Questions

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

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Find the volume of the solid whose base is the region bounded by y x6 y 1 and the y axis and whose cross sections perpendicular to the y axis are equilateral triangles 3 3 Volume 4

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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

Find the volume of the solid obtained by rotating the region bounded by y 6x 54 y 0 x 0 about the y axis

follow a periodic pattern of rise and fall called the tides The graph below shows the sea level at a certain beach in feet over two days where time t is measured in hours after 12 00 a m midnight on the first day Sea level in feet 8 5 24 20 5 24 25 0 Time in hours 14 5 0 Write an equation in terms of y the sea level in feet and t time in hours to represent the given context

In calculating the bank discount when discounting an interest bearing note which one of the following is not used in the calculation O Principal proceeds Maturity value Bank discount rate Discount period None of these

1 point Find the solution of the exponential equation 4 2x 1 25

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

An arch is in the shape of a parabola with its vertex at the top It has a span of 100 feet and a maximum height of 45 feet Find the equation of the parabola and determine the height of the arch 10 feet from the center of the base of th arch ft

12 Find the value of x and y Hint Find x first Then use x to findy x y 5 X 5 4

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

Most companies calculate the finance charge on credit card accounts as a percentage of the Daily balance Weekly balance Average daily balance Average weekly balance 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

REASONING In Exercises 29 34 tell whether it is possible for a cross section of a cube to have the given shape If it is describe or sketch how the plane could intersect the cube 29 circle 31 rhombus 30 pentagon 32 isosceles triangle 33 hexagon 34 scalene triangle

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

If the function f x csc sec is periodic what is its period 3 3 O a The period is 9 O b The period is T O c The function is not periodic d The period is 6

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

een pr you com Practice Pedigrees mine the inheritance patern of each of the following pedigrees Then label the genotypes of each individual in the pedigrees

The sign of sin 0 is negative and the sign of cos 0 is negative In what quadrant is located O a is in Quadrant I O b is in Quadrant III Oc is in Quadrant III O d is in Quadrant IV

Solve for t K 5 3 3 t for t 0

Two high school statistics students are studying in their school s library They see the librarian seemingly selected random books from the shelves The two students wonder aloud what they believe the librarian is doing Student 1 states I bet she is selecting random books to try and find the average page number for the books in the library Student 2 states No I think she is selecting random books to estimate the proportion of books per category fiction non fiction etc Which student is correct

Find the coordinates of the vector 2 5 with respect to the order basis 3 1 13 4 Answer

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

The function is given by j x 4 3 tan A x 1 2zk where k is an integer B x k where k is an integer 22 C x zk where k is an integer D x x 2xk where k is an integer Which of the following gives the vertical asymptotes of j

2 The area of the region between the graph of y x 8x 9 and the x axis is

d 4x Find 1 28 dt dx 6 4x d dr 1 8 dt

1 ss between SS between Ea I n 2 T N SS between 57 47 21 1252 7 SS 98 671 21

Consider the series n 1 1 113 1 n 6 4 12n 2 In this problem you must attempt to use the Ratio Test to decide whether the series converges Compute 12 818 an 1 an Enter the value of L If L is finite enter the numerical value Otherwise enter INF if L diverges to infinity INF if it diverges to negative infinity or DIV if it diverges but not to infini egative infinity 0 Which of the following statements is true The Ratio Test says that the series converges absolutely The Ratio Test says that the series diverges The Ratio Test says that the series converges conditionally The Ratio Test is inconclusive but the series converges absolutely by another test or tests The Ratio Test is inconclusive but the series diverges by another test or tests

The area of the region between the graph of y r 8x 9 and the x axis 2

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

5n An 10n 3 For both of the following answer blanks decide whether the given sequence or series is convergent or divergent If convergent enter the limit for a sequence or the sum for a series If divergent enter INF if it diverges to infinity INF if it diverges to minus infinity or DIV otherwise The series An 4 n 1 a b The sequence An 10 5

Directions After identifying the amino acid sequences for your gene follow the model below to construct the resulting structure of each protein on your own sheet 1 Using graph paper provided start your sequence in the third box down and third box from the left 2 The original protein will be contained within the first sheet and the other three proteins should each be on their own sheets for comparison 3 Write the first three letters of the amino acids into the three boxes if space allows Where boxes may be too small shade the boxes in and label each amino acid next to that shape 4 Use the key on the following page to assemble each protein Once all 4 models have been drawn on your graph paper you can more easily determine where the shape of the protein has changed if at all Circle the point at which the shape first changed in each altered protein Answer the following questions based on your completed translated sequences What is an addition insertion What is a substitution What is a frameshift What is a silent mutation Of the four mutation types above which can cause one of the others Explain using evidence

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

19 3 20 21 7x8 4 8

What is the value of 3 5 b and c 2 5 ac C 2 2 c 2 a b c a if a 1 2 10 2

What is the value of 2 2 10x if a 2 b 3 and c 5 b a C 1012 2 10X 3 2 5

7 9 2 p 6q r What is the value of 2p 9 if p 4 q and r 2 2 7 42 2 4 6 C