The Pirerras are planning to go to Europe 4 years from now and have agreed to set aside $160/month for their trip. If they deposit this money at the end of each month into a savings account paying interest at the rate of 5%/year compounded monthly, how much money will be in their travel fund at the end of the fourth year

White truffles are a very prized and rare edible fungus that grow naturally in the countryside near alba, italy. suppose that it costs $200 per day to search for white truffles. on an average day, the total number of white truffles (t) found in alba is t = 20x − x 2 , where x is the number of people searching for white truffles on that day. white truffles can be sold for $100 each. if there is no regulation, how many more people will be searching for white truffles than the socially optimal number?