Assume a bank offers an effective annual rate of 7.73%. If compounding is monthly what is the APR?

Derek plans to buy a $31,423.00 car. The dealership offers zero percent financing for 48.00 months with the first payment due at signing (today). Derek would be willing to pay for the car in full today if the dealership offers him $____ cash back. He can borrow money from his bank at an interest rate of 5.19%.

Derek wants to withdraw $10,019.00 from his account 8.00 years from today and $13,250.00 from his account 15.00 years from today. He currently has $3,307.00 in the account. How much must he deposit each year for the next 15.0 years? Assume a 5.35% interest rate. His account must equal zero by year 15.0 but may be negative prior to that.