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After 1 day you have $1

After 2 days you have $1 + $2 = $3

After 3 days you have $1 + $2 + $4 = $7

After n days you have $1 + $2 + $4 + ... + $2^(n-1) = $(2^n - 1)

The number of days in 3 months depends upon which three months are used; however, 3 months is 3/12 = 1/4 of the year. 1 year is approx 365 days, so 3 months is approx 365 ÷ 4 ≈ 91 days

So after three months you will have approx $(2^91 - 1) = $2,475,880,078,570,760,549,798,248,447 ≈ $2.476 × 10^27 or approx $2.476 octillion.

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Q: If you save one dollar each day and you double the amount of dollars you saved each day how much money would you have saved at the end of three months?
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