document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102512>Question 1102512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the interest earned of a 12-year investment with an interest rate of 5.3 %/a compounded weekly, if future value is $41800. \r<BR>\n" );
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document.write( "A) $ 17 630.77 B) $ 356.07 C) $ 14404.36 D) $19 663.67 </SPAN>\n" );
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document.write( "If the initial amount is A, then the amount after 12 years, compounded weekly (52 times a year), with an annual interest rate of 5.3%, is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%281%2B%28.053%2F52%29%5E%2812%2A52%29%29+=+A%2A1.8883 ALIGN=MIDDLE  ALT=\"A%281%2B%28.053%2F52%29%5E%2812%2A52%29%29+=+A%2A1.8883\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Given that the future value is $41800, the original amount is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A1.8883+=+41800 ALIGN=MIDDLE  ALT=\"A%2A1.8883+=+41800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+41800%2F1.8333+=+22136.33 ALIGN=MIDDLE  ALT=\"A+=+41800%2F1.8333+=+22136.33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The original amount is $22136.33; the future value is $41800; the interest is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41800-22136.33+=+19663.67 ALIGN=MIDDLE  ALT=\"41800-22136.33+=+19663.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Answer D.<br><BR>\n" );
document.write( "Note there is a faster way to get to the interest amount, after we find that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2A1.8883+=+41800 ALIGN=MIDDLE  ALT=\"A%2A1.8883+=+41800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In that equation, A*1 is the original amount; A*0.8883 is the interest.  So the fraction of the total future value of $41800 that is interest is 0.8883/1.8883.  So the amount of interest is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=41800%2A%280.8883%2F1.8883%29+=+19663.67 ALIGN=MIDDLE  ALT=\"41800%2A%280.8883%2F1.8883%29+=+19663.67\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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