(a) Carlos is saving up for the downpayment on a house. They will make quarterly deposits of $1, XXXXXXXXXXat the start of each period) into a savings account paying 4.40% compounded daily. After 51...

(a) Carlos is saving up for the downpayment on a house. They will make quarterly deposits of $1,000.00 (at the start of each period) into a savings account paying 4.40% compounded daily. After 51 periods, they will change the quarterly deposit amount to $3,000.00. How much money will they have in their account after 102 more periods (153 periods in total)?

(b) Aditya wins a bet! Wing Sze will pay Aditya $3.00 at the start of every two weeks for 84 periods. Currently, the interest rate is 3.15% compounded bi-weekly, but Aditya expects it to change to 3.65% at the end of 42 periods. How much would Aditya accept in cash to settle the bet?