What duration of annuity paying $5000 at the end of every quarter can be purchased with $200,000

Question:

What duration of paying $5000 at the end of every quarter can be purchased with $200,000 if the invested funds earn 5.5% compounded semiannually?
Annuity
An annuity is a series of equal payment made at equal intervals during a period of time. In other words annuity is a contract between insurer and insurance company in which insurer make a lump-sum payment or a series of payment and, in return,...