Fisheries officials are stocking a barren lake with pike, whose number will increase annually at 40%. Fishing is prohibited the first 2 years and then 5000 pike can be removed in each of the 3rd and 4th years, so that the number remaining after the 4th year is the same as the original number stocked in the lake. Find the original number assuming that stocking takes place at the start of the year and removal takes place midyear. EXPLAIN EACH STEP