document.write( "Question 996833: An investor wants to invest $25,000 into two municipal bonds that pay 5.2% and 6% simple interest annually. The investor wants an annual income of $1350. The amount that should be invested at 5.2% is? \n" ); document.write( "

Algebra.Com's Answer #615126 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = amount invested at 5.2%
\n" ); document.write( "Let $\"+b+\"$ = amount invested at 6%
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+25000+\"$
\n" ); document.write( "(2) $\"+.052a+%2B+.06b+=+1350+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+52a+%2B+60b+=+1350000+\"$
\n" ); document.write( "(2) $\"+13a+%2B+15b+=+337500+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+13+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+13a+%2B+15b+=+337500+\"$
\n" ); document.write( "(1) $\"+-13a+-+13b+=+-325000+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( " $\"+2b+=+12500+\"$
\n" ); document.write( " $\"+b+=+6250+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+25000+\"$
\n" ); document.write( "(1) $\"+a+%2B+6250+=+25000+\"$
\n" ); document.write( "(1) $\"+a+=+18750+\"$
\n" ); document.write( "------------------
\n" ); document.write( "$18,750 is invested at 5.2%
\n" ); document.write( "$6,250 is invested at 6%
\n" ); document.write( "------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.052a+%2B+.06b+=+1350+\"$
\n" ); document.write( "(2) $\"+.052%2A18750+%2B+.06%2A6250+=+1350+\"$
\n" ); document.write( "(2) $\"+975+%2B+375+=+1350+\"$
\n" ); document.write( "(2) $\"+1350+=+1350+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );