350=200%281%2Br%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350%2F200=%281%2Br%29%5E5 ALIGN=MIDDLE  ALT=\"350%2F200=%281%2Br%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 200.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.75=%281%2Br%29%5E5 ALIGN=MIDDLE  ALT=\"1.75=%281%2Br%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2C1.75%29=1%2Br ALIGN=MIDDLE  ALT=\"root%285%2C1.75%29=1%2Br\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the 5th root of both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1184=1%2Br ALIGN=MIDDLE  ALT=\"1.1184=1%2Br\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the 5th root of 1.75 to get 1.118 (this is approximate)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.1184-1=r ALIGN=MIDDLE  ALT=\"1.1184-1=r\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 1 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.1184=r ALIGN=MIDDLE  ALT=\"0.1184=r\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0.1184 ALIGN=MIDDLE  ALT=\"r=0.1184\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is roughly 11.84%\r<BR>\n" );
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document.write( "So the interest rate needed is about 11.84% </SPAN>\n" );
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