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  5. march 2023
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Mathematics Questions and Answers March 16, 2023

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You borrow $5,000 from your parents to purchase a used car. The arrangements of the loan are such that you make payments of $250 per month toward the balance plus 1% interest on the unpaid balance from the previous month. (a) Find the first year's monthly payments and the unpaid balance after each month. (b) Find the total amount of interest paid

The King Concrete Company manufactures bags of concrete mix from beach sand and river sand. Each pound of beach sand costs 5 cents and contains 4 units of ne sand, 3 units of coarse sand and 5 units of gravel. Each pound of river sand costs 10 cents and contains 3 units of ne sand, 6 units of coarse sand, and 12 units of gravel. Each bag of
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23. Points (5, 3) and (1, 9) are endpoints of the diameter of a circle. (a) What is the length of the diameter? Give the exact answer, simplified as much as possible. Show work. ('0) What is the center point C of the circle? (c) Given the point C you found in part (b), state the point symmetric to C about the y-axis
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Solve the system of linear equations 3x-y+4z=8 -4x-3y-z=2 x-2y+3z=y If there are an infinite number of solutions, enter IS in each answer field. If there are no solutions, enter NS in each answer field. x= y= z=

For the given functions f and g , find the indicated composition. f(x) = 14x2 - 10x, g(x) = 7x - 8 (fg)(9)

Please help with the question below: 5.A college offers 5 introductory courses in history, 2 in science, 3 in philosophy, 2 in mathematics, and 4 in English.If a freshman takes one course in each area during her first semester, how many course selections are possible?

8.The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. Use a graphing calculator or software (do not calculate by hand and do not show work) to determine the correlation coefficient?Does this indicate a good fit - why or why not?(Do not need to show work. Don't forget

At the beginning of a population study, a city had240,000 people. Each year since, the population has grown by4.9 % .Let t be the number of years since start of the study. Let y be the city's population.write exponential function showing the relationship between y and t .

Use your knowledge of roots and polynomial functions to explain the number of changes in direction for the function, P(x)=(x-4)(x-1)^2(x+2)^3

The wait times at a local gas station follow a uniform distribution varying evenly from 0 to 300 seconds. What is the probability that you would have to wait between 30 and 60 seconds? a) 10% b) 20% c) 30% d) 25%

Which of the following statement is NOT correct about the equation y=5 a. The graph of the equation has no x-intercept b. The graph of the equation is parallel to x-axis c. The graph has a y-intercept at(0,5) d. The graph of the equation has no y-intercept

In which quadrant does the point (- 10, 3) lie? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV

1 8. A particle with positive charge Q is xed in position. A second particle, of mass m and charge q = (2/24, is placed at Point Y and released from rest. Calculate the speed of this second particle as it passes through Point X. X 9 Y Q ----- 040-0 A Q /i ' 4d " '2d 4 7nd Q/i B 3 7nd we a as
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Math 201 A particular dam contains approximately 1,800,000,000,000 cubic feet of water. For aweek-long spikeflood, water was released at a rate of 24,600 cubic feet per second. a. How much water was released during theflood? b. What percentage of the dam was released during theflood?

7. The third factor we will look at that inuences strength of evidence against the null hypothesis is the sample size. As we said earlier, the data for this study came from four combat sports in the 2004 Olympics. One of those sports was boxing. The researchers found that out of the 272 boxing matches, 150 of them were won by competitors wearing
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How can I solve this question? I am very confusion about this question Forget about face recognition, James. The latest SPECTRE internet password requires you to combine functions in the innite dimensional vector space of functions to obtain a \"O-key" to crack into their evil web-portal. The pass key app here shows the functions ex .e'x, cosh x,
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Consider the function f(x) = x^3 for x and 0 < x < 4. Prove that limx2 f(x) = 8 Please explain in great detail so I can fully understand this. Please add as much info as possible. Thank you.

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Consider the function f(x) = x 2 for 0 x 10. Prove that lim x5 f(x) = 25. Note that proofs of limits involve the epsilon / delta (or / ) method. Hint: What is the maximum value of x + 5 on the interval [0, 10]? Show all work please. Thanks.

