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0.99^99 or 1
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20 Jul 2020, 11:31
20 Jul 2020, 11:31
Expert Reply
00:00
Question Stats:
82% (00:11) correct
17% (00:21) wrong based on 39 sessions
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Quantity A |
Quantity B |
\((0.99)^{99}\) |
\(1\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 0.99^99 or 1
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21 Jul 2020, 09:48
21 Jul 2020, 09:48
Carcass wrote:
Quantity A |
Quantity B |
\((0.99)^{99}\) |
\(1\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Key Concept:
Since \(0 < 0.99 < 1\), we can conclude that \(0 < (0.99)^{99} < 1\)
Answer: B
Cheers,
Brent
Re: 0.99^99 or 1
[#permalink]
25 Jul 2020, 09:14
25 Jul 2020, 09:14
Carcass wrote:
Quantity A |
Quantity B |
\((0.99)^{99}\) |
\(1\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
The product of two values that are less than 1 will never yield a product that is greater than 1. Therefore, Quantity B is greater.
B
