document.write( "Question 394806: You plan to invest $25,000 in two funds paying 3% and 4 1/2% simple interest.(There is more risk in the 4 1/2% fund.) Your goal is to obtain a total annual interest income of $1000 from the investments. What is the smallest you can invest in the 4 1/2% fund in order to meet your objective? \n" ); document.write( "
Algebra.Com's Answer #280136 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You plan to invest $25,000 in two funds paying 3% and 4 1/2% simple interest.(There is more risk in the 4 1/2% fund.) Your goal is to obtain a total annual interest income of $1000 from the investments. What is the smallest you can invest in the 4 1/2% fund in order to meet your objective? \n" ); document.write( "----- \n" ); document.write( "Equations: \n" ); document.write( "Quantity: x + y = 25000 \n" ); document.write( "Interest:0.03x + 0.045y = 1000 \n" ); document.write( "----------------------------------- \n" ); document.write( "Multiply thru 1st by 3 \n" ); document.write( "Multiply thru 2nd by 100 \n" ); document.write( "--------------------------- \n" ); document.write( "3x + 3y = 3*25000 \n" ); document.write( "3x+4.5y = 100,000 \n" ); document.write( "------------------------- \n" ); document.write( "1.5y = 25000 \n" ); document.write( "y = 1666.67 (amt to invest at 4.5% \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |