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

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A certain investment doubled in value every 9 years. If Saidah had \$25  [#permalink]

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30 Jul 2018, 00:55
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25% (medium)

Question Stats:

78% (01:34) correct 22% (01:40) wrong based on 88 sessions

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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]

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30 Jul 2018, 01:04
1
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]

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31 Jul 2018, 01:06
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

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Re: A certain investment doubled in value every 9 years. If Saidah had \$25  [#permalink]

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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]

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10 Aug 2018, 19:08
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

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Re: A certain investment doubled in value every 9 years. If Saidah had \$25   [#permalink] 10 Aug 2018, 19:08
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