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1. Marginal revenue. A defense attorney charges her client $4000 plus $120 per hour. The formula R = 120n + 4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work? By how much did the one extra hour of work increase the revenue? (The increase in revenue is called the marginal revenue for the 101st hour.)
2. Single women. The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.
a) Find and interpret the slope of the line through the points (0, 55) and (30, 73).b) Find the equation of the line in part (a).c) What is the meaning of the y-intercept?d) Use the equation to predict the percentage in 2010.e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%?
Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls.
A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger ..
A statement defining any unknown quantities in the problem in terms of variables - How many kilograms of water are in a person with a mass of 50 kg?
The everton College store paid $16.74 for an order of 48 calculators. The store paid $9 for each scientific calculator. The other all graphing calculators, cost the store $555 each. How many of each type of calculator was ordered?
Find the x intercept
Solve the following expression.
Note: You don't have to work 1 - 6 to determine the intervals of the function is Increasing, Decreasing or Constant but you have to use 1 - 6 to determine the domain and the range of each of the functions graphed in Exercises 1 - 6. Please show the s..
Your group will develop four different population scenarios for a town. As a group, you will decide on the name of the town and the initial population.
Solve the following equation
What is the discriminant? When do you use quadratic formula to solve a quadratic equation? What square root property is essential to solve any radical equation involving square root?
Questions on population growth
Solve for the given variable
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