SOLUTION: Hello, I am having trouble with the following question: 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 yi

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hello, I am having trouble with the following question: 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 yi      Log On

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Question 1135557: Hello,
I am having trouble with the following question:
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.
I believe it would be 6% compounded but I'm not sure how to prove it.
Thank you so much in advance!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For simple interest:
+I+=+P%2Ar%2At+
+P+%2B+I+=+P%2A%28+1+%2B+r%2At+%29+
+P+%2B+i+=+1000%2A%28+1+%2B+.08%2A1+%29+
+P+%2B+i+=+1.08%2A1000+
+P+%2B+I+=+1080+
$1,080
--------------------------------
For compound interest:
+A+=+P%2A%28+1+%2B+r%2Fn+%29%5E%28n%2At%29+
+n+=+4+ (compounded quarterly )
+t+=+1+
+r+=+.06+
+A+=+1000%2A%28+1+%2B+.06%2F4+%29%5E%28+4%2A1+%29+
+A+=+1000%2A1.015%5E4+
+A+=+1000%2A1.06136+
+A+=+1061.36+
$1,061.36
The simple interest gives more return