document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189653>Question 1189653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, any chance someone could help me out with this problem? \r<BR>\n" );
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document.write( "https://drive.google.com/file/d/1VjNtgtaZvxc99w-Ig2_eRBl6guaa_qrw/view?usp=sharing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821071 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=821071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Part A\r<BR>\n" );
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document.write( "Plug in M = 9.0 into the formula given\r<BR>\n" );
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document.write( "E(M) = (10^1.5)^M<BR>\n" );
document.write( "E(9) = (10^1.5)^9<BR>\n" );
document.write( "E(9) = (31.6227766016838)^9<BR>\n" );
document.write( "E(9) = 31,622,776,601,683.9<BR>\n" );
document.write( "E(9) = 32,000,000,000,000<BR>\n" );
document.write( "E(9) = <font color=red>3.2 * 10^13</font><BR>\n" );
document.write( "Roughly 32 trillion kWh of energy was released.\r<BR>\n" );
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document.write( "Answer: <font color=red>3.2 * 10^13 kWh</font>\r<BR>\n" );
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document.write( "Part B\r<BR>\n" );
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document.write( "This time we'll plug in M = 6.9\r<BR>\n" );
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document.write( "E(M) = (10^1.5)^M<BR>\n" );
document.write( "E(6.9) = (10^1.5)^6.9<BR>\n" );
document.write( "E(6.9) = (31.6227766016838)^6.9<BR>\n" );
document.write( "E(6.9) = 22,387,211,385.6834<BR>\n" );
document.write( "E(6.9) = 22,000,000,000<BR>\n" );
document.write( "E(6.9) = <font color=red>2.2 * 10^10</font><BR>\n" );
document.write( "Roughly 22 billion kWh of energy was released.\r<BR>\n" );
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document.write( "Answer: <font color=red>2.2 * 10^10 kWh</font>\r<BR>\n" );
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document.write( "Part C\r<BR>\n" );
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document.write( "Divide the results of parts A and B<BR>\n" );
document.write( "A/B = (3.2 * 10^13)/(2.2 * 10^10)<BR>\n" );
document.write( "A/B = 1,454.54545454546<BR>\n" );
document.write( "A/B = <font color=red>1455</font>\r<BR>\n" );
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document.write( "Answer: <font color=red>Roughly 1455 times greater</font>\r<BR>\n" );
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document.write( "Part D\r<BR>\n" );
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document.write( "Unlike parts A and B, we don't know what M is. <BR>\n" );
document.write( "But we do know that E(M) = 3,981,000 kWh. <BR>\n" );
document.write( "We'll plug this in to find M. <BR>\n" );
document.write( "You'll need to use logarithms.\r<BR>\n" );
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document.write( "E(M) = (10^1.5)^M<BR>\n" );
document.write( "3,981,000 = (10^1.5)^M<BR>\n" );
document.write( "3,981,000 = (31.6227766016838)^M<BR>\n" );
document.write( "log(3,981,000) = log( (31.6227766016838)^M )<BR>\n" );
document.write( "log(3,981,000) = M*log( 31.6227766016838 )<BR>\n" );
document.write( "M = log(3,981,000)/log( 31.6227766016838 )<BR>\n" );
document.write( "M = 4.39999478505607<BR>\n" );
document.write( "M = <font color=red>4.4</font><BR>\n" );
document.write( "The magnitude on the Richter Scale is roughly a <font color=red>4.4</font>\r<BR>\n" );
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document.write( "If you were to plug M = 4.4 into the formula given, then,<BR>\n" );
document.write( "E(M) = (10^1.5)^M<BR>\n" );
document.write( "E(M) = (31.6227766016838)^M<BR>\n" );
document.write( "E(4.4) = (31.6227766016838)^4.4<BR>\n" );
document.write( "E(4.4) = 3,981,071.70553498<BR>\n" );
document.write( "E(4.4) = 3,981,072<BR>\n" );
document.write( "which isn't too far off the mark of the figure 3,981,000\r<BR>\n" );
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document.write( "Answer: <font color=red>Magnitude 4.4</font><BR>\n" );
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