document.write( "Question 1207481: Linda Smaoke invests a total of $10,000 in two savings accounts. One account pays 6% interest, and the other,7%. Find the amount placed in each account if the accounts receive a total of $660 in interest after 1 year. \n" ); document.write( "
Algebra.Com's Answer #845376 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Let the 7% investment be x dollars;\r\n" ); document.write( " \r\n" ); document.write( "then the 6% investment is (10000-x) dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Partial interests from separate accounts are 0.07x and 0.06*(10000-x) dollars, respectively.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The total annual interest equation is\r\n" ); document.write( "\r\n" ); document.write( " 0.07x + 0.06*(10000-x) = 660 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify this equation and find x\r\n" ); document.write( "\r\n" ); document.write( " 0.07x + 600 - 0.06x = 660\r\n" ); document.write( "\r\n" ); document.write( " 0.07x - 0.06x = 660 - 600\r\n" ); document.write( "\r\n" ); document.write( " 0.01x = 60\r\n" ); document.write( "\r\n" ); document.write( " x = 60/0.01 = 6000 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the 7% investment is $6000; the 6% investment is the rest, $10000 - $6000 = $4000.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Thus you get the answer.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 0.07*6000 + 0.06*4000 = 420 + 240 = 660 dollars. ! precisely correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The other person made an arithmetic error on the way and did not fix it.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This led him/her to wrong answer.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let this example teaches you on how important is to make a full-size check at the end.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Without such full-size check the solution is not complete !\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " And can not be considered/recognized/accepted as an error-free !\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |