Math - Others Questions

6 Question 4 y 0 10 pts 399 Details 5 4 3 2 1 8 7 6 5 14 1 1 2 5 6 7 8 1 2 3 4 5 10 6 Write an equation for the function graphed above

0 10 pts 399 Details 3 2 Ay 6 5 4 2 1 2 00 y tan x 16 The graph above is a graph of what function Oy sin x Oy cot x Oy csc x Oy cos x Oy sec x O

Question 5 0 10 pts 399 Details 6 5 4 3 2 8 7 6 5 4 3 2 1 f x 2 L T 1 2 3 4 Write an equation for the graph above 5

0 10 pts 399 Details 6 5 4 3 2 3 2 2 et S LA The graph above is a graph of what function Oy csc x Oy cot x Oy tan x Oy cos x Oy sec x

Be sure to fully justify your responses when appropriate Round probabilities to 4 decimal points Don t forge Units and use complete sentences when interpreting your result 8 pts A local hospital advertises that the average wait time in their emergency room is 16 minutes but we believe that it is longer than that After randomly collecting wait times from a sample of 35 patients we found that their average wait time was 16 7 minutes with a standard deviation of 5 92 minutes Run a test at the 05 significance level a What type of test are we using Determine if a test is left tailed right tailed or two tailed We are using a one sample test as this is appropriate for when we have a sample and want to compare the sample mean to a known population mean Since we re interested in whether the average wait time is significantly less than or greater than 16 minutes this is a two tailed test b o we meet the assumptions for normality for this type of test justify your response

10 pts In September 2007 only 48 of working class households said their incomes were falling behind the cost of living A survey of 50 random working class households in early February 2008 found that 32 of them now felt their incomes were falling behind Do these data provide sufficient evidence at the 0 01 level of significance to conclude that the proportion of working class households who say their incomes are falling behind the cost of living is higher in February 2008 than it was in September 2007 a What type of test are we using Determine if a test is left tailed right tailed or two tailed

Use the coordinate plane and Quadrilateral ABCD for question 2 4 3 2 O True Statements A D 3 B C 2 Which of the following statements are TRUE Select all that apply a b C d e Point A could represent a translation of x 5 y If Quadrilateral ABCD were reflected about the x axis the resulting image D would be D 2 4 If Quadrilateral ABCD were rotated 180 counterclockwise about the origin the resulting image B would be 3 1 If Quadrilateral ABCD were rotated 90 clockwise about point A the resulting image D would be 4 2 If Quadrilateral ABCD were reflected about the line y x the resulting image of B would be 3 1

A video game is programmed using vectors to represent the motion of ob jects The programmer is programming a human character s path to an object The object is 30 meters to the right 20 meters in front of the human character Part One Write a vector to represent the path to the object Part Two How far is the object from the human character Part Three A second human character is 40 meters to the left of the first human character and is 50 meters ahead of the first human character The first human character is currently facing the previously mentioned object If the programmer wants to rotate the first human in order to make it face the second human what angle of rotation is needed Hint You could create a vector between the first and second human then calculate the angle between the first and second vectors

0 10 pts 399 Details Outside temperature over a day can be modeled as a sinusoidal function Suppose you know the temperature is 85 degrees at midnight and the high and low temperature during the day are 105 and 65 degrees respectively Assuming t is the number of hours since midnight find an equation for the temperature D in terms of t D t

Find a function of the form y A sin kx Cor y A cos kx C whose graph matches the function shown below 8 7 6 4 nn 2 6 Leave your answer in exact form if necessary type pi for y

Find a function of the form y A sin kx C or y A cos kx C whose graph matches this one 16 15 14 13 12 11 10 9 8 7 6 5 6 4 3 A 3 2 2 3 2 3 4 5 y Leave your answer in exact form if necessary type pi for 6 7 8 9 10 11 12

0 10 pts 399 Details 1 5 4 3 2 1 1 N 2 3 Amplitude 2 Period Midline y 5 Based on the graph above determine the amplitude midline and period of the function 6 1 2 3 4 5

Which of the following graphs is the correct plot of y 2 sin x 5 4 3 2 1 2 4 5 5 5 4 3 2 ANA 4 5 6 3 4 5 6 1 2 4 4 O 3 2 A 2 3 2 5 O d 4 3 2 1 2 3 4 5 1 2 3 O 4 5

Which of the following graphs is the correct plot of y 5 4 3 2 1 T 2 3 4 5 5 4 3 2 1 1 2 3 3 4 5 4 6 5 4 3 2 1 2 3 4 a st 6 2 3 4 2 cos x 5 5 4 3 2 1 2 3 4 5 3 5 6 p

0 10 pts 399 Details Given the equation y 2 sin 6x 18 8 The amplitude is The period is The horizontal shift is units to the Select an answer The midl

Given the boolean function F ABCD A B CD ABC D AB C D A B C D A B C D Serve as a Minterm list Draw a logic gate circuit for the boolean function simplified

Test the hypothesis that the proportion of weekdays that this person is below the recommended daily calorie intake is greater than 0 5 Use a significance level of 0 05 State the hypotheses in symbolic form Include the following information in the sequence below Ho H t or z value p value Conclusion I The different steps are worth partial credit Make sure to include the work for them Hint Section 22 41

Find the total income produced by a continuous income stream in the first 10 years if the rate of flow is given by the following function where tis time in years f t 2500 How much was earned over 10 years

Mean S GROUP 1 30 9 N 36 X 8 1 Is there any evidence of a difference in the average between the two groups Ho Hi Critical Value s Computed Value s Decision 2 Is there any evidence of a difference in the proportion between the two groups Ho Hi Decision Critical Value s GROUP 2 20 3 Is there any evidence that the average in Group 1 is higher than 40 Critical Value s 10 Ho Hi Decision 4 Set up a 90 C I E for the difference of two population proportions 16 Computed Value s 6 Computed Value s Graph Graph Graph

2 Which of the following would be an example of an intermediate good A stocks and bonds purchased by a business executive B a cellular telephone purchased by a college student C a wedding ring purchased by an engineer for his fianc e D tires purchased from Goodyear by General Motors for newly produced electric cars

Use the following to answer questions 12 13 Figure Minimum Wage Wage P3 P P X A Q B Q C 23 D 2 Q Q Q3 12 Figure Minimum Wage With a binding minimum wage of P3 the quantity of labor supplied would be B 23 22 C 24 01 DLO S Q4 Quantity of labor 13 Figure Minimum Wage The binding minimum wage of P leads to unemployment of A 23 2

3 When measuring a nation s standard of living of the following the best measure is A nominal GDP B market GDP C real GDP per capita D nominal GDP per capita

4 Nominal GDP is A the inflation adjusted GDP B the real GDP minus depreciation C the current dollar GDP D the constant dollar GDP

1 Gross domestic product is the economy s total production of period A good and services B final goods and services C intermediate goods and services D consumer goods and services for a given time

Extra Credit From a truly free market capitalist perspective how is inflation a beneficial process our myriad discussions on this concept and the supplemental readings will be very helpful here Up to 10 EXTRA CREDIT points

5 Inflation can be measured by A the percentage change in the CPI B the absolute change in the CPI C the absolute change in the GDP deflator D the percentage change in GDP

42 What is the current U S unemployment rate Why has it changed over the last 15 years or so 4 points

2 Identify comprehend and analyze the quantitative nature of the business problems in topics such as depreciation inventory valuation estimation breakeven analysis financial statements ratio analysis simple compound interest discount annuities and amortization A Given the following X Corp s financial information regarding their fixed physical assets perform the following analysis by applying appropriate techniques methods where necessary in C Keep in mind that it is absolutely essential for you to figure out even the highlighted areas other than questions though not directly asked to correctly perform the task The answer choices are found at the end of the problem group Cost 31 000 00 Year Jan Mar April Nov GAS 3 3 444 44 a 23 600 00 b 17 962 22 Purchase S Principal 1 2 S a 6 633 50 320 000 00 320 000 00 Salvage Value 1 000 00 Principal Bal 24 000 00 BV YR Beg 31 000 00 10 333 33 a 23 409 32 Principal Q ty 1 500 00 Life in yrs Depreciation Deprec Rate APR simple 7 25 7 25 c 1 90 B Given the following X Corp s financial information regarding their inventory perform the following tasks by applying appropriate techniques methods where necessary in D Keep in mind that it is absolutely essential for you to figure out even the highlighted areas other than questions though not directly asked to correctly perform the task The answer choices are found at the end of the problem group U Cost APR comp 7 25 35 80 14 00 13 00 15 00 900 00 Amount 490 00 1 040 00 60 50 17 00 850 00 3 Deprec Expense 66 67 20 666 67 66 67 6 888 89 tl Skdl 66 67 2 444 45 d 30 000 00 1 May 1 May d 1 997 16 Weight APR simple time in days 4 75 35 4 75 55 4 75 30 a 1 179 00 b 1 860 00 c 1 420 00 C Given the following X Corp s options to use debt financing perform the following tasks by applying appropriate techniques methods where necessary in F Keep in mind that it is absolutely essential for you to figure out even the highlighted areas other than questions though not directly asked to correctly perform the task The answer choices are found at the end of the problem group 12 15 Aug 15 Aug b 6831 11 c 32 6831 11 d 4 429 e 326 737 53 Method WAVG FIFO LIFO m frequency e 1 282 84 360 time in yrs time in exact vrs 2 88 tm Dep Expense 1 Life 1 25 2 BV where Accel factor 1 25 1 5 1 75 or 2 S Accumulated Deprec End INV Q3 Q5 Q7 20 666 67 27 555 56 D Given the following X Corp s plan to retire their debt at uneven interval perform the following tasks by applying appropriate techniques methods where necessary in H Keep in mind that it is absolutely essential for you to figure out even the highlighted areas other than questions though not directly asked to correctly perform the task The answer choices are found at the end of the problem group e 1 000 00 Interest e 167 55 Interest Q1 6 737 53 09 CGS Q4 Q6 PMT b 21 576 87 c 109 32 d 21 661 11 E Given the following X Corp s customized CD holdings perform the following tasks by applying appropriate techniques methods where necessary in K Keep in mind that it is absolutely essential for you to figure out even the highlighted areas other than questions though not directly asked to correctly perform the task The answer choices are found at the end of the problem group FV Maturity in vrs BV YR End 10 333 33 3 444 44 FV Q8 Q10 Interest 112 78 Q2 S 700 00 S 2 000 00 S Exact yr Ordinary yr Princi Paid FV Maturity Val 590 68 1 832 45 Q11 APY Maturity Value effective r 012

Use the following to answer question 28 Figure Inflationary and Recessionary Gaps Panel a LRAS SRAS AD Price level P3 P P Y Yp Real GDP Price level P3 P P Panel b LRAS C is a long run equilibrium D is caused by flexible wages and prices Yp Y Real GDP A is equal to potential output B when compared with Y would reveal an inflationary gap SRAS 28 Figure Inflationary and Recessionary Gaps In Panel b the level of income associated with Y AD

Figure 37 Price level LRAS SRAS SRASO SRAS LRAS H G ADO Real GDP 37 The economy s initial aggregate demand AD and aggregate supply SRAS and LRAS curves are illustrated in Figure 37 Which of the following is true a The profits of business firms are higher at I than J b H is a point of long run equilibrium c Downward pressure on prices occurs at point G d Point F is consistent with long run equilibrium

Use the following to answer question 29 Figure An Increase in Aggregate Demand Price level P3 P P LRAS SRAS Y Yp Y SRAS AD Real GDP AD 29 Figure An Increase in Aggregate Demand Because of the pressures existing at the short run equilibrium at Y and P A the SRAS will shift to the right B the SRAS curve will shift to the left C unemployment will decrease D LRAS will shift to the right

Figure 39 Price level a b F c G LRAS d H SRAS SRASO SRAS Real GDP 39 Starting from long run equilibrium at point F in Figure 39 at which o following points would short run equilibrium occur following a drought in Midwestern states H G ADO

45 Why is consumption spending insufficient to explain economic growth and rising standards of living 5 points

igu 30 Price Level PO P105 P100 1 b lower interest rates I LRAS E SRAS 2 c an increase in aggregate demand AD Y Y Goods and Services Real GDP SRAS AD 36 In Figure 36 which of the following would most likely cause the movement from point e to point E a higher wages and resource prices

