Basic Math Questions and Answers

3 9 1 9 1 ation Linear with positive slope Linear with negative slope O Non linear possibly quadratic or increasing exponential Non linear possibly hyperbolic or decreasing exponential

The current gasoline price is 4 24 per gallon and it is projected to increase next year by 5 8 the following year a 10 the third year What is the average inflation rate for the projected gasoline price for the next three years The average inflation rate is Round to two decimal places

nja Jensen is idering the purchase of a fast food franchise Sonja will be operating on a lot that is to be converted into a parking lot in six years but that may be rented in the interim for 800 per month The franchise and necessary equipment will have a total initial cost of 52 000 and a salvage value of 8 000 in today s dollars after six years Sonja is told that the future annual general inflation rate will be 5 The projected operating revenues and expenses in actual dollars other than rent and depreciation for the business are given in the table below Assume that the initial investment will be depreciated under the five year MACRS and that Sonja s tax rate will be 30 Sonja can invest her money at a rate of at least 13 in other investment activities during this inflation ridden period Click the icon to view the projected operating revenues and expenses Click the icon to view the MACRS depreciation schedules a Determine the cash flows associated with the investment over its life Fill in the table below Round to the nearest dollar Period 0 1 Net Cash Flow Actual Dollars

pol 7 3P 17 Number of voters 1st choice 2nd choice 3rd choice 4th choice 5 How many Borda points does candidate D earn in this election A 51 points B 31 points 5 11 7 20 14 8 ACDCD B B BDA CDA B B DACA C 6 Using the Borda count method find the winner of the election For full credit you must show the correct number of Borda Points the winner receives G 2 30 5 6 MULTIPLE CHOICE olve the problem 7 An election involving 5 candidates and 30 voters is held and the results of the election are to be determined using the Borda count method Assuming there isn t a five way tie the minimum number of points a winning candidate can receive is 7

Consider the following project s after tax cash flow and the expected annual general inflation rate during the project period Click on the following icon in order to copy its contents into a spreadsheet Expected End of Year 0 1 2 3 Cash Flow in Actual 45 000 32 000 32 000 32 000 General Inflation Rate 3 6 4 4 5 4 a Determine the average annual general inflation rate over the project period The average annual general inflation rate is 4 46 Round to two decimal places b Convert the cash flows in actual dollars into equivalent constant dollars with the base year 0 The equivalent cash flow in constant dollars at the end of year 0 is The equivalent cash flow in constant dollars at the end of year 1 is 45 000 Round to the nearest dollar Round to the nearest dollar

If the inflation rate is 4 per year and the market interest rate is known to be 10 per year what is the implied real interest inflation free rate in this inflationary economy The implied real interest inflation free rate is Round to two decimal places

Week 5 Discussion Post A iscussion Board Posts 25 total s a measure of your participation you will write 200 word minimum esponses to the readings as well as responding to at least one other post In hese posts I want to see concrete examples where you critically reflect on the readings This can include citing specific photographs and photographers theoretical connections between different readings ideas themes and or the author s own argument Please refer to my separate guide on discussion posts for full details Posts are due by Sunday 6pm almost every week There will not ANDREW J RUSSELL Trestle Work Promontory Point Salt Lake Valley circa 1868 69 from Sun Pictures of Rocky Mountain Scenery 1868 10 13 inches Albu men silver print Andrew J Russell painted panoramas before documenting the Civil War and the construction of the Union Pacific Railroad during 1868 70 Russell replicated the panorama s narrative linear approach in his railroad pictures accounting for one section of track after the next hardly getting out of sight of the rails The photog raphers accompanying the government surveys traveling along invisible meridi an and parallel lines labeled their prints with their precise locations Russell not only documented the joining of the rails but also the engineering accomplish ments of a multinational work crew composed largely of Chinese immigrants The cks trestles and water towers added new

Find the Banzhaf power distribution of the weighted voting system 27 17 15 11 10 Give each player s power as a fraction or decimal value P P P3 P4

In the weighted voting system 16 9 8 7 which player is pivotal in the sequential coalition P3 P1 P2 O P O P P3

If there were a six player coaltion how many diferent sequential coaltions would there be O 420 O 520 O 620 O 720 E

Marginal Analysis Elasticity Course Packet on marginal analysis The weekly demand for Xbox Math Hero video games is given by p x 110x 450 where x is the number of Xbox video games produced and sold and p is in dollars Using the Marginal Revenue function R x approximate the marginal revenue when 10 Math Hero video gam have been produced and sold dollars

Marginal Analysis Elasticity Course Packet on marginal analysis The daily cost in dollars of producing Samsung VR headsets is given by C x 1600 300x 9x where x denotes the number of headsets produced in a day and the total revenue in dollars is given by R x 8000x 20x Using the marginal average profit function P x approximate the marginal average profit when 4 headsets have been produced and s

Marginal Analysis Elasticity Course Packet on elasticity of demand Determine whether each statement is true or false You have one submission for each statement a If demand is unitary when the unit price is p 4 then revenue will decrease if the unit price is increased slightly from 5 OTrue OFalse b If demand is unitary when the unit price is p 4 then revenue will decrease if the unit price is increased slightly from 3 OTrue OFalse c Total revenue is decreasing when the demand is elastic and the price is increased slightly OTrue OFalse d Total revenue is maximized at the equilibrium point OTrue OFalse e Total revenue is increasing when the demand is inelastic and the price is increased slightly OTrue OFalse f Total revenue is maximized when the demand is unitary OTrue OFalse

on basic rules of differentiation an example of the Let f x 2x2 9x 6 9 2 Compute f x 2x 9x 6 4x 9 f x X

37 00 57 21 Leonardo who is married but files separately earns 81 600 of taxable income He also has 16 600 in city of Tulsa bonds His wife Theresa earns 51 600 of taxable income If Leonardo earned an additional 31 600 of taxable income this year what would be the marginal tax rate on the extra income for 2023 Use tax rate schedule Note Do not round intermediate calculations Round your final answer to two decimal places Multiple Choice O 22 00 percent 14 06 percent 24 00 percent 2313 percont

Work required Write v as a linear combination of u u2 and u3 if possible If not possible enter NS in each blank v 1 7 2 u 1 3 5 u 2 1 3 u3 3 2 4 v au bu2 cu3 where a b 9 and c

If A is a 3 x 3 matrix and det A 17 What is det 2A

Given A 1 2 2 3 0 1 1 2 2 2 Find the cofactor ca

05 A common income shifting strategy is to Multiple Choice O O O shift income from low tax rate taxpayers to high tax rate taxpayers shift deductions from low tax rate taxpayers to high tax rate taxpayers shift deductions from high tax rate taxpayers to low tax rate taxpayers accelerate tax deductions None of the choices are correct

So my current grade is 91 94 My midterm is weight 25 On the midterm I got 30 100 30 So what grade do I get after midterm B And what if I got 20 100 20 Please calculate both

Which of the following statements best describes the purpose of closing entries O To complete the record of various transactions that were started in a prior period O To faciliate posting and taking a trial balance O To determine the amount of net income or net loss for the following period O To reduce the balances of revenue and expense accounts to zero so that they may be used to accumulate the revenues and expenses of the next period

Recording the adjusting entry for depreciation has the same effect as recording the adjusting entry for O an accrued revenue O a prepaid expense an unearned revenue an accrued expense

The double entry accounting system means Each transaction is recorded with two journal entries O Each item is recorded in a journal entry then in a general ledger account O The dual effect of each transaction is recorded with a debit and a credit O None of these answer choices are correct

An adjusting entry to record an accrued expense involves a debit to a an expense account and a credit to a prepaid account expense account and a credit to a liability account O liability account and a credit to an expense account O expense account and a credit to Cash

ent Attempt in Progress Stockholders equity is not affected by all O dividends expenses O cash receipts revenues

A Eliminate the arbitrary constants of y C sin 2x C cos 2x 3x B Prove that y 2 x 1 c is a solution of x 1 y y2 0

3 1 A 520 ft long equal tangent crest vertical curve connects tangents that intersect at station 340 00 and elevation 1325 ft The initial grade is 4 0 and the final grade is 2 5 Determine the elevation and stationing of the high point PVC and PVT

