document.write( "Question 661041: A professor wants to supplement her pension with investment interest. If she invests $34,000 at 4% interest, how much more would she have to invest at 9% to achieve a goal of $2,440 per year in supplemental income? \n" ); document.write( "
Algebra.Com's Answer #411470 by colliefan(242)\"\" \"About 
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The goal is $2440.\r
\n" ); document.write( "\n" ); document.write( "From the first account, she makes $34,000*4% = $1360\r
\n" ); document.write( "\n" ); document.write( "The amount she still needs is: $2440-1360 = $1080\r
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\n" ); document.write( "\n" ); document.write( "Now, how much does she need to invest to have $1080 at the end of the year if the interest is at 9%?\r
\n" ); document.write( "\n" ); document.write( "The number 1080 is the amount invested plus the amount of the interest earned. \r
\n" ); document.write( "\n" ); document.write( "if x is the amount invested:
\n" ); document.write( "x + x*9% = 1080
\n" ); document.write( "1x + x*9% = 1080
\n" ); document.write( "x(1 + 9%) = 1080
\n" ); document.write( "x(1+.09) = 1080
\n" ); document.write( "x(1.09) = 1080
\n" ); document.write( "x(1.09)*1/1.09 = 1080*1/1.09
\n" ); document.write( "x = 1080/1.09
\n" ); document.write( "x = $990.83\r
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