Use the following to answer questions 31 32 Figure AD AS Model II Aggregate price level P LRAS Y potential output SRAS AD Real GDP 31 Figure AD AS Model II If the price level increases which of the following will take place A SRAS curve will shift to the left B SRAS curve will shift to the right C AD curve will shift to the left D None of the answer choices provided will take place 32 Figure AD AS Model II As the size of the labor force increases over time which of the following will take place A LRAS will shift to the right B LRAS will shift to the left C AD curve will shift to the left DY 4D curve will shift to the right

Figure 35 Price Level LRAS LRAS SRAS E Goods and Services Real GDP SRAS AD 35 In Figure 35 which of the following would most likely cause the movement from point E E a an increase in the expected inflation rate c la major technological advance b a decrease in the expected inflation rate

34 If the economy grew at a 3 rate this year and average prices grew would be better off this year compared with last year A 3 B faster than 3 C slower than 3 D faster than 10 people

Figure Policy Alternatives Price level P3 P P Panel a LRAS SRAS AD Y Yp Y Real GDP A an inflationary gap B a recessionary gap C no gap SRAS Price level P3 P P Panel b LRAS SRAS Y Yp Y2 AD Real GDP AD2 30 Figure Policy Alternatives In Panel a suppose that the initial equilibrium is at real GDP level Y and price level P At real GDP level Y there is

27 All of the following will increase the economy s potential output EXCEPT A an increase in physical capital B a decrease in the aggregate price level C an increase in human capital D technological innovation

33 If the economy is at equilibrium above potential output A there is a recessionary gap and expansionary fiscal policy is appropriate B there is an inflationary gap and contractionary fiscal policy is appropriate C there is a recessionary gap and contractionary fiscal policy is appropriate D there is an inflationary gap and expansionary fiscal policy is appropriate

Figure 38 Price level b B C LRAS C D C E SRASO B Real GDP AD 38 The economy s short run SRAS and long run LRAS aggregate supply curves are shown in Figure 38 along with three alternative aggregate demand curves and the accompanying equilibrium points At which point will resource prices naturally tend to increase a A AD ADO

43 We have talked quite a bit about inflation Consider the Do rising oil prices following question and evaluate cause inflation 4 points

41 What is the philosophical economic essence of Keynesian doctrine or Keynesianism that emerged from the experience and attempted explanations of the Great Depression What would all Keynesians believe to be Keynesian 4 points

40 Why is it incorrect inappropriate to say that governments invest the national savings 4 points

Ex 2 Tia is contributing to the same project as Seth and has sampled a different group of students The proportion of freshmen in her sample is 0 40 or 40 Their proportion of freshmen are different Use the graph below created from the results of 50 samples to determine whose result is a better representation of the population Number of Samples Results of 50 Samples in 6 samples out of SQ between 30 and 35 participants are In 47 samples out of 50 the sample proportion fals between 1 and 0 35

Complete the truth table for the given statement by filling in the required columns pv q P T T F F O 1 2 P T T F F P T T 9 T F T F 9 T F T F 9 T F ET q q F T F T q F PV q C pv q T T F F PV q F T C

Find the consumers surplus and the producers surplus at the equilibrium price level for the given price demand and price supply equations Include a graph that identifies the consumers surplus and the producers surplus Round all values to the nearest intege p D x 70 0 06x p S x 20 0 001x I What is the consumers surplus CS CS Round to the nearest integer as needed Round all intermediate steps to the nearest integer

6 Consider the parametric curve given the equations r t t 23t 1 and y t 1 23t 6 How many units of distance are covered by the point P t x t y t between t 0 and t 6 11

Which of the following correctly defines respiration rate The number of breaths a person takes during a 45 second period while at rest O The number of breaths a person takes during a one minute period while active O The number of breaths a person takes during a 45 second period while active O The number of breaths a person takes during a one minute period while at rest

Starting at age 30 you deposit 2000 a year into an IRA account for retirement Treat the yearly deposits into the account as a continuous income stream If money in the account eams 6 compounded continuously how much will be in the account 36 years later when you retire at age 65 How much of the final amount is interest What is the value of the IRA when you turn 65 238872 Round to the nearest dollar as needed How much of the future value is interest Round to the nearest dollar as needed