College Math - Others Questions

1 Find cos 105

9 A 10m ladder leans against a vertical wall at an angle of 63 Find the height the ladder reaches up the wall Draw and label a sketch to represent this situation

5 Playing a game with a pair of dice you win 10 if you roll a 2 or a 6 and you pay 2 if you roll anything else Initially you pay nothing to roll the dice Expected Value Is this a fair game

2 Find sin 75

4 Playing a game with a pair of dice you win 5 if you roll a 7 or an 11 and you pay 2 if you roll anything else Initially you pay nothing to roll the dice What is the expected value of this game Expected Value S

1 3 Playing a game with a pair of dice you win 2 if you roll a 7 or an 11 You pay 5 to roll the dice each time What is the expected value of this game

There is a game with bottles set up at a carnival There are a total of 15 colored bottles with either the word WIN or the word LOSE printed on the bottom 4 bottles are marked WIN and 11 bottles are marked LOSE The ticket cost for this game is 2 The rule is that the person places a ring around there selected bottle If the bottle has the word WIN on the bottom the player wins 8 What is the expected payoff for a player

Subtract 6 06 2 0054

Find a function of the form y A sin kx C or y A cos kx C whose graph matches the functio shown below 8 6 2 1 3 2 1 2 3 Leave your answer in exact form if necessary type pi for y

5 4 3 1 4 The curve above is the graph of a sinusoidal function It goes through the points 5 0 and 1 0 Find a sinusoidal function that matches the given graph If needed you can enter 3 1416 as pi in your answer otherwise use at least 3 decimal digits f x

13 A A radio tower is located 400 feet from a building From a window in the building a person determines that the angle of elevation to the top of the tower is 36 and that the angle of depression to the bottom of the tower is 23 How tall is the tower B There is lightning rod on the top of a building From a location 500 feet from the base of the building the angle of elevation to the top of the building is measured to be 36 From the same location the angle of elevation to the top of the lightning rod is measured to be 38 Find the height of the lightning rod C A 400 foot tall monument is located in the distance From a window in a building a person determines that the angle of elevation to the top of the monument is 18 and that the angle of depression to the bottom of the monument is 3 How far is the person from the monument

Macmillan Learning A student measured the lead content of a paint sample 5 times The standard deviation of the measure 0 73 of the average Calculate the confidence interval at the 90 confidence level 0 80 confidence interval Incorrect Can this student be 90 confident that the true value is within 0 80 of the measured average no yes

lest a claim about a population mean based on a sample Project Use a 0 05 level of significance to identify which automobile tire manufacturer should be awarded the New Jersey State Police tire contract The New Jersey State Police Department is interested in tires for its squad cars These tires must satisfy the specification that the average Mean life of the tire must be at least 80 000 miles and the standard deviation must be at most 250 miles 5 3217 Six different tire makers Tire Tire Tire Tire Tire and Tire sent the automaker several tires to be tested The identities of the tire manufacturers remain anonymous to guarantee a non prejudicial test The tires were placed on the drive wheels of various squad cars and driven until the tires were worn down The following data shows the mileage the tires traveled before they had to be replaced Data price miles Tire 178 99 79 920 80 100 79 800 79 600 Tire 182 95 79 900 80 100 80 200 79 950 79 975 80 000 Tire 186 99 79 950 80 250 79 975 80 300 79 990 80 150 80 225 79 900 Tire 192 99 78 600 79 700 79 650 80 750 Tire 196 95 77 480 80 300 76 480 76 790 78 990 80 061 Tire 204 99 79 125 81 250 78 975 81 200 80 990 81 000 80 225 80 600 As the consultant to the New Jersey State Police determine which tire manufacturer if any gets the contract Write a report type preferred stating your recommendation for the awarding of this lucrative contract Your report must contain the following points I Hypothesis testing Show all steps for each hypothesis test Use single sample hypothesis testing following the format

Find the line integral along the path C shown in the figure on the right x y dy The value of the line integral is Type an integer or a simplified fraction 0 0

Suppose f x has the following properties f is continuous and positive for all x 7 19 f is decreasing for all x 7 19 16 f x dx 135 f 7 must be more than

