Mr. Jones now has a $100,000 balance in a bank account which earns 7% annual interest. One year from now, he will withdraw 10% of the total amount in the account and reinvest that amount withdrawn in a different account earning 12% at a second bank. He repeats this procedure each year thereafter, transferring 10% of his account at the first bank to the second bank. After 40 years from now, how much does he have at each bank? (Hint: You are not allowed to calculate values at banks each year starting with year 1 till year 40. You should use the engineering economy factors we learned in the lecture)