document.write( "Question 1139365: Wind power is the conversion of wind energy into a useful form, such as electricity, using wind turbines. The wind power W installed in a certain country, in megawatts (MW), t years after 2004 can be approximated by W(t)=8733.4(1.406)^t, where t=0 corresponds to 2004. Answer the following. \r
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document.write( "a. What was the wind power capacity in 2006, in 2007, and in 2008?\r
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document.write( "b. Graph the function \n" );
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Algebra.Com's Answer #759888 by Theo(13342) You can put this solution on YOUR website! the formula is w(t) = 8733.4 * 1.406 ^ t\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "t = 0 corresponds to 2004.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want to know what the wind power was in 2006, 2007, and 2008.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be t = 2, 3, and 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's based on the following table.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "year t\r\n" ); document.write( "2004 0\r\n" ); document.write( "2005 1\r\n" ); document.write( "2006 2\r\n" ); document.write( "2007 3\r\n" ); document.write( "2008 4\r\n" ); document.write( "\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you could also have done:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2006 - 2004 = 2 \n" ); document.write( "2007 - 2004 = 3 \n" ); document.write( "2008 - 2004 = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since 2004 is t = 0, then 2006 is t = 3 and 2007 is t = 4 and 2008 is t = 5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula is w(t) = 8733.4 * 1.406 ^ t.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 2004, that becomes 8733.4 * 1.406 ^ 0 = 8733.4 \n" ); document.write( "in 2006, that becomes 8733.4 * 1.406 ^ 2 = 17264.49952 \n" ); document.write( "in 2007, that becomes 8733.4 * 1.406 ^ 3 = 24273.88633 \n" ); document.write( "in 2008, that becomes 8733.4 * 1.406 ^ 4 = 34129.08418.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you let w(t) = y and you let t = x, then you can graph the function using the desmos.com calculator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "my graph is shown below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |