$5.$ Xiang invests $$25,000$ per year, starting in one year, for $20$ years at an interest rate of $7\%.$ What is the value of the investment at the end of the $20$ years?

a$)$ $$1,096,629$

b$)$ $$1,024,887$

c$)$ $$283,390$

d$)$ $$264,850$