Math - Others Questions

17 57 The 10 kg wheel has a radius of gyration k 200 mm If the wheel is subjected to a moment M 51 N m where t is in seconds determine its angular velocity when t 3 s starting from rest Also compute the reactions which the fixed pin A exerts on the wheel during the motion M

For the proprablility distribution table below P x 0 19 H 8 0 1 2 3 x 4 0 1 2 Find the mean Round to two decimal places 3 4 0 11 x 0 19 0 24 0 27 x Find the standard deviation Round to three decimal places xP x 00000 x P x 1000

Determine whether this table represents a probability distribution P x x 0 4 3 4 0 08 0 09 0 14 0 97 No because x has negative No because P x has negative No because P x is not 100 No because x 0 Yes because P x is 100

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Fill out the black to make the given table below a probability distribution 8 0 1 2 3 4 P x 0 06 0 07 0 5 0 24

What is the annual worth in the following situation North Carolina is building a monument with a perpetual life they assume 6 cost of money The cost to build the monument 2 000 000 Annual cost to maintain the monument 60 000 Every 20 years there will be a major cleaning required that will cost 175 000 O 60 000 O 109 165 O 138 875 184 757

What is the present worth at time 0 of an annual investmet of 5 000 that begins in year 5 and extends through year 12 8 years of investmet at 5 interest O 26 586 O 34 987 O 19 769 22 798

An engineer deposits 500 per month into an account that pays interest at 6 per year compounded semi annually twice a year How much will be in the account at the end of 10 years Assume NO interperiod compounding 60 000 70 510 75 890

If a company wants to have 1 200 000 in a contingency fund 30 years from now the amount the company must deposit each years in years 1 10 at an interest rate of 6 is O 22 750 28 386 56 712

If a company invests 5 000 in new machining equipment by how much must it reduce its annual costs to expect to recover the investment in two years at an interest rate of 10 per year O 2 500 2 701 2 881 2 950

We are going to buy a new machine for 400 000 It will have a salvage value in 5 years of 75 000 At an interest rate of 6 what is the annual worth of this machine 81 165 O 83 999 90 678 97 768

A company had a before tax profit of 2 500 000 what was their after tax PROFIT Tax Rate 309 O 2 500 000 O 1 650 000 O 850 000 O 625 000

What is the annual worth in the following example Joes pizza parlor Initial cost 400 000 Annual income 275 000 Salvage value in 6 years 500 000 Joe expects the value to increase Interest rate 8 O 248 665 O 246 750 256 632 O 284 664

What is the depreciation amount in year three for the following example using MACRS A new machine is purchased for 500 000 it will cost an additional 150 000 to set it up and make it functional It has a salvage value of 100 000 It will be deprciated over a 5 year schedule 124 800 130 000 97 000 85 000

When the interest rate is 8 per year all of the following are equivelant to 8 000 now except O 7 407 one year ago O 10 400 three years from now O 6 858 two years ago O 9 331 two years from now

An engineer buys his first house he pays 300 000 for it and takes out a 30 year loan What will his payments be at 6 annual compounded monthly 30 years 360 months O 1 200 1 400 O 1 600 1 800

What is the present worth of an investment that starts at 6 000 in year 1 and increases by 6 per year for 10 years at 6 interest 10 years total cash flows O 38 768 42 056 33 001 56 603

What is the present worth of the following series of income and expensesif the interest rate is 6 per year Year Expense 0 1 4 5 7 O 5555 6251 6 709 O 5 868 Income 12 000 800 900 9 000 400 200

An alternative for replacing the need for my electric company has a first cost of 5 500 and annual cost of 500 This system will allow me to save the 2 500 per year that I am currently paying for my electric bill What is my payback time at 0 interest 1 5 years 2 years 2 5 years O 2 75 years

You want to leave an endowment at your university You want to have an endowment that provides 50 000 worth of scholarships per year At 5 interest how much will you need to contribute O 500 000 O 750 000 1 000 000 O 1 250 000

you loan your friend 1 500 today and she gives you 2 250 back in four years what is your rate of return on this loan O Between 7 8 O Between 9 10 Between 10 11 O Between 11 12

What is the first year depreciation in the following situation using straight line Purchase price 150 000 Salvage value 25 000 Life of project 6 years 7 257 10 417 O 15 897 O 20 933

