Math - Others Questions

A job requires three types of materials called A B and C The cost of A is 6 per unit the cost of B is 9 per unit and the cost of C is 3 per unit The labor required is 34 hours plus an additional hour for each unit of A that is needed and an additional 2 hours for each unit of B that is needed The labor cost is 24 per hour Write a mathematical expression for the cost of the job using the letters a b and c to reffer to the number of required units of A B and C respectively 34 a 26 X

9 Assume that Cola Co has a share price of 43 59 The firm will pay a dividend of 1 22 in one year and you expect Cola Co to raise this dividend by approximately 6 2 per year in perpetuity a If Cola Co s equity cost of capital is 8 4 Cola Co s price per share should be the nearest cent b Given Cola Co s share price its dividend growth rate should be places Round to Round to two decimal

For each of the time series construct a line chart of the data and identify the characteristics of the time series that is random stationary trend seasonal or cyclical a Click here to view the data for the closing stock prices b Click here to view the data for the unemployment rates c Click here to view the data for the new car sales d Click here to view the data for the housing starts e Click here to view the data for the prime rate a Construct a line chart of the closing stock prices data Choose the correct chart below OA Closing Price A 140 130 120 0 5 Day 10 A seasonal B random C trend D cyclical E stationary SOU Q OB Closing Price A 140 130 120 0 Identify the characteristics of the time series Select all that apply 5 Day 10 Q O C Closing Price A 140 130 120 Closing Stock Prices Date 9 7 2010 9 8 2010 9 9 2010 9 10 2010 9 13 2010 9 14 2010 9 15 2010 IBM 125 95 126 08 126 36 127 99 129 61 128 85 129 43 D Closing Price D 140 130 120 X O

40102b 55 40102c 53 40102d 48 83 ec 28 401031 48 89 e6 401034 e8 e3 03 00 00 read six numbers 401039 83 3c 24 01 push push sub mov callq cmpl rbp rbx 0x28 rsp rsp rsi 40141c 0x1 rsp Additionally here is partial register states of the CPU before the callq instruction rip 0x401034 rdi 0x100 Zrbx Ox101 rax 0x102 rcx 0x103 a Suppose we now execute the command stepi What are the values stored in the registers rip rdi rbx rax and rex Report N A if a state is unknown

A mean average of 60 on seven exams is needed to pass a course On her first six exams Sheryl received grades of 51 72 73 59 69 and 75 Answer parts a d a What grade must she receive on her last exam to pass the course Sheryl must receive a score of or more on the last exam to pass the course Type a whole number GILD b An average of 70 is needed to get a C in the course Is it possible for Sheryl to get a C If so what grade must she receive on the seventh exam Assume that the exams do not have any ex credit questions Sheryl would need a score of to get a C Since it possible to get a score of Type whole numbers c If her lowest grade of the exams already taken is to be dropped what grade must she receive on her last exam to pass the course If Shery s lowest grade of the exams already taken is to be dropped she must receive a score of Type a whole number d If her lowest grade of the exams already taken is to be dropped what grade must she receive on na C possible to eam a or greater on her last exam to pass the course her last exam to get a C in the course If Shery s lowest grade of the exams already taken is to be dropped she must receive a score of or greater on her last exam to get a C in the course Type a whole number

aces a 30 foot ladder against the side of a building with the bottom of the 138887 24 180117 How high up the wall does the ladder reach er reaches feet up the wall m ACCED THE S 1 24

Determine whether the argument is valid or invalid You may compare the argument to a standard form or use a truth pvq P q Is the argument valid or invalid O Valid O Invalid KILP

The store does not have a bathroom and the park does not have an ice skating Which statement is equivalent to the given sentence OA The store has a bathroom and the park does not have an ice skating rin OB The store has a bathroom and the park has an ice skating rink OC It is false that the store has a bathroom or the park has an ice skating ris OD It is false that the store has a bathroom and the park has an ice skating

If p is false q is true and P is true p q q v r Choose the correct answer below OA True because p A q is false and q v r is true OB True because p A q is true and q v r is false OC False because p q is false and q v r is true O D False because p A q is true and q V r is false

p q and r represent the following simple statements is snowing outside he job pays well he taxes are high te the symbolic statement in words q p Dose the correct answer below A If the taxes are not high then the job does not pay well and it is snowing outsi B If the taxes are high then the job pays well and it is snowing outside C If the taxes are high then the job does not pay well and it is not snowing outs D If the taxes are not high then the job pays well and it is snowing outside

