document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935624>Question 935624</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me ............. <BR>\n" );
document.write( "raising an amount 4 times by 25% results in 500.what was the original amount..<BR>\n" );
document.write( "solve it by compound interest formula..... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568864 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=568864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = the amount.<BR>\n" );
document.write( "raising it by 25% means that you are adding 25% of x to x.<BR>\n" );
document.write( "25% of x is equal to .25 * x.<BR>\n" );
document.write( "you get:<BR>\n" );
document.write( "x + 25% of x is equal to x + .25 * x which is equal to 1.25 * x.\r<BR>\n" );
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document.write( "raising x by 25% of x is the same thing as multiplying x by 1.25.\r<BR>\n" );
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document.write( "if you do that 4 times, then you are multiplying x by 1.25 four times.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "x * 1.25 * 1.25 * 1.25 * 1.25\r<BR>\n" );
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document.write( "since 1.25 * 1.25 * 1.25 * 1.25 is equal to (1.25)^4, then that expression becomes:\r<BR>\n" );
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document.write( "x * 1.25^4\r<BR>\n" );
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document.write( "now you have that x * 1.25^4 = 500\r<BR>\n" );
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document.write( "divide both sides of this equation by 1.25^4 and you get:\r<BR>\n" );
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document.write( "x = 500 / 1.25^4\r<BR>\n" );
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document.write( "you can use your calculator to find that x must be equal to 204.8\r<BR>\n" );
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document.write( "multiply 204.8 * 1.25^4 and you will get 500\r<BR>\n" );
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document.write( "to confirm for yourself that this is the same as 204.8 * 1.25 * 1.25 * 1.25 * 1.25, then do that in your calculator and you will still get 500.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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