EASY PERSONAL FINANCE PROBLEMS! Please include I/Y, Present value, Future value, N (time) and payment for each! THANK YOU!!!

Sara wants to buy a house. The house she wants is listed for $600,000, and she wants to avoid PMI insurance. She can get a fixed rate mortgage at 3.25% for 30 years. Dont worry about taxes and insurance for any of these questions, just keep in mind that those would need to be considered as well.

1.What down payment will she need?

2.If Sara makes her down payment and takes out the loan described, what will be her monthly payment?

3.If Sara makes her down payment and takes out the loan described, what will be the total cost of the house?

4.What would be the total cost of the house if she took out a 15-year mortgage at 2.50?

5. What if Sara can only pay a 15% down payment, what would her first monthly payment be for the 30-year mortgage at 3.25%? (Assume PMI insurance cost is 1% of the loan amount per year.)