Suppose that f x is the sum of the Fourier series 3 2n f x sin nx 1 1 n sin x sin 2x sin 3x x Compute the integral 1 f x 1 sin 2x dx A 127 B 17 C 167 D 7 E 14 5 5

Consider the region bounded by the graph of y 3x 1 the x axis and the lines x 5 x 9 A reasonable upper bound for the area of this region is

Using the MACRS rates from the following table what is the book value of a 3 000 computer after 2 years Year MACRS Rate 1 20 0 2 32 0 3 19 2 4 11 52 5 11 52 6 5 76 Book Value

QUESTION This class has 30 students Each student is going to order a Tesla Model Y Please do not actually order a car this is just a hypothetical question For simplicity we will assume the following The price of each car is 60 000 before sales tax The deposit required while ordering is 12 000 Sales tax are 5 00 assessed when the car is delivered Final payment is due when car is delivered The following is a summary of the transactions that occurred April 7 all 30 students made their orders and paid the 12 000 required deposit April 24 Twenty 24 cars are delivered and the 24 students pay the total remaining balances April 29 the remaining 6 cars are delivered and the 6 students pay the total remaining balances REQUIRED Record proper journal entries for TESLA for the above three transactions Journal entries will be graded for proper format and completeness Please review chapter 2 if needed so you can record proper journal entries Hint It is easier to record the journal entries either on a word document or Excel or on a piece of paper and the upload your work When you upload your work ensure you embed the work so it automatically opens on the discussion window without requiring someone to click on it Alternatively create a well formatted table on Canvas like the one below Journal entries that are not properly formatted see chapter 2 will not be graded DESCRIPTION DATE Jan 5 Cash Equipment Capital Lerriuqs Owner invested in the business DEBIT CREDIT 40 000 120 000 160 000

Determine whether the sequence an arctan 9n2 converges or diverges If it converges find the limit Converges y n Limit if it exists blank otherwise

Determine whether the sequence is divergent or convergent If it is convergent find the limit If not state your answer as divergent an n 3 n 1

Gray Wolves Revisited The United States Fish and Wildlife Service regularly monitors trends in the population of endangered species By modeling changes in the population they can determine if intervention is necessary for the survival of certain species Your work in class examined the gray wolf a protected species that currently resides in Minnesota Wisconsin and Michigan 2 Populations in the three states are monitored regularly to determine if the populations are experiencing growth or decline The gray wolf population in Minnesota was 3 020 in 2004 and 2 278in 2016 3 2U S Fish and Wildlife Service 2020 Gray wolves Western Great Lakes states Retrieved from https www fws gov midwest wolf history index html 3U S Fish and Wildlife Service 2020 Gray wolves Western Great Lakes states Retrieved from https www fws gov midwest wolf population mi wi nos html Assume that the gray wolf population in Minnesota can be modeled using a linear function Part A Is the gray wolf population increasing or decreasing Make sure you can explain why decreasing there is not enough information to tell increasing Part B What is the rate of change of the wolf population per year Round your answer to the thousandths place Answer wolves per year Part C Write a formula for the linear model M t that predicts the gray wolf population in Minnesota t years after 2004

In the mid 1950s women made up only about one third of the enrollment at institutions of higher education By the 2000s approximately 57 of college students were women 1 We can write linear functions M t and F t which approximate the number of male and female students in higher education Here M t and F t are measured in thousands of students and t is the number of years after 1957 1 National Center for Education Statistics 2013 Retrieved and adapted from http nces ed gov programs digest d13 tables dt13 303 10 asp The following table provides the number of male students M t in higher education years after 1957 Use the table to answer the following questions t years after 1957 M t thousands of students 2 3377 3569 4 6 3761 Part A Calculate the growth rate of the male student population and give your answer using appropriate units Make sure you can explain in a complete sentence if this value indicates the population is growing or decreasing Answer thousand male students per year Part B Use your answer from Part A to estimate the number of male students in higher education in the year 1965

Maximize the function P 5x 2y subject to Y 5x 9y 9x 5y ALALVIAI 0 0 45 45 What are the corner points of the feasible set The maximum value is None in the blanke provided if th and it occurs at T

