document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194017>Question 194017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You invest $1,000 into an account where interest is compounded quarterly. If the account is worth $9,000 in 26 years, what is the interest rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145649 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=145649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The  formula  for  compounding  quarterly  is  A = P (1+r/n)^nt,,,where  =  times  /yr,,t==yrs<BR>\n" );
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document.write( "A = P (1+r/n)^nt<BR>\n" );
document.write( "9000 = 1000 (1+r/4)^(4*26)<BR>\n" );
document.write( "9 = ( 1 +r/4)^104<BR>\n" );
document.write( "ln9 = 104 ln(1+r/4),,,,,,,,remember ln (1+r/n)^104 = 104 ln (1+r/n)<BR>\n" );
document.write( "ln9/104 = .02113 = ln(1+r/4)<BR>\n" );
document.write( "e^.02113=(1+r/4),,,,,remember e^ln (1+r/4)=(1+r/4)<BR>\n" );
document.write( "1.02135 = 1 + r/4<BR>\n" );
document.write( ".02135 = r/4<BR>\n" );
document.write( ".0854 =r,,,,,,,,,,,,,,,,,8.54%<BR>\n" );
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document.write( "check<BR>\n" );
document.write( "9000= 1000 (1+.0854/4)^(4*26) = 9000,,,ok </SPAN>\n" );
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