On the first day of February Liam feeds one penny to his piggy bank. On each subsequent day he feeds his piggy bank twice as many pennies as he did the day before.
(a) How much money is in Liam's piggy bank at the end of the first week of February?
(b) How much money is in Liam's piggy bank at the end of February? Assume it's not a leap year.
On January 1st Kendra puts $100 into her bank account. On the first of each month after that she deposits an additional $100. Unfortunately, during the middle of the month she always has to withdraw 75% of her money to pay bills.
(a) How much money is in Kendra's account after her March deposit?
(b) How much money is in Kendra's account after the nth deposit? Write your answer in closed form.