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Let A = {0,1,2,3} . Define the relation R = {(0,0),(0,1),(1,2),(1,3),(2,3),(3,3)}. Which of the following is true? A.(0,0)RR,(0,1)RR,(0,2)RR et(0,3)RR B. (0, 0) R R, (0, 1) R R, (0, 2) R R et (0, 3) R R C. (0, 0) R R, (0, 1) R R, (0, 2) R R et (0, 3) R R D. (0, 0) R R, (0, 1) R R, (0, 2) R R et (0, 3) R R E. (0, 0) R R, (0, 1) R R, (0, 2) R R et

Use the formula to find the value of the remaining variable: P=2L+2W; L=92 w=126 p=

A patrolman gives a driver a speeding ticket if the driver's speed is greater than 15% over the speed limit. If the speed limit is 40 miles per hour what is the highest speed that a diver can go without receiving a ticket

Central Limit Theorem (CLT) is: The theoretical basis for this approach happens when its conditions are met. This theorem provides powerful ways of answering a variety of statistical questions. Suppose there are 30 students in a class and each draws an independent sample of n=100 observations from the same normally distributed population with a

finding second order taylor polynomial for the function. 1. (5 points) Let f : 1RZ > R be the function dened for any (50,31) in R\" by 2 f (to, y) = 6'\" 0080;)- Find the second order Taylor polynomial of f at (0, 0)
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Find the quotient of each of the following. State non permissible values. A.(6x^3y/4xy)(-9x^2/20x^2y^3) B.2x/6x+6x+4/3+3x C.9-x^2/8xx-3/8x D.x(x+4)/x+16x^2+24x/2

4.3.4 Practice: Modeling: Stretching and Compressing Functions Practice Algebra 1B Sem 2 Points Possible: 20 Name: Date: 11/15/2018 YOUR ASSIGNMENT: Desert Temperatures In this assignment, you may work with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher. Temperature in the desert

A businessperson took a small airplane for a quick flight up the coast for a lunch meeting and then returned home. The plane flew a total of4 hours, and each way the trip was200 miles. What was the speed of the wind that affected the plane, which was flying at a speed of120mph ? Round your answer to the nearest whole number.

Please help me by answering the following questions it is for a final exam and it is very crucial. Review Tes| Submission: Post "51* mczioscmasmom inns/mi 3:35 pm Review Test Submission Post iesi e MAC21056172091410I8 ions/us, me m ue ti n4 Q s o 0 out ofs points Given the following linear equations: . Question 10 5 out ofs points 2x+3y=10 Write
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Your answer is partially correct. Prepare the cash receipts budget for the second quarter. (Enter answers in necessary elds only. Leave other elds blank. Do not enter 0.) Cash Receipts Budget $ $ $ February sales 40200 0 March sales 5449: 363320 April sales 694860 463240 May sales 753600 $ $ $ Totals 94698 105818 121684 0 0 0 Accounts Receivable
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4. Refer to the original data. The company's advertising agency thinks that a new package would help sales. The new package being proposed would increase packaging costs by $0.5 per unit. Assuming no other changes, how many units would have to be sold each month to eam a profit of $2.250? {Do not round intermediate calculations.)
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you Have 10 liters of a juice blend that is 60% juice. how many liters of pure juice need to be added in order to make a blend that is 75% juice? 90% juice? Suppose you have added 15 liters of juice to the original 10 liters. What is the percentage of juice in this blend?

Name: College ID: Thomas Edison State College Calculus II (MAT-232) Section no.: Semester and year: Written Assignment 2 Answer all assigned exercises, and show all work. Each exercise is worth 4 points. Section 6.2 4. Evaluate the integral. x ln x dx 6. Evaluate the integral. ln x dx x 18. Evaluate the integral. 2 x sin x dx 22. Evaluate the

You are finding the area of a circle with a radius of 2 feet. Is the area a rational number or irrational number? Explain.

watch the film PI and answer these question the director repeats the same sequence even though the hallucinations are different . Does the pattern, which gave the viewer a sense of familiarity with the attacks, work well , or since each attack is unique, would it be better to make each scene different ?

