Exam 3 Review: Concepts and Solutions in Contemporary Math

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 1/15 1. 2. 3. 4. 5. 6. 7. Student: _____________________ Date: _____________________ Instructor: Aida Allen Course: 2218-MATH-1301-009- CONTEMPORARY MATH Assignment: Exam 3 Review (Optional Extra Credit Assignment) Arrange the quantities in order from smallest to largest. , , 2.3 dam 0.19 km 180 cm Choose the correct answer below. A. , , 0.19 km 180 cm 2.3 dam B. , , 180 cm 2.3 dam 0.19 km C. , , 0.19 km 2.3 dam 180 cm D. , , 2.3 dam 0.19 km 180 cm E. , , 2.3 dam 180 cm 0.19 km F. , , 180 cm 0.19 km 2.3 dam Complete. ____ 7 dam = m The answer is . Fill in the missing values. ___ 3.23 mℓ = ℓ 3.23 mℓ = ℓ (Type an integer or a decimal.) Convert to Celsius. Use or , where F is the degrees in Fahrenheit and C is the degrees in Celsius. C = (F − 32) 5 9 F = C + 32 9 5 F 91 ° F C 91 ° = ° (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) Convert C to Fahrenheit. Use or , where F is the degrees in Fahrenheit and C is the degrees in Celsius. 47 ° C = (F − 32) 5 9 F = C + 32 9 5 C F 47 ° = ° (Simplify your answer. Type an integer or a decimal.) Convert the quantity to the indicated units. pounds to kilograms 30 Weight (Mass) 1 ounce (oz) 28 grams (g) = 1 pound (lb) 0.45 kilogram (kg) = 1 ton (T) 0.9 tonne (t) = lb kg (Round to the nearest hundredth as needed.) 30 Convert to the indicated metric unit. Convert to square . 30 mi 2 kilometers Convert to square . 30 mi 2 kilometers 30 mi 2 = km 2 (Round to the nearest hundredth as needed.) Conversion to Metric units of Area 1 sq inch (in ) = 6.5 sq cm (cm ) 2 2 1 sq foot (ft ) = 0.09 sq m (m ) 2 2 1 sq yard (yd ) = 0.8 sq m (m ) 2 2 1 sq mile (mi ) = 2.6 sq km (km ) 2 2

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 2/15 8. 9. 10. Convert the given quantity to the indicated units. to fluid ounces 26.9 mℓ 1 teaspoon (tsp) 5 milliliters ( ) = mℓ 1 tablespoon (tbsp) 15 milliliters ( ) = mℓ 1 fluid ounce (fl oz) 30 milliliters ( ) = mℓ 1 cup (c) 0.24 liter ( ) = ℓ 1 pint (pt) 0.47 liter ( ) = ℓ 1 quart (qt) 0.95 liter ( ) = ℓ 1 gallon (gal) 3.8 liters ( ) = ℓ fl oz (Round to the nearest hundredth as needed.) 26.9 mℓ (1) Determine the area of the triangle. 3 m 80 cm A (1) = (Type a whole number.) cm. cm . 2 cm . 3 m. (1) (2) Determine (a) the area and (b) the perimeter of the quadrilateral. 6 ft 2 yd a. The area of the quadrilateral is (1) (Type a whole number.) b. The perimeter of the quadrilateral is (2) (Type a whole number.) yd. ft . 2 ft . 3 ft. ft. ft . 3 yd 2 ft . 2

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 3/15 11. 12. 13. Find the simple interest. Assume the rate is an annual rate. Assume 360 days in a year. Principal Rate Time in Months Interest p $ = 1250 r % = 2 1 2 t = 9 The interest is $ . (Round to the nearest cent.) Use the compound interest formula to compute the total amount accumulated and the interest earned. $ for years at % compounded 2500 5 2.3 monthly The total amount accumulated after years is $ . 5 (Round to the nearest cent as needed.) The amount of interest earned is $ . (Round to the nearest cent as needed.) Use the present value formula to determine the amount to be invested now, or the present value needed. The desired accumulated amount is $ after years invested in an account with % interest compounded . 110,000 6 3 quarterly The amount to be invested now, or the present value needed, is $ . (Round to the nearest cent as needed.)

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11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 4/15 14. 1: More Info A partial payment is made on the date indicated. Use the United States rule to determine the balance due on the note at the date of maturity. (The Effective Date is the date the note was written.) Assume the year is not a leap year. Principal Rate Effective Date Partial Payment Maturity Date Amount Date $4000 % 5 1 April $1000 1 May 1 June Click the icon to view a table of the number of the day of the year for each date. 1 The balance due on the note at the date of maturity is $ . (Round to the nearest cent as needed.) Add 1 day for leap year if February 29 falls between the two dates under consideration.

