document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105336>Question 1105336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Alexander deposited some money into an account with a fixed rate of interest, compounded annually. The growth of the investment is shown in the table to the right.<BR>\n" );
document.write( "What is the annual rate of interest, to the nearest percent? What principal did Alexander invest?\r<BR>\n" );
document.write( "\n" );
document.write( "End of Year                         Value of Investment ($)<BR>\n" );
document.write( "1                                            517.50<BR>\n" );
document.write( "2                                           535.61<BR>\n" );
document.write( "3                                           554.36                               \r<BR>\n" );
document.write( "\n" );
document.write( "    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720156 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720156\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Alexander deposited some money into an account with a fixed rate of interest, compounded annually. The growth of the investment is shown in the table to the right.<BR>\n" );
document.write( " What is the annual rate of interest, to the nearest percent? What principal did Alexander invest? <BR>\n" );
document.write( " End of Year Value of Investment ($)<BR>\n" );
document.write( " 1 517.50<BR>\n" );
document.write( " 2 535.61<BR>\n" );
document.write( " 3 554.36 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "let r = interest rate in decimal form + 1<BR>\n" );
document.write( "let x = principal, amt invested<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a equation for the first two years<BR>\n" );
document.write( "x*r^1 = 517.5<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=517.5%2Fx ALIGN=MIDDLE  ALT=\"517.5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x*r^2 = 535.61<BR>\n" );
document.write( "r^2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=535.61%2Fp ALIGN=MIDDLE  ALT=\"535.61%2Fp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28535.61%2Fp%29 ALIGN=MIDDLE  ALT=\"sqrt%28535.61%2Fp%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "r=r so we can write an equation we can graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=517.5%2Fx ALIGN=MIDDLE  ALT=\"517.5%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28535.61%2Fx%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%28535.61%2Fx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-200%2C+1200%2C+-.5%2C+3%2C+%28517.5%2Fx%29-%28sqrt%28535.61%2Fx%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we can see x = 500, the principle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find r<BR>\n" );
document.write( "r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=517.5%2F500 ALIGN=MIDDLE  ALT=\"517.5%2F500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "r = 1.035, the interest rate is 3.5%<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this in the 3rd year equation<BR>\n" );
document.write( "500(1.035)^3 = <BR>\n" );
document.write( "500 * 1.1087 = 554.36 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );