document.write( "Question 57088: Helen Weller invested $15,000 in an account that pays 11% simple interest. How much additional money must be invested in an account that pays 14% simple interest so that the average return on the two investments amounts to 12%?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #38802 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Helen Weller invested $15,000 in an account that pays 11% simple interest. How much additional money must be invested in an account that pays 14% simple interest so that the average return on the two investments amounts to 12%? \n" ); document.write( "------------- \n" ); document.write( "Interest #1: 15,000(0.11)= 1650 \n" ); document.write( "Interest #2: x(0.14)= 0.14x \n" ); document.write( "EQUATIOH: \n" ); document.write( "I think that word \"average\" can be misinterpreted on this problem. \n" ); document.write( "Using it in the normal sense gives a negative value of \"x\". \n" ); document.write( "Ignoring it you can get something meaningful, as follows: \n" ); document.write( "(int#1+int#2) = 0.12(15000+x) \n" ); document.write( "1650+0.14x = 1800+0.12x \n" ); document.write( "0.02x=150 \n" ); document.write( "x=15000/2=$7500 \n" ); document.write( "That's the amount invested at 14% required so the total investment \n" ); document.write( "will EQUAL 12% of all the money invested. \n" ); document.write( "Cheers, \n" ); document.write( "Stan h. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |