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? 
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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.