Solve plz

3. (a) (6 points) Jake came up with a new recipe of hummus, and it's a huge hit! In order to become even richer, he decides to invest some of his prots into a bank account which has an interest rate of 2% per year, compounded annually. Suppose that Jake puts 200$ in the account at the start of each year, starting January 1, 2021. How much money will there be in total in the account on December 31, 2027? Show all of your work in the box below. There will be $ in the account. (b) (6 points) Julian would like to purchase a car. To pay for it, the car dealership has given him two payment options: 0 Option A: make one payment of l5,000$ today. 0 Option B: make payments of 100$ per month, starting today, every month for the \"rest of time\". If Julian has a bank account with an interest rate of 0.75% per month, compounded continu- ously, which of the two options should he take? Explain your reasoning in the box below