Basic Math Questions and Answers

This question 2 point s possible Present value of a growing perpetuity What is the present value of a perpetual stream of cash flows that pays 10 000 at the end of year one and then grows at a rate of 4 per year indefinitely The rate of interest used to discount the cash flows is 12 The present value of the growing perpetuity is Round to the nearest cent GCCCB

Evaluate f 3 where f x is the piecewise function graphed below f 3 2

Add 9900000000 and 299000000using only Egyptian notation Write your answer as simply as possible Choose the correct sum below OA 9999200000 OB 9999990000 O C 999920000 OD 999990000

Use the histogram below to answer the questions Annual Car Insurance Premiums for Students Number of students 06 650 854 803 701 752 905 Price 625 675 676 726 727 777 778 828 829 879 880 930 956 1007 Second class 676 726 c How many students have an annual car insurance premium in the class with a class mark of 752 There are 7 students who have an annual car insurance premium in the class with a class mark of 75 d What is the class mark of the modal class The class mark of the modal class is 803 e Construct a frequency distribution from this histogram Number of Students 78 GOOD 6 2

a How many homes were included in the survey b In how many homes were five televisions observed c What is the modal class d How many televisions were observed e Construct a frequency distribution from this histogram There were 3 homes where five televisions were observed Type a whole number The modal class is 2 Type a whole number 1 There were 85 observed televisions Type a whole number Construct a frequency distribution from this histogram Televisions per home Number of Homes 0 1 00 III COTTE Number of Homes 565476 Televisions per Home Number of Televisions

F Use the accompanying frequency polygon to answer the following questions a How many people sent five e mail messages b How many people sent six or fewer e mail messages c How many people were included in the survey d Construct a frequency distribution from the frequency polygon e Construct a histogram from the frequency distribution in part d a There were 6 people who sent five e mail messages Type a whole number b There were 17 people who sent six or fewer e mail messages Type a whole number c There were people included in the survey Type a whole number CELLD Number of People Number of E mail Messages Sent per Day Number of Messages Sert 88 Q C

graph to the right the percentage of that cost for tuition fees room board and computer costs Determine in dollars for each category of tuition and fees is 4910 90 to the nearest cent as needed of room is 5416 50 o the nearest cent as needed of board is o the nearest cent as needed to Abend a Pub Tution Room Board Compu DE

Express the following equation as a function y f x 3xy 4y 1

Illustrate the addition or subtraction using Place Value Cards 4 94 99 5 74 258 6 821 230 662

traveled 12 102 At a given instant the jet plane has a speed of 400 ft s and an acceleration of 70 ft s acting in the direction shown Determine the rate of increase in the plane s speed and the radius of curvature p of the path 400 ft s 60 a 70 ft s P

Extra Practice Add or Subtract using your Units Strips and Mats then draw a diagram showing the steps 22 1 19 52 2 28 400

Cost to attend a public university in a recent year is 14 444 The circle graph to the right is the percentage of that cost for tuition fees room board and computer costs Determine most in dollars for each category cost of tuition and fees is nd to the nearest cent as needed COE Cost to Attend a Publ Tution Room Board Compu 000

12 101 A car moves along a circular track of radius 250 ft such that its speed for a short period of time 0 t 4 s is v 3 t t ft s where t is in seconds Determine the magnitude of its acceleration when t 3 s How far has it traveled in t 3 s

Marying table shows the ticket sales of the 15 highest grossing movies of all time adjusted for inflation in millions of dollars Construct a frequency distribution with a first class of 877 996 p Construct a histogram Construct a frequency polygon Construct a frequency distribution with a first class of 877 996 Sales million 5 Number of Movies 877 996 OND BOC DE em Cam 1785 1156 943 Ticket sales in millions of dollars 1233 982 902 1629 1136 912 1235 1117 906

8 67 32 9 237 96 Use the Instructional Algorithm for addition or subtraction to perform the operation 10 15 44 11 54 958 12 592 426 13 719 493 14 56 38 15 664 26

na frequency distribution another name for the midpoint of a class is the class na frequency distribution another name for the midpoint of a class is the class

as that are often used to compare parts of one or more components of the whole to the whole are called pie charts or

graph with observed values on its horizontal scale and frequencies on its vertical scale and that uses bars to indicate frequency is called a graph with observed values on its horizontal scale and frequencies on its vertical scale and that uses bars to indicate frequency is called a

frequency distribution the class with the greatest frequency is call the

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

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

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

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

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

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

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

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

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

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

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 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

What pin number is located in the upper left corner of an integrated chip 0 1 07 08 0 14 f