document.write( "Question 1194829: Theodore invests a total of $39,000 in two accounts paying 12% and 7% annual interest, respectively. How much was invested in each account if, after one year, the total interest was $3,730.00.\r
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document.write( " was invested at 12% and
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document.write( " was invested at 7%. \n" );
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Algebra.Com's Answer #827114 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Theodore invests a total of $39,000 in two accounts paying 12% and 7% annual interest, respectively. \n" ); document.write( "let a = amt invested at 12% \n" ); document.write( "the total invested is $39000, therefore: \n" ); document.write( "(39000-a) = amt invested at 7% \n" ); document.write( ": \n" ); document.write( " How much was invested in each account if, after one year, the total interest was $3,730.00. \n" ); document.write( ".12a + .07(39000-a) = 3730 \n" ); document.write( ".12a + 2730 - .07a = 3730 \n" ); document.write( ".12a - .07a = 3730 - 2730 \n" ); document.write( ".05a = 1000 \n" ); document.write( "a = 1000/.05 \n" ); document.write( "a = $20,000 invested at 12% \n" ); document.write( "then obviously, \n" ); document.write( "39000 - 20000 = $19,000 invested at 7% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this, find the actual interest on each account total \n" ); document.write( ".12(20000) = 2400 \n" ); document.write( ".07(19000) = 1330 \n" ); document.write( "------------------- \n" ); document.write( "total int: 3730\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |