document.write( "Question 693792: Please help: A person plans to invest three times as much in an account at 3% interest as in an account at 15% annual interest. How much should the person invest in each account to earn a total of $240 in one year?\r
\n" );
document.write( "\n" );
document.write( "Thank you~ \n" );
document.write( "
Algebra.Com's Answer #427609 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A person plans to invest three times as much in an account at 3% interest as in an account at 15% annual interest. \n" ); document.write( " How much should the person invest in each account to earn a total of $240 in one year? \n" ); document.write( ": \n" ); document.write( "let a = amt invested at 15% \n" ); document.write( "then \n" ); document.write( "3a = amt invested at 3% \n" ); document.write( ": \n" ); document.write( ".03(3a) + .15a = 240 \n" ); document.write( ".09a + .15a = 240 \n" ); document.write( ".24a = 240 \n" ); document.write( "a = 240/.24 \n" ); document.write( "a = $1000 invested at 15% \n" ); document.write( "and \n" ); document.write( "3(1000) = $9000 at 3% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this out, find how much interest earned by each investment: \n" ); document.write( ".15*1000 = 150 \n" ); document.write( ".03*3000 = 90 \n" ); document.write( "--------------------- \n" ); document.write( "total int 240 \n" ); document.write( " |