A national newspaper reported that the state with the longest mean life span is Hawaii where the population mean life span is 74 years A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span in years of Honolulu residents X 72 68 81 93 56 19 78 94 83 84 47 66 69 85 97 75 71 86 S 77 USE SALT a Use a calculator with sample mean and standard deviation keys to find and s in years Round your answers to four decimal places x x b Assuming that life span in Honolulu is approximately normally distributed does this information indicate that the population mean life span for Honolulu residents is less than 74 years Use a 5 level of significance 1 What is the level of significance 0 05 27 State the null and alternate hypotheses in years Enter for as needed Ho 74 H X ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and is unknown We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places iii Estimate the P value P value 0 250 0 100 P value 0 250 0 050 P value 0 100 0 010 P value 0 050 P value 0 010

The Student s t distribution table gives critical values for the Student s t distribution Use an appropriate d f as the row header For a right tailed test the column header is the value of a found in the one tail area row For a left tailed test the column header is the value of a found in the one tail area row but you must change the sign of the critical value t to t For a two tailed test the column header is the value of a from the two tail area row The critical values are the it values shown Pyramid Lake is on the Paiute Indian Reservation in Nevada The lake is famous for cutthroat trout Suppose a friend tells you that the average length of trout caught in Pyramid Lake is 18 9 inches However a survey reported that of a random sample of 46 fish caught the mean length was X 18 3 inches with estimated standard deviation s 2 8 inches Do these data indicate that the average length of a trout caught in Pyramid Lake is less than 18 9 inches Use a 0 05 Solve the problem using the critical region method of testing i e traditional method LAUSE SALT State the null and alternative hypotheses in inches Enter for as needed Ho 18 9 H 18 9 x Calculate the appropriate test statistic Round your answer to two decimal places State the critical region s Round your answers to three decimal places If the test is one tailed enter NONE for the unused region test statistic

Unfortunately arsenic occurs naturally in some ground water A mean arsenic level of 8 0 parts per billion ppb is considered safe for agricultural use A well in Texas is used to water cotton crops This well is tested on a regular basis for arsenic A random sample of 41 tests gave a sample mean of x 7 1 ppb arsenic with s 2 2 ppb Does this information indicate that the mean level of arsenic in this well is less than 8 ppb Use 0 01 LUSE SALT a What is the level of significance 0 01 State the null and alternate hypotheses in parts per billion Enter for as needed Ho 8 H 8 b What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since the sample size is large and is known We ll use the Student s t since the sample size is large and o is unknown We ll use the standard normal since the sample size is large and is unknown We ll use the Student s t since the sample size is large and o is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places c Estimate the P value P value 0 100 0 050 P value 0 100 0 010 P value 0 050 0 005 P value 0 010 P value 0 005

A A survey was given to 25 students and the number of siblings was tallied in the class find che mean median and mode of the data set that was collected 2 1 2 5 6 2 1 3 1 1 0 2 5 8 1 2 2 4 3 0 2 3 4 4 1

2 Using intervals of numbers The winning Super Bowl scores from 1983 to 2002 are listed in the table Make a frequency table of the data Step 1 Draw a table Label three columns Tally Frequency Cumulative Frequency Step 2 Complete the table using the data Scores 20 28 29 37 38 46 47 55 Winning Scores 20 34 23 34 31 35 27 49 30 52 37 20 55 20 42 39 46 38 38 27 How to Make a Histogram Example Use the date from Example 2 Super Bowl scores to create a histogram Step 1 Draw and label the axes Remember the x axis will be intervals Step 2 Draw a bar to represent the frequency of each interval

The solution of 15 x 1 is Select one O A 4 or 6 OB 2 or 1 00 C 4 6 OD 4 6

2 On Tanya s phone bill 60 out of the 75 long distance calls were in state of the in state calls were to her parents What fraction of all of her long distance calls were to her parents How many calls were to her parents What fraction of all of her long distance calls were to her parents 8 15 Simplify your answer Type an integer or a fraction How many calls were to her parents Simplify your answer Type an integer or a fraction www of her long distance calls

5 7 49 OA Multiply the first numerator by the second denominator to get the new numerator and multiply the second numerator by the first denominator to get the new denominator B Add the numerators to get the new numerator and add the denominators to get the new denominator C Multiply the numerators to get the new numerator and multiply the denominators to get the new denominato OD Multiply the first numerator by the second denominator and multiply the second numerator by the first denominator and then find the sum of these two products Set up the multiplication 5 7 5 7 49 4