What is the break even quantity in the following example in terms of number of pieces Fixed cost 4 000 000 Sales price 10 00 Variable cost 3 60 O 575 00 pieces 625 000 pieces O 658 00 pieces 695 000 pieces

Mike s shoe store had sales last year of 4 000 800 He had cost of goods sold of 1 800 000 He had nothing to depreciate What was Mikes Profit before tax O 5 801 500 O 4 000 800 O 2 200 800 O 1 800 700

A sorority and a fraternity join forces to host a car wash Each car washed will generate 10 00 revenue Each car washed will cost 1 50 for soap water and towels To host the car wash your organizations rented a parking lot for 250 00 for the day You wash 50 cars how much profit did you make O 100 00 O 125 00 O 150 00 O 175 00

You are studying 35 players on the Toronto Maple Leafs You assign each player a number and use a computer to randomly generate one number You use this randomly generated number as a starting point You then select every 3rd player until you have 10 players to study You identify each of the 10 players position on the team and ask them to numerically rank their puck handling skills Question 33 1 point Listen A Identify the size of the population in this study only put number

3 6 What is the only x 0 for which the statement below could be true If eggs cost xc a dozen less then it would cost 1 less for x 1 eggs than if eggs were xe a dozen more JU EGG SALE

mplete the following using compound future value Use the Table provided ce Do not round intermediate calculations Round your final answers to the nearest cen Time 3 years Principal 15 600 Rate 8 Compounded Quarterly Amount Interest

22 A ball is thrown upward from the top of a building to the street below The ball s height in feet is given by the equation h t 16t 48t 67 where t is time measured in seconds What is the maximum height of the ball A More than 150 feet B Between 125 and 150 feet C Between 100 and 125 feet D Between 75 and 100 feet E Less than 75 feet

4 The number of monthly active Facebook users worldwide in millions between the year 2009 and the year 2017 can be modeled approximately by the function f t 2 12x 27 43x 301 48x 180 4 where t is time in years since 2009 Use the graph of this model to determine in the middle of what year the number of monthly active Facebook users reached 1 000 000 000 A Middle of 2011 B Middle of 2012 C Middle of 2013 D Middle of 2014 E Middle of 2015

13 The concentration of a certain drug in mg L can be modeled by the following function C t 5t e08 where t is the number of hours after the drug was administered The drug is effective if its concentration is greater than 1 2 mg L Use the graph of the function to determine the interval of time when the drug is effective A 0 0 31 D 0 31 00 B 3 26 00 E 0 31 3 26 C 0 00

4 An item is originally priced at P dollars but is placed on sale at a discount of 20 off What is an expression for the final sales price F P A F P 80P D F P 1 20P B F P 0 20P E F P 0 80P C F P 20P

A wall that is 2 3 meters high casts a shadow that is 3 7 meters long A pole located beside the wall casts a shadow that is 10 2 meters long Find the height of the pole rounded to the nearest 0 1 meters A 6 3 meters B 8 8 meters C 11 6 meters D 16 4 meters E None of these

9 The height of a leaf above the ground after it falls from a tree is given by the formula s t 4 1t 52 6 where time is given in seconds and height is given in feet above the ground Use the graph of the function to determine when the leaf would land on the top a person s head if the person was seated on the ground under the tree and their head was 3 2 feet above the ground The amount of time is A Between 3 5 and 3 6 seconds B Between 3 4 and 3 5 seconds C Between 3 3 and 3 4 seconds D Between 3 2 and 3 3 seconds E Between 3 1 and 3 2 seconds

20 Determine the x intercepts of f x 2x 12x 8 The largest x intercept is A 3 5 0 B 12 5 0 C 3 4 5 0 D 12 4 5 0 E None of these

51 Using the definition argue that the vectors 2 8 0 are linearly independent to setup the normal a b 3 2 1 4 PA

15 Write the equation of the line passing through the points 3 7 and 1 19 A y 3x 2 B y 6x 25 C y 3x 2 D E y 3x 16 y 6x 11

8 Which one of the tables below represents y as a function of x A B C D E X y y X y X y x y 2 5 2 5 2 5 2 5 5 2 2 3 1 3 1 3 2 3 3 1 2 3 1 5 1 3 2 5 5 1 2 5 2 3 2 5 2 3 3 2

7 Determine the domain of R x x 9 x 8 A 8 00 B 8 8 00 C 00 8 8 9 9 D 9 9 00 E 8 00

2 Write an equation for a graph with the following transformations Vertical stretch by 65 units Shifted up 77 units Shifted right 10 units

6 Determine the domain of h x 5 2x A D 5 00 0 B E 0 00 C

5 Let f x 2x 5x 1 Evaluate f a 3 A f a 3 2a 17a 34 C f a 3 2a 5a 34 E f a 3 2a 11a 25 B f a 3 2a 17a 4 D f a 3 2a 5a 4

14 Building an Emergency Fund You are working two part time jobs Working at the local library pays 15 per hour and working as a personal trainer pays 20 per hour Last week you made 750 and worked 45 total hours 1 Write a system of equations to represent the scenario Remember to define your variables 2 Solve the system to find out how many hours you worked at each job Solve 3 You want to build an emergency fund of 10 000 You have 0 in savings currently If you make the same 750 each week and apply the 50 30 20 rule how much do you save each week 4 How many weeks until you have reached your goal of saving 10 000

16 AKS 2b The graph of the function f x log x 4 characteristics of h x llertical Asymptore X 4 5 4 2 10 left 2 3 2 3 Domain 4 x y f Positive left hight is shown below List the Negative Decreasing Increasing Kight X intercept s 30 Y intercept s 0 2 Vertical Asymptote X 4 Horizontal Asymptote 4 logo s X Range x y P 17 AKS 2c 2d Bryan decides that he would like to invest his money Determine the number of years it will take Bryan s initial investment of 5 000 to reach a value of 7 500 when he invests the money in an account in which the interest is compounded continuously at an annual interest rate of 8 A Per 18 AKS 2c 2e The value of a car depreciates over time Your friend purchased a car in October of this year The value V of his car after t years can be modeled by the V 20 000 t logo s equation log 0 5 20 000 4 20 000 How much would your friend s car be worth after 4 years Putin desmos Find the line 19 AKS 2d In the year 2000 Inman Park in Atlanta GA had a squirrel population of 500 For the next 15 years the squirrel population grew at a rate of 4 5 What was the squirrel population in the year 2020 A PCI rit f growth decay

Unit 2 6 AKS 4a List the characteristics of the function f x x 1 graph shown below Domain o Range Positive 2 End Behavior x y x y Negative Decreasing Increasing S Axis of Symmetry 97 AKS 4d 4e What is are the solution s to the following equation x 9 49 0 8 AKS 4d 4e 4g Two scuba divers are underwater and are trying to swim back to the surface The first diver s ascent can be modeled by the equation f x x 6x 16 and the second diver s ascent can be modeled by the equation g x x 25 If our x value represents time in seconds and our y value represents height in feet which one of the divers will reach the surface first and at what time

Insert Draw Design Tell me A Q Styles Dictate Editor Year A Font 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 Paragraph V Unemployment rate 4 5 3 8 3 8 3 6 3 5 4 9 4 Use the table below to answer these questions In which years was the misery index a the highest b the lowest 5 9 5 6 4 9 5 6 8 5 Inflation rate 1 6 Comments 2 9 3 1 4 2 5 5 5 7 4 4 3 2 6 2 11 0 9 1 Editing LE

While lifting the heavy boxes I hurt my back A comma splice B run on C sentence D fragment

42 A B C s f rdan ve birbirinden farkl rakam olmak zere sadece A B ve C rakamlar ile olu turulan rakamlar birbirinden farkl t m basamakl do al say lar n toplam 3552 dir Buna g re A B C toplam ka t r The sum of all three digit natural numbers whose numbers are different from each other consisting of only the numbers A B and C with A B C being three digits that are nonzero and different from each other is 3552 So what is the sum of A B C A 12 B 14 C 16 D 18 E 20

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35 1 3 6 7 9 rakamlar kullan larak yaz lan rakamlar birbirinden farkl be basamakl ABCDE say s nda A B D E dir 19 Bu ko ulu sa layan ka tane be basamakl ABCDE say s vard r A 4 yos B 6 C 7 D 8 E 9 OCA you