The boss hired her because she was smart enough to see that the second rate of pay was much better. At the end of the tenth day, with the first rate of pay, she would have earned $100. With the second rate of pay, she would have earned 2x2x2x2x2x2x2x2x2 cents, which is 512 cents on the tenth day. Her total earnings would be $10.23 for ten days of work. On the 27th day she would have earned $270 with the first rate, and with the second rate she would be a millionaire! She would have earned a total of two times itself twenty-seven times, less one cent, or $1,342,177.27!