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 5/15 15. 16. 2: Partial APR Table Landon Wallin is an auto mechanic who wishes to start his own business. He will need $ to purchase tools and equipment. Landon decides to finance the purchase with a -month fixed installment loan with an APR of %. 5100 48 5.5 a) Determine Landon's finance charge. b) Determine Landon's monthly payment. Click the icon to view the partial APR table. 2 a) Landon's finance charge is $ . (Round to the nearest cent as needed.) b) Landon's monthly payment is $ . (Round to the nearest cent as needed.) Number of payments Annual Percentage Rate 4.5% 5.0% 5.5% 6.0% 6.5% (Finance charge per $100 of amount financed) 36 7.09 7.90 8.71 9.52 10.34 48 9.46 10.54 11.63 12.73 13.83 60 11.86 13.23 14.61 16.00 17.40 3: table of interest rates Ray Flagg took out a 60-month fixed installment loan of $12,000 to open a new pet store. He paid no money down and began making monthly payments of $ . Ray's business does better than expected and instead of making his th payment, Ray wishes to repay his loan in full. Complete parts a) through c) . 232 36 Click the icon to view the table of interest rates. 3 a) Determine the APR of the installment loan. APR % = b) How much interest will Ray save by paying off the loan early? (Use the actuarial method) Interest saved $ (Round to the nearest cent.) = c) What is the total amount due to pay off the loan? The total amount due $ (Round to the nearest cent.) = Annual Percentage Rate Number of Payments 3.0% 3.5% 4.0% 4.5% 5.0% 5.5% 6.0% 6.5% 7.0% (Finance charge per $100 of amount financed) 24 3.15 3.69 4.22 4.75 5.29 5.83 6.37 6.91 7.45 30 3.92 4.58 5.25 5.92 6.59 7.26 7.94 8.61 9.30 36 4.69 5.49 6.29 7.09 7.90 8.71 9.52 10.34 11.16 48 6.24 7.31 8.38 9.46 10.54 11.63 12.73 13.83 14.94 60 7.81 9.15 10.50 11.86 13.23 14.61 16.00 17.40 18.81

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 6/15 17. 18. 19. 20. 21. 22. 23. The Fritzes are buying a house that sells for $ . The bank is requiring a minimum down payment of %. To obtain a -year mortgage at % interest, they must pay points at the time of closing. 154,000 10 40 7.0 3 a) Determine the required down payment. b) Determine the amount of the mortgage on the property with the % down payment. 10 c) Find the cost of points on the mortgage. 3 a) The required down payment is $ . b) The mortgage on the property is $ . c) The cost of the points on the mortgage is $ . 3 (Round to the nearest dollar as needed.) Use the sinking fund formula shown to the right to determine the semiannual payments with % interest are compounded semiannually for years to accumulate $ . 9 8 20,000 p = A r n 1 + r n nt − 1 The semiannual invested payment is $ . (Round up to the nearest cent.) To save for graduate school, a student invests $ semiannually in an ordinary annuity with interest compounded semiannually. Determine the accumulated amount in the student's annuity after years. 2210 3% 15 The accumulated amount will be $ . (Round to the nearest cent as needed.) A monk crossbred plants, which can have purple or white flowers, and obtained plants with white flowers and plants with purple flowers. Find the empirical probability that a plant had each type of flower. 537 276 The probability a plant had white flowers is . (Round to the nearest hundredth as needed.) The probability a plant had purple flowers is . (Round to the nearest hundredth as needed.) You are dealt one card from a standard 52-card deck. Find the probability of being dealt a diamond. The probability of being dealt is . a diamond (Type an integer or a simplified fraction.) You are dealt one card from a standard 52-card deck. Find the probability of being dealt the of . three clubs The probability of being dealt the of is . three clubs (Type an integer or a simplified fraction.) A die is tossed. Find the odds against rolling a number greater than . 3 The odds against rolling a number greater than are : . 3 (Simplify your answer.)

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11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 7/15 24. 25. 26. 27. A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting . a 2 The odds against selecting are : . a 2 (Type integers or decimals.) The odds in favor of selecting are : . a 2 (Type integers or decimals.) The odds against Ishaq getting hired for a job are : . Determine the probability 13 16 (a) Ishaq gets hired. (b) Ishaq does not get hired. a. The probability Ishaq gets hired is . (Simplify your answer.) b. The probability Ishaq does not get hired is . (Simplify your answer.) The data to the right represent the cost of living for 20 states. The cost of living is a measure of the average price paid for housing, utilities, groceries, healthcare, transportation, and miscellaneous expenses. The national average cost of living is 100. The data can be used to compare a state to the national average and to other states. 162.2126.6 98.6 95.3 91.3 150.4122.4 98.3 94.9 90.3 135.4121.1 96.6 92.7 88.7 132.4103.1 95.7 92.1 88.3 Use these data to construct a frequency distribution with a first class of . Fill in the missing classes and the frequency for each class below. 88.0 − 99.9 Cost of living Number of states 88.0 − 99.9 − − − 136.0 − 147.9 − − 20 (Type integers or decimals. Do not round.) Twenty members of a health club who jog were asked how many miles they jog per week. The responses are to the right. Construct a stem-and-leaf display. For single digit data, use a stem of 0. Complete the stem-and-leaf display. (Use ascending order.) 11 14 2 5 13 23 21 32 15 4 9 29 40 24 16 11 25 35 17 17

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 8/15 28. Use the histogram below to answer the questions. Annual Car Insurance Premiums for Students 650 701 752 803 854 905 956 1007 0 2 4 6 8 Annual amount (dollars) a) How many students were surveyed? There were students who were surveyed. b) What are the lower and upper class limits of the first and second classes? First class: − Second class: − c) How many students have an annual car insurance premium in the class with a class mark of $752? There are students who have an annual car insurance premium in the class with a class mark of $752. d) What is the class mark of the modal class? The class mark of the modal class is $ . e) Construct a frequency distribution from this histogram. Price Number of Students 625 675 − 676 726 − 727 777 − 778 828 − 829 879 − 880 930 − 931 981 − 982 1032 −

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 9/15 29. 30. 31. 32. Determine the mean, median, mode, and midrange of the set of data. , , , , , , , , 2 5 11 28 34 16 12 8 2 What is the mean? (Round to the nearest tenth as needed.) What is the median? (Type an integer or a decimal.) What is/are the mode(s)? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode is . (Use a comma to separate answers as needed.) B. There is no mode. What is the midrange? (Round to the nearest tenth as needed.) The mean score on a set of tests is . What is the sum of all the test scores? 25 71 The sum of all the test scores is . The following statistics represent weekly salaries at a construction company. Mean $720 First quartile $410 Median $615 Third quartile $710 Mode $500 percentile 91st $721 The most common salary is $ . The salary that half the employees' salaries surpass is $ . The percent of employees' salaries that surpassed $ is %. 710 The percent of employees' salaries that were less than $ is %. 410 The percent of employees' salaries that surpassed $ is %. 721 If the company has employees, the total weekly salary of all employees is $ . 100 When a national sample of heights of kindergarten children was taken, a student was told that was in the th percentile. Explain what that means. he 65 Choose the correct interpretation below. A. is taller than kindergarten children. He 65 B. is taller than percent of all kindergarten children. He 65 C. is shorter than percent of all kindergarten children. He 65 D. is taller than percent of all kindergarten children. He 35

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11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 10/15 33. 34. 35. (1) (2) Determine (a) the area and (b) the perimeter of the quadrilateral. 7 ft 5 ft a. The area of the quadrilateral is (1) (Type a whole number.) b. The perimeter of the quadrilateral is (2) (Type a whole number.) ft . 4 ft . 2 ft . 3 ft. ft . 4 ft . 2 ft. ft . 3 The width of a ruler is about how wide? Choose the correct answer below. m 4 cm 4 mm 4 Determine the metric unit that would best be used to measure the volume of a barrel. Choose the correct answer below. Cubic millimeters Kilometers Meters Cubic meters

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 11/15 1. B. , , 180 cm 2.3 dam 0.19 km 2. 70 3. 0.00323 4. 32.8 5. 116.6 6. 13.50 7. 78.00 8. 0.90 9. 12,000 (1) cm . 2 10. 36 (1) ft . 2 24 (2) ft. 11. 23.44 12. 2804.37 304.37 13. 91,941.45 14. 3029.66 15. 593.13 118.61

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 12/15 16. 6 333.44 5466.56 17. 15,400 138,600 4158 18. 880.31 19. 82,960.48 20. 0.66 0.34 21. 1 4 22. 1 52 23. 1 1 24. 12 1 1 12 25. 16 29 13 29

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11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 13/15 26. 12 100.0 111.9 1 112.0 123.9 2 124.0 135.9 3 0 148.0 159.9 1 160.0 171.9 1 27. 0 2 4 5 9 1 1 1 3 4 5 6 7 7 2 1 3 4 5 9 3 2 5 4 0

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 14/15 28. 31 625 675 676 726 7 803 2 5 7 8 5 3 0 1 29. 13.1 11 A. The mode is . (Use a comma to separate answers as needed.) 2 18.0 30. 1775 31. 500 615 25 25 9 72,000 32. B. is taller than percent of all kindergarten children. He 65 33. 35 (1) ft . 2 24 (2) ft.

11/14/21, 3:21 PM Exam 3 Review (Optional Extra Credit Assignment)-Aida Allen https://xlitemprod.pearsoncmg.com/api/v1/print/highered 15/15 34. cm 4 35. Cubic meters

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