document.write( "Question 926636: Two certificates of deposits (CDs) pay interest at rates that differ by 4%. Money invested for 1 year in the first CD earns $50 interest. The same amount invested in the second CD earns $90. Find the two rates of interest. Thank you so much for whoever takes the time to help me. \n" ); document.write( "
Algebra.Com's Answer #562384 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
They don't say that it's compound interest, so
\n" ); document.write( "it must be a simple interest problem
\n" ); document.write( "Let \"+r+\" = the rate for the 1st CD
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\n" ); document.write( "The 2nd CD earns $40 more, so it must be
\n" ); document.write( "a higher rate, so it is:
\n" ); document.write( "\"+r+%2B+.04+\"
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\n" ); document.write( "Let \"+A+\" = amount invested at each rate
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\n" ); document.write( "Equation for1st rate:
\n" ); document.write( "(1) \"+A%2Ar=+50++\"
\n" ); document.write( "Equation for 2nd rate:
\n" ); document.write( "(2) \"+A%2A%28+r+%2B+.04+%29+=+90+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) \"+A+=+50%2Fr+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+A+=+90%2F%28+r+%2B+.04+%29+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "I can say:
\n" ); document.write( "\"+50%2Fr+=+90%2F%28+r+%2B+.04+%29+\"
\n" ); document.write( "\"+50%2A%28+r+%2B+.04+%29+=+90r+\"
\n" ); document.write( "\"+50r+%2B+2+=+90r+\"
\n" ); document.write( "\"+40r+=+2+\"
\n" ); document.write( "\"+r+=+1%2F20+\"
\n" ); document.write( "\"+r+=+.05+\"
\n" ); document.write( "and
\n" ); document.write( "\"+r+%2B+.04+=+.09+\"
\n" ); document.write( "The rates are 5% and 9%
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\n" ); document.write( "check:
\n" ); document.write( "(1) \"+A+=+50%2Fr+\"
\n" ); document.write( "(1) \"+A+=+50%2F.05+\"
\n" ); document.write( "(1) \"+A+=+1000+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+A+=+90%2F%28+r+%2B+.04+%29+\"
\n" ); document.write( "(2) \"+A+=+90%2F%28+.05+%2B+.04+%29+\"
\n" ); document.write( "(2) \"+A+=+90%2F.09+\"
\n" ); document.write( "(2) \"+A+=+1000+\"
\n" ); document.write( "OK
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