A diet is to contain at least 969 units of carbohydrates 1348 units of proteins and 1222 calories Two foods are available F which costs 0 06 per unit and which costs 0 08 per unit A unit of food F contains 1 units of carbohydrates 2 units of proteins and 8 calories A unit of food Fy contains 9 units of carbohydrates 8 units of proteins and 2 calories Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements Corner points of the feasible region If there is more than one corner point type the points separated by a comma i e 1 2 3 4 Minimum cost is 5 when F and F units units

Troy Juth wants to purchase new dive equipment for Underwater Connection his retail store in Colorado Springs He was offered a 81 000 loan at 7 5 for 36 months What is his monthly payment by table lookup Use Table 14 2 Note Round your answer to the nearest cent Monthly payment

First America Bank s monthly payment charge on a 48 month 20 000 loan is 538 26 The U S Bank s monthly payment fee is 547 70 for the same loan amount What would be the APR for an auto loan for each of these banks Use Table 14 1 Note Round your final answers to the nearest hundredth percent APR First America Bank between and U S Bank between and

If you are trying to build credit by using a credit card each time you make a purchase with the credit card deduct that amount from your checking account That way when your credit card bill is due you will have enough to pay the credit card off in full Kathy Lehner is going to start doing this She plans on paying her credit card bill in full this month How much does she owe with a 9 APR and the following transactions Note Round your answer to the nearest cent 31 day billing cycle 10 1 10 3 Previous balance 1 175 Credit 68 Credit 10 12 Charge King Soopers 159 10 15 Payment 420 Credit 10 25 Charge Delta 332 10 30 Charge Holiday Fun 72

Before purchasing a used car Cody Lind checked www kbb com to learn what he should offer for the used car he wanted to buy Then he conducted a carfax com search on the car he found to see if the car had ever been in an accident The Carfax was clean so he purchased the used car for 14 300 He put 1 200 down and financed the rest with a 48 month 8 5 loan What is his monthly car payment by table lookup Use Table 14 2 Note Do not round intermediate calculations Round your answer to the nearest cent Monthly payment

Dallas Pierce s most recent credit card statement follows Her finance charge is 15 APR Calculate Dallas s average daily balance finance charge and new balance Note Round your final answers to the nearest cent 30 day billing cycle 9 2 9 7 Billing date 1 020 Previous balance Payment 160 Credit 9 13 Charge Kohl s 330 9 17 Payment 230 Credit 9 28 Charge WalMart 70 Average daily balance Finance charge New balance I

Complete the following table Purchase price of product Landcruiser Down payment Amount financed Number of monthly payments Amount of monthly payments Total of monthly payments Total finance charge 64 900 48 000 64 428

1 Design a multiple recursive generator Z a1Z 1 a2Zi 2 a3Z 3 mod m with m 8 192 Do not use a a2 a3 1 State the parameters for your generator

2 Suppose 1000 raffle tickets are sold at a price of 5 each Two first place tickets will be drawn with a prize worth 200 Five second place tickets will be drawn at a prize valued at 100 and ten third place tickets will be drawn at prize valued at 50 Find the expected value of the net gain to the consumer Note In this example X represents the net gain You have to be careful because this is a game you pay to play In other words if you win first prize you do not gain 200 you gain 195 because you paid for a ticket

A diet is to contain at least 969 units of carbohydrates 1348 units of proteins and 1222 calories Two foods are available F which costs 0 06 per unit and F which costs 0 08 per unit A unit of food F contains 1 units of carbohydrates 2 units of proteins and 8 calories A unit of food F contains 9 units of carbohydrates 8 units of proteins and 2 calories Find the minimum cost for a diet that consists of a mixture of these two foods and also meets the minimal nutrition requirements Corner points of the feasible region If there is more than one corner point type the points separated by a comma i e 1 2 3 4 Minimum cost is when F and F units units

Blink Appliances plans to order microwaves and stoves Each microwave requires 2 hours to unpack and set up in the storeroom and each stove requires 4 hours The storeroom space is limited to 64 items The budget of the store allows only 236 hours of employee time for unpacking and setup Microwaves yields a profit of 137 each and stoves yields a profit of 180 each How many of each should the store order to maximize profit Number of microwaves to order is Number of stoves to order is

