document.write( "Question 990286: Your grandmother needs your help. She has $50,000 to invest. Part of this money is to be invested in noninsured bonds paying 15% annual interest. The rest of this money is to be invested in a government-insured certificate of deposit paying 7% annual interest. She told you that she requires $6000 per year in extra income from both of these investments. How much money should be placed in each investment? \n" ); document.write( "
Algebra.Com's Answer #610322 by macston(5194)\"\" \"About 
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\n" ); document.write( "F=amount at 15%; S=amount at 7%
\n" ); document.write( ".
\n" ); document.write( "F+S=$50000
\n" ); document.write( "S=$50000-F Use this to substitute for S.
\n" ); document.write( ".
\n" ); document.write( "0.07S+0.15F=$6000 Substitute for S from above.
\n" ); document.write( "0.07($50000-F)+0.15F=$6000
\n" ); document.write( "$3500-0.07F+0.15F=$6000
\n" ); document.write( "0.08F=$2500
\n" ); document.write( "F=$31250
\n" ); document.write( "ANSWER 1: $31250 should be invested at 15%.
\n" ); document.write( "S=$50000-F=$50000-$31250=$18750
\n" ); document.write( "ANSWER 2: $18750 should be invested at 7%.
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\n" ); document.write( "CHECK:
\n" ); document.write( "0.07S+0.15F=$6000
\n" ); document.write( "0.07($18750)+0.15($31250)=$6000
\n" ); document.write( "$1312.50+$4687.50=$6000
\n" ); document.write( "$6000=$6000\r
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