document.write( "Question 1153600: Mr. Thorpe inherited a sum of money. He invested 2/5 of this sum at 6%, 1/3 at 5%, and the rest at 8%. If the annual income from these investments was $2790, find the amount of money he inherited. \n" ); document.write( "
Algebra.Com's Answer #775869 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! 6% acc't: \n" ); document.write( "Principal = (2/5)x = 0.40x \n" ); document.write( "Rate = 0.06 \n" ); document.write( "Interest = 0.06(0.40x) = 0.024x \n" ); document.write( " \n" ); document.write( "5% acc't: \n" ); document.write( "Principal = (1/3)x = 0.33x \n" ); document.write( "Rate = 0.05 \n" ); document.write( "Interest = 0.05(0.33x) = 0.0165x \n" ); document.write( " \n" ); document.write( "8% acc't: \n" ); document.write( "Principal = (1 - 2/5 - 1/3)x = (4/15)x = 0.27x \n" ); document.write( "Rate = 0.08 \n" ); document.write( "Interest = 0.08(0.27x) = 0.0216x \n" ); document.write( " \n" ); document.write( "0.024x + 0.0165x + 0.0216x = 2790 \n" ); document.write( " \n" ); document.write( "0.0621x = 2790 \n" ); document.write( " \n" ); document.write( "x = $44,927.54 \n" ); document.write( " |