document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1114410>Question 1114410</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mr. smith invests part of $8000 at 4% and the remainder at 6%. the annual effective rate on his total investment is 4.4%. find the amount invested at each rate. </SPAN>\n" );
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document.write( "Obviously, if all the money were invested at 4%, the effective overall rate would be 4%; if it were all invested at 6%, the effective rate would be 6%.<br><BR>\n" );
document.write( "It should also be intuitive that if the money were split evenly between 4% and 6%, the effective rate would be 5%.<br><BR>\n" );
document.write( "In general, where the effective rate lies between 4% and 6% exactly determines the ratio in which the money must be split between the two investments.<br><BR>\n" );
document.write( "The effective rate, 4.4%, is 1/5 of the way from 4% to 6%. (4.4-4 = 0.4; 6-4 = 2; 0.4/2 = 0.2 = 1/5).  That means exactly 1/5 of the money was invested at the higher rate.<br><BR>\n" );
document.write( "Answer: 1/5 of  the $8000 = $1600 at 6%; the rest ($6400) at 4%. </SPAN>\n" );
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