Math - Others Questions

he graph with observed values on its horizontal scale and frequencies on its vertical scale is called a freque

In a stem and leaf display a the left group of digits is called the

e class width of a frequency distribution with a first class of 10 19 and a second class

ng of observed values and the corresponding frequency of occurrence of each value is called a ng of observed values and the corresponding frequency of occurrence of each value is called a distribution distributi

Enter the number that belongs in the green box 96 13 25 Round to the nearest hundredth Enter

Simplify each of the following completely 28 16 281 132 77 289 237 18 11 11

Plot the complex number 4 i 8 7 6 5 Clear All Draw Dot 3 27 8 7 6 5 4 3 2 1 1 12 2 3 5 6 7 8 2 3 4 5 6 7 8

Every morning Jessica drinks of a quart of orange juice How many mornings will Jessica have orange juice for if she only has a total 1 quarts of orange juice mornings

nment Part 1 of 3 O Points 0 of 1 Comprehensive Problem Suppose that you are in the fall of your senior year and are faced with the choice of either getting a job when you graduate or going to law school Of course your choice is not purely financial However to make an informed decision you would like to know the financial implications of the two alternatives Let s assume that your alternatives are as follows If you take the get a job route you expect to start off with a salary of 35 000 per year There is no way to predict what will happen in the future your best guess is that your salary will grow at 4 percent per year until you retire in 43 years As a law student you will be paying 20 000 per year tuition for each of the 3 years you are in graduate school However you can then expect a job with a starting salary of 70 000 per year Moreover you expect your salary to grow by 9 percent per year until you retire 37 years later Clearly your total expected lifetime salary will be higher if you become a lawyer However the additional future salary is not free You will be paying 20 000 in tuition at the beginning of each of the 3 years of law school In addition you will be giving up a little more than 109 000 in lost income over the three years of law school 35 000 the first year 36 400 the second year and 37 856 the third year a To start your analysis of whether to go to law school calculate the present value of the future earnings that you will realize by going directly to work assume a discount rate of 10 percent b What is the present value today of your future earnings if you decide to attend law school assuming a discount rate of 10 percent Remember that you will be in law school for 3 years before you start to work as a lawyer Hint assume that you are paid at the end of each year so that your first salary payment if you decide to go to law school occurs 4 years from now c If you pay your law school tuition at the beginning of each year what is the present value of your tuition assuming a discount rate of 10 percent a What is the present value of the future earnings that you will realize by going directly to work assuming a discount rate of 10 percent Round to the nearest cent

Essignment The amount of money Homer will have 5 years from now is S Question 3 P6 35 similar to O Points 0 of 1 Related to Checkpoint 6 1 Future value of an annuity Imagine that Homer Simpson actually invested the 100 000 he earned providing Mr Burns entertainment 10 years ago at 7 percent annual interest and that he starts investing an additional 1 600 a year today a the beginning of each year for 5 years at the same 7 percent annual rate How much money will Homer have 5 years from today Round to the nearest cent Sa

Question 14 P6 52 similar to O Points 0 of 1 Present value of complex cash flows How much do you have to deposit today so that beginning 11 years from now you can withdraw 15 000 a year for the next 7 years periods 11 through 17 plus an additional amount of 30 000 in the last year period 17 Assume interest rate of 11 percent gnment The amount of money you have to deposit today is Round to the nearest cent EXTE Sav

Part 1 of 2 a How much will Selma have when she retires S Round to the nearest cent Points 0 of 1 aving for retirement future value of an annuity Selma and Patty Bouvier are twins and both work at the Springfield DMV Selma and Patty Bouvier decide to save for retirement which is 35 years away They ll both receive an annual return of 7 percent on their vestment over the next 35 years Selma invests 1 900 per year at the end of each year only for the first 10 years of the 35 year period for a total of 19 000 saved Patty doesn t start saving for 10 years and then saves 1 900 per year at the end of each year for the maining 25 years for a total of 47 500 saved How much will each of them have when they retire

ssignment O Points 0 of 1 Comprehensive problem You would like to have 54 000 in 13 years To accumulate this amount you plan to deposit an equal sum in the bank each year that will earn 8 percent interest compounded annually Your first payment will be made at the end of year a How much must you deposit annually to accumulate this amount b If you decide to make a large lump sum deposit today instead of the annual deposits how large should this lump sum deposit be Assume you can earn 8 percent on this deposit c At the end of five years you will receive 10 000 and deposit this in the bank toward your goal of 54 000 at the end of year 13 In addition to the lump sum deposit how much must you deposit in equal annual amounts beginning in year 1 to reach your goal Again assume you can eam 8 percent on your deposits a How much must you deposit annually to accumulate this amount Round to the nearest cent Part 1 of 4 CETES Sa hs

18 The present value of the contract is Round to the nearest cent Present value of a complex stream Don Draper has signed a contract that will pay him 50 000 at the end of each year for the next 10 years plus an additional 100 000 at the end of year 10 If 8 percent is the appropriate discount rate what is the p this contract Points 0 of 1 ETTE

Part 1 of 2 a If the retirement account will pay 27 percent annually how much money will Mr Burns need when he retires SI billion Round to three decimal places Points 0 of 1 Future value of a complex annuity Springfield mogul Montgomery Burns age 85 wants to retire at age 100 so he can steal candy from babies full time Once Mr Burns retires he wants to withdraw 0 8 billion at the beginning of each year for 7 years from a special offshom account that will pay 27 percent annually In order to fund his retirement Mr Burns will make 15 equal end of the year deposits in this same special account that will pay 27 percent annually How much money will Mr Burns need at age 100 and how large of an annual deposit must he make to fund this retirement account C Save

Part 1 of 2 HW Score 0 O Points 0 of 1 a If the appropriate discount rate is 13 the present value of the growing perpetuity is Round to the nearest cent 20 points S elated to Checkpoint 6 5 Present value of a growing perpetuity What is the present value of a perpetual stream of cash flows that pays 1 000 at the end of year one and the annual cash flows grow at a rate of 4 per year indefinitely if the appropriate discount 3 What if the appropriate discount rate is 11

Present value of an uneven stream of payments You are given three investment alternatives to analyze The cash flows from these three investments are as follows Investment End of Year 1 2 A 3 000 4 000 5 000 6 000 5 6 000 Click on the icon in order to copy its contents into a spreadsheet What is the present value of each of these three investments if the appropriate discount rate is 13 percent 3 4 B 3 000 3 000 3 000 3 000 5 000 C 6 000 6 000 6 000 6 000 16 000 C a What is the present value of investment A at an annual discount rate of 13 percent Round to the nearest cent 4

Present value of a growing perpetuity As a result of winning the Gates Energy Innovation Award you are awarded a growing perpetuity The first payment will occur in a year and will be for 20 000 You will continue receiving monetary awards annually with each award increasing by 6 percent over the previous award and these monetary awards will continue forever If the appropriate interest rate is 14 percent what is the present value of this award The present value of the award is Round to the nearest cent Points U of 1 IIB

Present value of annuities and complex cash flows You are given three investment alternatives to analyze The cash flows from these three investments are as follows End of Year 1 234567 8 A 19 000 19 000 19 000 19 000 19 000 Investment B 19 000 19 000 19 000 19 000 C 24 000 72 000 a What is the present value of investment A at an annual discount rate of 24 percent Round to the nearest cent 2

Related to Checkpoint 6 6 Present value of annuities and complex cash flows You are given three investment alternatives to analyze The cash flows from these three investments are as follows Investment Alternatives End of Year 1 2 3 4 5 6 7 8 9 A 11 000 11 000 11 000 11 000 11 000 B 11 000 11 000 11 000 11 000 11 000 C 11 000 55 000 a What is the present value of investment A at an annual discount rate of 24 percent Round to the nearest cent

Essignment Part 1 of 4 O Points 0 of 1 Comprehensive problem Over the past few years Microsoft founder Bill Gates net worth has fluctuated between 20 billion and 130 billion In early 2006 it was about 26 billion after he reduced his stake in Microsoft from 21 percent to around 14 percent by moving billions into his charitable foundation Let s see what Bill Gates can do with his money in the following problems a Manhattan s native tribe sold Manhattan Island to Peter Minuit for 24 in 1626 Now 387 years later in 2013 Bill Gates wants to buy the island from the current natives How much would Bill have to pay for Manhattan if the current natives want a 6 percent annual return on the original 24 purchase price b Bill Gates decides to pass on Manhattan and instead plans to buy the city of Seattle Washington for 70 billion in 10 years How much would Bill have to invest today at 11 percent compounded annually in order to purchase Seattle in 10 years c Now assume Bill Gates only wants to invest half his net worth today 13 billion in order to buy Seattle for 70 billion in 10 years What annual rate of return would he have to earn in order to complete his purchase in 10 years Save d Instead of buying and running large cities Bill Gates is considering quitting the rigors of the business world and retiring to work on his golf game To fund his retirement Bill would invest his 20 billion fortune in safe investments with an expected annual rate of return of 7 percent He also wants to make 40 equal annual withdrawals from this retirement fund beginning a year from today running his retirement fund to 0 at the end of 40 years How much can his annual withdrawal be in this case GZZZD a The amount Bill would have to pay for Manhattan if the current natives wanted a 6 percent annual return on the original 24 purchase price after 387 years is billion Round to two decimal places

O Points 0 of 1 Present value of a growing perpetuity What is the present value of a perpetual stream of cash flows that pays 70 000 at the end of year one and then grows at a rate of 5 per year indefinitely The rate of interest used to discount the cash flows is 12 The present value of the growing perpetuity is S Round to the nearest cent CILE

signment Part 1 of 3 HW Score 0 0 of 20 points O Points 0 of 1 a Using a spreadsheet to calculate your answer your monthly payments will be Round to the nearest cent Save Components of an annuity payment You take out a 30 year mortgage for 375 000 to buy a new house What will your monthly payments be if the interest rate on your mortgage is 6 percent Use a spreadsheet to calculate your answer Now calculate the portion of the 48th monthly payment that goes toward interest and principal Use five decimal places for the monthly interest rate in your calculations

O Points 0 of 1 Present value of a perpetuity At a discount rate of 18 00 find the present value of a perpetual payment of 4 000 per year If the discount rate were lowered to 9 00 half the initial rate what would be the value of the perpetuity Part 1 of 2 a If the discount rate were 18 00 the present value of the perpetuity is Round to the nearest cent CIXE

Related to Checkpoint 6 4 Present value of a perpetuity What is the present value of a 4 500 perpetuity discounted back to the present at 11 percent The present value of the perpetuity is S Round to the nearest cent

phasors 10 j5 3 j6 15 j25 24 j30 36 j18 100 j250 300 j250 820 j320 241 j520

Find the rectangular form of the following phasors P 10 0 45 P 5 0 30 P 25 0 60 P 54 0 90 P 65 0 34 P 95 0 56 P 250 0 20 P 8 0 42 P 35 0 65 P 150 0 15

vater should be added to 10mL of 6 alcohol solution to reduce the concentration to 5

Click the icon to view the Atlanta Airline Data Conduct a Pareto analysis for the number of minutes that flights are late Type an integer or decimal rounded to two decimal places as needed Cumulative Time Cumulative Time Cumulative Flights Difference Difference Atlanta Airline Data Flight Number Origin Airport 373 1926 1924 2009 1248 1032 2016 1790 1914 1908 1920 1617 2088 409 1899 543 1982 151 28 RDU DFW DFW EWR PBI PHX JAX SAT DFW DEN DFW MEM IAH CLT RIC DFW MIA SLC MCO Scheduled Arrival Time 08 44 19 15 16 30 11 13 12 59 19 40 13 09 16 40 10 08 18 10 14 03 16 09 12 42 08 48 08 51 08 42 08 35 15 25 14 10 Actual Arrival Time 09 09 02 44 04 23 15 33 13 05 22 18 15 35 17 15 10 13 18 44 14 35 16 36 13 10 09 17 13 16 09 11 09 02 15 50 14 15 Taxi in Difference Minutes Time Minutes E 9 13 8 Time 25 449 713 260 6 158 146 35 5 34 32 27 28 29 265 29 27 25 12 11 9 8 10 9 7 10 13 12 8 7 19 16 12 10

The accompanying data for the S P 500 provides open high low and close values for the S P index over a period of time Complete parts a through c below Click the icon to view the S P Index a Enter any day from July to August 2013 within the range of the data in cell G2 Use a MATCH function in cell G3 to find the row in the database that corresponds to this day Day 1 representing August 1 2013 has been added to cell G2 What MATCH function should be used in cell G3 to find the row in the database that corresponds to this day D A 1 S P 500 Data 2 3 4 5 6 B 22 23 24 C E F Day Database Day July to August 2013 Open High Low Close row 1694 41 1697 61 1690 67 1695 53 1696 63 1698 78 1691 13 1692 39 1696 06 1698 381682 57 1685 94 G MATCH G2 A4 A23 1 MATCH G2 A4 E23 1 MATCH G3 B4 B23 0 Day July to August 2013 High Close 1697 61 1690 67 1695 53 Open 22 1694 41 23 1696 63 1698 78 1691 13 1692 39 24 1696 06 1698 38 1682 57 1685 94 25 1685 21 1690 94 1680 07 1690 25 26 1687 31 1691 85 1676 03 1691 65 29 1690 32 1690 92 1681 86 1685 33 30 1687 92 1693 19 1682 42 1685 96 31 1 2 5 6 1687 76 1698 43 1684 94 1685 73 1689 42 1707 85 1689 42 1706 87 1706 1 1709 67 1700 68 1709 67 1708 01 1709 24 1703 55 1707 14 1705 79 1705 79 1693 29 1695 3 1695 3 1684 91 1693 35 1700 18 1688 38 1696 1 1699 42 1686 02 1688 37 1691 49 1683 35 1690 65 1696 81 1682 62 1697 37 1690 91 1697 48 1691 42 1689 47 1694 16 1685 39 1693 88 1695 52 1684 83 1679 61 1679 61 1658 59 1661 32 16 1661 22 1663 6 1652 61 1655 83 7 8 9 12 13 14 15 Low

26 Martian officials predict that by the year 8593 there will be 750 000 000 active volcanoes on the planet These active volcanoes will represent one fourth of all volcanoes v Which equation represents the total number of volcanoes in 8593 750 000 000 750 000 000 4v V 750 000 000

Convert the accompanying database to an Excel table to find a The total cost of all orders b The total quantity of airframe fasteners purchased c The total cost of all orders placed with Manley Valve Click the icon to view the database a The total cost of all orders is 652 440 5 b The total quantity of airframe fasteners purchased is airframe fasteners 1 2 Hulkey Fasteners 3 Alum Sheeting 4 Manley Valve 5 Fast hyphen Tie Aerospace 6 Fast hyphen Tie Aerospace 7 Steelpin Inc 8 Fast hyphen Tie Aerospace 9 Manley Valve 10 Steelpin Inc 11 Durrable Products 12 Fast hyphen Tie Aerospace 13 Fast hyphen Tie Aerospace 14 Steelpin Inc Supplier 15 Hulkey Fasteners 16 Manley Valve 17 Hulkey Fasteners 18 Steelpin Inc 19 Steelpin Inc 20 Alum Sheeting 21 Hulkey Fasteners B Item Description Airframe fasteners Airframe fasteners Hatch Decal Shielded Cable ft Shielded Cable ft Shielded Cable ft Shielded Cable ft Machined Valve Bolt nut package Pressure Gauge O Ring Shielded Cable ft Shielded Cable ft Electrical Connector Pressure Gauge Hatch Decal Electrical Connector Bolt nut package Control Panel Electrical Ca Item Cost 4 25 3 75 1 05 1 05 1 05 1 1 1 05 655 5 3 75 90 2 45 1 05 1 1 25 100 5 0 75 1 65 3 75 255 D E Quantity Cost per order 82875 45000 588 24150 24675 19250 24675 81937 5 15937 5 19500 12000 560 23000 23500 17500 23500 125 4250 100 1300 22500 18200 5600 80 600 4500 4200 506 9000 3185 23625 18200 7000 8040 450 7425 15750 129030

Modify the accompanying credit risk data using IF functions to include new columns classifying the checking and savings account balances as low if the balance is less than 250 medium if at least 250 but less than 2000 and high otherwise Click the icon to view the Credit Risk data Classify the checking and savings account balances as low medium or high A B C D E 1 Loan Purpose Checking Savings Gender Marital Status Single Married 2 Education 3 Business 4 New Car 250 5 Furniture 91 6 Small Appliance 700 7 Business 890 8 Education 580 9 Retraining 344 10 Small Appliance 100 11 Repairs 0 600 900 3500 1100 250 4871 300 2000 500 2000 9000 800 M F M F M M F M F M Single Single Divorced Single Married Single Single Divorced F Checking Savings Account Status Account Status G V V Y Credit Risk Data Loan Purpose Checking Education Business New Car Furniture 600 900 250 91 Small Appliance 700 Business 890 580 Education Retraining Small Appliance 100 344 Repairs 0 Savings 3500 1100 250 4871 300 2000 500 2000 9000 800 Print Gender MFMFMMLMLM h Marital Status Single Married Single Single Divorced Single Married Single Single Divorced X

vert the accompanying database to an Excel table to find The total cost of all orders The total quantity of airframe fasteners purchased he total cost of all orders placed with Manley Valve Click the icon to view the database The total cost of all orders is Supplier 1 2 Hulkey Fasteners 3 Alum Sheeting 4 Manley Valve 5 Fast hyphen Tie Aerospace 6 Fast hyphen Tie Aerospace 7 Steelpin Inc 8 Fast hyphen Tie Aerospace 9 Manley Valve 10 Steelpin Inc 11 Durrable Products 12 Fast hyphen Tie Aerospace 13 Fast hyphen Tie Aerospace 14 Steelpin Inc 15 Hulkey Fasteners 16 Manley Valve 17 Hulkey Fasteners 18 Steelpin Inc 19 Steelpin Inc 20 Alum Sheeting 21 Hulkey Fasteners 33 22 lain los Item Description Airframe fasteners Airframe fasteners Hatch Decal Shielded Cable ft Shielded Cable ft Shielded Cable ft Shielded Cable ft Machined Valve Bolt nut package Pressure Gauge O Ring Shielded Cable ft Shielded Cable ft Electrical Connector Pressure Gauge Hatch Decal Electrical Connector Bolt nut package Control Panel Electrical Connector Flactrical Connector 4 25 3 75 1 05 1 05 1 05 1 1 1 05 655 5 3 75 90 2 45 1 05 1 1 25 100 5 0 75 1 65 3 75 255 1 25 11 19500 12000 560 23000 23500 17500 23500 125 4250 100 1300 22500 18200 5600 80 600 4500 4200 506 5500 4850 82875 45000 588 24150 24675 19250 24675 81937 5 15937 5 9000 3185 23625 18200 7000 8040 450 7425 15750 129030 6875 5335

A bank developed a model for predicting the average checking and savings account balance as balance 19 681 326 age 1 347 x years education 0 117 x household wealth a Explain how to interpret the numbers in this model b Suppose that a customer is 35 years old is a college graduate so that years education 16 and has a household wealth of 160 000 What is the predicted bank balance a The number 19 681 The number 326 The number 1 347 The number 0 117 11111 means that the average account balance decreases by 0 117 for each 1 increase in household wealth means that the average account balance increases by 0 117 for each 1 increase in household wealth means that the average account balance decreases by 0 117 for each 1 increase in household wealth means that the average account balance increases by 0 117 for each 1 increase in household wealth does not have a mean ful interpretation