A supplier of home insulation materials, reported the following financial data at the fiscal year's end: Sales = $45,894,677 Cost of Goods Sold = $28,018,476 Average Inventory = $2,540,123 What was the inventory turns for this home insulation supplier for this fiscal year? ( Choose the answer closest to the correct answer. ) Select one: a. 11.0 b.

Find the partial fraction decomposition for the rational expression. 13x+83 =???? x 2 +12x+35

7. For parts, a), b) and c) assume that two fair dice are rolled. a) What is the probability of getting a 5? b) What is the probability of the sum being odd? c) What is the probability of the sum being 6, given that one die was a 2? d) Six microprocessors are randomly selected from a lot of 100, 10 of which are defective. What is the probability

A salesperson earns a base salary of $1,800 per month and a commission of 5.6% on the amount of sales made. If the salesperson has a paycheck of $4,857.60 for one month, what was the amount of sales for the month? Show work.

Use Microsoft Word to write a mgerial report with your name shown on the first page. The report should include your Excel output from Regression (copy and paste it), so do not attach any separate Excel le
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I need help with this problem. Evaluate the given expression. C (9,4)

18. The probability of getting heads on a coin is Hz or 50%. The probability of selecting a Jack from a deck of cards is ms or approximately 3%. Suppose you decide to test the above probabilities by conducting a coin- tlipping experiment and a card-selection experiment. The card-selection experiment would likely require many more trials than the
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A swimming pool is in the shape of a right triangle. One leg has a length of 10 feet and one leg has a length of 15 feet. Estimate the length of the hypotenuse to the nearest integer.

Help for answers of the questions below: Question 1: (CO 1) A data set that includes the number of products that were produced within each hour by a company would be classified as what type of data? Interval Ratio Nominal Ordinal Question 2: (CO 1) What type of data collection might be best to estimate the impact of exercise on longevity?
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For each graph, is the graph symmetric with respect to the x -axis? y -axis? origin?(No explanation required. Just answer Y es or N o to each question.) Symmetric with respect to the x -axis? ____ y -axis? ____ origin? ____ \f\f
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Hello. I am having a hard time with a few questions, math questions (for a Business Math Class). The question is: "A 14% discount on a dryer that Gell-Mann purchased, amounted to $70.00. Calculate thenet price". My calculations were Net price x = 70 x 100/14 = $500. The TA for my course said that this is NOT the correct answer and advised me that

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There are 7 women running in a race. How many different ways couldfirst, second, and third place finishersoccur? Round the answer to the nearest whole number.

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12. Each semester, the students in the college of business at State University must have their course schedules approved by the college adviser: The students line up in the hallway.T outside the adviser's ofce. The students arrive at the ofce according to the following probabitv distribution: Iinie BetweenArIivals tmin.} Probability?r .213 .312]
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Name: College ID: Thomas Edison State College Calculus I (MAT-231) Section no.: Semester and year: Written Assignment 3 Answer all assigned exercises, and show all work. Each exercise is worth 4 points. 1. Use Definition 1.1 (See Section 2.1) to find an equation of the tangent line to y = f ( x) at x =a . Graph y = f ( x) and the tangent line to

Which situation would be represented by the integer 12? A bird dove 12 feet to catch a fish. Mike jumped 12 feet in the air on the trampoline. The temperature outside is 12 degrees. You paid Julian $12.

There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a car costs $4. A total of $280 was spent on the toys. Now suppose the weight of a ball, doll, and car are 11, 15, and 16 oz, respectively. If the total weight is still 1354 oz, how many solutions are there?

In triangle LMN, LM=18.8 and MN =6.4. Find the range of possible measures for LN LN 6.4 0 11.8 In the figure on the bottom, line EG ? to line CG, m \f\f
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A lily pad grows so that each day it doubles its size. On the twentieth day of its life, it completely covers a pond. On what day was the pond half covered?

