College Math - Others Questions

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges 34 567 80 5 023 68 545 76 54 576 None of these

Tiffany purchased a 10 000 13 week Treasury bill that is paying 2 25 What is the effective rate on this T bill 2 2 2 7 2 26 2 0 None of these

With a mortgage of 48 000 for 15 years with a rate of 8 what are the total finance charges 34 567 80 5 023 68 545 76 54 576

On March 12 Bill Jones accepted a 12 000 note in granting a time extension of a bill for goods purchased by Ron Prentice Terms of the note were 13 for 90 days On April 24 Bill could no longer wait for the money and discounted the note at Able Bank at a discount rate of 14 The proceeds to Bill is O 12 047 90 12 163 54 12 390 00 12 048 90

The graph below shows a transformation of y 2 7 6 5 4 3 2 1 5 4 3 2 1 t 2 3 4 5 6 Write an equation of the form y a 2 c for the graph above f x

Stu Reese has a 150 000 7 5 mortgage His monthly payment is 1 010 10 His first payment will reduce the principal to an outstanding balance of 149 729 40 149 927 40 72 60 149 910 40

Given a mortgage of 48 000 for 15 years with a rate of 7 what are the total finance charges 29 659 20 5 023 68 545 76 54 576

The infinitely long region bounded by the graphs of y 0 x 0 and y e axis 6x is rotated around the x The volume of the resulting solid is

The graph shows a unit circle with point Pat O X P 13 13 Enter the exact values or DNE if the value is undefined Secant of XOP Cosecant of XOP Cotangent of ZXOP

Marsha Terban bought a home for 119 000 with a down payment of 19 000 Her rate of interest is 5 1 2 for 30 years The balance of the mortgage at the end of the first month is 3 33 98 944 99 669 76 99 890 54 None of these

Beverly Frost bought a home for 190 000 with a down payment of 19 000 at 7 for 25 years Since then the rate has risen to 8 How much more would her monthly payment be if she bought the house at 8 208 97 436 40 143 00 111 22 None of these

Dan Miller bought a new Toyota truck for 28 000 Dan made a down payment of 6 000 and paid 390 monthly for 70 months The total finance charge was 13 300 5 300 11 300 27 300 None of these

Ed Sloan bought a new Explorer for 22 000 He put down 7 000 and paid 290 for 60 months The total finance charge to Ed is 15 000 17 400 2 400 4 200 None of these

Graduated payments result in the borrower paying More at the beginning of the mortgage Less at the beginning of the mortgage Less at the end of the mortgage The mortgage at 1 2 the standard rate O None of these

A 7 000 4 120 day note dated March 20 is discounted on July 15 Assuming a 3 discount rate the bank discount is 1 74 1 77 7 11 17 68 None of these

Jill Corporation accepted a 16 000 note on Aug 12 Terms of the note were 13 for 100 days Jill discounted the note on September 28 at the Reno Bank at 14 The proceeds to Jill would be 341 69 16 236 09 303 00 16 277 78

Amanda Chin purchased a home for 296 000 she put 20 down with a mortgage rate of 6 for 30 years What is Amanda s monthly payment 1 776 1 402 1 240 80 1 419 74

Darlene Ramirez bought a home for 140 000 She put 20 down with a mortgage rate of 7 5 for 25 years Her yearly payments are 1 776 9 932 04 12 415 20

An amortization schedule shows Balance of interest outstanding The increase to principal Increase in loan outstanding Portion of payment broken down to interest and principal None of these

A simple discount note results in Lower interest costs than a simple interest note Same interest costs as a simple interest note Interest deducted when note is paid back Interest deducted in advance None of these

A 120 000 5 200 day note dated June 6 is discounted on October 8 The discount period is 124 days 76 days 142 days 67 days None of these

A variable rate mortgage means The interest rate is not fixed The interest rate is fixed for five years The rate is not subject to change Larger monthly payments than a fixed rate None of these

A 25 000 15 80 day note dated November 5 is discounted at National Bank on January 5 The discount period is 80 days 19 days 61 days 91 days None of these

Solve for t K 5 3 3 t for t 0

A credit card company claims that the mean credit card debt for individuals is greater than 4 900 You want to test this claim You find that a random sample of 37 cardholders has a mean credit card balance of 5 046 and a standa deviation of 650 At a 0 01 can you support the claim Complete parts a through e below Assume the population is normally distributed Use a comma to separate answers as needed Round to three decimal places as needed Determine the rejection region s Select the correct choice below and fill in the answer box es within your choice Round to three decimal places as needed OA t t and t U OC t 2 435 c Find the standardized test statistic t t 1 37 Round to two decimal places as needed d Decide whether to reject or fail to reject the null hypothesis OA Reject Ho because the test statistic is not in the rejection region OB Fail to reject Ho because the test statistic is not in the rejection region OC Fail to reject Ho because the test statistic is in the rejection region n Reject Ho because the test statistic is in the rejection region B

