8. Roger and Samantha are brother and sister that will split an inheritance equally. Roger spends his share on a perpetuity due paying 60,000 for the first 20 years and 90,000 thereafter. The price of this perpetuity is based on an annual effective rate of 4%. Samantha spends her share on an n year deferred perpetuity due paying 308,961.6427 annually, and the price she pays for her perpetuity is based on an annual effective rate of 5%. Find n