document.write( "Question 1122414: Paul has $40,000 to invest. his intent is to earn 6% interest on his investment. He can invest part of his money at 5% and part at 9% interest. How much does Paul need to invest in each option to make a total of 6% return on his $40,000? I don't even know where to start with this. I have no clue how to put this into equation form. I would appreciate a little help. THANK YOU!!! \n" ); document.write( "

Algebra.Com's Answer #738543 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Paul has $40,000 to invest. his intent is to earn 6% interest on his investment. He can invest part of his money at 5% and part at 9% interest. How much does Paul need to invest in each option to make a total of 6% return on his $40,000? I don't even know where to start with this. I have no clue how to put this into equation form. I would appreciate a little help. THANK YOU!!!
\n" ); document.write( "

Let amount that he needs to invest at 5% be F
\n" );
document.write( "Then amount he needs to invest at 9% is: 40,000 - F
\n" );
document.write( "We then get the following EARNINGS equation: .05F + .09(40,000 - F) = .06(40,000)
\n" );
document.write( ".05F + 3,600 - .09F = 2,400
\n" );
document.write( ".05F - .09F = 2,400 - 3,600
\n" );
document.write( "- .04F = - 1,200
\n" );
document.write( "F, or amount he needs to invest at 5% = 
\n" );
document.write( "Amount he needs to invest at 9% = 
\n" );
document.write( "You need to do your own check! \n" );
document.write( "

\n" );