Financial Mathematics Problem

Jayce deposits $10,000 in Bank X on 1/1. Bank X credits interest at annual rate i = 15%. If Jayce decided to close his account, he'll receive simple interest up to the time of withdrawal. Jayce also visits Bank Y where he's told that he could open up an account anytime that year and receive /simple interest/ at annual rate i = 14.5%, paid from the date of deposit to 12/31.

Jayce is finding a way to maximize the return in his $10,000 over that year. Which one of the two choices, (a & b), would help hip to accomplish his goal?

a) Just leave his money in Bank X until 12/31. How much money will he be able to /withdraw/ on this day?

b) Jayce decides to pick a specific day to close his account at Bank X and immediately redeposit his fund in a new account in Bank Y. If this his ideal choice to accomplish his goal, what's the specific day and how much will he be able to withdraw from the Bank Y on 12/31?

Answer a and b