document.write( "Question 86251: An investment club wants to invest $50,000 in two simple interest accounts. One account earns 8.4% annual simple interest and the other account earns 11.9% annual simple interest. How much should be invested in each account so that both accounts earn the same annual interest?
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Algebra.Com's Answer #62427 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! An investment club wants to invest $50,000 in two simple interest accounts. One account earns 8.4% annual simple interest and the other account earns 11.9% annual simple interest. How much should be invested in each account so that both accounts earn the same annual interest? \n" ); document.write( ": \n" ); document.write( "Let x = amt invested at 8.4$ \n" ); document.write( "Then \n" ); document.write( "(50000 - x) = amt invested at 11.9% \n" ); document.write( ": \n" ); document.write( "Interest at 8.4% = interest 11.9% \n" ); document.write( ".084x = .119(50000-x) \n" ); document.write( ".084x = 5950 - .119x \n" ); document.write( ".084x + .119x = 5950 \n" ); document.write( ".203x = 5950 \n" ); document.write( "x = 5950/.203 \n" ); document.write( "x = $29,310.34 invested at 8.4% \n" ); document.write( ": \n" ); document.write( "50000 - 29310.34 = $20,689.66 invested at 11.9% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check our solutions to see if interests are equal: \n" ); document.write( ".084 * 29310.34 = 2462.07 \n" ); document.write( ".119 * 20689.66 = 2462.07 \n" ); document.write( " |