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1. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEA + Find the associated exponential decay or growth model. (Round all coefficients to three significant digits.) X Q = 2,200 when t = 0; half-life = 4 Q = 2,200 - VI Viewing Saved Work Revert to Last Response Submit Answer 2. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEAC Revenue The market research department of the Better Baby Buggy Co. predicts that the demand equation for its buggies is given by q = -1.5p + 510 where q is the number of buggies it can sell in a month if the price is $p per buggy. At what price (in dollars) should it sell the buggies to get the largest revenue? p = $ What is the largest monthly revenue (in dollars)? $3. [-/6.66 Points] DETAILS MY NOTES ASK YOUR T Long-Term Investments This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2014. Country U.S. Japan Germany Australia Brazil Yield 2.5% 0.5% 1.0% 3.5% 4.2% If the interest on a long-term U.S. investment is compounded continuously, how long will it take the value of an investment to double? (Give the answer correct to two decimal places.) yr 4. [-/6.66 Points] DETAILS MY NOTES ASK YOUR T Equilibrium Price: Cell Phones Worldwide quarterly sales of a brand of cell phones were approximately q = -p + 176 million phones when the wholesale price was $p. (a) If the cellphone company was prepared to supply q = 4p - 344 million phones per quarter at a wholesale price of $p, what would have been the equilibrium price? $ (b) The actual wholesale price was $99 in the fourth quarter of 2004. Estimate the projected shortage or surplus at that price. There is an estimated --Select--- v of million phones. -Select-- shortage surplus Submit Answer5. [-/6.66 Points] DETAILS MY NOTES ASK YOUR TEA The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.) X -2 1 2 f (x ) 31.5 10.5 3.5 10.5 31.5 g(x) 0.2 0.6 1.8 5.4 10.8 f ( x ) = g(x) =Your college newspaper, The Collegiate Investigator, has fixed production costs of $76 per edition and marginal printing and distribution costs of 41c per copy. The Collegiate Investigator sells for 51c per copy. (a) Write down the associated cost function C(x) in dollars. C(x) = 0.51x + 76 X Write down the revenue function R(x) in dollars. R(x) = Write down the profit function P(x) in dollars. P(x) = (b) What profit (or loss) results from the sale of 500 copies of The Collegiate Investigator? $ 4 (c) How many copies should be sold in order to break even? 5 copies9. [-/6.66 Points] DETAILS MY NOTES ASK TOOR TEACHICK Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $8 per guest and averaged 340 guests per night. The next week you charged $9 per guest and averaged 320 guests per night. (a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p. q(p) = (b) Find the nightly revenue R as a function of the cover charge p. R(P) = (c) The club will provide two free non-alcoholic drinks for each guest, costing the club $3 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $2,000. Find the cost C as a function of the cover charge p. C(P) = (d) Now find the profit in terms of the cover charge p. P(P) = Determine the entrance fee you should charge for a maximum profit (in dollars). P = $1 per guest\fSubmission 1 (3.33/6.66 points) Thursday, September 23, 2021 10:12 PM MDT A bacteria culture starts with 800 bacteria. Two hours later there are 1,280 bacteria. Find an exponential model for the size of the culture as a function of time t in hours. f(t) = 800e 0.2350t X Use the model to predict how many bacteria there will be after 2 days. (Round your answer to the nearest hundred thousand.) 63,400,000 bacteria