document.write( "Question 1152349: A woman has a total of $12,000 to invest. She invests part of the money in an account that pays 6% per year and the rest in an account that pays 8% per year. If the interest earned in the first year is $820, how much did she invest in each account?\r
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document.write( "She invested $ at 6% and $ at 8%. \n" );
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Algebra.Com's Answer #774355 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A woman has a total of $12,000 to invest. \n" ); document.write( " She invests part of the money in an account that pays 6% per year and the rest in an account that pays 8% per year. \n" ); document.write( " If the interest earned in the first year is $820, how much did she invest in each account? \n" ); document.write( ": \n" ); document.write( "let a = amt invested at 8% \n" ); document.write( "the total is 12000, therefore \n" ); document.write( "(12000-a) = amt invested at 6% \n" ); document.write( ": \n" ); document.write( ".08a + .06(12000-a) = 820 \n" ); document.write( ".08a + 720 - .06a = 820 \n" ); document.write( ".08a - .06a = 820 - 720 \n" ); document.write( ".02a = 100 \n" ); document.write( "a = 100/.02 \n" ); document.write( "a = $5000 invested at 8% \n" ); document.write( "then \n" ); document.write( "12000 - 5000 = $7000 invested at 6% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check the amt of interest of each \n" ); document.write( ".08(5000) = 400 \n" ); document.write( ".06(7000) = 420 \n" ); document.write( "---------------- \n" ); document.write( "total int: 820\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "She invested $7000 at 6% and $5000 at 8%. \n" ); document.write( " |