You plan to deposit $4,000, $5,000, $6,000, $8,000, and $9,000 in the next five years, at the end of the year, in an account that promises to pay 5% with annual compounding. However, your friend presented to you a limited time offer from another bank that promises to pay 5%, but with monthly compounding. How much more will you have in your account in five years if you take the offer from your friends bank? Show all work.