Basic Math Questions and Answers

1 Consider the experiment of rolling a die Let A be the event getting a prime number A prime number is a whole number greater than 1 that cannot be exactly divided by any whole number other than itself and 1 B be the event getting an odd number Find the following i P A or B ii P A and B 4 mar

c A car begins driving from a stationary position It accelerates at 4m s2 for 10 seconds then travels at a steady speed for another 10 seconds all in the same direction How much distance has it covered since it started driving 5 r

b In triangle XYZ XY 40 cm YZ 57 cm and XZ 81 cm The triangle is illustrated in the following figure Find the size of the angles X Y and Z N 57 81 40 6 ma

During a 10 year period of constant inflation the value of a 400 000 property will increase according to the equation v 400 000 0 0 a What will be the value of the property in 5 years b Use a table or graph to estimate when this property will be worth double its original value a The value of the property in 5 years will be Round to the nearest cent as needed

c Determine the position of any maximum and minimum points of the function y 2t 3 Show your work 6 m

Chau plans to set aside money for his young daughter s college tuition He will deposit money in an ordinary annuity that earns 3 6 interest compounded monthly Deposits will be made at the end of each month How much money does he need to deposit into the annuity each month for the annuity to have a total value of 71 000 after 14 years Do not round intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas 0

Use the formula S P 1 r to complete parts a and b a Graph the function that gives the future value of 70 000 invested at 5 compounded annually for t years Osts 12 b Find the future value of 70 000 invested for 15 years at 5 compounded annually a Choose the correct graph below 150000 Q b The future value is Round to the nearest cent as needed a 150000 Q Q 0 0 AS 150000 Q Q e

Gordon Sports Authority purchased inventory costing 24 000 by signing a 10 six month short term note payable The purchase occurred on June 1 2021 Gordon will pay the entire note principal and interest on the note s maturity date of December 1 2021 Journalize the company s a purchase of inventory and b payment of the note plus interest on December 1 2021 Record debits first then credits Exclude explanations from any journal entries a Journalize the company s purchase of inventory Date 2021 Journal Entry Accounts CITE Debit Credit

Find the sum of the first 23 terms of the sequence 4 3 10 Sho your work

ii Is 8 8 mod 5 Show your work

Ravi wants to save money to open a tutoring center He buys an annuity with a quarterly payment of 51 that pays 3 4 interest compounded quarterly Payments will be made at the end of each quarter Find the total value of the annuity in 10 years Do not round any intermediate computations and round your final answer to the nearest cent If necessary refer to the list of financial formulas s

e Decide which system has non trivial solutions we say that the system has a non trivial solution if the determinant of the matrix is zero Show your working i 4x y 0 2x 3y 0 ii x 2y 0 3x 6y 0

p Show whether the following function is continuous or discontinuous If it is find the point points of discontinuity of the function discontinuous f x for a 1 0 for x 1 2 x 1 for a 1

n 1 Is an 2n 1 If yes find a a2 a3 3 8 5 9 a general term of a geometric or arithmetic sequence O None of the other options are correct

7 Solve the equation 32 1 36 2 O x 4 0x 0x 0x 1

6 What is the inverse function of k x Ok x y 7 1 2y Ok x 1 2y 7 4 k x 721 Ok x 2 1 2z 7 x

8 If 5x 4 mod6 what is the least positive value of x O 3 05 O None of the other options are correct

1 A function f is said to be onto surjective if and only if O the range of f is a subset to the co domain of f O the range of f is equal to the domain of f the range of f is equal to the co domain of f O f a f b for all a and b in the domain of f 0 10

For each of the situations listed identify which of three principles integrity objectivity and independence or due care from the AICPA Code of Professional Conduct is violated Assume all persons listed in the situations are members of the AICPA Note Refer to the AIC Code of Professional Conduct a Lance recently graduated with an accounting degree and found a job in the payables department of Sawyer Sneaker Company Lance is in charge of adjusting entries for accrued liabilities that have been paid but he does not remember how to treat these because he has not seen them since one of his courses from his junior year in colle Lance assumes the accrued liabilities for this month are the same amounts as last r so he does not enter in the new accrual entries for this month and does not reverse Due care last month s entries b Frankie Candle Co is a small family owned company that only employs one accour Jenny Since Jenny is in charge of all areas of accounting and knows she will not get caught she decides to create fictitious accounts payable entries at Frankie Can for the company she owns Candle Supply Inc Principle from the AICPA Code of Professional Conduct that is violated c April is a newly hired auditor for Penny Blake a CPA firm Her father owns E E Vevermary Supply April is excited to be assigned to work on the account of E E since she understands the business well from working part time during summers there when she was growing up April does not disclose that her father owns E E because she knows she will not have any bias d Anne works in the payables department of Yellow Steel Inc She noticed that her company s current ratio is a little lower than the industry average In an attempt to improve the current ratio she decides not to accrue wages payable for this month Integrity Objectivity and independence

To help pay for new costumes for a play a theater invests 1600 in a 30 month CD paying 2 3 interest compounded monthly Determine the amour receive when it cashes in the CD after 30 months The theater will receive Round to the nearest cent as needed when it cashes in the CD

Fill in the blank to make an equivalent ratio 72 64 9 3 5 7 9 7 8 14 12 7 14 6 4 3 4 2 20 1 63 13 18 27 7 2 19 12 15 1 16 15 15 3 1 17 14 1 2 45 2 2 6 14 4 32 6 30 36 8 1 2 12 24 5 10 6 12 5 14 6 18 11 16 4 20 6 2 1 4 12 18 18 30 9 12 30 24 6 54 27 18

Listen PROBLEM SOLVING The table shows the annual profits in thousands of dollars of a county fair from 2013 to 2016 What must the 2017 profit be in hundreds of dollars to break even over the five year period Profit thousands of dollars Year 2013 2014 2015 2016 2017 2 5 1 4 3 3 1 4 period

Homework Directions Solve each problem below showing ALL work and using MCLE for all word problems Problem 1 644 8 26 2 Find the Lesson 18 Dividing Decimals by Wholes quotient of 185 92 and 56 Solve 3 A high school track is 9 76 meters wide It is divided into 8 lanes of equal width for track and field events How wide is each lane Check 4 In a dozen eggs there are 7 2 milligrams of iron How many milligrams of iron are in each egg

4 What is the slope of a line parallel to the line y 3x 4 46 51 yo 38

In the figure to the right what are the values of x and y

What is the equation of a line that is perpendicular to the line y 2x 1 and passes through the point 4 6

2 x 1 3x 5

3 The value of x solve for the variable 3214 Sellect all the correct answers x 3 x X x log 5 log 3 log 3 log 5 3 1 46 0 68

ii 99 people take a test Their scores out of 100 are 56 79 77 48 90 68 79 92 7156 79 77 48 90 68 79 92 71 Work out the mean median and mode of their scores show you work

Time allowed per column Z Name z 1 8 7 15 2 7 6 13 3 6 5 4 7 4 9 7 16 5 6 8 6 14 7 7 5 12 8 9 8 17 9 9 6 10 8 5 11 9 5 12 8 4 13 9 3 14 8 9 15 4 9 16 6 7 17 7 8 18 6 9 19 4 8 20 9 9 Number o 1 17 9 2 15 6 3 13 8 4 16 7 5 14 6 6 12 5 7 15 8 8 13 6 9 11 5 10 18 9 11 14 5 12 13 9 13 13 7 14 15 7 15 12 6 16 14 8 17 16 9 18 16 8 19 13 5 20 15 9

Persevere with Problems Lannie has 5 cups of chocolate chips She needs 12 cups to make one batch of chocolate chip cookies How many batches of chocolate chip cookies can she make batches X do 90 H 0

Round each number to the correct place value 1 Round to the nearest tenth 2 Round to the nearest tenth 3 Round to the nearest hundredth Round to the nearest tenth 4 Round to the nearest tenth 5 Round to the nearest whole number 146 8 6 Round to the nearest hundredth 9 Round to the nearest tenth Round to the nearest hundredth 7 Round to the nearest whole number 9 88 12 Round to the nearest hundredth 855 788 6 429 15 Round to the nearest hundredth 5 167 677 827 Round to the nearest hundredth 98 949 Round to the nearest tenth 11 Round to the nearest whole number 90 1 33 25 16 118 3 827 13 Round to the nearest whole number 71 7 14 Round to the nearest tenth 481 772 6 36 16 Round to the nearest whole number 2 4 534 212 7 Round to the nearest whole number 71 64 8 Round to the nearest whole number 45 9 98 244 10

Construct a truth table for the given statement q V p A p Complete the truth table P T T F 9 T F LL T P qvp q V p p

Answer Part B Convert 0 87 to a percent Answer Answer to a decimal Part C Convert 0 3 to a decimal Part D Convert 0 225 to a percent Answer Calculator Je

The desired daily output for an assembly line is 480 units This assembly line will operate 640 minutes per day The following table contains information on this product s task times and precedence relationships TASK time ABCDEFGH Workstation cycle TASK TIME SECONDS 40 25 75 15 59 Work Station 30 25 15 IMMEDIATE PREDECESSOR b What is the workstation cycle time 3x Task A B B Answer is complete but not entirely correct seconds per unit D C E G F c Balance this line using the largest number of following tasks Use the longest task time as a secondary criterion Leave no cell blank be certain to enter 0 wherever required Idle Time

