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At the beginning of January 2003, Elizabeth invested money

Expert replies
by AAPL » Sat Jan 19, 2019 5:41 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Magoosh

At the beginning of January 2003, Elizabeth invested money in an account that collected interest, compounding more frequently than a year. Assume the annual percentage rate of interest remained constant. What is the total amount she has invested after seven years?

1) her initial investment was $20,000.
2) the account accrued 7% annual interest.

OA E
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Sun Jan 20, 2019 4:19 am
AAPL wrote:Magoosh

At the beginning of January 2003, Elizabeth invested money in an account that collected interest, compounding more frequently than a year. Assume the annual percentage rate of interest remained constant. What is the total amount she has invested after seven years?

1) her initial investment was $20,000.
2) the account accrued 7% annual interest.

OA E
Say Elizabeth invested $P at r% per annum rate of interest, and the interested in compounded n times in a year.

Thus, the rate of interest per period = (r/n)% and the number of periods = 7n

Thus, the amount (Say A) after 7 years

A = P(1 + (r/n)%)^7n

So, there are three variables: P, r and n.

Even both the statements are insufficient since we still do not know periodicity, i.e., n. Insufficient

The correct answer: E

Hope this helps!

-Jay
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