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If it is well known that (1.0001)^100

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If it is well known that (1.0001)^100  [#permalink]

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New post 24 Apr 2016, 08:03
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If it is well known that (1.0001)^100 is approximately 1.01 and (1.01)^100 is approximately 2.7, what is the value of ((1.0001)^200)^200 approximately?
A. 43 B. 47 C. 53 D. 61 E. 64

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Re: If it is well known that (1.0001)^100  [#permalink]

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New post 24 Apr 2016, 10:06
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smartguy595 wrote:
If it is well known that (1.0001)^100 is approximately 1.01 and (1.01)^100 is approximately 2.7, what is the value of ((1.0001)^200)^200 approximately?
A. 43 B. 47 C. 53 D. 61 E. 64



((1.0001)^200)^200 = ((1.0001)^100)^400 = ((1.01)^400) = (2.7)^4 = between 50 and 60
ans 53
C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: If it is well known that (1.0001)^100  [#permalink]

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New post 07 Jun 2016, 04:48
chetan2u wrote:
smartguy595 wrote:
If it is well known that (1.0001)^100 is approximately 1.01 and (1.01)^100 is approximately 2.7, what is the value of ((1.0001)^200)^200 approximately?
A. 43 B. 47 C. 53 D. 61 E. 64



((1.0001)^200)^200 = ((1.0001)^100)^400 = ((1.01)^400) = (2.7)^4 = between 50 and 60
ans 53
C

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Re: If it is well known that (1.0001)^100  [#permalink]

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New post 07 Jun 2016, 07:10
smartguy595 wrote:
If it is well known that (1.0001)^100 is approximately 1.01 and (1.01)^100 is approximately 2.7, what is the value of ((1.0001)^200)^200 approximately?
A. 43 B. 47 C. 53 D. 61 E. 64


((1.0001)^200)^200
((1.0001)^100 * (1.0001)^100)^200

(1.01*1.01)^200

(1.01)^400

2.7^4= 53 (approx)
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Re: If it is well known that (1.0001)^100  [#permalink]

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New post 31 Oct 2018, 05:51
Hello from the GMAT Club BumpBot!

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Re: If it is well known that (1.0001)^100 &nbs [#permalink] 31 Oct 2018, 05:51
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