document.write( "Question 1010453: There is an initiation fee to join the Wellness Center, as well as monthly dues. The total cost after 7 months' membership will be $335, and after 1 1/2 year, $830. Find both the initiation fee and the monthly dues. Setup a system of equations and solve. Label your answers. Show step by step.\r
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document.write( "Thanks in advance! \n" );
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Algebra.Com's Answer #625967 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! There is an initiation fee to join the Wellness Center, as well as monthly dues. The total cost after 7 months' membership will be $335, and after 1 1/2 year, $830. Find both the initiation fee and the monthly dues. Setup a system of equations and solve. Label your answers. Show step by step. \n" ); document.write( "Equations: \n" ); document.write( "f + (7/12)d = 335 \n" ); document.write( "f + (3/2)d = 830 \n" ); document.write( "----- \n" ); document.write( "Subtract and solve for \"d\": \n" ); document.write( "[(3/2)-(7/12)]d = 495 \n" ); document.write( "----- \n" ); document.write( "[(36-14)/24]d = 495 \n" ); document.write( "(11/12)d = 495 \n" ); document.write( "(1/12)d = 45 \n" ); document.write( "--- \n" ); document.write( "dues = 12*45 = $540 \n" ); document.write( "---- \n" ); document.write( "Solve for \"f\": \n" ); document.write( "f + (3/2)d = 830 \n" ); document.write( "f = 830-(3/2)540 \n" ); document.write( "fee = 830-818 = $12 \n" ); document.write( "----- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "---------- \n" ); document.write( " |