A couple has decided to purchase a $$180000$ house using a down payment of $$10000.$ They can amortize the balance at $12\%$ over $30$ years.

a$)$ What is their monthly payment?

Payment $=$ $

b$)$ What is the total interest paid?

Total interest paid $=$ $

c$)$ What is the equity after $5$ years?

Equity after $5$ years $=$ $

d$)$ What is the equity after $25$ years?

Equity after $25$ years $=$ $