Cooper Corporation must evaluate two capital expenditure proposals Cooper s hurdle rate is 10 Data for the proposals follow Required investment Annual after tax cash inflows After tax cash inflows at the end of years 3 6 9 and 12 Life of project Proposal X Proposal Y 120 000 120 000 24 000 72 000 12 years 12 years What is the cash payback period for Proposal X For Proposal Y Hint For Proposal Y in what year 3 6 9 or 12 will the full original investment be recovered Round Proposal X answer to one decimal place if applicable Proposal X 0 years Proposal Y

Average Rate of Return Lakeland Company is considering the purchase of equipment for 175 000 The equipment will expand the Company s production and increase revenue by 40 000 per year Annual cash operating expenses will increase by 12 000 The equipment s useful life is 10 years with no salvage value Lakeland uses straight line depreciation The income tax rate is 25 What is the average rate of return on the investment Do not use negative signs with your answers Increase in revenue 0 Increase in expenses 0 Pretax income from investment 0 Income tax expense 0 Net income from investment 0 Round answer to the nearest whole percentage if applicable Average rate of return on investment

Keith needs 5040 for a future project He can invest 3000 now at an annual rate of 6 2 compounded semiannually Assuming that no withdrawals are made how long will it take for him to have enough money for his project Do not round any intermediate computations and round your answer to the nearest hundredth

when x 0 Exercise 4 5pt Decide if the following function is continuous 2x 3x when x 0 a f x 0 when 0 3x when x 0 b f x 0 when r 0 2x when a 0

3 Consider the language L ab2c2dkdli 0 j 0 k 1 Is this language context free If so give a PDA for the language If not prove it is not a CFL

1 Consider the following grammar ScScc A AaaaAbb aaaDbb DddD d a Describe the language produced by this grammar in set notation i e L ie th same format used in other problems e g 2 below Briefly explain your reasoning b Come up with a PDA that accepts the same language

2 Consider the language L amb2mc m n 0 m odd n even Is this language context free If it is give a GRAMMAR that accepts it else prove it s not a CFL

5 The order is Ampicillin 500 mg in 100 mL of 0 9 Normal Saline IVPB The order is to administer the IVPB over 45 minutes Your tubing delivers 12 gtts mL How many mL hour should the IV pump be set 60mix 9 m2 125 100 me mt What is the correct rate of the infusion in gtts minute 45 The 72000 IL 00 mL

TheMortgageReports com reported the median price of a home sold in the United States hit a record high in 2020 at just above 320 000 Juan Carlos Soto Jr wants to purchase a new home for 306 500 Juan puts 20 down and will finance the remainder of the purchase Compare the following two mortgage options he has 15 years at 4 5 or 20 years at 5 5 Use Table 15 1 Note Round your intermediate calculations and final answers to the nearest cent a Calculate Juan s monthly payment for both the 15 and 20 year mortgage Answer is not complete Monthly payment for 15 year mortgage Monthly payment for 20 year mortgage b Calculate Juan s total cost of interest for both the 15 and 20 year mortgage Answer is not complete Total cost of interest for 15 year mortgage Total cost of interest for 20 year mortgage 92 436 800 c What is the difference in interest paid between 15 and 20 year mortgage

If you buy a home with less than 20 down you will pay an additional monthly fee PMI private mortgage insurance until you reach 20 equity Keep track of when you reach 20 equity so you can request to have your PMI removed Ken Buckmiller s home recently appraised at 297 000 His mortgage was for 282 000 at 5 for 30 years with PMI of 299 17 per month What is his monthly payment plus PMI His mortgage balance is currently 183 000 Has he reached 20 equity Use Table 15 1 Note Round your intermediate calculations and final answer to the nearest cent Monthly payment Has he reached 20 equity Yes

Daniel and Jan agreed to pay 546 000 for a four bedroom colonial home in Waltham Massachusetts with a 50 000 down payment They have a 25 year mortgage at a fixed rate of 6 Use Table 15 1 a How much is their monthly payment Note Round your answer to the nearest cent Monthly payment b After the first payment what would be the balance of the principal Note Round your answers to the nearest cent Payment number Portion to Balance of loan Interest Principal outstanding

Complete the following table Use Table 15 1 Note Round your intermediate calculations and final answer to the nearest cent First Payment Broken Down Into Selling price Down payment Amount mortgage Rate Years Monthly payment Balance at end of month Interest Principal 120 000 5 000 6 50 30

Sketch a rational function subject to the given conditions Horizontal asymptote y 1 Vertical asymptote x 2 y Intercept x Intercept 3 0 Part 0 3 Part 1 of 3 Sketch the horizontal asymptote y 1 and vertical asymptote x 2 X G

Joan of Arc helped to relieve the siege of Orleans Paris Agincourt Reims

Translate each of the following sentences about the beans in the bowl using the given translation key Domain The world and everything in it J x x is a jellybean i e one of those in the pictured bowl R x x is red G x x is green B x x is black NOTE Click here for info on typing symbols and formulae in activities Question 8 If some of the jellybeans are black then none are red Question 9 Some of the jellybeans are not black Question 10 4 points 4 points

The National Transportation Safety Board collected data showing that 70 of all licensed drivers are older than age 25 Information on the age of n 50 individuals who recently received speeding tickets was sourced by a team of researchers interested in examining whether the age distribution of individuals who receive speeding tickets is different from the age distribution of licensed drivers Question What is the appropriate analysis to answer this research question and why

Larry s Homemade Ice Cream Shop located in the vibrant Adams Morgan area of Washington D C is known for its gourmet ice cream However some customers have requested healthier low fat options Larry decides to invest in a new machine that makes delicious frozen yogurt The machine manufactured in Italy costs 5 000 plus an additional 1 750 for installation Larry estimates that the machine will generate a net cash flow of 2 000 per year He expects the machine to have a useful life of 10 years a salvage value of 400 Given Larry s cost of capital at 15 percent he questions whether the machine is overpriced Is he right What is the Internal Rate of Return IRR for th investment

Set up the eigen value equation that would be used to get the linear momentum for a 1 dimensional particle in a box in the ground state Use the handout of operators

Twenty sections of bilingual math courses taught in both English and Spanish are to be offered in introductory algebra intermediate algebra and liberal arts math The preregistration figures for the number of students planning to enroll in these bilingual sections are given in the following table Use Webster s method with d 29 6 to determine how many bilingual sections of each course should be offered Course Enrollment Introductory Algebra 120 Intermediate Algebra 282 Liberal Arts Math 186 Course Number of Apportioned Sections Introductory Algebra

A large hotel chain needs to apportion 28 new staff members among three hotels based on the numbers of rooms in each hotel as shown below Use the table to answer parts a and b Hotel A B C Total Number of rooms 308 218 286 812 a What is the standard divisor 29 Type an integer or a decimal rounded to the nearest hundredth as needed b Find each hotel s standard quota The standard quota for hotel A is 10 62 Type an integer or a decimal rounded to the nearest hundredth as needed The standard quota for hotel B is

A resort management company plans to apportion 58 new beach umbrellas among four resorts based on the number of rooms in each resort as shown in the table Determine each resort s apportionment using Jefferson s method Hint Some divisors between 10 and 11 will work Resort A B C D Total Number of Rooms 93 105 137 265 600 Resort A Number of Umbrellas 9 Type an integer Resort B Number of Umbrellas

8 Nancy is in her apartment on the sixth floor of a building She spots two cars that are parked 10 ft apart If she measures the angle of depression to the closest car to be 50 and then the further car to be is 38 How far is the first car parked from the base of her apartment building to the nearest foot

7 Ana and Baker are on opposite sides of a tall tree Anna is closer and measures the angle of elevation to the top of the tree to be 74 and Baker measures an angle of elevation of 43 If Ana and Baker are 50 meters apart how tall is the tree to the nearest meter

a Investigate the existence of equilibrium point s for the following nonlinear difference equation xn 1 rxn 1 xn and state the condition under which an equilibrium is stable if it exists b Consider the following nonlinear difference equation for population growth kxn b k 0 xn 1 b xn i ii iii Does the population reach a steady state If your answer in i is yes is the steady state stable Discuss when a conclusion from your investigation is biologically meaningless c Discuss the equilibrium and stability of the balls in the following diagram

6 Trigonometry Homework Lesson 2 MULTIPLE RIGHT TRIANGLE PROBLEMS 1 Calculate the length of BC 30 10 cm 50 8 cm C 2 Calculate the measure of LABC a 44 C