document.write( "Question 86257: The Knox Valley investment club invested $8000 at 4.6% annual simple interest. How much additional money should they invest at an annual simple interest rate of 3.6%, so that the total annual interest earned from the two accounts is 4.0% of the total investment?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #62378 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The Knox Valley investment club invested $8000 at 4.6% annual simple interest. How much additional money should they invest at an annual simple interest rate of 3.6%, so that the total annual interest earned from the two accounts is 4.0% of the total investment? \n" ); document.write( "-------------- \n" ); document.write( "Amt.invested at 4.6% = 8000; interest on that is 0.046(8000) = 368 dollars \n" ); document.write( "Amt.invested at 3.6% = x ; interest on that is 0.036x dollars \n" ); document.write( "Amt. invested at 4% = 8000+x; interest on that is 0.04(8000+x) = 320+0.04x dollars \n" ); document.write( "------------------- \n" ); document.write( "EQUATIOn: \n" ); document.write( "interest + interest = interest \n" ); document.write( "368 + 0.036x = 0.040(8000+x) \n" ); document.write( "368 + 0.036x = 320+0.040x \n" ); document.write( "0.004x = 48 \n" ); document.write( "x = 12000 dollars (amt. of addtional money invested at 3.6%) \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( "EQUATION:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |