document.write( "Question 1203522: A professional athlete deposited an amount of money into a high-yield mutual fund that earns 14% annual simple interest. A second deposit, $2,400 more than the first, was placed in a certificate of
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document.write( "deposit eaming 7% annua simole interest an one year, he cotal interest earned on both investments was $567. How much money was invested in the mutual fund? \n" );
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Algebra.Com's Answer #839152 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = the amoount invested at 14%.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".14 * x + .07 * (x + 2400) = 567\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get .14 * x + .07 * x + .07 * 2400 = 567 \n" ); document.write( "simplify further to get .21 * x + 168 = 567. \n" ); document.write( "subtract 168 from both sides of the equation to get: \n" ); document.write( ".21 * x = 399. \n" ); document.write( "divide both sides of the equation by .21 to get: \n" ); document.write( "x = 1900.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x with 1900 in the original equation to get: \n" ); document.write( ".14 * x + .07 * (x + 2400) = 567 becomes: \n" ); document.write( ".14 * 1900 + .07 * (1900 + 2400) = 567 \n" ); document.write( "simmplify to get: \n" ); document.write( ".14 * 1900 + .07 * 4300 = 567 \n" ); document.write( "simplify and combine like terms to get: \n" ); document.write( "567 = 567. \n" ); document.write( "this confirms the value of x is good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "youor solution is that the amount of money invested in the mutual fund is 1900.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |