5) Martin can paint 1410 ft2 with 3 gal of paint. How many 1-gal cans does he need in order to paint a 22,000-ft2 wall? Find decimal notation.

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1 MAT 110 Final Exam Review Your final exam will be very similar to this, but will be multiple choice. SHORT ANSWER. Show your work for partial credit in the following problems. Use a proportion to solve the problem. 1) On a map, the length of a nature-center trail is 9.7 centimeters. If the scale is 3 centimeters to 11 kilometers, what is the actual length of the trail? 2) On Anne's bicycle, the ratio of pedal turns to rear-wheel turns in second gear is 4 to 7. If her rear wheel turns 798 times per mile, how many times does she turn the pedal in one mile? 3) A quality-control inspector examined 210 calculators and found 5 of them to be defective. At this rate, how many defective calculators will there be in a batch of 18,900 calculators? 4) A math teacher claims that the students' test scores are directly proportional to the amount of time spent studying. Amy studies 17 hours for a test and gets a score of 67. At this rate, how many hours would she have to study to get a score of 97? 5) Martin can paint 1410 ft2 with 3 gal of paint. How many 1-gal cans does he need in order to paint a 22,000-ft2 wall? Find decimal notation. 6) 85% 7) 64.03% 8) 0.40% 9) % 10) % Translate to a proportion and solve. When necessary, round to the nearest hundredth. 11) What is 8% of $442? Translate to a proportion and solve. 12) 240 is what percent of 1730? Round your answer to the nearest tenth of a percent. 13) $132 is 44% of what? Solve the problem. 14) A camera costs $810. If the sales tax rate is 3%, how much tax is charged? Round your answer to the nearest cent. 15) Robert receives a commission of $333 on sales of $3700. What is his commission rate? 1

2 16) You decide to keep track of the number of text messages you send each day. You record the following data: 5, 2, 21, 10, 24, 40, 36, 30. Find the median number of text messages you sent. 17) Six students keep track of their weekly gasoline bills. The gas bills from the students during a certain week are: $77, $45, $32, $45, $29, $77. Find the mode of the data if it exists Given the grades of a student for one semester, find the grade point average. Assume that the grade point values are 4.0 for an A, 3.0 for a B, and so on. Round to the nearest tenth. 18) Number of Credit Hours Grades in Course A 1 C 6 A 3 A 1 B 3 Refer to the double-bar graph below which shows the number of male and female athletes at a university over a four-year period. Solve the problem. 19) What was the percent of increase in the number of male athletes from 2002 to 2003? 20) How many students were involved in athletics in 2005? 2

3 Use the graph to answer the question. Big "D" Sales ( ) 2009 Sales (Thousands of $) 2008 Month 21) What were the total sales for 2008? 22) What was the percent of increase in sales between month 2 and month 12 of 2009? Round your answer to the nearest tenth. Use the circle graph to solve the problem. 23) A survey of the 5417 vehicles on the campus of State University yielded the following circle graph. 11% 14% 35% 8% 3% 29% Find the number of vans. Round your result to the nearest whole number. Solve the problem. 24) What will it cost to buy ceiling molding to go around a rectangular room with length 19 ft and width 17 ft? The molding costs $2.53 per linear foot. 3

4 25) Christmas lights need to be hung around an L-shaped office building. Find the total length of the Christmas lights needed to hang them around the entire building. 35 ft 20 ft 45 ft 18 ft Find the area. 26) cm cm 27) 6 ft 5 ft 12 ft Solve the problem. 28) How much will it cost to carpet a rectangular room measuring 21 m by 23 m, if carpeting costs $19.50 per square meter? 29) A room measures 16 ft by 18 ft. The ceiling is 10 ft above the floor. The door is 3 ft by 7 ft. A gallon of paint will cover 78.1 ft2. How many gallons of paint are needed to paint the room (including the ceiling and not including the door). Round your answer up to the next whole number. 4

5 Find the circumference of the circle. Use 3.14 or 22 for as indicated. 7 30) Use 3.14 for yd Solve the problem. Use 3.14 for. 31) Find the area of the circular racetrack. (Round to the nearest foot.) r = 100 ft R = 150 ft Find the perimeter. Use 3.14 for. 32) 4 m 2 m Find the area of the figure. Use 3.14 for. 33) 32 ft 20 ft 47 ft Solve the problem. 34) Find the total surface area of a box 10.1 cm by 15 cm by 16.4 cm. Round to the nearest whole number. 5

6 Solve the problem. Use 3.14 for. Round to the nearest tenth. 35) A cylindrical jelly jar is 3 in. across the top and about 12 in. high. How many cubic inches of jelly could it hold? 36) An exercise ball has a diameter of 3.5 feet. Find the volume. Use the vertical angle property to find the indicated angle measures. 37) In the figure, m 1 = 30 and m 3 = 117. Find m 2, m 4, m 5, and m 6. Complete. 38) 22 yd = in. 39) 45 km = m 40) 414 mm = cm 41) hm = km 42) 24 in. = cm (Round to the nearest hundredth.) 43) 48 km/h = mph (Round to the nearest thousandth.) 44) 9750 lb = T 45) 416 oz = lb Solve. 46) An agricultural company exported 312,000 tons of corn last month. How many pounds of corn is this? Complete. 47) cg = mg 48) 0.09 kg = mg 49) 4 cups = oz 50) gal = qt 6

7 Solve. 51) A medical clinic has 0.3 L of a medication on hand. How many milliliters are on hand? Complete. 52) 144 hr = days 53) 3 hr = sec Use the unpaid balance method to find the finance charge on the credit card account. The last month's balance and any other transactions are given. 54) The previous month's balance was $950. A payment of $370 was made. Charges of $106 for a rental car and $95 for sporting event tickets were made on the card. A camera was returned that cost $69. Use the average daily balance method to compute the finance charge on the credit card for the previous month. 55) Month: April (30 days) Previous month's balance: $950 Interest rate: 21% Date Transaction April 3 charged $103 for phone bill April 12 made payment of $320 April 21 charged $95 for electricity bill April 29 returned $67 for lawn service Solve the problem. Assume that simple interest is being calculated in each case. Round your answer to the nearest cent. 56) Annie's cafe borrows $9200 at 8% for 260 days. Find the total amount that must be repaid after 260 days. (Use a 365 day year.) 57) John Lee's savings account has a balance of $4957. After 27 months, what will the amount of interest be at 4.3% per year? Solve the problem. 58) Brad invests $4100 in an account paying 3% compounded monthly. How much is in the account after 7 months? 59) Andrea Gilford's savings account has a balance of $3694. After 2 years, what will the amount of interest be at 4% compounded quarterly? 7

8 Solve the problem using the table. Monthly Principal and Interest Payment per $1000 of Mortgage 60) What is the monthly payment on a 15-year loan of $80,800 if the annual interest rate is 12%? 61) Constance Hairston obtains a 30-year, $132,600 mortgage at 12% on a house selling for $158,000. Her monthly payment, including principal and interest, is $ How much of the total cost will be interest? 62) Eugene Merzbacher obtains a 20-year, $92,500 mortgage at 11% on a house selling for $113,000. His monthly payment, including principal and interest, is $ How much of the first payment on the mortgage is applied to the principal? Solve the problem. Round to the nearest cent. 63) To start a new business, Eric invests $ each month in an ordinary annuity paying 7% interest compounded monthly. Find the amount in the annuity after 3 years. 64) Mary needs $9000 in 9 years. What amount can she deposit in a sinking fund at the end of each quarter at 4% interest compounded quarterly so she will have her $9000? Find the standard deviation. Round to one more place than the data. 65) 5, 17, 7, 6, 14, 8, 13, 18, 11, 24 Use a z-table to find the specified area. 66) Between the mean and 1.64 deviations from the mean 67) To the left of z = ) To the right of z =

9 A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve. Find the percentage of bulbs that can be expected to last the period of time. Round to the nearest hundredth, if necessary. 69) At least 500 hours 70) Between 290 hours and 540 hours 71) Less than 520 hours Solve the problem. Round to the nearest hundredth, if necessary. 72) Assume that the mean length of a human pregnancy is 268 days with a standard deviation of 9 days. What percentage of human pregnancies do we expect to last no more than 272 days? 73) The average weekly income of teachers in one school district is $750 with a standard deviation of $85. Find the percentage of teachers earning more than $825 a week? 9

10 Answer Key Testname: MAT 110 FINAL EXAM REVIEW 1) 35.6 km 2) 456 times 3) 450 calculators 4) hr 5) 47 cans 6) ) ) ) ) ) $ ) 13.9% 13) $300 14) $ ) 9% 16) 22.5 text messages 17) $77, $45 18) ) 50% 20) ) $582,000 22) 28.6% 23) ) $ ) 160 ft 26) cm 2 27) 45 ft2 28) $ ) 13 gallons 30) yd 31) 39,250 ft2 32) m 33) 947 ft2 34) 1126 cm2 35) 84.8 in3 36) 22.4 ft3 37) m 2 = 33 ; m 4 = 30 ; m 5 = 33 ; m 6 = ) ) 45,000 40) ) ) ) ) ) 26 46) 624,000,000 lb 10

11 Answer Key Testname: MAT 110 FINAL EXAM REVIEW 47) ) 90,000 49) 32 50) 46 51) 300 ml 52) 6 53) 10,800 54) $ ) $ ) $ ) $ ) $ ) $ ) $ ) $358, ) $ ) $30, ) $ ) ) ) ) ) 50% 70) 63.75% 71) 57.93% 72) 67% 73) 18.94% 11