Pay your taxes: According to the Internal Revenue Service, the proportion of federal tax returns for which no tax was paid was p-0.326, As part of a tax audit, tax officials draw a simple sample of n-150 tax returns. Use Cumulative Normal Distribution Table as needed. Round your answers to at least four decimal places if necessary. what is the probability that the sample proportion of tax returns for which no tax was paid is between .35 and .41?

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

1. all other things equal, according to the law of demand, when the price of a good falls, the demand for the good falls the demand for the good rises the quantity demanded of the good falls the quantity demanded of the good rises 2. when a market is in equilibrium, the quantity of the good that buyers are willing and able to buy exactly equals the quantity that sellers are willing and able to sell cannot be determined is less than the quantity that sellers are willing and able to sell is greater than the quantity that sellers are willing and able to sell 3. which of the following factors does not influence the demand for a good or service? consumer (buyer) income the price of related goods the number of sellers buyer expectations 4. when the number of sellers in a market increases, demand rises supply rises the price rises, all else equal the number of buyers falls

You want to have $80,000 in your savings account 11 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. if the account pays 6.30 percent interest, what amount must you deposit each year? (do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)