Concept explainers
ACHIEVING SUCCESS
According to the Ebbinghaus retention model, you forget 50% of what you learn within one hour. You lose 60% within 24 hours, After 30 days. 70% is gone. Reviewing previously covered topics is an effective way to counteract this phenomenon. From here on, each Exercise Set will contain three review exercises. It is essential to review previously covered topics to improve your understanding of the topics and to help maintain your mastery of the material. If you are not certain how to solve a review exercise, turn to the section and the worked example given in parentheses at the end of each exercise. The more you review the material, the more you retain. Answers to all Retaining the Concepts Exercises are given in the answer section.
Sharks may be scary, but they are responsible for only three deaths worldwide in 2014. The world's deadliest creatures, ranked by the number or human deaths per year, are mosquitoes, snails, and snakes. The number of deaths by mosquitoes exceeds the number of deaths by snakes by 661 thousand. The number of deaths by snails exceeds the number or deaths by snakes by 106 thousand. Combined, mosquitoes, snails, and snakes result in 1049 thousand (or 1,049,000) human deaths per year. Determine the number of human deaths per year, in thousands, by snakes, mosquitoes, and snails. (Source; World Health Organization) (Section 1.3, Example 1)
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EBK ALGEBRA AND TRIGONOMETRY
- Stock Market The week of September 15, 2008 was one of the most volatile weeks ever for the US stock market. The closing numbers of the Dow Jones Industrial Average each day were: What was the overall change for the week? Was it positive or negative?arrow_forwardCell Phone Plans Gwendolyn is mulling over the three cell phone plans shown in the table. Gigabytes GB of data included Monthly Cost Each additional megabytes MB Plan A Plan B Plan C 1 1 1 25.00 40.00 60.00 2.00 1.50 1.00 From past experience, Gwendolyn knows that she will always use more than 1GB of cell phone data every month. aMake table of values that shows the cost of each plan for 1 GB to 4 GB, in 500 MB increments. bFind formulas that give Gwendolyns monthly cost for each plan, assuming that she uses x gigabytes of data per month where x1. cWhat is the charge from each plan when Gwendolyn uses 2.2 GB? 3.7 GB? 4.9 GB? d Use your formulas from part b to determine the number of gigabytes of data usage for which: (i) Plan A and Plan B give the same cost. (ii) Plan A and Plan C give the same cost. (iii) Plan B and Plan C give the same cost.arrow_forwardUsing the model in Example 6, estimate the number of cases of flu on day 15.arrow_forward
- Grade Point Average In many universities students are given grade points for each credit unit according to the following scale: A 4 points B 3 points C 2 points D 1 point F 0 point For example, a grade of A in a 3-unit course earns 43=12 grade points and a grade of B in a 5-unit course earns 35=15 grade points. A students grade point average GPA for these two courses is the total number of grade points earned divided by the number of units; in this case the GPA is (12+15)8=3.375. a Find a formula for the GPA of a student who earns a grade of A in a units of course work, B in b units, C in c units, D in d units and F in f units. b Find the GPA of a student who has earned a grade of A in two 3-unit courses, B in one 4-unit courses and C in three 3-unit courses.arrow_forwardHeart Disease In a certain country, the number of deaths due to heart disease decreased from 235 in one year to 221 in the next year. What percentage decrease in deaths due to heart disease does this represent?arrow_forwardUse the model we created using technology in Example 6 to predict the gas consumption in 2011. Is this aninterpolation or an extrapolation?arrow_forward
- Box Office Hits The table below shows the highest grossing movie of the given year. The amount is the domestic box office gross, in millions of dollars. Year Movie Amount(millions) 2006 Pirates of the Caribbean: Dead Mans chest 423.32 2007 Spider-Man 3 336.53 2008 The Dark Knight 533.35 2009 Avatar 760.51 2010 Toy Story 3 415.00 2011 Harry Potter and the Deathly Hallows: Part 2 381.01 2012 The Avengers 623.28 2013 The Hunger Games: Catching Fire 424.67 2014 American Sniper 350.13 Let M=M(y) denote the highest grossing movie in year y, and let B=B(y) denote the gross for that movie. a. Give the values of M(2014) and B(2014). b. Use the functional notation to indicate the amount for the movie with the highest gross in 2013.arrow_forwardDetermine the market potential for a product that has 20 million prospective buyers who purchase an average of two per year and price averages $50. How many units must a company sell if it desires a 10% share of this market?arrow_forwardOur company's new widget has been growing in sales. The histogram below shows sales in millions for the years shown. 40- 30 20 10 2001 2002 2003 2004 2005 Millions of Widgets Sold Approximately how many millions of widgets were sold in year 2003?arrow_forward
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