Matt inherited as a trust a fifteen-year annuity with annual payments. He has been told that theannuity payments earn compound interest at a fixed rate and that, at the end of fifteen year,their accumulated value will be $37,804.39. He has further been assured that, figured at thissame rate of interest, the value of his inheritance was $15077.10. The trust executor will notreveal the amount of the annual payments. Determine this amount and also the annual effectiveinterest rate earned by the annuity payments.