Alfred is saving up money for a down payment on a townhouse. He currently has $5016$ 5016, but knows he can get a loan at a lower interest rate if he can put down $5994$ 5994. If he invests the $5016$ 5016 in an account that earns 4.4%4.4% annually, compounded monthly, how long will it take Alfred to accumulate the $5994$ 5994? Round your answer to two decimal places, if necessary.

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.

While on vacation in las vegas jennifer, who is from utah, wins a progressive jackpot playing cards worth $15,875 at the casino royale. what implication does she encounter when she goes to collect her prize?

Which ranks these careers that employers are most likely to hire from the least to the greatest?