document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909166>Question 909166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Just here to check my answers if am I correct. Its gonna be a long question anyway<BR>\n" );
document.write( "If Im correct no need for solutions, if wrong, well just show the solution and right answer.<BR>\n" );
document.write( "Rules:<BR>\n" );
document.write( "log answer in 6 decimal places(no round-off error, just copy)<BR>\n" );
document.write( "Money( with 2 decimal place, round-off error)\r<BR>\n" );
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document.write( "The Villager of Kieler completes an exploratory study and find the current village tower will need a replacement in 10 years at a cost of $290,000. To finance this amount, the village board will at this time asses it's 958 homeowners with a one time surcharge and then invest this amount in a 10 year Cash Deposit paying 8.25% interest compounded semiannually.\r<BR>\n" );
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document.write( "a.How much will the village of Kieler need to invest at this time in this CD in order to raise the $290,000 in 10 years?<BR>\n" );
document.write( "b.What amount should each homeowner pay as a surcharge?\r<BR>\n" );
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document.write( "Answers:<BR>\n" );
document.write( "a.$129,210.26<BR>\n" );
document.write( "b.$134.88 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551649 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=551649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ten years at two compoundings per year is 20 compounding periods of time.  The initial investment quantity is unknown and can be solved.  Call this a.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=290000=a%2A%281.085%29%5E20 ALIGN=MIDDLE  ALT=\"290000=a%2A%281.085%29%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, not using a Natural Log model (although it could be used instead).\r<BR>\n" );
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document.write( "The rate is used as 1+0.085, as a decimal number.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C290000%29=log%2810%2Ca%29%2Blog%2810%2C1.085%5E20%29 ALIGN=MIDDLE  ALT=\"log%2810%2C290000%29=log%2810%2Ca%29%2Blog%2810%2C1.085%5E20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C290000%29=log%2810%2Ca%29%2B20%2Alog%2810%2C1.085%29 ALIGN=MIDDLE  ALT=\"log%2810%2C290000%29=log%2810%2Ca%29%2B20%2Alog%2810%2C1.085%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Ca%29=log%2810%2C290000%29-20%2Alog%2810%2C1.85%29 ALIGN=MIDDLE  ALT=\"log%2810%2Ca%29=log%2810%2C290000%29-20%2Alog%2810%2C1.85%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Ca%29=5.4624%2B20%2A0.0354297 ALIGN=MIDDLE  ALT=\"log%2810%2Ca%29=5.4624%2B20%2A0.0354297\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Ca%29=5.4624-0.7086 ALIGN=MIDDLE  ALT=\"log%2810%2Ca%29=5.4624-0.7086\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2Ca%29=4.7538 ALIGN=MIDDLE  ALT=\"log%2810%2Ca%29=4.7538\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=56728.33%29 ALIGN=MIDDLE  ALT=\"highlight%28a=56728.33%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----The amount to invest.\r<BR>\n" );
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document.write( "Each person of the village, of 958 people, would pay <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2F958 ALIGN=MIDDLE  ALT=\"a%2F958\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars, or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=56728.33%2F958=highlight%2859.22%29 ALIGN=MIDDLE  ALT=\"a=56728.33%2F958=highlight%2859.22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars each.\r<BR>\n" );
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document.write( "My calculations may not have used the accuracy specified in the problem description.  Precision might be off a little bit.  software calculator was used; not a table of logarithms.\r<BR>\n" );
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document.write( "Try checking:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=56728%2A1.085%5E20=289996 ALIGN=MIDDLE  ALT=\"56728%2A1.085%5E20=289996\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  not too far from 290000. </SPAN>\n" );
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