Francis Johnson s plant needs to design an efficient assembly line to make a new product The assembly line needs to produce 30 units per hour and there is room for only five workstations The tasks and the order in which they must be performed are shown in the following table Tasks cannot be split and it would be too expensive to duplicate any task TASK TIME TASK MINUTES A TES 1 0 B 8 5 8 5 PUDEFG C 2 0 1 0 2 0 2 0 IMMEDIATE PREDECESSOR Workstation cycle time mmnal A B C b What is the workstation cycle time in minutes Round your answer to 1 decimal place minutes d What is the efficiency of your line balance Use the theoretical minimum number of workstations in your calculation Round your answer to 1 decimal place

Simplify the algebraic expression 10 2 3

Find the least common denominator for the group of denominators using the method of prime numbers 45 75 153 The least common denominator is

b 8a b 14ab 4ab 2ab

Rearrange to isolate variable y in the following equation and choose the correct answer 6 92 3 2

Simplify the algebraic expression 6x 4 2 2x

4x 10 36

Directions Graph each function and identify its key characteristics 1 f x x 2 f x x6 3 f x 4x5 Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Domain x int Increasing Interval Decreasing Interval Symmetry Discontinuities End Behavior Range y int Range y int Range y int

Name Omar Class 7 3 Kange in temperature 35 30 Gluph Double line graph 20 45 10 nitrice Comparing the ranges in tempera of my two coldest cities

Sept 14 2023 Graph Double line graph Jame omar Class 7 3 luge wat in any 35 30 25 15 10 5 Comparing the ranges in temperature of my two coldest cities by its cover

Tech Supplies Company Incorporated is a leading retaller specializing in consumer electronics A condensed Income stateme balance sheet for the fiscal year ended February 1 2020 are shown below Tech Supplies Company Incorporated Balance Sheet At February 1 2020 5 in millions Current assets Cash and cash equivalents Accounts receivable net Inventory Other current assets Total current assets Long term assets Total assets Assets Liabilities and Shareholders Equity Current liabilities Accounts payable Other current liabilities Total current liabilities Long term 11abilities Shareholders equity Total liabilities and shareholders equity Tech Supplies Company Incorporated Income Statement For the Year Ended February 1 2828 in millions Revenues Costs and expenses Operating incOND Other income expense Income before income taxes Income tax expense Net Income 14 Current ratio 1 b Acid test ratio 39 578 38 163 1 415 75 1 340 653 687 2 076 1 212 5 061 412 8 761 3 683 12 444 4 950 3 475 8 425 2 236 1 783 12 444 Includes 170 of Interest expense Required 1 a Calculate the current ratio for Tech Suppiles for its fiscal year ended February 1 2020 1 b Calculate the acid test ratio for Tech Suppiles for its fiscal year ended February 1 2020 1 c Calculate the debt to equity ratio for Tech Supplies for its fiscal year ended February 1 2020 1 d Calculate the times Interest eamed ratio for Tech Supplies for its fiscal year ended February 1 2020 Note For all requirements round your answers to 2 decimal places

3 ts eBook Print ferences A machine costing 211 600 with a four year life and an estimated 16 000 salvage value is installed in Luther Company s factory on January 1 The factory manager estimates the machine will produce 489 000 units of product during its life It actually produces the following units 121 700 in Year 1 123 500 in Year 2 121 500 in Year 3 132 300 in Year 4 The total number of units produced by the end of Year 4 exceeds the original estimate this difference was not predicted Note The machine cannot be depreciated below its estimated salvage value Required Compute depreciation for each year and total depreciation of all years combined for the machine under each depreciation method Note Round your per unit depreciation to 2 decimal places Round your answers to the nearest whole dollar Complete this question by entering your answers in the tabs below Straight Line Units of Production Year Year 1 Year 2 Year 3 Year 4 Total Compute depreciation for each year and total depreciation of all years combined for the machine under the Units of production Units Double declining balance Units of Production Depreciable Units 121 700 123 500 121 500 132 300 Depreciation per unit Straight Line Depreciation Expense Check my work Double declining balance

Assignment2 Problem 7 1 point Solve for X 44188 38 X Preview My Answers Submit Answers x 3 69

Emmett and Sean have a crazy idea They LOVE soda and think it would be amazing to swim in a pool full of soda They decide to fill their cylindrical swimming pool dimensions shown below with Dr Pepper Keep in mind that its not very fisable to fill a pool all the way to the top so they plan to only fill it 95 of the way They decide to purchase Dr Pepper in 2 liter bottles How much money will it cost them to fill up their swimming pool with Dr Pepper 12 ft INTEX T 30 in

zp Suppose a b and c are integers in that order on a number line from left to right Where is O in this line if ab 0 and a c 0 Choose one option 0 a b c a 0 b c with c CLOSER to 0 than a is a 0 b c with c FARTHER from 0 than a is a b 0 c with c CLOSER to 0 than bis a b 0 c with c FARTHER from 0 than b is a b c 0