$($Compound annuity$)$ What is the accumulated sum of each of the following streams of payments?

a$.$ $$500$ a year for $9$ years compounded annually at $9$ percent.

b$.$ $$100$ a year for $6$ years compounded annually at $7$ percent.

c$.$ $$33$ a year for $13$ years compounded annually at $12$ percent.

d$.$ $$22$ a year for $6$ years compounded annually at $6$ percent.