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# 10,000 is deposited in a certain account that pays r percent

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Intern
Joined: 19 Aug 2007
Posts: 17

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10,000 is deposited in a certain account that pays r percent [#permalink]

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17 Sep 2007, 02:11
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\$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 {1+(r/100)}^t. What amount will the deposit grow to in 3 years?

(1) D(t) = 11,000
(2) r =10

I do not understand what condtion (1) means. OA is "D", by the way. Thank you for helping me!

Kudos [?]: 24 [0], given: 0

Manager
Joined: 11 Jul 2006
Posts: 69

Kudos [?]: 78 [0], given: 0

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17 Sep 2007, 10:13
minnu wrote:
\$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 {1+(r/100)}^t. What amount will the deposit grow to in 3 years?

(1) D(t) = 11,000
(2) r =10

I do not understand what condtion (1) means. OA is "D", by the way. Thank you for helping me!

statm 1 tells us in t years you will get 11000.
set up the equation:
11000=10,000 {1+(r/100)}^t

you have two unknowns in this eq. t and r, the question stem tell you that t=3 years, so now you onlyhave one unknown r, which can be solve from the equation above. therefore, statm 1 is sufficient.

statm 2 tells you r.

you can plug this into the equation D(t) given t=3. sufficient.

therefore, the answer is D. Each alone is sufficient.

Kudos [?]: 78 [0], given: 0

CEO
Joined: 29 Mar 2007
Posts: 2553

Kudos [?]: 538 [0], given: 0

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17 Sep 2007, 12:12
minnu wrote:
\$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 {1+(r/100)}^t. What amount will the deposit grow to in 3 years?

(1) D(t) = 11,000
(2) r =10

I do not understand what condtion (1) means. OA is "D", by the way. Thank you for helping me!

Ya this is D. Even u don't understand interest problems (rarely see them on the GMAT), you can simply see that you have an equation with 2 unknowns.

t=3 so you can put that into the equation.

S1: gives you D(t)=11,000 so you can find r.

S2: gives you r so you can find D.

Both are suff.

No need to do all the calculations

Kudos [?]: 538 [0], given: 0

Re: DS compound interest   [#permalink] 17 Sep 2007, 12:12
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