1 Question 20 of 26 1 point I Question Attempt 1 of Unlimited Use the graph of y g x to graph the given function TO 1 y g x y g x 3 2 34 V

Is the nal cri rate really going dow sociologists say yes They say that the reason for the rates the 1980s and 1990s is demographics It seems that the population is aging and older people commit fewer crimes According t the FBI and the Justice Department 70 of all arrests are of males aged 15 to 34 years Suppose you are a sociologist in Rock Springs Wyoming and a random sample of police files showed that of 36 arrests last month 22 were of males aged 15 to 34 ye Use a 1 level of significance to test the claim that the population proportion of such arrests is the city different from 70 Solv the problem using the critical region method of testing Since the sampling distribution of p is the normal distribution you can u critical values from the table below Hypothesis Testing Critical Values z Level of Significance Critical value z for a left tailed test Critical value z for a right tailed test Critical value z for a two tailed test H USE SALT a 0 05 a 0 01 1 645 1 645 1 96 2 33 State the null and alternative hypotheses Enter for as needed Ho p 0 70 2 33 2 58

Fruse in used to assess the similarity among passages of text and sometimes the identity of authors The following information is based on an article by D Wishart and S V Leach appearing in Computer Studies of the Humanities and Verbal Behavior Vol 3 pp 90 99 Syllables were categorized as long or short On analyzing Plato s Republic Wishart and Leach found that about 26 1 of the five syllable sequences are of the type in which two are short and three are long Suppose that Greek archaeologists have found an ancient manuscript dating back to Plato s time about 427 347 B C A random sample of 314 five syllable sequences from the newly discovered manuscript showed that 61 are of the type two short and three long Do the data indicate that the population proportion of this type of five syllable sequence is different either way from the text of Plato s Republic Use a 0 01 LAUSE SALT a What is the level of significance 0 01 State the null and alternate hypotheses Enter for as needed Ho P 0 261 H b What sampling distribution will you use Do you think the sample size is sufficiently large Explain O We ll use the Student s t because the sample size is not sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is not sufficiently large since np 5 and nq 5 We ll use the standard normal because the sample size is sufficiently large since np 5 and nq 5 We ll use the Student s t because the sample size is sufficiently large since np 5 and ng 5 Use the value of the sample test statistic to find the corresponding z value Round your answer to two decimal places X c Find the P value of the test statistic Round your answer to four decimal places P value x 3 Sketch the sampling distribution and show the area corresponding to the P value 2 1 3 2 1 P value 0 Sylldvic P value 0 1 1 2 2 3 3 A graph has a horizontal axis with values from 3 5 to 3 5 The curve enters the window from the left just above the horizontal axis goes up and to the right changes direction over approximately 0 on the horizontal axis and then goes down and to the right before exiting the window just above the horizontal axis The area under the curve to the left of 2 7 labeled P value as well as the area under the curve to the right of 2 7 labeled P value are both shaded 3 2 1 0 1 2 3

Is there a relationship between confidence intervals and two tailed hypothesis tests Let c be the level of confidence used to construct a confidence interval from sample data Let a be the level of significance for a two tailed hypothesis test The following statement applies to hypothesis tests of the mean A corresponding relationship between confidence intervals and two tailed hypothesis tests also is valid for other parameters such as p or P P which we will study later Whenever the value of k given in the null hypothesis falls outside the c 1 a confidence interval for the parameter we reject Ho For example consider a two tailed hypothesis test with a 0 01 and Ho 20 H 20 A random sample of size 33 has a sample mean x 23 from a population with standard deviation 6 a What is the value of c 1 a 0 99 For a two tailed hypothesis test with level of significance a and null hypothesis Ho H k we reject Ho whenever k falls outside the c 1 a confidence interval for based on the sample data When k falls within the c 1 a confidence interval we do not reject Ho Construct a 1 x confidence interval for from the sample data Enter your answer in the form lower limit to upper limit Include the word to Round your numerical answers to two decimal places 20 31 25 69 What is the value of a given in the null hypothesis i e what is k k 20 Is this value in the confidence interval Yes No OO Do we reject or fail to reject H based on this information We fail to reject the null hypothesis since 20 is not contained in this interval We fail to reject the null hypothesis since 20 is contained in this interval We reject the null hypothesis since 20 is not contained in this interval We reject the null hypothesis since 20 is contained in this interval OO 6 Ucing methods of this chanter find the value for the hypothecis test Bound your SOCIOE to four decimal places

