document.write( "Question 1135557: Hello,\r
\n" ); document.write( "\n" ); document.write( "I am having trouble with the following question:\r
\n" ); document.write( "\n" ); document.write( "Suppose you have $1,000 to invest. You can either invest in a CD that yields an 8% simple interest, or in a CD that yields a 6% interest if compounded quarterly. Which investment will yield a greater return at the end of one year. Show work to prove your answer.\r
\n" ); document.write( "\n" ); document.write( "I believe it would be 6% compounded but I'm not sure how to prove it.\r
\n" ); document.write( "\n" ); document.write( "Thank you so much in advance!
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Algebra.Com's Answer #753189 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
For simple interest:
\n" ); document.write( "\"+I+=+P%2Ar%2At+\"
\n" ); document.write( "\"+P+%2B+I+=+P%2A%28+1+%2B+r%2At+%29+\"
\n" ); document.write( "\"+P+%2B+i+=+1000%2A%28+1+%2B+.08%2A1+%29+\"
\n" ); document.write( "\"+P+%2B+i+=+1.08%2A1000+\"
\n" ); document.write( "\"+P+%2B+I+=+1080+\"
\n" ); document.write( "$1,080
\n" ); document.write( "--------------------------------
\n" ); document.write( "For compound interest:
\n" ); document.write( "\"+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29+\"
\n" ); document.write( "\"+n+=+4+\" (compounded quarterly )
\n" ); document.write( "\"+t+=+1+\"
\n" ); document.write( "\"+r+=+.06+\"
\n" ); document.write( "\"+A+=+1000%2A%28+1+%2B+.06%2F4+%29%5E%28+4%2A1+%29+\"
\n" ); document.write( "\"+A+=+1000%2A1.015%5E4+\"
\n" ); document.write( "\"+A+=+1000%2A1.06136+\"
\n" ); document.write( "\"+A+=+1061.36+\"
\n" ); document.write( "$1,061.36
\n" ); document.write( "The simple interest gives more return\r
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