document.write( "Question 1130528: Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25 % interest, bonds pay 4.3 % interest, and stocks pay 6.5 % interest. Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the investments is $ 7392.50, how much was invested in each account? \n" ); document.write( "
Algebra.Com's Answer #753223 by VFBundy(438)\"\" \"About 
You can put this solution on YOUR website!
CDs:
\n" ); document.write( "Principal = p
\n" ); document.write( "Rate = 0.0325
\n" ); document.write( "Interest = 0.0325p
\n" ); document.write( "
\n" ); document.write( "Bonds:
\n" ); document.write( "Principal = p + 30000
\n" ); document.write( "Rate = 0.043
\n" ); document.write( "Interest = 0.043(p + 30000) = 0.043p + 1290
\n" ); document.write( "
\n" ); document.write( "Stocks:
\n" ); document.write( "Principal = 170000 - p - (p + 30000) = 140000 - 2p
\n" ); document.write( "Rate = 0.065
\n" ); document.write( "Interest = 0.065(140000 - 2p) = 9100 - 0.13p
\n" ); document.write( "
\n" ); document.write( "Total interest:
\n" ); document.write( "
\n" ); document.write( "(0.0325p) + (0.043p + 1290) + (9100 - 0.13p) = 7392.50
\n" ); document.write( "
\n" ); document.write( "Simplify:
\n" ); document.write( "
\n" ); document.write( "-0.0545p + 10390 = 7392.50
\n" ); document.write( "
\n" ); document.write( "-0.0545p = -2997.50
\n" ); document.write( "
\n" ); document.write( "Solve for p:
\n" ); document.write( "
\n" ); document.write( "p = 55000
\n" ); document.write( "
\n" ); document.write( "From earlier:
\n" ); document.write( "
\n" ); document.write( "CDs:
\n" ); document.write( "Principal = p = 55000
\n" ); document.write( "
\n" ); document.write( "Bonds:
\n" ); document.write( "Principal = p + 30000 = 55000 + 30000 = 85000
\n" ); document.write( "
\n" ); document.write( "Stocks:
\n" ); document.write( "Principal = 140000 - 2p = 140000 - 110000 = 30000 \n" ); document.write( "
\n" );