document.write( "Question 146114: Donna invested her $33,000 bonus and received a total of $970 in interest after 1 year. If part of her money returned 4% and the remainder 2.25% then how much did she invest at each rate? \n" ); document.write( "

Algebra.Com's Answer #106683 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = amount invested @ 4%
\n" ); document.write( "Let $\"b\"$ = amount invested @ 2.25%
\n" ); document.write( " $\"a+%2B+b+=+33000\"$
\n" ); document.write( " $\".04a+%2B+.0225b+=+970\"$
\n" ); document.write( " $\"b+=+33000+-+a\"$
\n" ); document.write( " $\".04a+%2B+.0225%2A%2833000+-+a%29+=+970\"$
\n" ); document.write( " $\".04a+%2B+742.5+-+.0225a+=+970\"$
\n" ); document.write( " $\".0175a+=+227.5\"$
\n" ); document.write( " $\"a+=+13000\"$
\n" ); document.write( " $\"b+=+33000+-+a\"$
\n" ); document.write( " $\"b+=+20000\"$
\n" ); document.write( "She invested $13,000 at 4% and $20,000 at 2.25%
\n" ); document.write( "check answer:
\n" ); document.write( " $\".04a+%2B+.0225b+=+970\"$
\n" ); document.write( " $\".04%2A13000+%2B+.0225%2A20000+=+970\"$
\n" ); document.write( " $\"520+%2B+450+=+970\"$
\n" ); document.write( " $\"970+=+970\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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