SOLUTION: You recieve a penny on January 1st, two cents the next day, four cents the next and so on,doubling every day. How long will it take to be a millionaire? Suppose you started with a

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Question 590908: You recieve a penny on January 1st, two cents the next day, four cents the next and so on,doubling every day. How long will it take to be a millionaire? Suppose you started with a nickle and doubled, how long before you were worth a million dollars?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You recieve a penny on January 1st, two cents the next day, four cents the next and so on,doubling every day. How long will it take to be a millionaire?
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The total each day is 2%5Ed+-+1 cents.
$1,000,000 = 100,000,000 cents.
2%5Ed+-+1+=+100000000
2%5Ed+=+99999999
d*log(2) = log(99999999}
d = log(99999999)/log(2)
d =~ 26.575 days
--> 26 days
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Suppose you started with a nickle and doubled, how long before you were worth a million dollars?
$1,000,000 = 100,000,000 cents = 20,000,000 nickels
Amt = 5%2A%282%5Ed+-+1%29+=+100000000
2%5Ed+-+1+=+20000000
2%5Ed+=+19999999
d*log(2) = log(19999999}
d = log(19999999)/log(2)
d =~ 24.25 days
--> 25 days
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Not much difference. If you multiply by 5 each day, it was reduce the time more drastically.