Math - Others Questions

Use the following to answer questions 12 13 Figure Consumer and Capital Goods Consumer goods per period Curve 2 Curve 1 Capital goods per period 12 Figure Consumer and Capital Goods Look at the figure Consumer and Capital Good The movement from curve 1 to curve 2 indicates A economic growth B C D a change from unemployment to full employment a decrease in the level of technology instability 13 Figure Consumer and Capital Goods Look at the figure Consumer and Capital Goods Point Z A is unattainable all other things unchanged B is attainable if the economy is able to reach full employment C is attainable if the quantity and or quality of factors decreases D will be attained as soon as the economy becomes efficient and moves to curve 2

Figure Rent Controls Rent per period Rent Renta Rent Rent Rento S D Qo Q1 Q2 Q3 Q4 Quantity of rental units per period 39 Figure Rent Controls Look at the figure Rent Controls If rent controls are set at Rento renters would be willing to pay a price at least as high as A Rent for Qo units B Rent4 for Q units C Renta for Q units D No one would be willing to pay a higher actual price than Rento 40 Figure Rent Controls Look again at the figure Rent Controls If rent controls are set a Rent

54 The logic of politics often leads to very different market outcomes than if the logic of economics were being used to allocate scarce resources In our discussions we covered a concept called concentrated benefits dispersed costs that might help one understand this disparity Briefly explain what the concept means and then give an example of applying it to say farm price supports a type of price control we covered but other examples may be used

Is the following claim logical Explain your answer Actor Matt Damon will be more likely to buy a court side Boston Celtics basketball seat beca they are more expensive up to 10 points

52 How might price controls on gasoline lead to human fatalities in an area where there is an oncoming hurricane 4 points

53 From and economic perspective why do governments tend to mismanage scarce resources

49 How does subjective value make gains from trade possil

Figure The Market for Milk Price P P P a b P o C e S question 42 02 S D Q Quantity 42 Figure The Market for Milk Look at the figure The Market for Milk If there we binding price floor in the market for milk the price could be equal to and producers would supply consumers would demand A P Q1 Q3 B P 02 02 C P Q Q1 D P3 Q Q1

14 Find the optimum number of batches to the nearest whole number of an item that should be produced annually in order to minimize cost if 50 000 units are to be made it costs 4 to store a unit for one year and it costs 500 to set up the factory to produce each batch Assume that units of this item will be sold off throughout the year so the cost equation will use the average cost A 14 batches B 12 batches D 16 batches C 10 batches

Correct The revenue function is given by R x x p x dollars where x is the number of units sold and p x is the unit price If p x 41 4 find the revenue if 16 units are sold Round to two decimal places

48 An increase in the good s own price will cause the supply the shift left A True B False 2 points

Use the following to answer question 20 Figure The Demand and Supply of Wheat Price per bushel 10 9 8 7 C D 654 3 2 1 0 x 2 S 4 6 8 10 12 Quantity of wheat thousands of bushels per period D 20 Figure The Demand and Supply of Wheat Look at the figure The Demand and Su of Wheat If a price of 10 temporarily exists in this market A a shortage of 10 000 bushels will result B a shortage of 8 000 bushels will result a surplus of 8 000 bushels will result a surplus of 4 000 bushels will result

How long will it take to drive 825 km at 75 km per hour if you take a two hour break after every 5 hours 12 hours

0 Sal recorded the outdoor temperature as 4 F at 7 30 A M At noon it was 22 F Sal said the temperature changed by 18 F because 22 4 18 A Critique Reasoning Is Sal right or wrong Explain F 20 10 0 10 20

mL 4 The doctor orders Unipen 400 mg IM The medication is supplied as Unipen nafcillin sodium 1 gram in powder form Directions for reconstitution Add 3 4 mL of sodium chloride diluent for injection to yield 1 gram 4 mL How many mL will be given

Convert the following improper fraction into a mixed number Simplify your answers to their lowest terms a b 31 5 26 11 6 8 1 5 2

Perform the arithmetic operations a 2 4 2 10 b 5 10 6 2 X 62 2 1 6 1 3 2

In the number 147 069 identify the digits that occupy the following place values a Tens b Ten Thousands

Convert to Scientific Notation a 0 0658 X 10 Round to two decimal places b 44 430 000 000000 Round to three decimal places X 10

Evaluate the following expressions a 77 13244 5 b 16 x 18 6 12

0 09375 0 O 0 1 8 3 32 2 3 1 16

Fifty seven hundred thousandths 57 1000 O 0 0057 O 0 057 O 0 00057 O

Reduce the fractions to their lowest terms and write their reciprocals a 100 120 Reciprocal b 100 60 Reciprocal

An 18 wheeler cargo truck is used to transport steel rods from Toronto to Ottawa for a construction company The truck weighs 16 118 47 lb with no load However with a full load of steel rods the truck weighs 29 646 25 lb What is the weight of the steel rods Round the final answer to the nearest tenth O 000 OO Empty Truck 16 118 47 lb 0 00 ooooo 29 646 25 ck 29 646 25 lh lh Full Load Truck 4

Calculate the following a What amount is 50 less than 310 b What amount is 48 more than 270

Which of the following fractions is greater A 22 6 or B click to select 24 7

Calculate the following a 7 7 5 5 b 14 5 2 7 I

Convert to exponential notation a 3x3x3x3 x 3 b 10 x 10 x 10

Evaluate Give your answer in scientific notation 7 83 x 107 5 44 x 106 Round to two decimal places X 10

Evaluate the following Use Exponent Rules if possible a 810 8 b 53 x 53

Identify all the prime numbers within each range of numbers given below inclusive a From 21 to 37 b From 45 to 61

Round the following numbers to the indicated place values a 2 344 to the nearest ten b 6 339 to the nearest thousand c 82 827 to the nearest 1 000 d 476 to the nearest 10

Victoria bought 5 litres of milk and drank 1 litres litres of it How much milk was left

Assume no inter period compounding Interest is 5 5 annual compounded every 6 months What is the future value of a a 175 monthly deposit made for 30 yea 156 249 O 149 866 133 886 O 123 000

1 Given f x your answers a f g x b g f x 2 Let f x 3x 2 5x 1 and g x 5 6 find the following functions Simplify Find f 0 3 Given f x 2x 3 x 5 x 2 answer the following questions a List the zeros of the function b What is the degree of f x c As x o f x d As x f x LESEY

1 6 For what integer a is x 3 x 90 divisible by x x a as polynomials

find the future value of the following 500 deposited two times year for 20 years interest is 6 per year compounded monthly

find the present value of the following deposit 100 per week for 2 years interest is 6 per year compounded daily 365 days per year

Attempt Sheffield Industries had the following inventory transactions occur during 2020 Units 2 1 20 Purchase 54 3 14 20 Purchase 95 5 1 20 Purchase 65 O 3576 O 3739 5960 O 6194 Cost unit 43 40 40 The company sold 149 units at 80 each and has a tax rate of 40 Assuming that a periodic inventory system is used what is the company s after tax income using LIFO rounded to whole dollars

Computational exercise Write a script to use Runge Kutta method of order 4 to compute an approx imate solution to y y t y t for 1 t 2 y 1 1 h 0 1 Please attach your script and give your final approximation to y t 2 The exact solution is y t t 1 In t

M DO 9 DE a 200 mi 500 mi Catholic Lutheran Protestant Methodist D KU right Camperations d Wennst P PAE semed Sas 2058 2017 ASSEE Avesco OME IN CHINA Casearch Center What religion is reflected by most densely populated area of the map More than 50 0 50 0 25 1 191 25 0 0 1 10 0 None Reported L 200 mi

Q5 10 Analyze and compare the effect of the following changes on the average earth temperature Compare each case against the base case for the earth atmosphere heat transfer model Which change has the most detrimental effect on the average earth temperature Fall 2023 1 10 increase in the transmissivity of the atmosphere in the short wavelength 2 10 increase in the absorptivity of the atmosphere in the long wavelength

Bianca and Meredith are sisters Meredith s height is of Bianca s height plus 32 inches Meredith is 60 inches tall Write an equation to find Bianca s height in inches

Q1 10 Compare the annual CO2 emission in kg year for a 120 000 BTU hr residential furnace assuming the following fuels a natural gas b fuel oil The furnace in average funs hrs day for 160 days year AFUE of natural gas furnace is 85 and that of oil burning furnace is 75

7 3 in 8 in

8 4 cm 3 cm 10 cm 7 cm

5 5 ft 2 ft

14 For each given domain and range draw one relation that is a function and one that is not a Domain x E R Range y E Rly 1 y X y X

5 Emma hits a golf ball off a tee The height of the ball is given by y 0 01x 0 5x 0 2 where y is the vertical height in yards above the ground and x is the horizontal distance from the tee in yards Round all answers to one decimal place a How far does Emma hit the golf ball

weekend Frank shoots an air ball from center court The height h im Homework While feet of the ball is given by h t 8t 32t 6 a What is the height of the ball after 0 5 seconds b At what time s is the ball at a height of 30 feet