Please show all work.

Please show all work through calculations or with a HP10bll calculator.

33. You have decided to fund a growing perpetuity to support the restoration of bee colonies in Massachusetts. The first payment will be in three years and you would like payments to increase by 4% each year. If interest rates are 6% APR and you invest $44,500 today, what will the third payment (the payment in year 5) be? A) $963 B) $1000 C) $1082 D) $1147