Venn diagram shown to list the set An C in roster form 10 12 13 18 Ancy Use ascending order Use a comma to separate ar

Determine whether AB A A Saturday Tuesday Monday Wednesday B Saturday Wednesday If none of thes Which of the following are true statements Select all that apply BCA BCA A B ACB ACB

Choose the correct answer below OA E 30 31 32 33 86 OB E 30 31 32 33 OC E 30 31 32 33 85 OD E 29 30 31 32 OE E 29 30 31 32 86 OF E 29 30 31 32 85 a

Fill in the blanks below with the correct units a Salma s shoe weighs about 11 ounces b The length of a new pencil is abo c John baked a cake The recipe re ounces pounds

Fill in the blanks below with the correct units a Ali has a cellular phone Its mass is about 100 grams b Diane added 6 milliliters of cream to her coffee c Rafael s fingernail is about 12 wide

7 Mechanical engineering technicians were number of years of experience and their current salary The data is shown below Years of Experience a 1 2 2 5 b 6 Salary 6 8 c 27800 44500 34300 37800 51175 53500 58200 Create a scatter plot of this data Use GoogleDocs Sheets to create the scatter plot 2 marks Equation of Line of Best Fit e Complete a linear regression and state the equation of the line of best fit and the R2 value 2 marks R R correlation coefficient According to the correlation coefficient what type of correlation what shape exists with this data What is the STRENGTH AND DIRECTION of the 2 marks relationship Use the equation in b to determine the salary of someone with 4 years 2 marks experience SHOW YOUR WORK

The number of Bedrooms of homes in a certain community is shown on the table below Find the cumulative distribution for the table Use a value of 6 to stand for 6 or more bedrooms Number of Bedrooms Percent Cumulative 4 11 28 34 14 8 1 0 1 2 3 4 5 6 or more median Find the mean median and mode for the table If an answer does not exist enter DNE Round your mean to two decimal places mean bedrooms bedrooms

Suppose that for a certain mathematics class the scores are normally distributed with a mean of 75 and a standard deviation of 8 The teacher wishes to give A s to the top 7 of the students and F s to the bottom 7 The next 17 in either direction will be given B s and D s with the other students receiving C s Find the bottom cutoff for receiving an A grade You may need to use the standard normal distribution table Round your answer to the nearest whole number

3 Lisa Carr purchases a truck 55200 and plans to pay for the vehicle through the dealership s financing plan She makes monthly payments on this balance for 5 years and the financing rate is 5 20 compounded monthly What will Lisa s monthly payments need to be to pay off her balance in 5 years 3 marks FOR SIMPLE INTEREST I pxrxt Annuities FUTURE VALUE OF AN ANNUITY 1 1 For COMPOUND INTEREST A P 1 i PRESENT VALUE OF AN ANNUITY PV R 1 1 1

Suppose that the annual rainfall in Ferndale California is known to be normally distributed with a mean of 35 5 inches and a standard deviation of 2 5 inches About what percent of the years will it rain more than 36 inches in Ferndale You may need to use the standard normal distribution table Round your answer to two decimal places

A package of Toys Galore Cereal is marked Net Wt 11 oz The actual weight is normally distributed with a mean of 11 oz and a variance of 0 16 a What percent of the packages will weigh less than 11 oz b What weight will be exceeded by 2 3 of the packages Round your answer to one decimal place 07

Instant Dinner comes in packages with weights that are normally distributed with a standard deviation of 0 5 oz Suppose 2 3 of the dinners weigh more than 13 2 oz Determine the z score for the weight of 13 2 oz Round your answer to two decimal places Z What is the mean weight in oz Round your answer to one decimal place Oz

A normal distribution has a mean of 85 6 and a standard deviation of 4 81 Find the data value corresponding to the value of z given Enter your answer to four decimal places z 0 75

Consumer Products Interactive Disney recently reported segment operating income revenue and invested assets in millions as follows Invested Assets Media Networks 32 706 Parks and Resorts 28 275 Studio Entertainment 15 359 Consumer Products Interactive Media 5 528 9 332 a Use the DuPont formule to determine the return on investment for the four Disney segments Round Profit Margin and ROI to one decimal place and Investment Turnover to two decimal places Profit Margin Media Networks Parks and Resorts Studio Entertainment Consumer Products Interactive Media Profit Margin n Operating Income 7 755 3 298 2 703 1 965 Revenue 23 689 16 974 9 441 Investment Turnover Investment Turnover X X ROI

10 Jean Poole wants to purchase a home for 487 850 and plans to make a down payment of 13 A lender offers her a rate of 2 8 compounded semi annually amortized over 25 years Show the work to calculate the down payment on this situation 2 marks a b C d e Show the work to calculate the total amount to be mortgaged 2 marks What are the monthly payments Hint Use amount to be mortgaged Calculate the total amount paid when the mortgage is over How much interest was paid over the duration of the mortgage 2 marks 1 mark 2 marks

Margin Investment Turnover and Return on Investment The condensed income statement for the Consumer Products Division of Tri State Industries Inc is as follows assuming no support department allocations Sales Cost of goods sold Gross profit Administrative expenses 230 000 000 126 500 000 103 500 000 64 400 000 Operating income 39 100 000 The manager of the Consumer Products Division is considering ways to increase the return on investment a Using the DuPont formula for return on investment determine the profit margin investment turnover and return on investment of the Consumer Products Division assuming that 143 750 000 of assets have been invested in the Consumer Products Division If required round your answers to one decimal place Profit margin 17 Investment turnover Return on investment b If expenses could be reduced by 3 450 000 without decreasing sales what would be the impact on the profit margin investment turnover and return on investment for the Consumer Products Division If required round your answers to one decimal place Profit margin Investment turnover X Return on investment

3 Ahmed used a total of 2122 27 over several months to repay a simple interest loan with a 5 interest rate that he had borrowed four years ago What was the original amount of the loan a 1697 82 b 2193 01 c 2546 72 d 1768 56

2 In a small rural town city hall kept records on the number of cell phone users in the town Their results are shown below a b C I Q YEAR 2001 2002 2003 2004 2005 2006 2007 2008 NO OF USERS 499 875 1527 2672 4677 8186 14325 25069 1ST DIFF 2ND DIFF Fill in the appropriate columns in the table 3 marks What type of relationship does this situation represent HOW DO YOU KNOW 2 marks Is the rate of change increasing decreasing or remaining constant GIVE A REASON FOR YOUR ANSWER 2 marks 3 Lisa Carr purchases a truck 55200 and plans to pay for the vehicle through the dealership s financing plan She makes monthly payments on this balance for 5 years and the financing rate is 5 20 compounded monthly What will Lisa s monthly payments need to be to pay off her balance in 5 years 3 marks 14 Marks APPLICATION 4 Rick O Shay has weekly payments of 85 over the next 5 years on his student loan The interest rate on the loan is 9 36 compounded weekly How much is his loan worth NOW 4 marks

9 A flagpole sits on top of a tall building From the top of a smaller building the angle of elevation to the bottom of the flagpole is 34 shown while the angle of elevation to the top of the flagpole is 42 not shown The distances from the top of the smaller building to the bottom and top of the flagpole are 44 6 m and 49 8 m respectively shown How tall is the flagpole 5 marks I 34 49 8 m 42 44 6 m

The following data were summarized from the accounting records for Ruiz Industries Inc for the year ended November 30 2018 Cost of goods sold Commercial Division Residential Division Administrative expenses Commercial Division Residential Division 3 400 000 1 800 000 Operating income 750 000 375 000 Feedback Support department allocations Commercial Division Residential Division Sales Prepare divisional income statements for Ruiz Industries Inc Commercial Division Residential Division Sales Cost of goods sold Gross profit Administrative expenses Operating income before support department allocations Support department allocations Ruiz Industries Inc Divisional Income Statements For the Year Ended November 30 20Y8 Commercial Division 6 120 000 3 400 000 2 720 000 1 970 000 800 000 1 170 000 800 000 200 000 6 120 000 2 850 000 S Residential Division 2 850 000 1 800 000 1 050 000 0000

h k K Given the figure above if 3 4 DJ 28 and j 3 2 use the sine law to determine DL to the nearest degree a 26 Ob 27 O c 60 L d 30

6 An outdoor wedding takes place under a rented tent Material for the tent costs 4 90 per SQUARE METRE If the TENT HAS NO BASE determine the cost to make the tent Hint Think Surface Area 5 marks 4 m 10 m 3 m 15 m

Given sin 0 2 5 of cos cos 0 B TU and B T 2 and cos where 3 2 3 4 determine the value

J k Given triangle JKL if you are given the lengths of all three sides and the measure of ZJ which of the following can you then determine using the sign law a K L b L c both a and b d neither a nor b

1 Solve for x in each exponential equation HINT Make the bases the same on each side 5 marks a 45x 1 4x 11 b 2 64 1

17 Tanks A and B are rectangular tanks 25 cm Tank A 30 cm 15 cm 21000 7000m 40 cm Tank B 28 cm 25 cm V 25000 At first Tank A was empty and one quarter of Tank B was filled with water Then b taps were turned on at the same time Water from each tap flowed out at the rate 3 tres per minute How long did it take for the height of the water level to be the same in both tanks and oren

A company has budgeted shours to complete a project with of the time spent on research How much time does the company plan to spend on research Express your answer as a mixed number O 12 hours hours 5 hours hours

J Problem 3 25 Draw the influence line for the force in member KJ CJ and CD To get full credit you should present the calculation procedure L K A 00 88 C J 08880 880 B 6 ft 6 ft 6 ft D I E 6 ft 6 ft Figure 06 P38 39 Copyright 2012 Pearson Coucation publishing en Ha H 300 200 F 6 ft G 8 ft

A 5 foot tall woman walks at 7 ft s toward a street light that is 25 ft above the ground What is the rate of change of the length of her shadow when she is 15 ft from the street light At what rate is the tip of her shadow moving Let L be the length of the woman s shadow and let x be the woman s distance from the street light Write an equation that relates L and x

A street light is fastened to the top of a 16 5 ft high pole If a 5 5 ft tall woman walks away from the pole in a straight line over level ground at a rate of 5 ft s how fast is the length of her shadow changing when she is 12 ft away from the pole Let L be the length of the woman s shadow and let x be the woman s distance from the pole Write an equation that relates L and x

AA Airlines has 100 000 shares of common stock outstanding The stock is currently selling for 50 a share The firm also has 2 bond issues outstanding Each bond in all issues has a face value of 1 000 The first bond issue has a total face value of 500 000 and pays 8 percent interest annually This bond is selling at 82 0 percent of face value The second bond issue consists of 10 000 bonds which are selling for 1 100 each These bonds pay 12 percent interest annually and mature in 15 years The tax rate is 20 percent What is the capital structure weight of the firm s debt 69 53 30 47 79 11 33 33

7 Determine the point of intersection for the graphs of y 82x and y 2 8 5 Round your answer to three decimal places

Given The box crate is being lifted up the plane which is inclined at an angle using the motor winch M and the cord and pulley arrangement shown on the right The weight Fw of the crate is 500 Lb The surface on which the crate rest is very rough and the coefficient of static friction between the crate and the inclined plane supporting surface is 0 61 For this problem assume that the angle is 26 Kinematics a Label the pulley arrangement and derive the four kinematic equations which describe the crate s motion i e position displacement velocity and acceleration b Find the speed vp at which the cable must be taken up by the motor in order to move the crate up the plane with a speed of 1 ft sec c Find the relative velocity of the point P with respect to point A on the cord that is VPIA if the crate moves up the plane with a speed of 1 ft sec land oy 140 120 100 M

The management team of Floyd s Corner Markets has decided to expand by adding a retail shop on a vacant lot they own They will build a new building at an estimated cost of 1 5 million They will spend another 100 thousand on the parking and access roads The land was purchased ten years ago at a cost of 500 thousand Today the land could be sold for 1 6 million They will also need to add to the landscaping at a cost of 200 thousand Finally two new managers will be needed and the CFO has allocated 200 thousand in executive salaries to the project What is the cost of this expansion project 3 6 million 3 4 million 4 1 million 3 7 million

1 Given f x 2x and g x x 4 determine the expression for f g x

21 x x 6 2 0 denkleminin z m k mesini bulunuz

Ryan Plastics has a target debt to equity ratio of 0 25 Its cost of equity is 12 after tax cost of debt is 8 and tax rate is 40 What is the company s WACC 9 60 11 2 10 67 10 56

A project has the following cash flows What is the PI when the required return is 10 Year 0 1 2 3 CF 50 000 37 000 12 000 10 000 0 48 1 43 0 0213 1 02

swer Are the sets equal 28 30 32 34 36 30 32 34 36 No

5 A Ferris wheel in Niagara Falls has a diameter of 30 metres and one revolution takes 3 minutes to complete a Sketch a graph showing the height of a rider above the ground as a function of time if the rider gets on at a height of 1 metres at t 0 minutes b Determine the equation which expresses the height of the rider with respect to time Show all