A supermarket has been experiencing long lines during peak periods of the day The problem is noticeably worse on certain days of the week and the peak periods sometimes differ according to the day of the week There are usually enough workers on the job to open all cash registers The problem the supermarket manager faces is knowing when to call some of the workers who are stocking shelves up to the front to work the checkout counters Use this information to answer the given questions How might business analytics help the supermarket manager Select all that apply A Business analytics can help to predict customer demand at the checkout counters and determine the appropriate number to have open B A model might be developed to find the number of checkout counters to open to ensure a reasonable wait time or maximize customer throughput C The manager can use analytics by examining historical data on customer flow during each hour of each day of the week and month A D The manager can use analytics to schedule the minimum necessary or predicted number of workers for cash registers in order to ensure that none of the cash registers are idle E A model can be developed to forecast customer demand for a set amount of time in the future

Use Pivot Tables to find the number of sales transactions by product and region total amount of revenue by region and total amount of revenue by region and product in the accompanying Sales Transact data Click the icon to view the Sales Transactions data Use PivotTables to find the number of sales transactions by product and region Type whole numbers Count of Amount Book DVD Grand Total East North South West Grand Total Sales Transactions Cust ID 10001 10002 Region East West 10003 North 10004 West 10005 South 10006 West 10007 East 10008 West West South 10011 South 10012 East 10013 North 10014 East 10015 West 10016 West 10017 West 10018 West 10009 10010 DVD DVD 24 52 Book 15 61 17 30 179 37 Book DVD Book 22 99 Book Transaction Code Amount Product 93852577 20 43 DVD 74083490 18 07 64942368 23 98 70264827 35208817 20978903 80292759 14132683 40128225 49656996 57398827 34400661 54782609 62597750 51555882 64500628 26623353 78591421 15 92 DVD 24 95 DVD 26 17 Book Book DVD 20 39 20 59 152 49 Book 21 01 23 26 21 81 DVD DVD Book 20 16 Dal 0 X

A graphing calculator is recommended A hawk flying at 17 m s at an altitude of 204 m accidentally drops its prey The parabolic trajectory of the falling prey is described by the equation y 204 x 51 until it hits the ground where y is its height above the ground and x is its horizontal distance traveled in meters Calculate the distance traveled in m by the prey from the time it is dropped until the time it hits the ground Express your answer correct to the nearest tenth of a meter m

Suppose that a manufacturer can produce a part for 9 00 with a fixed cost of 5 000 Alternately the manufacturer could contract with a supplier in Asia to purchase the part at a cost of 12 00 which includes transportation a If the anticipated production volume is 1 500 units compute the total cost of manufacturing and the total cost of outsourcing b What is the best decision a The total cost of manufacturing is Simplify your answer

Find the consumers surplus if the demand function for a particular beverage is given by D q 8000 8q 5 and if the supply and demand are in equilibrium at q

3 Kate is planning on going to the pool a lot this summer It costs 5 to go each time but Kate noticed that the pool also offers a Summer Discount Card and a Summer Flat Rate Card The Discount card costs 50 but would allow her to go to the pool for only 2 each time The Flat Rate card costs 200 but would let her in to the pool for free all summer a What factors will be most important when Kate is deciding to buy the Discount card the Flat Rate card or neither b Write an equation for each of the three scenarios Explain your thinking c Graph your equations in a graphing utility or in a calculator What does the x axis represent What does the y axis represent d What do the intersection points of the lines represent e Decide which plan you think is the best and explain why

Plot the intercepts to graph the equation 2x 3y 6 Use the graphing tool to graph the equation Use the intercepts when drawing the line If only one intercept exists use it and another point to draw the line Click to enlarge graph 404 18

The 5 V level of a TTL digital signal is also called a logical O 0 or LOW O 0 or HIGH O 1 or LOW O 1 or HIGH

Complete the following hexadecimal counting sequence FC FD FE FF O FG O AA O 100

Complete the following binary counting sequence 100 101 110 111 O 1000 O 000 08

Subtract these Binary numbers 100001 11110 O 10 0 11 0 3 O 111111 As

A waveform that has just two distinct voltages such as O V and 3 5 V is called a an signal O AM O Analog 4 O Digital O FM

Subtract these Binary numbers 1111 101 O 10100 1010 O 0101 1111110110

A simple to use instrument often employed to detect logic levels is the O Logic analyzer O Logic comparator O Logic probe A

Which segments of a seven segment display light to produce the number 2 O a b d e g O a c d f g 02 O a c