A. 11 years B. 14 years C. 18 years D. 17 years ____ 7. How many compounding periods are for $1000 invested for 6 years at 4.2% compounded semi-annually? A. 6 B. 12 C. 42 D. 6000 ____ 8. How many compounding periods are there for $850 invested for 10 years at 4.75% compounded quarterly? A. 2.5 B. 10 C. 30 D. 40 ____ 9. How many compounding periods are there for $2200 invested for 3.5 years at 3.5% compounded monthly? A. 6 B. 12 C. 42 D. 60 ____ 10. Determine the future value and the total interest earned for the investment. Principal (P) ($) Compound Interest Rate per Annum (%) Compounding Frequency Term 16 000 5.4 monthly 4.5 years A. $20 389.98; $4389.98 B. $19 848.02; $3848.02 C. $20 398.53; $4398.53 D. $20 956.50; $4956.50 ____ 11. Determine the future and the total interest earned for the investment. Principal (P) ($) Compound Interest Rate per Annum (%) Compounding Frequency Term 50 0.9 weekly 6 months A. $50.23; $0.23 B. $50.20; $0.20
____ 23. For 16 years, regular monthly payments of $250 are deposited into an account that compounds interest monthly. If the final value of the account is $60 000, what was the interest rate? A. 2.71% B. 2.84% C. 2.76% D. 2.80% ____ 24. For 3 years, regular weekly payments of $50 are deposited into an account that compounds interest weekly. If the final value of the account is $8600, what was the interest rate? A. 6.51% B. 6.43% C. 6.23% D. 6.45% ____ 25. For 1 year, regular payments of $2 are deposited into an account that compounds interest daily. If the final value of the account is $750, what was the interest rate? A. 5.4% B. 6.4% C. 6.2% D. 5.8% ____ 26. This portfolio was started 3 years ago. What is the current value of the portfolio? • A $1200 GIC that earns 2.65%, compounded quarterly • Monthly deposits of $250 into an account earning 1.75%, compounded monthly A. $10 532.48 B. $10 780.55 C. $11 021.88 D. $11 235.58 ____ 27. This portfolio was started 10 years ago. What is the current value of the portfolio? • A $1200 GIC that 2.65%, compounded quarterly • Monthly deposits of $250 into an account earning 1.75%, compounded monthly A. $35 945.21 B. $32 578.18 C. $33 500.69 D. $34 321.78 ____ 28. This portfolio was started 17 years ago. What is the portfolio’s current rate of return? • A 17-year $25 000 bond earning 7.25%, compounded semi-annually • Quarterly deposits of $300 into an account averaging 4.7%, compounded quarterly A. 152.5% B. 161.4%
C. $11 860.00 D. $17 439.37 ____ 46. What is the meaning of disjoint in set theory? A. two or more sets having no elements in common B. two or more sets that do not match C. sets that are in different universal sets D. sets that contain no elements ____ 47. What is the universal set? A. a set with an infinite number of elements B. a set of all the elements under consideration for a particular context C. a set with a countable number of elements D. a set that contains every possible element ____ 48. Rahim described the set as follows: • M = {all of the foods he eats} • D = {his favourite desserts} • V = {his favourite vegetables} • F = {his favourite fruits} Assume Rahim likes some fruit for dessert. Which statement is true? A. The universal set is D, Rahim’s favourite desserts. B. Set F is a subset of D. C. Set D is a subset of V. D. Set M and set V are mutually exclusive. ____ 49. Which Venn diagram correctly represents the situation described? Rahim described the set as follows: • M = {all of the foods he eats} • D = {his favourite desserts} • V = {his favourite vegetables} • F = {his favourite fruits} Assume Rahim likes some fruit for dessert. A. B. C. D. ____ 50. the following situation: • the universal set U = {positive integers less than 20} • X = {4, 5, 6, 7, 8} • P = {prime numbers of U} • O = {odd numbers of U}
How many students are neither in the yearbook club nor on student council? A. 2 B. 5 C. 1 D. 20 ____ 55. Consider the following Venn diagram of herbivores and carnivores: Determine H  C. A. {moose, rabbit, deer, squirrel} B. {bear, raccoon, badger} C. {cougar, wolf} D. {moose, rabbit, deer, squirrel, bear, raccoon, badger, cougar, wolf} ____ 56. Consider the following Venn diagram of foods we eat raw or cooked: Determine H  C. A. {fish, spinach, apples, cucumber, lettuce, chicken, pork, rice, pasta, potatoes} B. {chicken, pork, rice, pasta, potatoes} C. {cucumber, lettuce} D. {fish, spinach, apples} ____ 57. Consider the following two sets: • C = {–10, –8, –6, –4, –2, 0, 2, 4, 6, 8, 10} • B = {–9, –6, –3, 0, 3, 6, 9, 12} Determine n(C  B). A. 3 B. 8 C. 11 D. 19 ____ 58. Consider the following two sets: • A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} • B = {–9, –6, –3, 0, 3, 6, 9, 12} Determine A  B. A. {–9, –6, –3, 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12} B. {0, 1, 2, –3, 4, 5, –6, 7, 8, –9, 10, 11, 12} C. {1, 2, 4, 5, 7, 8, 10, 11} D. {–9, –6, –3, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
C. 6.25% D. 10.16% ____ 97. There are 35 cards, numbered 1 to 35, in a box. Two cards are drawn, one at a time, with replacement. Determine the probability of drawing two multiples of 10. A. 0.02% B. 0.36% C. 0.73% D. 0.99% ____ 98. Select the independent events. A. P(A) = 0.22, P(B) = 0.39, and P(A  B) = 0.072 B. P(A) = 0.18, P(B) = 0.7, and P(A  B) = 0.163 C. P(A) = 0.51, P(B) = 0.1, and P(A  B) = 0.069 D. P(A) = 0.9, P(B) = 0.23, and P(A  B) = 0.207 ____ 99. Select the independent events. A. P(A) = 0.67, P(B) = 0.12, and P(A  B) = 0.086 B. P(A) = 0.83, P(B) = 0.4, and P(A  B) = 0.378 C. P(A) = 0.4, P(B) = 0.91, and P(A  B) = 0.364 D. P(A) = 0.2, P(B) = 0.32, and P(A  B) = 0.046 ____ 100. There are three children in the Stribling family. Determine the probability that all the children are girls. A. 12.5% B. 25% C. 37.5% D. 50%