Mary is hired by ABC Company on $1/1/85.$ She is eligible to qualify for the company's new hire bonus program. If an employee qualifies at year$-$end, she will receive a cash bonus payable in two equal installments, half on January $1$ and half on July $1.$

The first$-$year bonus is $$2,000$ and increases by $$2,000$ each year. Assuming Mary qualified each year $($i$.$e$.$ she received her first payments on $1/1/86)$ and deposited her bonus in an account that pays an $8\%$ annual effective rate of interest, what is the accumulated value of her bonus payments through $7/1/90?$

A$.$ Less than $$33,500$

B$.$ At least $$33,500,$ but less than $$33,750$

C$.$ At least $$33,750,$ but less than $$34,000$

D$.$ At least $$34,000,$ but less than $$34,250$

E$.$ At least $$34,250$