SOLUTION: On the first day, Nabil put $1 in a big box. Then, each succeeding day, he added to the box exactly twice as many dollars as he did on the previous day. On which day will Nabil hav

Question 206580: On the first day, Nabil put $1 in a big box. Then, each succeeding day, he added to the box exactly twice as many dollars as he did on the previous day. On which day will Nabil have more than $1000 in his box for the first time?
(A) 8th day (B) 9th day (C) 10th day (D) 11th day (E) 1000th day
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
On the first day, Nabil put $1 in a big box. Then, each succeeding day, he added to the box exactly twice as many dollars as he did on the previous day. On which day will Nabil have more than $1000 in his box for the first time?
-----------
Day Total
1 $1
2 $3
3 $7
4 $15
5 $31
The total is 2^d - 1
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On day #10, this is $1023, which is more than $1000.

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