document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72776>Question 72776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am in dire need or assitance with the following questions and if anyone could assist me i WOULD BE SO GREATFUL!!!\r<BR>\n" );
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document.write( "(1)you are traveling North for 35km the you travel East 65km. how far are you from your starting point? N and E ca be considered the direstions of the y and x axis. Round to the tenths place.<BR>\n" );
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document.write( "(2)the volume of a cube is given by V=S^3. find the length of a side of a cube if the volume is 729cm^3.<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Show work:\r<BR>\n" );
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document.write( "(3)suppose you deposit $10,000 for two years at a rate of 10%.calculate the return (A) if the bank compounds annually(n=1). round answer to the hundreths place.<BR>\n" );
document.write( "Answer:\r<BR>\n" );
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document.write( "Show work:(use ^ to indicate the power).\r<BR>\n" );
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document.write( "(A)calculate the return(A) if the bank compounds quarterly(n=4). round answer to the hundreths place.<BR>\n" );
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document.write( "Bank compounds monthly(n=12). Round answer to hundreths place.<BR>\n" );
document.write( "Answer:<BR>\n" );
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document.write( "Bank compound daily(n=365).round answer to hundreths.<BR>\n" );
document.write( "Answer:<BR>\n" );
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document.write( "what observation can you make about the size of the increase in your return as compounding increases more frequently?<BR>\n" );
document.write( "Answer:     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52322 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=52322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Use Pythagoreans theorem <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835%29%5E2%2B%2865%29%5E2=d%5E2 ALIGN=MIDDLE  ALT=\"%2835%29%5E2%2B%2865%29%5E2=d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1225%2B4225=d%5E2 ALIGN=MIDDLE  ALT=\"1225%2B4225=d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5450=d%5E2 ALIGN=MIDDLE  ALT=\"5450=d%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=sqrt%285450%29 ALIGN=MIDDLE  ALT=\"d=sqrt%285450%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=73.8 ALIGN=MIDDLE  ALT=\"d=73.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >Approximately<BR>\n" );
document.write( "<p><BR>\n" );
document.write( "2)To undo a exponent of 3, take a cube root<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3sqrt%28729%29=3sqrt%28s%5E3%29 ALIGN=MIDDLE  ALT=\"3sqrt%28729%29=3sqrt%28s%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=9 ALIGN=MIDDLE  ALT=\"s=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >So the side's length is 9<BR>\n" );
document.write( "<p><BR>\n" );
document.write( "3)<BR>\n" );
document.write( "A)<BR>\n" );
document.write( "For annual compounding let n=1 and t=2 (two years)<BR>\n" );
document.write( "use the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%2Fn%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A=P%281%2Br%2Fn%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >Where A is return<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281%2B.1%29%5E2 ALIGN=MIDDLE  ALT=\"A=10000%281%2B.1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=12100 ALIGN=MIDDLE  ALT=\"A=12100\"   DISABLED_style= \"max-width:90%; height:auto;\" >So the annual return is $12,100<BR>\n" );
document.write( "B)<BR>\n" );
document.write( "For interest compounded quarterly let n=4 and t=2 (two years)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%2Fn%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A=P%281%2Br%2Fn%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281%2B.1%2F4%29%5E%288%29 ALIGN=MIDDLE  ALT=\"A=10000%281%2B.1%2F4%29%5E%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281.025%29%5E8 ALIGN=MIDDLE  ALT=\"A=10000%281.025%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=12184.03 ALIGN=MIDDLE  ALT=\"A=12184.03\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C)<BR>\n" );
document.write( "For interest compounded monthly let n=12 and t=2 (two years)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%2Fn%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A=P%281%2Br%2Fn%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281%2B.1%2F12%29%5E%282%2A12%29 ALIGN=MIDDLE  ALT=\"A=10000%281%2B.1%2F12%29%5E%282%2A12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281.008333%29%5E24 ALIGN=MIDDLE  ALT=\"A=10000%281.008333%29%5E24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=12203.81 ALIGN=MIDDLE  ALT=\"A=12203.81\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D)<BR>\n" );
document.write( "For interest compounded daily let n=365 and t=2 (two years)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=P%281%2Br%2Fn%29%5E%28nt%29 ALIGN=MIDDLE  ALT=\"A=P%281%2Br%2Fn%29%5E%28nt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281%2B.1%2F365%29%5E%282%2A365%29 ALIGN=MIDDLE  ALT=\"A=10000%281%2B.1%2F365%29%5E%282%2A365%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281.0002739%29%5E730 ALIGN=MIDDLE  ALT=\"A=10000%281.0002739%29%5E730\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=12213.05 ALIGN=MIDDLE  ALT=\"A=12213.05\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So as the frequency of compounding increases it approaches a finite number. Notice how the increase gets smaller as we increase the frequency of compounding. So as the compounding frequency increases, it approaches a finite number. It actually approaches the continuous value of the continuous compound formula. Continuous compounding has the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=Pe%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A=Pe%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Where e is a constant e=2.71828...<BR>\n" );
document.write( "So if it was contiuously compounded for 2 years at 10% then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%282.718%5E%28.1%2A2%29%29 ALIGN=MIDDLE  ALT=\"A=10000%282.718%5E%28.1%2A2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281.221403%29 ALIGN=MIDDLE  ALT=\"A=10000%281.221403%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=10000%281.221403%29 ALIGN=MIDDLE  ALT=\"A=10000%281.221403%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=12214.03 ALIGN=MIDDLE  ALT=\"A=12214.03\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So over 2 years it continuously compounds to $12,214.03\r<BR>\n" );
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document.write( "Hope this helps. Feel free to ask about any step. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );