Today you have $100,000 in your investment account, which will grow by 7.5% annually. If you keep investing $600 every month, how many months does it take for your account balance to increase to $300,000?

Uppose the book-printing industry is competitive and begins in a long-run equilibrium. then hi-tech printing company invents a new process that sharply reduces the cost of printing books. suppose hi-tech's patent prevents other firms from using the new technology. which of the following statements are true about what happens in the short run? check all that apply. hi-tech's average-total-cost curve shifts downward. hi-tech's profits increase. the price of books remains the same. hi-tech's marginal-cost curve remains the same.

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.

Fill in the missing words to correctly complete each sentence about analyzing a job posting. when reviewing a job posting, it’s important to check theto determine whether it’s worth your time to apply. if the post has been up for a while or it’s already closed, move on to the next position. if it’s still available, take note of when it closes so you’ll know when you mayfrom the company in regard to an interview.