5 x 2 + 9X - 72 = 0 x = simplify the answer use comma to separate answers as needed

c. Using the graph above, suppose that the amounts of cholesterol in one-pound samples of 80%-lean ground beef are normally distributed with mean 322mg and the standard deviation that you found in part b. Using the empirical rule, what percent of 80%-lean ground beef are found to have cholesterol levels between 336mg and 364mg
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Part 3* *What percentage [If the senres is between 56 and 62'? m Q3: What is the 3:323: that curresponds tn the raw scare at 56'?r Q4: What is the aseere that eurrespunds tn the raw seere at 62"? Q5: What wing; at\" the senres is between 56 and 62'? Part C:* *A raw seere nf 4'? is assneiated with what pereentile? Fi-\"E Q6: What is the am
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Please help draw in the section views in the appropriate spaces. \f
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Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 18 gallons of fuel, the airplane weighs 2217 pounds. When carrying 48 gallons of fuel, it weighs 2412 pounds. How much does the airplane weigh if it is carrying 56 gallons of fuel?

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22 . Let f ( ) = 4 - x and 8 ( 20 ) = Vo - 3 ( 2 ) Find ( (12) Show work WAR ( b ) Find the domain of the quotient function Explain
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29) The fuel efficiency F for a particular car is given by F(x) = -0.018x x + 1.548 x + 6.8 where x is the speed of the car in miles per hour (mph) and F (x) is the corresponding fuel efficiency in miles per gallon (mpg) A. What id the fuel efficiency if the cars speed is 60 mph? b. What speed will yield the maximum fuel efficiency

I need someone to look over my work and see if I did it correctly... Problem: CONSUMER CREDIT For big purchases, many stores offer a deferred billing option (buy now, pay later) that allows shoppers to buy things now without paying the bill at checkout. 1.Assume you bought new appliances for your newly renovated home. Using the table range values

8 . ) Write an equation for a function that has a graph that has the shape of y = x 2 Is reflected across the X - axis . This graph is then vertically stretched by a factor of 3 . 8 . Finally , the graph Is shifted 4 units downward . ( There is no work to show here , just write the equation . )
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A nuclear reactor facility has We separate safety systems in place to
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Please help solving this question. It is for business mathematics 5. Ballard Jewellers received an invoice dated August 22 from Safeguard Security Systems for $2856.57 with terms 21/2/ 10, 1/20, n/45. Ballard made payments of $900 on September 1, $850 on September 10, and $700 on September 30. What amount was still owed on October 1
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Suppose the following are the seasonal indices for the first three quarters of the year for a quarterly series: Quarter Seasonal Index Q1 71.8 Q2 85 Q3 107.6 Remember that the seasonal indices should average 100 so you should be able to infer the seasonal index for Q4. Furthermore, suppose that the estimated coeffcients from a regression of the

If a line has a slope of 1/3 and passes through the point (3, -1) how can I find the coordinates of the y- intercept (by solving for b?) ?? Please show work

Assume (, U , P) is a probability space with a Brownian motion (W (t), t 0). Let n(:c, t) := ]E[e"{T'*](S\""(T) K)+] where S'-'(T) = 9:30"\"2)':T"3+\"Wm'w[m. This function represents the value of a. European call option in the Black-Scholes model. From a previous HW exercise, we also have 11.01:, t) = mN(d+(:t, ) Ke"iT't3N(d_(:n, t)) This is known
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Q36. A fraction that shows what portion of the total finance charge has not been paid at the time a loan is paid off is called the: a. refund fraction b. constant ratio c. pay-off ratio d. finance rebate

1. Consider three high strength metallic alloys which are proposed for fabrication of support beams in a space shuttle launch station with following mechanical properties: Alloy Yield Stress (MPa) Alloy steel (ASTM A514F Grade) 780 Titanium allo (Ti-6A1-4V) Nickel A110 (IN-792) 1060 a. Assuming the safety factor of 2 for yield stress, calculate
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Find thepoint(s) on the graph of y=(x^2+8x-8)/x where the slope is 6

Describe how could a person use confidence intervals to help make a decision in their current job, a past job, or life situation.Include a description of the decision, how the interval would impact the decision, and how data could ideally be collected to determine the interval.

