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A certain investment doubled in value every 9 years. If Saidah had $25

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Bunuel
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A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink] New post   30 Jul 2018, 00:55
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A certain investment doubled in value every 9 years. If Saidah had $25,125 in the investment when she was 27 years old, what was the value of the investment when she retired at 63 years old?


(A) $50,250

(B) $150,750

(C) $201,000

(D) $251,250

(E) $402,000
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Re: A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink] New post   30 Jul 2018, 01:04
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Ans; E

X'= (2)^n * X
here time duration to double is 9 years : so from 27 to 63 total 4 Double time durations. so n=4
X' = 2^4 * 25125 = 16*25125 = $402,000

Bunuel wrote:
A certain investment doubled in value every 9 years. If Saidah had $25,125 in the investment when she was 27 years old, what was the value of the investment when she retired at 63 years old?

(A) $50,250

(B) $150,750

(C) $201,000

(D) $251,250

(E) $402,000
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Re: A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink] New post   31 Jul 2018, 01:06
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Bunuel wrote:
A certain investment doubled in value every 9 years. If Saidah had $25,125 in the investment when she was 27 years old, what was the value of the investment when she retired at 63 years old?


(A) $50,250

(B) $150,750

(C) $201,000

(D) $251,250

(E) $402,000


Number of times the investment is doubled = (63-27)/ 9 = 4

The answer choices are spread out so we can make some approximation. So Consider Sadish has $25,000

Period 1: 50,000
Period 2: 100,00
Period 3: 200,000
Period 4 : 400,000

The closes answer is $402,000

Answer: E
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Re: A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink] New post   31 Jul 2018, 07:57
Bunuel wrote:
A certain investment doubled in value every 9 years. If Saidah had $25,125 in the investment when she was 27 years old, what was the value of the investment when she retired at 63 years old?


(A) $50,250

(B) $150,750

(C) $201,000

(D) $251,250

(E) $402,000


27 Years , Investment is $25,125
36 Years , Investment is $50,250
45 Years , Investment is $1,00,500
54 Years , Investment is $ 2,01,000
63 Years , Investment is $4,02,000 Answer must be (E)
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Re: A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink] New post   10 Aug 2018, 19:08
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Bunuel wrote:
A certain investment doubled in value every 9 years. If Saidah had $25,125 in the investment when she was 27 years old, what was the value of the investment when she retired at 63 years old?


(A) $50,250

(B) $150,750

(C) $201,000

(D) $251,250

(E) $402,000


We are given that Saidah’s investment doubled in value every 9 years, so let’s keep track how much she will have every 9 years, beginning with age 27:

Age 27: $25,125

Age 36: $50,250

Age 45: $100,500

Age 54: $201,000

Age 63: $402,000

Answer: E
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Re: A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink] New post   09 Feb 2022, 05:13
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Re: A certain investment doubled in value every 9 years. If Saidah had $25 [#permalink]
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