D C. Choose the correct answer below.

Transcription

1 11/15/2017 rint uestions 1. In the figure to the right, is the image of and C is the image of C under a glide reflection. Find the image of the figure under the glide reflection. C C' ' Choose the correct answer below... C' ' C C' C ' C' ' C C' ' C 2. family needs to take out a 25 year home mortgage loan of $100,000 through a local bank. nnual interest rates for 25 year mortgages at the bank are 7.8% compounded monthly. (a) Compute the family's monthly mortgage payment under this loan. (b) How much interest will the family pay over the life of the loan? (a) The monthly payment is $. (ound the final answer to two decimal places as needed. ound all intermediate values to six decimal places as needed.) (b) The total interest paid is $. (ound the final answer to two decimal places as needed. ound all intermediate values to six decimal places as needed.) 3. Compute the value of each of the following. (a) F + F + F + F (b) F (c) F 10 F 5 (d) F 15 F 5 (a) F + F + F + F = (b) F = (Type an integer or a decimal.) (Type an integer or a decimal.) F 10 (c) F 5 = (Type an integer or a decimal.) (d) F 15 F 5 = (Type an integer or a decimal.) 1/21

2 11/15/2017 rint uestions 4. Express each of the following as a single Fibonacci number. (a) F N F N + 5 = (b) FN FN 2 = (c) F N F N F N F N + 7 = (a) F N F N + 5 = F (Type an expression using N as the variable.) (b) FN FN 2 = F (Type an expression using N as the variable.) (c) F N F N F N F N + 7 = F (Type an expression using N as the variable.) 5. The figure below is a regular hexagon CEF with center O. (,,,, T, and U are the midpoints of the sides.) The image of under the reflection with axis the line passing through and is.. T U E. none of these 6. Ken just bought a house. He made a $25,000 down payment and financed the balance with a 30 year home mortgage loan with an annual interest rate of 6% compounded monthly. His monthly mortgage payment is $1,023. What was the selling price of the house? The selling price of the house is $. (o not round until the final answer. Then round to two decimal places as needed.) 2/21

3 11/15/2017 rint uestions 7. Fibonacci like sequences are based on the same recursive rule as the Fibonacci sequence (from the third term on each term is the sum of the two preceding terms), but they are different in how they get started. Consider the Fibonacci like sequence 4, 4, 8, 12, 20, 32,..., and let N denote the Nth term of the sequence. (a) Find 10. (b) Given that F 27 = 196,418, find 27. (c) Express N in terms of F N. (a) 10 = (b) 27 = (c) Which of the following correctly expresses N in terms of F N?. N = F N + 4. N = 4F N N = 4F N 4 N = 4F N uppose a four year bond is purchased for $ The face value of the bond when it matures is $ Find the. The bond's is % (Type an integer or a decimal.) 9. For problems (a) through (d), give an answer between 0 and 360. (a) What is the counterclockwise equivalent to a clockwise rotation of 610? (b) What is the clockwise equivalent to a clockwise rotation by an angle of 610? (c) What is the clockwise equivalent to a counterclockwise rotation of 6100? (d) What is the clockwise equivalent to a clockwise rotation by an angle of 61,000? 3/21

4 11/15/2017 rint uestions 10. Find the value of a retirement savings account paying an of 6.6% after 45 years (contributions made at the end of each year, including the last year) when the annual contribution is shown. (a) $1200 (b) $800 (c) $2000 (a) When the annual contribution is $ 1200, the value of a retirement savings account paying an of 6.6% after 45 years is $. (o not round until the final answer. Then round to the nearest cent as needed.) (b) When the annual contribution is $ 800, the value of a retirement savings account paying an of 6.6% after 45 years is $. (o not round until the final answer. Then round to the nearest cent as needed.) (c) When the annual contribution is $ 2000, the value of a retirement savings account paying an of 6.6% after 45 years is $. (o not round until the final answer. Then round to the nearest cent as needed.) 11. Use the figure to the right to answer questions (a) through (d). v 1 E v 2 C v 3 v 4 (a) Find the image of under the translation with vector v. 1 point (b) Find the image of under the translation with vector v. 2 point (c) Find the image of under the translation with vector v. 3 point (d) Find the image of under the translation with vector v. 4 point 4/21

