The national health care expenditures, H, in trillions of dollars, can be modeled by H(t) = 1.53\"\The total cost function for a product is C(22) = 3751mm + 10) + 190-3, where cc is the number of items produced. a Find the total cost of producing 500 items. 5 [Round your answer to the nearest cent.] b. Producing how many items wilL give totaL costs of $7500? items [Round your answer to the nearest whoLe number.) The purchasing power P of a $20,000 per year pension after t years of 6% inflation can be modeled by P(t) = 20, 000(1.06). a. P(t) is a/an Select an answer v model. b. Find the purchasing power after 17 years. (Round your answer to the nearest dollar.)Match each exponential function below with its colored graph. Some graphs match to more than one function. 222) = 21.22): 222) = 2(1.22>-= _2{2)=2<.1122>- 222) = 222.22) _2{2 H2157} _2{2 H2064} 56000 is invested in an account that pays interest of 3% compounded daily. What will the account be worth in 6 years? a} What type of problem is this? b] What wiLl the account be worth in 6 years? :3 c] How much interest was earned? S Select an answer Future Value Simple Interest Future Value Compound Interest Future Value Continuously Compounded . Future Value Ordinary Annuity Future Value Annuity Due Present Value Ordinary Annuity Present Value Annuity Due A student has 518000 in student Loans. The loans are to be repaid over 10 years at a rate of 4.75%. Assume the payments are made at the end of each month. a} What type of problem is this? I Select an answer v I b] How much are the monthly payments? 5 c] How much totaL interest will. be paid? 5 Select an answer Future Value Simple Interest Future Value Compound Interest Future Value Continuously Compounded Future Value Ordinary Annuity Future Value Annuity Due Present Value Ordinary Annuity Present Value Annuity Due ALina's aunt was planning to give Alina $8000 6 years from now. Alina convinced their aunt to give them 57'000 now instead. If ALina invests this 51000 at 4% compounded continuously, how much money wiLL they have 6 years from now? a what type of problem is this? b] How much wiLl ALina have? :3 Select an answer Future Value Simple Interest Future Value Compound Interest Future Value Continuously Compounded Future Value Ordinary Annuity Future Value Annuity Due Present Value Ordinary Annuity Present Value Annuity Due Issac buys a boba tea aLmost every afternoon. This amounts to about $107 per month. If they invested this amount [5107) into an account earning 3.5% at the end of each month, how much will they have 5 years from now? a} What type of problem 1'5 this? b] How much wiLl they have? 5 Select an answer Future Value Simple Interest Future Value Compound Interest Future Value Continuously Compounded Future Value Ordinary Annuity Future Value Annuity Due Present Value Ordinary Annuity Present Value Annuity Due The total revenue function for a blender is Rm) = 563 0.0132 where x 1'5 the number of blenders sold+ What is the average rate of change in revenue when the number of blenders increases from 17 to 34? Select an answer v [Round to two decimal places if needed.) Select an answer dollars blenders per dollar blenders dollars per blender none of the above Consider the function f(x) = 4x* + 8x - 20 Find the instantaneous rate of change of the function at the value x = 3. f'(3) = (Round to one decimal place if needed.)A company that manufactures printers has total cost function C(23), where or represents the number of printers and C is in dollars. The company's finance department determines that when the number of printers made changes from 200 printers to 700 printers, the average rate of change is 35. The units of the number 35 iss'are The best interpretation of the number 35 is ""3 The average cost of making 500 printers is 35 dollars. '33:? The average cost of making 7'00 printers is 35 dollars. '7'} The average cost of making 200 printers is 35 dollars. ""3 When production increases from 200 printers to F00 printers, on average, total costs decrease by 35 dollars per printer. '73' When production increases from 200 printers to T00 printers, on average, total costs increase by 35 dollars per printer. "'3' none of the above Select an answer printers printers per dollar dollars per printer dollars none of the above A company has totaL cost function C(33) (in dolLars}, where is a: is the number of items. C(37) = 500 + 73 + 0.0432 all Find the marginal cost function, MC. MC=| b] Find the marginal cost at a production LeveL of 100 items. 5 per item c] Interpret your answer for part b]. '5'} This is the total cost to produce one item. ""3? This is the total cost of producing IOU items. '37:? This is the total cost of producing 101 items '5'} The is the approximate cost of producing the 100th item . ""3? This is the approximate cost of producing the 10151: item. Suppose that the total cost (in dollars) for a product is given by C(m) = 1400 l 19011193 + 1) where m is the number of units produced. {a} Find the marginal cost function, M0. M0: (b) Find the total cost of producing 160 units. [round to 2 decimal places.} {c} Find the marginal cost when 160 units are produced. [round to 2 decimal places.} The pollution level near a dump site has been modeled by the equation P] = 0.05 + 0.136034: , where P is the volume of pollutants {in cubic meters) and t is the time [in years}. a) What is the rate change in the pollution level with respect to time? P'(t) =| b] At what rate is the pollution level changing at time t = 3 years? {round to 3 decimal places} c] Is the pollution level increasing or decreasing at time t = 3 years? '3' increasing '3' decreasing '13:? neither increasing nor decreasing '13:? cannot be determined Suppose a company's revenue function (in dollars) is 233:2 + 333: Elm) = 2m + 2 where m is the number of items sold. Find the marginal revenue when 21 items are sold. (Round your answer to the nearest whole number.)