A pearl grows in an oyster at a continuously compounded rate of .24 per year. If a 25-year old pearl weighs 1 gram, what did it weigh when it began to form?

Auniversity spent $1.8 million to install solar panels atop a parking garage. these panels will have a capacity of 400 kilowatts (kw) and have a life expectancy of 20 years. suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kwh), and that the marginal cost of electricity production using the solar panels is zero. hint: it may be easier to think of the present value of operating the solar panels for 1 hour per year first. approximately how many hours per year will the solar panels need to operate to enable this project to break even? a. a.3,696.48 b.14,785.92 c.9,241.20 if the solar panels can operate only for 8,317 hours a year at maximum, the project (would/would not)break even?

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.

The following selected circumstances relate to pending lawsuits for erismus, inc. erismus’s fiscal year ends on december 31. financial statements are issued in march 2019. erismus prepares its financial statements according to u. s. gaap. required: indicate the amount erismus would record as an asset, liability, or not accrued in the following circumstances. 1. erismus is defending against a lawsuit. erismus's management believes the company has a slightly worse than 50/50 chance of eventually prevailing in court, and that if it loses, the judgment will be $1,000,000. 2. erismus is defending against a lawsuit. erismus's management believes it is probable that the company will lose in court. if it loses, management believes that damages could fall anywhere in the range of $2,000,000 to $4,000,000, with any damage in that range equally likely. 3. erismus is defending against a lawsuit. erismus's management believes it is probable that the company will lose in court. if it loses, management believes that damages will eventually be $5,000,000, with a present value of $3,500,000. 4. erismus is a plaintiff in a lawsuit. erismus's management believes it is probable that the company eventually will prevail in court, and that if it prevails, the judgment will be $1,000,000. 5. erismus is a plaintiff in a lawsuit. erismus’s management believes it is virtually certain that the company eventually will prevail in court, and that if it prevails, the judgment will be $500,000.