$1.$ You know you will need $$25,000$ at the end of $5$ years. How much would you have to deposit annually, starting at the end of the first year, into an account earning $10\%$ to accumulate the needed amount?

a$.$ $$3,980$

b$.$ $$4,095$

c$.$ $$4,435$

d$.$ $$4,973$

e$.$ $$6,595$

Please show step by step work.