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On the first of the year, James invested x dollars at

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On the first of the year, James invested x dollars at [#permalink] New post 14 Jan 2005, 11:06
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On the first of the year, James invested x dollars
at Proudstar bank in an account that yields 2% in
interest every quarter year. At the end of the
year, during which he made no additional deposits
or withdrawals, he had y dollars in the account.
If James had invested the same amount in
an account which pays interest on a yearly basis,
what must the interest rate be for James to have
y dollars at the end of the year?

(A) 2.04%
(B) 6.12%
(C) 8%
(D) 8.25%
(E) 10%
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 [#permalink] New post 14 Jan 2005, 12:48
Is the answer C . I assume that interest is simple interest as nothing is mentioned in the question.
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 [#permalink] New post 14 Jan 2005, 13:17
I was gonna pick C since its not clear if the interest is compounded or simple. normally if the question doesnt specify, it is assumed simple interest.
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 [#permalink] New post 14 Jan 2005, 13:44
I would take it to be compound interest because of the words "yields". Since the quarterly yield is 2%, it means that every quarter yields 2% on the existing balance.

Answer: 8.25% (D)
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 [#permalink] New post 14 Jan 2005, 14:19
OA is (D)
Should the problem say "compound interest 2%" instead? Because by what they says, people would think it is "simple interest" which is 0.02x4 for a year and that is (C).

This is a question from Princeton Review course.
  [#permalink] 14 Jan 2005, 14:19
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