There is legend of a king who wanted to reward a boy for a good deed. The king gave the boy a choice. He could have $1,000,000 at once, or he could be rewarded daily for a 30-day month, with one penny on the first day, two pennies on the second day, and so on, receiving twice as many pennies each day as the previous day. How much would the second option be worth?

10,737,418.23 dollars

Step-by-step explanation:

The second option would be worth 2^x - 1, where x = days passed.

Because there are 30 days, the answer is 2^30 -1.

2^30 =  1073741824, making 2^30 - 1 = 1073741823.

It would be worth = 1073741823 cents, making it = 10,737,418.23 dollars

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.