Answer
We make more money after 30 days if we get paid 1 penny on the first day and double each day.
Work Step by Step
If the pay is \$1000 per day, the total pay for 30 days is \$30,000.
If the pay is 1 penny on the first day and the pay is doubled each day, then the pay for day 30 is $2^{29}\times \$0.01$.
We know that $2^{10} \approx 1000$.
Then: $2^{29}\times \$0.01 \approx
2^9\times 1000\times1000\times \$0.01 = 2^9\times \$10,000 = 2^7\times\$40,000$
and this amount of money is much more than \$30,000.
Therefore, we will make much more money if we choose to get paid 1 penny on the first day and double it each day.
