document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177564>Question 1177564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A loan of $26000 is made at 3.5% interest, compounded annually. After how many years will the amount due reach $41000 or more? Write the smallest possible whole number answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806618 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806618\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 26000 * 1.035 ^ n = 41000.<BR>\n" );
document.write( "n is the number of years.\r<BR>\n" );
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document.write( "divide both sides of this equation by 26000 to get:\r<BR>\n" );
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document.write( "1.035 ^ n = 41/26\r<BR>\n" );
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document.write( "take the log of both sides of this equation to get:\r<BR>\n" );
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document.write( "log(1.035^n) = log(41/26).\r<BR>\n" );
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document.write( "by one of the log laws, this is equivalent to:\r<BR>\n" );
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document.write( "n * log(1.035) = log(41/26)\r<BR>\n" );
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document.write( "divide both sides of the equation by log(1.035) and solve for n to get:\r<BR>\n" );
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document.write( "n = log(41/26) / log(1.035) = 13.24001857.\r<BR>\n" );
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document.write( "confirm by replacing n in the original equation and solving to get:\r<BR>\n" );
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document.write( "f = 26000 * 1.035 ^ 13.24001857 = 41000.\r<BR>\n" );
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document.write( "13.24001857 years is your answer.\r<BR>\n" );
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document.write( "here's a reference on laws of logs.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://proofwiki.org/wiki/Laws_of_Logarithms\" target = <\"_blank\">https://proofwiki.org/wiki/Laws_of_Logarithms</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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