document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183636>Question 1183636</A>: <I><SPAN STYLE=\"word-break: break-all;\">  a person wishes  to deposits $5000 per year in a savings account which earns   interest of 8 percent per year compounded annually . assume the first deposit is made at the end of this  current year and additional deposits at the end of each following year<BR>\n" );
document.write( "  a: to what sum will the  investment grow at the  time of the 10  deposit.<BR>\n" );
document.write( "b: who much interest  will be earned. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #814048 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=814048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a person wishes to deposits $5000 per year in a savings account which earns interest of 8 percent per year compounded annually. <BR>\n" );
document.write( "assume the first deposit is made at the end of this current year and additional deposits at the end of each following year<BR>\n" );
document.write( "a: to what sum will the investment grow at the time of the 10 deposit.<BR>\n" );
document.write( "b: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28who%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28who%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <U>HOW</U> much interest will be earned.<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "It is a classic Ordinary Annuity saving plan. The general formula is \r\n" );
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document.write( "    FV = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2A%28%28%281%2Br%29%5En-1%29%2Fr%29 ALIGN=MIDDLE  ALT=\"P%2A%28%28%281%2Br%29%5En-1%29%2Fr%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,    (1)\r\n" );
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document.write( "where  FV is the future value of the account;  P is the annual payment (deposit); r is the annual percentage rate \r\n" );
document.write( "presented as a decimal; n is the number of deposits (= the number of years, in this case).\r\n" );
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document.write( "Under the given conditions, P = 5000;  r = 0.08;  n = 10.  So, according to the formula (1), you get at the end of the 10-th year\r\n" );
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document.write( "    FV = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000%2A%28%28%281%2B0.08%29%5E10-1%29%2F0.08%29 ALIGN=MIDDLE  ALT=\"5000%2A%28%28%281%2B0.08%29%5E10-1%29%2F0.08%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = $72,432.81.\r\n" );
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document.write( "Note that the person deposits only  10*$5000 = $50,000.  The rest is what the account earns/accumulates in 10 years.\r\n" );
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document.write( "On Ordinary Annuity saving plans, &nbsp;see the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Sequences-and-series/Ordinary-Annuity-saving-plans-and-geometric-progressions.lesson>Ordinary Annuity saving plans and geometric progressions</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Sequences-and-series/Solved-problem-on-Ordinary-Annuity-saving-plans.lesson>Solved problems on Ordinary Annuity saving plans</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "The lessons contain &nbsp;EVERYTHING &nbsp;you need to know about this subject, &nbsp;in clear and compact form.\r<BR>\n" );
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document.write( "When you learn from these lessons, &nbsp;you will be able to do similar calculations in semi-automatic mode.\r<BR>\n" );
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