document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100918>Question 100918</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!  I am reviewing future values for my Finance class and am completely befuddled on the logical progression of the time value of money formulas. It has been quite some time since I have taken Algebra, and that is essentially why I can't figure this transformation out.   \r<BR>\n" );
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document.write( "FV1 = PV + kPV\r<BR>\n" );
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document.write( "must transform into:\r<BR>\n" );
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document.write( "FV1 = PV(1+k)\r<BR>\n" );
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document.write( "I understand the basics cross-multiplying, but cannot for the life of me figure out how the former was transformed into the latter.  Your assistance would be greatly appreciated!\r<BR>\n" );
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document.write( "Jonathan Pounds\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73455 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=73455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FV1 = PV + kPV <BR>\n" );
document.write( "must transform into: <BR>\n" );
document.write( "FV1 = PV(1+k) <BR>\n" );
document.write( "I understand the basics cross-multiplying, but cannot for the life of me figure out how the former was transformed into the latter. Your assistance would be greatly appreciated! <BR>\n" );
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document.write( "Try it with numbers and you will see that it works.<BR>\n" );
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document.write( "The property is called \"distribution\"<BR>\n" );
document.write( "A statement of the property says: Multiplication distributes over addition.<BR>\n" );
document.write( "Here it is in symbols: a(b+c) = ab+ac<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "FV1 = PV + kPV<BR>\n" );
document.write( "Fv1 = PV(1+k)<BR>\n" );
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document.write( "If PV = 4 and k=3 <BR>\n" );
document.write( "then FV! = 4+3*4 = 16<BR>\n" );
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document.write( "similarly  4(1+3)= 16<BR>\n" );
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document.write( "Therefore 4+3*4 = 4(1+3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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