A couple wants to invest up to 20000 They can purchase a type A bond yielding 11 return and a type B bond yielding a 12 5 return on the amount invested They also want to invest at least as much in the type A bond as in the type B bond They will also invest at least 10000 in type A and no more than 15000 in type B bond How much should they invest in each type of bond to maximize their return Let a be the amount invested in type A bond and y the amount invested in type B bond a Write the objective function to be maximized P b The feasible region has 3 corner points List the three points Corner points c Determine the amount to be invested in each bond to maximize the return and determine the maximum return Amount to be invested in type A bonds Amount to be invested in type B bonds Maximum return is

Find the Expected Value from the table Outcome Value 400 800 Probability 417 317

1 i Z exp 1 i logz z 0 0 arg z 2 eie 0 0 27 I the indicated power function and C is the unit circle z Ans i 1 e 2

The points 13 1 and 5 8 lie on a line with slope 1 3 4 Find the missing coordinate

h Given the equation y 6 set up an integral to find the length of path from za to z b and enter the integrand below i e if your integral is L dz enter as your answer rb L Sa 6 dr 49

To save for a new car Trafton invested 7 000 in a savings account that earns 2 5 interest compounded continuously After four years he wants to buy a used car for 8 000 How much money will he need to pay in addition to what is in his savings account Round your answer to the nearest cent Tutorial

A factory received a shipment of 24 bolts and the vendor who sold the items knows there are 7 bolts in the shipment that are defective Before the receiving foreman accepts the delivery he samples the shipment and if too many of the bolts in the sample are defective he will refuse the shipment For each of the following give your responses as reduced fractions If a sample of 7 bolts is selected find the probability that all in the sample are defective If a sample of 7 bolts is selected find the probability that none in the sample are defective

Assume the 12 000 Treasury bill 6 for 13 weeks Calculate the effective rate of interest Note Use calendar year Round your answer to the nearest hundredth percent Effective rate of interest

There are some excellent free personal finance apps available Mint com Good Budget Mvelopes BillGuard PocketExpense HomeBudget and Expensify After using Mint com you realize you need to pay off one of your high interest loans to reduce your interest expense You decide to discount a 6 250 340 day note at 3 to your bank at a discount rate of 4 0 on day 220 What ar your proceeds Note Round your final answer to the nearest whole number Proceeds

Ron Prentice bought goods from Shelly Katz On Sept 12 Shelly gave Ron a time extension on his bill by accepting a 2 700 8 19 day note On Dec 16 Shelly discounted the note at Roseville Bank at 8 Use Days in a year table What proceeds does Shelly Katz receive Note Use 360 days a year Do not round intermediate calculations Round your answer to the nearest cent Proceeds received

On July 24 Sheffield Company discounted at Sunshine Bank a 7 650 maturity value 131 day note dated April 16 Sunshine s discount rate was 10 Use Days in a year table What proceeds did Sheffield Company receive Note Use 360 days a year Do not round intermediate calculations Proceeds received

Robinson s an electrical supply company sold 3 200 of equipment to Jim Coates Wiring Incorporated Coates signed a promissory note May 12 with 3 2 interest The due date was August 10 Short of funds Robinson s contacted Capital One Bank on July 20 the bank agreed to take over the note at a 4 9 discount Use Days in a year table What proceeds will Robinson s receive Note Use 360 days a year Do not round intermediate calculations Round your final answer to the nearest cent Proceeds received

Solve for maturity value discount period bank discount and proceeds Assume a bank discount rate of 9 Use the ordinary interest method Use Days in a year table Note Do not round intermediate calculations Round your final answers to the nearest cent Face value principal 50 500 Rate of interest Length of note Maturity value 13 90 days Date of note September 18 Date note discounted October 9 Discount period days Bank discount Proceeds

es Paul and Sandy Moede signed an 8 220 note at Citizen s Bank Citizen s charges a 4 5 discount rate Assume the loan is for 320 days a Find the proceeds Note Use 360 days a year Round your intermediate calculations and final answer to the nearest cent Proceeds b Find the effective rate charged by the bank Note Use 360 days a year Do not round intermediate calculations Round your answer to the nearest tenth percent

Use what you have learned about the local and end behavior of polynomials to graph the function below 2x x 7 x 4 Drag the points to the z intercepts of the function Then use the sliders to select the appropriate behavior at each zero