 # 22 Algebra Questions

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Use the nutritional information about candy bars given in the table to answer the questions. (a) What is the mean calories from fat? (Round your answer to the nearest hundredth.) calories (b) What is the median (in grams) of total fat? g (c) What is the mode (in grams) of the serving size? (If an answer does not exist, enter DNE.) g 2. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Find the monthly payment for the loan. (Round your answer to the nearest cent.) \$700 loan for 12 months at 10% \$ 3. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Evaluate the expression. 110P1 4. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Sketch the graph of the equation. y = 1 5 x2 5. –/10 points. Ask Your Teacher My Notes Find a simplified value for x by inspection. Do not use a calculator. (a) log7 49 = x x = (b) log2 4 = x x = (c) log3 27 = x x = (d) log4 256 = x x = 6. –/10 points. Ask Your Teacher My Notes Assume the car can be purchased for 0% down for 60 months (in lieu of rebate). A car with a sticker price of \$42,050 with factory and dealer rebates of \$5,100 (a) Find the monthly payment if financed for 60 months at 0% APR. (Round your answer to the nearest cent.) \$ (b) Find the monthly payment if financed at 2.5% add-on interest for 60 months. (Round your answer to the nearest cent.) \$ (c) Use the APR approximation formula to find the APR for part (b). (Round your answer to one decimal place.) % (d) State whether the 0% APR or the 2.5% add-on rate should be preferred. 0% APR 2.5% add-on rate 7. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 3 –/3.33 –/3.33 –/3.34 Total –/10 Suppose that you toss a coin and roll a die. The sample space is shown in the figure below. (a) What is the probability of obtaining tails and a four? (Enter the probability as a fraction.) (b) What is the probability of obtaining tails or a four? (Enter the probability as a fraction.) (c) What is the probability of obtaining heads and a two? (Enter the probability as a fraction.) 8. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Find the number of decibels for the power of the sound given. Round to the nearest decibel. A rocket engine, 2.5 10−5 watts/cm2 dB 9. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Graph the line through the given point and with the given slope. (1, −3); m = − 1 5 10. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 3 4 5 –/2 –/2 –/2 –/2 –/2 Total –/10 Tell what the output value is for the function machine for the given values. (a) 5 (b) 10 (c) −7 (d) 5 2 (e) t 11. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 3 4 –/2.5 –/2.5 –/2.5 –/2.5 Total –/10 Solve each exponential equation. Give the exact value for x. (a) 7x = 1 49 x = (b) 5x = 8 x = (c) 6x = 4.5 x = (d) 4x = 5 x = 12. –/10 points. Ask Your Teacher My Notes An oil-drilling company knows that it costs \$25,000 to sink a test well. If oil is hit, the income for the drilling company will be \$475,000. If only natural gas is hit, the income will be \$125,000. If nothing is hit, there will be no income. If the probability of hitting oil is 1/40 and if the probability of hitting gas is 1/20, what is the expectation for the drilling company? \$ Should the company sink the test well? Yes No 13. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 When a person in California renews the registration for an automobile, the bar graph shown below is included with the bill. Use this bar graph to answer the question. The following statement is included with the graph. There is no safe way to drive after drinking. These charts show that a few drinks can make you an unsafe driver. They show that drinking affects your BLOOD ALCOHOL CONCENTRATION (BAC). The BAC zones for various numbers of drinks and time periods are printed in white, gray, and red. HOW TO USE THESE CHARTS: First, find the chart that includes your weight. For example, if you weigh 160 lbs., use the "150 to 169" chart. Then look under "Total Drinks" at the "2" on this "150 to 169" chart. Now look below the "2" drinks, in the row for 1 hour. You'll see your BAC is in the gray shaded zone. This means that if you drive after 2 drinks in 1 hour, you could be arrested. In the gray zone, your chances of having an accident are 5 times higher than if you had no drinks. But if you had 4 drinks in 1 hour, your BAC would be in the red shaded area . . . and your chances of having an accident 25 times higher. Suppose that you are over 18 years of age, weigh 195 pounds and have two drinks in 2 hours. According to the figure, are you seldom illegal, maybe illegal, or definitely illegal? seldom illegal maybe illegal definitely illegal 14. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Graph the first-degree inequality in two unknowns. y ≥ 0 15. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Solve the equation by finding the exact solution. ln x − ln 3 = 15 x = 16. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 –/5 –/5 Total –/10 Suppose that people's heights (in centimeters) are normally distributed, with a mean of 170 and a standard deviation of 5. We find the heights of 80 people. (You may need to use the standard normal distribution table. Round your answers to the nearest whole number.) (a) How many would you expect to be between 170 and 180 cm tall? people (b) How many would you expect to be taller than 178 cm? people 17. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 3 –/3.33 –/3.33 –/3.34 Total –/10 Use the definition of logarithm to simplify each expression. (a) log10 10 (b) log10 100 (c) log10 10−2 18. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 3 4 –/2.5 –/2.5 –/2.5 –/2.5 Total –/10 Find three ordered pairs that satisfy the equation. y = x + 7 (x, y) = 0, (x, y) = 1, (x, y) = 2, Use this information to graph the line. 19. –/10 points. Ask Your Teacher My Notes Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or combination notation, if possible, and, finally, answer the question. In how many ways can seven books be arranged on a bookshelf? ways 20. –/10 points. Ask Your Teacher My Notes The probability of drawing a heart from a deck of cards is 1 4 ; what are the odds in favor of drawing a heart from an ordinary deck of cards? 21. –/10 points. Ask Your Teacher My Notes Question Part Points 1 2 3 –/3.33 –/3.33 –/3.34 Total –/10 If f(x) = x2 + 2, find the following. (a) f(−3) (b) f 3 2 (c) f(b) 22. –/10 points. Ask Your Teacher My Notes Question Part Points 1 –/10 Total –/10 Find the future value, using the future value formula and a calculator. (Round your answer to the nearest cent.) \$752 at 5.5% compounded quarterly for 3 years

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