50 Chapter 1 Real Numbers and Algebraic Expressions d. Twice the sum of 7 less than a number e. The ratio of four times a number and 3 f. Six less than one-fourth of a number g. One less than four times a number is 9. h. A number plus 1 is less than the product of 6 and the number. 12. Write an expression that represents the unknown quantity and/or write an equation that represents the situation. a. On average, a person with a master’s degree earns $31,900 more per year than a high school graduate. If x represents the average yearly income of a high school graduate, write an expression that represents the average yearly income of a person with a master’s degree. (Source: http://www.earnmydegree.com/onlineeducation/ learning-center/education-value.html) b. Nikki invests $10,000 in two different accounts. If x represents the amount she invested in one account, write an expression that represents the amount invested in the second account. c. Dexter has a collection of nickels and dimes. He has 6 more dimes than nickels. i. If x represents the number of nickels, write an expression for the number of dimes he has collected. ii. Write expressions for the value of the nickels and the value of dimes in dollars. iii. If Dexter’s collection is worth $10.20, write an equation that represents the total value of the collection. 13. Solve each problem. a. There are 20 countries in the world that have either negative or zero natural population growth. A negative or zero natural population growth means that a country has more deaths than births or an even number of deaths and births. As of March 2011, Japan is the only non-European country on the list. It has a 0% natural birth increase and is expected to lose 21% of its population by 2050 (shrinking from 127.8 million to 100.6 million in 2050). What is the difference in the current population and the population in 2050? (Source: http://geography.about.com/ od/populationgeography/a/zero.htm) b. If $1,000,000 is invested in a trust fund account that earns 4.5% annual interest for 17 yr, the amount in the account at the end of the 17 yr is given by 1,000,000(1.045)17. Simplify this expression to determine the amount of money that would be in the account after 17 yr. Round to the nearest hundredth. c. Based on a Federal Reserve Statistical Release, the amount of consumer credit in billions of dollars x years after 2005 can be modeled by -16.14x3 1 60.32x2 + 56.25x + 2290. Use this model to determine the amount of consumer credit in 2012. (Source: http://www.federalreserve.gov/releases/g19/ Current/)
hendricks_intermediate_algebra_1e_ch1_3
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