$($Perpetuities$)$ What is the present value of the following?

a$.$ A $$550$ perpetuity discounted back to the present at $12$ percent

b$.$ A $$4,000$ perpetuity discounted back to the present at $16$ percent

c$.$ A $$230$ perpetuity discounted back to the present at $13$ percent

d$.$ A $$85$ perpetuity discounted back to the present at $9$ percent

a$.$ What is the present value of a $$550$ perpetuity discounted back to the present at $12$ percent?

$ $($Round to the nearest cent.$)$