document.write( "Question 722551: Juan invests a total of $39,000 in two accounts paying 14% and 11% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $4,860.00.
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Algebra.Com's Answer #442783 by god2012(113)![]() ![]() You can put this solution on YOUR website! Total Principal = $39000 \n" ); document.write( "Total interest paid = $4860\r \n" ); document.write( "\n" ); document.write( "Simple interest = I = PTR/100\r \n" ); document.write( "\n" ); document.write( "let 'x' be the amount invested in first account with 14% interest \n" ); document.write( "and 39000 - x is the amount invested in 2nd account with 11%\r \n" ); document.write( "\n" ); document.write( "I1 = x * 14/100 \n" ); document.write( "I2 = (39000-x)*11/100\r \n" ); document.write( "\n" ); document.write( "I1+I2 = (1/100) *(14x + 429000 - 11x ) = (1/100)*(3x + 429000) = 4860\r \n" ); document.write( "\n" ); document.write( "3x = 486000 - 429000 = 57000 or x = 19000 and 39000-x = 20000\r \n" ); document.write( "\n" ); document.write( "Therefore, Juan invested $19000 in first and $20000 in the 2nd account respectively \n" ); document.write( " |