59.9k views
0 votes
Would you rather have 100,00 everyday for 30 days or a penny a day that doubles in value everyday for 30 days

1 Answer

3 votes

Answer:

A penny a day that doubles in value everyday for 30 days

Explanation:

If you get 100,000 every day for thirty days, you end up with $3,000,000

A penny that doubles in value every day can be represented by V(value)=
2^d

By the
10^t^h day, you have
2^1^0 = 1024 pennies, which doesn't seem like much, but as time goes on, the amount continuously doubles.

By day 20 you have
2^2^0 = 1048576 pennies.

By day 30, you have $10,737,418.24, which is more than 3 times as much as getting $100k every day

User Gonzalo Dambra
by
3.4k points