The Best Proposition Puzzle

The Best Proposition Puzzle - 17 January

For extra income, Castiel decided to work on pizza hut for one-hour daily. The manager offers him that they will pay him $11 after every eleven days.
However, Castiel offered a different proposition to the manager. The offers stand as:
He will be paid just a penny on his first day.
Two pence will be paid on the second day,
Four pence will be paid on the third day.
And so on till 11th day.

Should the pizza hut manager accept his offer?

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