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

Algebra.Com
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)   (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?
---
The total each day is cents.
$1,000,000 = 100,000,000 cents.


d*log(2) = log(99999999}
d = log(99999999)/log(2)
d =~ 26.575 days
--> 26 days
-------------------
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 =


d*log(2) = log(19999999}
d = log(19999999)/log(2)
d =~ 24.25 days
--> 25 days
----------------
Not much difference. If you multiply by 5 each day, it was reduce the time more drastically.

RELATED QUESTIONS

You receive a penny on Jan 1, 2 cents the next day, 4 cents the next day and so on,... (answered by Earlsdon)
You will receive 10 cents on the first day every day after this your payment will double... (answered by Alan3354)
A college girl applied for a job advertised in her local newspaper. The boss,who... (answered by Boreal)
suppose you place a single penny on a checkerboard corner square, two pennies on the next (answered by scott8148)
If I saved one cent on January 1st, and two cents on January 2nd, and 3 cents on January... (answered by Edwin McCravy)
You plan to save 1 cent the first day of the month, 2 cents the second day, 4 cents the... (answered by venugopalramana)
Dave and bill each start saving today. Dave saves 30 cents per day. Bill saves 1 cent on... (answered by mananth)
In order to buy a new computer, you need $650. Your job offers in one of two ways: Option (answered by ikleyn)
My uncle has 6 million dollars to spend. On the first day he spent $1, on the second day (answered by jorel555)