document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118323>Question 1118323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the final amount in the following retirement&#8203; account, in which the rate of return on the account and the regular contribution change over time.\r<BR>\n" );
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document.write( "&#8203;$369 per month invested at 4&#8203;%, compounded&#8203; monthly for 7 years;  <BR>\n" );
document.write( "then &#8203;$603 per month invested at 6&#8203;%, compounded&#8203; monthly, for 7 years.\r<BR>\n" );
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document.write( "What is the amount in the account after 14 &#8203;years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733632 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=733632\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> $369 per month invested at 4&#8203;%, compounded&#8203; monthly for 7 years; <BR>\n" );
document.write( "then &#8203;$603 per month invested at 6&#8203;%, compounded&#8203; monthly, for 7 years. <BR>\n" );
document.write( "What is the amount in the account after 14 &#8203;years?\r<BR>\n" );
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document.write( "i am assuming that the future value of the first investment at 4% is then reinvested for the next 7 years at 6% on top of the new investment at 6%.\r<BR>\n" );
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document.write( "this is what i found.\r<BR>\n" );
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document.write( "i used the following online calculator to come up with the answer i think you are looking for.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://arachnoid.com/finance/\" target = \"_blank\">https://arachnoid.com/finance/</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://arachnoid.com/finance/\" target = \"_blank\">https://arachnoid.com/finance/</a>\r<BR>\n" );
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document.write( "here's my input for the first loan.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060811.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "here's the output for the first loan.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060812.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "here's my input for the second loan.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060813.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "here's my output for the second loan.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060814.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "now i have the future value of both loans.\r<BR>\n" );
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document.write( "the first loan, however, needs to be brought forward another 7 years at 6% a year compounded monthly in order to have the total value at the end of 14 years.\r<BR>\n" );
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document.write( "here's my input for the investment of the future value of the first loan for another 7 years at 6% per year compounded monthly.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060815.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "here's my output for the investment of the future value of the first loan for another 7 years at 6% per year compounded monthly.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060816.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the first loan gave me the future value of the payments of 369 at the end of each month for 84 months at 4% per year compounded monthly.\r<BR>\n" );
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document.write( "that future value was 35,702.28.\r<BR>\n" );
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document.write( "the second loan gave me the future value of the payments of 603 at the end of each month for 84 months at 6% per year compounded monthly.\r<BR>\n" );
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document.write( "the future value was 62,756.58.\r<BR>\n" );
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document.write( "the 35702.28 future value of the first loan was then invested for another 7 years at 6% compounded monthly.\r<BR>\n" );
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document.write( "the future value of that investment ws 54,280.66.\r<BR>\n" );
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document.write( "the total value at the end of 14 years was the sum of 54,280.66 + 62,756.58 = 117,037.24.\r<BR>\n" );
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document.write( "i also did the problem in excel and this is what i found.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060817.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060818.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/060819.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "the excel month by month calculations agree with the solution provided by the calculator.<BR>\n" );
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