Please show your work and if can use TVM calculator

Booker graduated 10 years ago and now wants to buy his first condo. He has saved enough for a 100,000 down payment and now wants to get a 400,000 mortgage to cover the cost of his new 500,000 home. His bank is offering him either a 3% 15 year mortgage or a 4% 30-year mortgage.

a. How much money he have to pay each month for 3% 15 year mortgage?

b. How much money he have to pay each month for 4% 30 year mortgage?

c. What would be the total amount he would have to pay for the 3% 15 year mortgage (interest and principal) ?

d. What would be the total amount he would have to pay for the 4% 30 year mortgage (interest and principal)?

e. Which mortgage do you think you would choose and why?