2. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE AN T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by 4 = -50x + 900 where q is the number of shirts you can sell in one week if you charge $x per shirt. The Student Council charges you $500 per week for use of their facilities, and the T-shirts cost you $8 each. Find the weekly cost as a function of the unit price x. C(x) = Hence, find the weekly profit as a function of x. P(x) = Determine the unit price (in dollars per T-shirt) you should charge to obtain the largest possible weekly profit. x = $ |per T-shirt What is the largest possible weekly profit (in dollars)? $ Need Help? Read It Watch It 3. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE AN The values of two functions, fand 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.) -7 - 1 2 f(x) 2.4 0. 15 0.075 g(x) 240 120 50 30 F( x ) = g(x) =4. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Model the data using an exponential function f(x) = Ab*. 1 f(x) 5 3 1.8 F( x) = Need Help? Read It 5. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A few weeks into the deadly SARS (severe acute respiratory syndrome) epidemic in 2003, the number of cases was increasing by about 4% each day.t On April 1, 2003, there were 1,804 cases. Find an exponential model that predicts the number of cases t days after April 1, 2003. At ) = Use it to estimate the number of cases on April 24, 2003. (Round your answer to the nearest integer. The actual reported number of cases was 4,439.) cases Need Help? Read It5. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A few weeks into the deadly SARS (severe acute respiratory syndrome) epidemic in 2003, the number of cases was increasing by about 4% each day. On April 1, 2003, there were 1,804 cases. Find an exponential model that predicts the number of cases days after April 1, 2003. R(t) = Use it to estimate the number of cases on April 24, 2003. (Round your answer to the nearest integer. The actual reported number of cases was 4,439.) cases Need Help? Read It 6. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Convert the given exponential function to the form indicated. Round all coefficients to four significant digits. f(+) = 12(0.917); A(t) = Q e-kt Need Help? Read It6. [-/5 Points] DETAILS Convert the given exponential function to the form indicated. Round all coefficients to four significant digits. f(+) = 12(0.917)"; At) = Q e-kt FO = Need Help? Read It 7. [-/5 Points] DETAILS 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.t Country U.S. Japan Germany Australia Brazil Yield 2.5% 0.5% 1.0% 3.5% 4.2% How long, to the nearest year, will it take an investment in Brazil to double its value if the interest is compounded every 3 months? yr\f10. [-/5 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eat-a-thon." The society will charge students 92c per serving of pasta. The only expenses the society will incur are the cost of the pasta, estimated at 204 per serving, and the $360 cost of renting the facility for the evening. (a) Write down the associated cost function C(x) in dollars. C(x) = Write down the revenue function R(x) in dollars. R(x) = Write down the profit function P(x) in dollars. P ( x ) = (b) How many servings of pasta must the Audubon Society sell to break even? servings (c) What profit (or loss) results from the sale of 1,500 servings of pasta? $11. [-/5 Points] DETAILS MY NOTES ASK Equilibrium Price: Cell Phones Worldwide annual sales of a certain product were approximately -7p + 1,600 million products when the wholesale price was $p. (a) If manufacturers are prepared to supply q = 18p - 800 million products per year at a wholesale price of $p, what would be the equilibrium price? (Round your answer to the nearest cent.) $ (b) The actual wholesale price was projected to be $95 in the fourth quarter of 2008. Estimate the projected shortage or surplus at that price. There is an estimated ---Select--- V of million products. -Select--- surplus Need Help? Read It shortage Submit Answer 12. [-/5 Points] DETAILS MY NOTES ASK Find A(0) and then find the equation of the given linear function. 7 3 f(x) 12 17 22 F(0) = F( x) = Need Help? Read It13. [-/5 Points] DETAILS Find a linear equation whose graph is the straight line with the given properties. through -1 and parallel to the line 7x - By = 7 y(x) = Need Help? Read It Watch It15. [-/5 Points] DETAILS For the demand equation, express the total revenue R as a function of the price p per item. q = -8p + 80 R(P) = Sketch the graph of the resulting function. Graph Layers Point 1 X 340 O 320 No Solution -2 -1 2 3 4 5 6 7 8 9 10 1 12 13 14 15 16 17 18 1520 () Help ClearAl20. [-/5 Points] DETAILS MY NOTES A Use the given information to find an exponential model of the form Q = Q,er" or Q = Q,e", as appropriate. Round all numerical values to three significant digits when rounding is necessary. Q is the population of cats on another island whose cat population was originally 16,000 but is doubling every 19 months. (t is time in months.) Q(t) = Need Help? Read It