5 11/15/2017 rint uestions 12. Consider the following sequence of equations involving Fibonacci numbers. Complete parts (a) through (c) = = = = 55 (a) Which of the following is a reasonable choice for the fifth equation in this sequence = = = = 199 (b) Find the subscript that will make the following equation true.... F 1 + F 3 + F F23 = F (c) Find the subscript that will make the following equation true (assume N is odd).... F 1 + F 3 + F FN = F 13. Over a period of one week, a stock index did the following: On Monday the index went up by 3.7%, on Tuesday it went up by 11.2%, on Wednesday it went down by 4.8%, on Thursday it went up by 1.4%, and on Friday it went down by 6.8%. What was the percentage increase/decrease of the index over the week? The stock index (1) by % over the week. (ound to one decimal place as needed.) (1) increased decreased 14. Complete parts (a) and (b) below for an investment of = $ compounded annually with a 9.25%. (a) Find the value of the investment after 4 years. $ (ound to the nearest cent as needed.) (b) Find the value of the investment after 5 and a half years. $ (ound to the nearest cent as needed.) 15. etermine the result of applying a 50 clockwise rotation followed by a 50 counterclockwise rotation with the same center.. a 100 counterclockwise rotation. a 100 clockwise rotation the identity motion a reflection E. none of the above 5/21

6 11/15/2017 rint uestions 16. Find the Y for an of 12.3% compounded (a) yearly, (b) semi annually, (c) monthly, and (d) continuously. (a) The Y for an of 12.3% compounded yearly is %. (o not round until the final answer. Then round to the nearest hundredth as needed.) (b) The Y for an of 12.3% compounded semi annually is %. (o not round until the final answer. Then round to the nearest hundredth as needed.) (c) The Y for an of 12.3% compounded monthly is %. (o not round until the final answer. Then round to the nearest hundredth as needed.) (d) The Y for an of 12.3% compounded continuously is %. (o not round until the final answer. Then round to the nearest hundredth as needed.) 17. For an investment having an Y of 6%, estimate the number of years needed to double the principal. The number of years needed to double the principal at an Y of 6% is (ound up to the nearest year.) years. 18. In the figure to the right, a rotation moves to. nswer parts (a) and (b). and to (a) Find the rotocenter O. lot the coordinates of the rotocenter on the graph to the right. (b) Find the image of the arrow under the rotation. Choose the correct graph below /21

7 11/15/2017 rint uestions 19. Find the value of a retirement savings account paying an of 6.2% (compounded monthly) after 45 years of monthly contributions (contributions made at the end of each month, including the last month) when the monthly contribution is shown. (a) $125 (b) $58 (c) $ (a) When the monthly contribution is $ 125, the value of a retirement savings account paying an of 6.2% after 45 years is $. (o not round until the final answer. Then round to the nearest cent as needed.) (b) When the monthly contribution is $ 58, the value of a retirement savings account paying an of 6.2% after 45 years is $. (o not round until the final answer. Then round to the nearest cent as needed.) (c) When the monthly contribution is $ , the value of a retirement savings account paying an of 6.2% after 45 years is $. (o not round until the final answer. Then round to the nearest cent as needed.) 20. uppose Gwen wants to buy a car. The dealer offers a financing package consisting of a 9% compounded monthly for a term of 6 years. uppose Gwen wants her monthly payments to be at most $ 330. What is the maximum amount that she should finance? The maximum amount Gwen should finance is $. (o not round until the final answer. Then round to the nearest dollar as needed.) 21. Find the of a bond that doubles its value in 11 years. The is %. (ound to the nearest hundredth as needed.) 7/21

8 11/15/2017 rint uestions 22. In the figure to the right, is the image of under a glide reflection having axis. Find the image of the quadrilateral under the glide reflection. Choose the correct graph below The image of point under a translation is point Use the figure on the right to find the image of point H under the same translation.. G... F. E. none of these 8/21

9 11/15/2017 rint uestions 24. In the figure to the right, is the image of under a reflection. (a) Find the axis of the reflection. (b) Find the image of the shaded arrow under the reflection. (a) Choose the correct graph below... (b) Choose the correct graph below /21

10 11/15/2017 rint uestions 25. Consider the Fibonacci like sequence 8, 12, 20, 32, 52, 84,..., and let N denote the Nth term of the sequence. (a) Find 9. (b) Given that F 21 = 10,946, find 19. (c) Express N in terms of F N + 2. (a) Find 9. 9 = (Type a whole number). (b) Given that F 21 = 10,946, find = (Type a whole number.) (c) Express N in terms of F N + 2. N = (1) (1) 5 + F N + 2 4F N + 2 5F N F N uppose a five year bond is purchased with an of 5.75%. The face value of the bond is $ Find the purchase price of the bond. The purchase price of the bond is $. (ound to the nearest cent as needed.) 10/21

11 11/15/2017 rint uestions 27. Use the figure to the right to complete parts (a) through (e). F I E H C G (a) Find the image of E under a 90 clockwise rotation with rotocenter H. (b) Find the image of H under a 90 clockwise rotation with rotocenter E. (c) Find the image of F under a 60 clockwise rotation with rotocenter E. (d) Find the image of F under a 120 clockwise rotation with rotocenter E. (e) Find the image of I under a 3330 clockwise rotation with rotocenter H. 28. Express each of the following percentages as a decimal. (a) 0.63% (b) 0.08% (a) 0.63 % = (Type an integer or a decimal.) (b) 0.08 % = (Type an integer or a decimal.) 29. particular payday loan company offers quick, short term loans using the borrower's future paychecks as collateral. The loan company charges $ 18 for each $ 140 loaned for a term of 14 days. Find the charged by the payday loan company. The loan's is %. (ound to one decimal place as needed.) 30. There were four different sections of Financial Mathematics 101 offered last semester. In section, 31 out of 38 students passed the class; in section, 48 out of 54 students passed the class; in section C, 32 out of 43 students passed the class; and in section, 46 out of 52 students passed the class. Compare the passing rates in each section and rank them from best to worst. Compare the rates and rank them from best to worst. %, %, %, % (ound to two decimal places as needed.) 11/21

12 11/15/2017 rint uestions 31. For three consecutive years, the cost of gasoline increased by 8%, 12%, and 20%, respectively. What was the overall percentage increase of the cost of gasoline during the three year period? The overall percentage increase of the cost of gasoline during the three year period was %. (o not round until the final answer. Then round to two decimal places as needed.) 32. In the figure to the right, is the axis of reflection. Complete parts (a) and (b). (a) Find the image of under the reflection. Choose the correct graph below... (b) Find the image of quadrilateral under the reflection. Choose the correct graph below Consider a C paying a 1.4% compounded daily. (a) Find the periodic interest rate. (b) Find the future value of the C if you invest $ 5000 for a term of two years. (a) The periodic interest rate is %. (ound to three decimal places as needed.) (b) The future value of the C is $. (Use the answer from part (a) to find this answer. ound to the nearest cent as needed.) 12/21

13 11/15/2017 rint uestions 34. escribe in words what each of the expressions represents. (a) 3F + 1 N (b) 3F N + 1 (c) F + 1 3N (d) F 3N + 1 (a) Choose the correct answer below.. one more than three times the Nth Fibonacci number. the ( 3 N + 1) st Fibonacci number three more than one times the Nth Fibonacci number three times the ( 3 N + 1) st Fibonacci number E. three more than ( 3N)th Fibonacci number F. three times the (N + 1) st Fibonacci number G. one more than ( 3N)th Fibonacci number (b) Choose the correct answer below.. three more than one times the Nth Fibonacci number. one more than three times the Nth Fibonacci number one more than ( 3N)th Fibonacci number the ( 3 N + 1) st Fibonacci number E. three times the ( 3 N + 1) st Fibonacci number F. three times the (N + 1) st Fibonacci number G. three more than ( 3N)th Fibonacci number (c) Choose the correct answer below.. three times the (N + 1) st Fibonacci number. one more than three times the Nth Fibonacci number the ( 3 N + 1) st Fibonacci number three more than ( 3N)th Fibonacci number E. three more than one times the Nth Fibonacci number F. one more than ( 3N)th Fibonacci number G. three times the ( 3 N + 1) stfibonacci number (d) Choose the correct answer below.. one more than ( 3N)th Fibonacci number. three more than ( 3N)th Fibonacci number three times the ( 3 N + 1) st Fibonacci number the ( 3 N + 1) st Fibonacci number E. three times the (N + 1) st Fibonacci number F. three more than one times the Nth Fibonacci number G. one more than three times the Nth Fibonacci number 13/21

14 11/15/2017 rint uestions 35. Consider the Fibonacci like sequence 4, 8, 12, 20, 32, 52,..., and let N denote the Nth term of the sequence. (a) Find 9. (b) Given that F 20 = 6765, find 19. (c) Express N in terms of F N + 1. (a) Find 9. 9 = (Type a whole number). (b) Given that F 20 = 6765, find = (Type a whole number.) (c) Express N in terms of F N + 1. N = (1) (1) 5F N F N + 1 4F N F N Use the figure below to complete parts (a) through (d). (a) Find the image of under the reflection with axis The reflection of across axis 1 is (1) C E F G 4 1 (b) Find the image of under the reflection with axis 2. The reflection of across axis 2 is (2) (c) Find the image of under the reflection with axis 3. The reflection of across axis 3 is (3) (d) Find the image of under the reflection with axis 4. The reflection of across axis 4 is (4) (1). E. (2). E. (3). E. (4). E.. F.. F.. F.. F. G. G. G. G. 14/21

15 11/15/2017 rint uestions 37. Consider a C paying a 3.5% compounded monthly. (a) Find the periodic interest rate. (b) Find the future value of the C if you invest $ 4000 for a term of three years. (a) The periodic interest rate is %. (ound to three decimal places as needed.) (b) The future value of the C if you invest $ 4000 for a term of three years is $. (Use the answer from part (a) to find this answer. ound to the nearest cent as needed.) 38. In the figure to the right, is the image of under a translation. Find the image of the trapezoid under the translation. ' Choose the correct answer below... ' ' ' ' 39. etween the years 1972 and 1982, the average annual inflation rate was 4.9%. Find the salary in the year 1982 that would be equivalent to a $10,000 salary in The salary in 1982 dollars that would be equivalent to a $10,000 salary in 1972 is $. (ound to the nearest cent as needed.) 40. For an investment having an Y of 3%, estimate the number of years needed to double the principal. ound your answer to the nearest year.. 12 years. 6 years 10 years 24 years E. None of these 15/21

16 11/15/2017 rint uestions 1. C C' ' , , N + 6 N 1 N , ,672. N = 4F N , , , /21

17 11/15/2017 rint uestions 11. C = N (1) increased the identity motion /21

18 11/15/2017 rint uestions , , , , F. 18/21

19 11/15/2017 rint uestions ,784 (1) 4F N I G H C /21

20 11/15/2017 rint uestions one more than three times the Nth Fibonacci number F. three times the (N + 1) st Fibonacci number F. one more than ( 3N)th Fibonacci number the ( 3 N + 1) st Fibonacci number ,060 (1) 4F N (1) (2). (3) E. (4) /21

21 11/15/2017 rint uestions 38. ' , years 21/21