Define a function h on [1, 2] by h(x) = 1/2 (e^x^2 + e^(2x^2) ). Find the absolute maximum and minimum values attained by hon [-1,2]?

Find the maximum or minimum value of the functionf(x)= 2x 2 -3x+8 The parabola's minimum or maximum value is, whenx=

F. I can conclude with 95% condence that the true mean time in system is less than . 0398 hrs. I dropped this one because the truncation technically changed the answer. Circle one: T F
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2.5 pumps QU EETH'JH lil- 1. lIl'ii'hich of the following would he an indication of a possible accounts receivable lapping scheme?' it" hinting several large cash disbursements. r Transfers between bank accounts near the year end date. it" ll'Jdnducting a surprise count of cash on hand and noting an average. r" Uncovering the fraudster's "second
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a; LJEHLB a SWLLBI pIUL DELWEBII LIIE L'IIIIUIBII 5 I V'WdLClllllg ume izllIU LllaL UI LIIEII Ull LII parents' TV-watching time. Format the plot into an APA-styled \"gure" (see week 1 video
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1 Select the Food Weight worksheet. Enter a formula in cell D7 that calculates the weight for one meal for one person. This will be the product of the standard meal weight in ounces (designated in cell K4), the one person on the trip (C7), and the one meal to plan (D6). Since the guides need the weight calculation to be in pounds, divide the
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An investor wants to analyze the earnings of a mutual fund account. Seven years ago, the value of the account was$23,000 and it is now worth$28,750 (no additional deposits were made). If the account is compared to a bank account paying interest that is compounded continuously, what interest rate would the bank account have to pay to match the

2. While running some quality control tests, a manager at a factory that makes potato chips noticed a difference in the mean bag weights for chips coming from two different production lines. He randomly selected 20 bags from Line A and found a mean weight of 309.63 grams and a standard deviation of 15.91 grams. He randomly selected 15 bags from
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If one leg of a right triangle is 11 feet and the hypotenuse is 61 feet. Then what would the length of the 3rd leg be ?

Write the equation of the line in slope-intercept form given the y-intercept and one other point. (2,1),(0,-9) the equation of tje the line is

A random sample of Is monthly rents for two - bedroom apartments was selected from a certain city . The mean of this sample is $636 . Assume the population standard deviation is $121 . A group of students think the mean rent for two-bedroom apartments is less than $650 . Test their claim with a significance level of a = 0.05 . Use this scenario to
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Using data If I have a sample size of 6 a sample average of 15.83 and a sample standard deviation If I am going to graph this on a bar chart what would be the height of the rectangle ? what would be the range of the error bar?

Please find the slope of the tangent line when x=3.8 when -5(x-4)^2+3 is the equation. If possible.

Suppose P ( A ) = 0.50, P ( B ) = 0.40, and P ( B|A ) = 0.30 Find P ( A|B ).

At the local conveniencestore, 4 bags of chips and 5 containers of dip cost $32. However, 3 bags of chips and 2 containers of dip cost $17. What is the cost of one bag of chips and one container ofdip?

Combine to evaluate: log2 96- log2 12 college algebra

An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d ( t ), in meters, the rock travels after t seconds can be modeled by the function d ( t ) = 0.8 t 2 . Find and interpret the average rate of change of d over the interval { t | 5 t 10} = [5, 10].

Divide the rational expressions. 4y-1/y 2 -4 divided by 1-4y/y+2.

b. Compute a 95% condence interval for the difference between the recall proportions for the two populations
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13-14. The Goodstone Tire Company produces a brand of tire called me Rainpath. The annual demand at its distribution center is 12,400 res per year. The transport and handling costs are $2600 each time a shipment of tires is ordered at the distribution center. The annual carrying cost is $3.?5 per tire. 3. Determine the optimal order quantity and
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6 . Assume a for profit company has $8 million of long-term debt with an interest rate of 6% . It has $3 million of preferred stock with a required dividend rate of 8 / and $4 million of common stock that is estimated to have a cost of capital of 10% What is its weighted average cost of capital
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Find all solutions real/complex of x^3 -2x^2 +5x-10 =0

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