*A student has 517000 in student Loans. The loans are to be repaid over 10 years at a rate of 4.?596. Assume the payments are made at the end of each month. a) What type of Problem is this? b] How much are the monthly payments? '5 c] How much total. interest will. be paid? '5 Which step is part of finding the derivative of the function beLow? The correct choice may not be in simplified form. 3,: = (7m3 + 8) (4:122 '5) C} y: (21;:2 + 8) (432 6) + (73:3 + a) (8;: ) (.3- 349: (21532) [8:12) C" 3;: (213:?) (43:2 6] (73:3 + 8)(82) O 3;: (21:32) (411:2 6) + (73:3 + 8)(8;i:] {I} 3;: 282:5 422:3 + 322:2 48 w none of the above A companyr has total cost function C(m) [in dollars], where is :1? is the number of items. C(52) = 300 + 9x + H.03x2 a) Find the marginal cost function, MC. MC: ta] Find the marginal cost at a production leveL of 100 items. | ' 5 per item c] Interpret your answer for part b]. '3' This is the total cost to produce one item. '3' This is the total cost of producing 100 items. {3' This is the total cost of producing 101 items {3' The is the approximate cost of producing the 100th item . '3' This is the approximate cost of producing the llst item. Which step is part of finding the derivative of the function below? The correct choice mam not be in Simplified form. _ - .m _ 33:2 5 y a": Q _ 6:1: r'xl If: O y": 593 (a: 9}? I 632(m9) (35925) 1 t_J y: (w 9)2 I zm 9) + (3592 5) 1 t_J y: (w 9)2 (a. ;_ (33:2 5) [m 9) .J y_ 2 (a: 9) (Nl K..J _' none of the above Suppose that the total cost (in dollars} for a product is given by C(32) = 1200 + 170 111(23 + 1) where m is the number of units produced. [a] Find the marginal cost function, MC . MC: {b} Find the total cost of producing 150 units. [round to 2 decimal places.} [c]: Find the marginal cost when 15D units are produced. [round to 2 decimal places.}.l The pollution level near a dump site has been modeled by the equation PH) = 0.05 + 3.11603" , 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'lt) =| b] At what rate is the pollution level changing at time t = 4 years? I (round to 3 decimal places) c] Is the pollution level increasing or decreasing at time t = 4 years? '3' increasing C' decreasing U neither increasing nor decreasing ("K _/ 'x cannot be determined *The total revenue function for a blender 1's 13(3) = 593 [3.01m2 where m is the number of blenders sold+ What is the average rate of change in revenue when the number of blenders increases from 13 to 26? Select an answer v [Round to two decimal places if needed.) Perla buys a boba tea almost every afternoon This amounts to about $110 per month. If theyr invested this amount (5110) into an account earning an APR of 4.5% at the end of each month, how much will the}.r have 6 years from now? a} What type of Problem 1'5 this? b] How much will they have? 5 I I *The purchasing power P of a $20,000 per year pension after t years of 5% inflation can be modeled by P(t) = 20, 000(1.05) . a. P(t) is a/an Select an answer v model. b. Find the purchasing power after 17 years. (Round your answer to the nearest dollar.)form. y=83:13+2m2 {3' yr: 3:L'-i-4: C} y':3+4:c {3' yr=83+43 C} y2833+4$ 0 none of the above Find the derivative of the function. The correct choice may not be in simplified Suppose a company's revenue function [in dollars} is 29$? + 35:: Elm) : 2m + 2 where m is the number of items sold. Find the marginal revenue when 4? items are sold. (Round your answer to the nearest whole number.) Find the derivative of the function below. The correct choice may not be in simpLified form. r' 7 't._.:' y]: E _ 7 1 U '2 '5 y 237 ~. :_ l w y 732 :'3- 3,1: i {3' none of the above $5000 is invested in an account that pays interest of 3% compounded daily. What will the account be worth in 8 years? a) What will the account be worth in 8 years? $ b) How much interest was earned? $A company that manufactures printers has total cost function C(37), where :1: 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 400 printers to 600 printers, the average rate of change is 85. The units of the number 85 isfare The best interpretation of the number 85 is U The average cost of making 400 printers is 85 dollars. {:3 When production increases from 400 printers to 600 printers, on average, total costs increase by 85 dollars per printer. '3' The average cost of making 200 printers is 85 dollars. '3 The average cost of making 6-00 printers is 85 dollars. '3' When production increases from 400 printers to 600 printers, on average, total costs decrease by 85 dollars per printer. none of the above Match each exponential function below with its colored graph. Some graphs match to more than one function. v f(x) = 2(1.46) - blue graph f(x) = 3(1.46) red graph green graph f(x) = 3(0.68) orange graph f(ze) = 2(0.68) v f(x) = 3(1.46) v f(x) = 2(1.46)Taylor's aunt was planning to give Taylor $10000 6 years from now. Taylor convinced their aunt to give them $8000 now instead. If Taylor invests this $8000 at 5% compounded continuously, how much money will Taylor have 6 years from now? a) Taylor will have $ b) How much interest will Taylor earn? $Find the derivative of the function below. The correct choice may not be in simplified form. _ 5 6 y $4 9 i, y::i_i 4:3 9373 1_;_ 1 ' y 4;: 93:3 {:1 9': 40:55 + 54310 I I k._.J y": 2{]:1:_3 -|- 5438 F3 none of the above Conaider the function at) 2 5:32 -| 3m 20 Find the instantaneous rate of change of the function at the value a: = 5 . mm = {Round to one decimaL place if needed.) choice may not be in simplified form. Which step is part of finding the derivative of the function below? The correct y = 6-3x-+1 Oy=6. (3x2 + 1) . e312 Oy'= 6. 3. or Oy= 6. 6x . 3 +1 Oy'= 6.3. 32-+1 Oy'= 36 . 3x-+1 Oy'=6. eor