In Problems
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Additional Math Textbook Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Calculus Volume 1
Probability and Statistics for Engineers and Scientists
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
Mathematics All Around (6th Edition)
Mathematics with Applications In the Management, Natural and Social Sciences (11th Edition)
- In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The table shows the number of inches of rainfall and the yield (in bushels per acre). Use for problem #17 and #18. Rainfall (in inches), x 9.8 8.1 12.7 11.8 18.1 9.6 6.3 14.9 15.3 Yield (bushels per acre), y 48.5 44.2 56.8 57 80.4 47.2 29.9 74 76.8 17. Compute the linear correlation coefficient between the two variables above. (Round to thousandths.) 18. Determine whether a linear relation exists. (Show work to justify answer.)arrow_forwardQuestion 6 of 16 Ali, the CEO of a manufacturing company, decided to expand the product offering of his business to include the manufacture of a specific model automotive unit. To include this product, his business would incur fixed costs of $365,000 per year and variable costs of $6 per unit. He plans to sell each unit for $88. a. Calculate the number of units he would have to manufacture to break even. Round up to the next whole number b. While manufacturing the unit, he realized that an additional fixed cost of $3,000 per year was required, and also realized that to be more competitive in the market he had to drop the selling price by 20%. What is the new break-even volume? Round up to the next whole numberarrow_forwardUsing Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be described by the equation C = 0.068 + 1.8t + 96 where t is the number of years past 2010. With 2012 as the reference year, a year in which the CPI = 120.56 means goods and services that cost $100.00 in 2012 are expected to cost $120.56 in that year. Find the year in which the CPI is predicted to reach 150.00.arrow_forward
- I'm stuck on this problem, if someone could provide an explanation on how to correctly solve (please show your work), it would help me understand it better. Thank you.arrow_forwardSet up an equation and solve each of the following problems. An inlet pipe can fill a tank (see Figure 4.1) in 10 minutes. A drain can empty the tank in 12 minutes. If the tank is empty, and both the pipe and drain are open, how long will it take before the tank overflows?arrow_forwardProblem 23. Suppose that you drive 25,000 miles per year and gas averages $3.80 per gallon. What will you save in annual fuel expenses by owning a hybrid car averaging 40 miles per gallon rather than an SUV averaging 12 miles per gallon? Write your final answer in the blank, but show all your work.arrow_forward
- Write an equation relating the variables in each of the following situations. a. The pay P for t hours at $17 an hour. b. The total pay P for a day of t working hours on which you charge a base rate of $26 and $19 for each hour worked. c. The total pay P for t hours at $20 for the first hour and $14 for each additional hour.arrow_forward3. Answer the following: (i) If the present age of a girl is x years. (a) What will her age be after 7 years? (b) What was her age 5 years ago? (c) Her father's age is 1 more than 6 times her age. Find her father's age. (d) Mother is 2 years younger than her father. What is her mother's age?arrow_forwardQuestion 2 Ana and Beverly, produce the same product on identical machines. Ana receives $25 per hour and produces 100 units per hour. Beverly is able to produce 140 units per hour. The machine rate or cost of operation used by them is $100 per hour. The cost per piece of Ana's product is $ Blank 1 per piece. The hourly wage of Beverly in order that her cost per piece will equal that of Ana is $ Blank 2 per hour. Note: No need to type the UOM (Unit of Measure). Show answer (round off) to two decimal places. Blank 1 Add your answer Blank 2 Add your answerarrow_forward
- Problem 3: Sam is interested in buying a TV but knows they will have to sell it in 5 years. If Sam buys an LG TV, they know it will decrease in price by $15 per year on average. If Sam buys a Samsung TV, they know it will decrease in price by 10% per year on average, Both TV's cost $899.99 to buy now. Which TV will be worth more after 5 years, and by how much? 5arrow_forwardOn the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same? Men: - 244x + 2y = 55,562 Women: - 859x + 3y = 46,012 The median income of men and women will be the same in the yeararrow_forwardThe Amazon rainforest covered 5.44 million square kilometers in 2014.In 2014, it covered only 0.85 times as much area as it covered in 1994. How much area, in millions of square kilometers, did the Amazon rain forest cover in 1994?arrow_forward
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning