Question

Would you rather have 100,00 everyday for 30 days or a penny a day that doubles in value everyday for 30 days

Answer 1

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