In the figure shown below lines a and b are parallel and line c is a What is the value of x A 6 B 9 C 12 D 18 O A OB 13x 6 11x 30 C E

7 Two points are plotted on a coordinate plane Point A is plotted at 11 8 and point B is plotted at 2 4 What is the distance in units from point A to point B A 13 B 15 1 poi C 145 D 185

7 0 23 46 Which of the following is not required to determine the best timing strategy Multiple Choice O O O O O The taxpayer s after tax rate of return The taxpayer s tax rate this year The taxpayer s tax rate in future years The taxpayer s tax rate last year None of the choices are correct

Jamison s gross tax liability is 8 950 Jamison had 2 410 of available credits and he had 5 450 of taxes withheld by his employer What are Jamison s taxes due or taxes refunded with his tax return Multiple Choice 1 090 taxes due 6 540 taxes due 3 500 taxes due 1 090 tax refund B

Let x be a random variable that represents hemoglobin count HC in grams per 100 milliliters of whole blood Then x has a distribution that is approximately normal with population mean of about 14 for healthy adult women Suppose that a female patient has taken 10 laboratory blood tests during the past year The HC data sent to the patient s doctor are as follows 14 17 16 19 14 12 15 16 15 12 S LUSE SALT a Use a calculator with sample mean and standard deviation keys to find x and s in grams per 100 ml Round your standard deviation to four decimal places x 15 g 100 ml x 9 100 ml b Does this information indicate that the population average HC for this patient is higher than 14 Use a 0 01 1 What is the level of significance 0 01 State the null and alternate hypotheses in grams per 100 ml Enter for as needed Hoi A 14 H 14 ii What sampling distribution will you use Explain the rationale for your choice of sampling distribution We ll use the standard normal since we assume that x has a normal distribution and a is known We ll use the standard normal since we assume that x has a normal distribution and a is unknown We ll use the Student s t since we assume that x has a normal distribution and is unknown We ll use the Student s t since we assume that x has a normal distribution and a is known Compute the appropriate sampling distribution value of the sample test statistic Round your answer to two decimal places

Use an annual growth rate of 0 9 in a 20 year period for a certain population to find the approximate doubling time and then predict the population in 2050 based on a 2000 population of 3 0 billion What is the approximate doubling time 78 years Round to the nearest whole number as needed What will be the approximate population in 2050 billion Round to the nearest tenth as needed

A nonprofit consumer organization stated that the average time for a particular car to go from 0 to 60 miles per hour was 8 6 seconds a If you want to set up a statistical test to challenge the claim of 8 6 seconds what would you use for the null hypothesis in seconds Enter for as needed Ho 8 6 b The town of Leadville Colorado has an elevation over 10 000 feet Suppose you wanted to test the claim that the average time to accelerate from 0 to 60 miles per hour is longer in Leadville because of less oxygen What would you use for the alternate hypothesis in seconds Enter for as needed Enter inequalities using less than greater than less than or equal or greater than or equal 2 c Suppose you made an engine modification and you think the average time to accelerate from 0 to 60 miles per hour is reduced What would you use for the alternate hypothesis in seconds Enter for as needed H Enter inequalities using less than greater than less than or equal or greater than or equal 2

Let u 1 2 3 v 2 2 1 and w Z E 4 0 4 Find z where 2u v w 3z 0

Solve for w where u 1 1 1 0 and v 0 2 1 3 2w u5v W

Write v as a linear combination of u and w if possible where u 3 2 and w 3 1 Enter your answer in terms of u and w If not possible enter IMPOSSIBLE V 6 1 V

As a surveyor you are responsible for subdividing regular and irregular shaped lots into areas of equal size Your services have been requested by a family that needs to divide a trapezoidal lot Here are the details of your task The lot has bases measuring 60m and 35m The perpendicular depth of the lot is 110m The lot is to be subdivided into two equal lots by a line parallel to the bases Given this information find the distance from the 60m base to the line parallel to both bases 1 Draw an accurate representation of the information provided included all the 3 points given measurements and any variables you need In the space below show all work used to solve the problem 7 points