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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 identical asteroids travel through space side by side while touching each other.nbsp if the asteroids are composed
judy and her 2 friends bought a raffle ticket at the school fund raiser. they agreed that if they won they would share
the members of a flying club plan to share equally the cost of a 200000 airplane. the members want to find five more
Find the solution for y
Finding the combinations
Describe the span of the given vectors in terms of the coefficients x, y, z of a general vector b= (x,y,z) in the span. Write b as a linear combination of the given vectors. Question. a1=(3, -6, 3), a2=(-3, 5, 6), a3=(3, -7, 12)
Solve these questions in detail - Domains of Rational numbers.
Find the equation for each of the following items below- A line that passes through (6,2) and has a slope of 2. A line that passes though the points (2,4) and (8,16) and A circle with a radius of 9 and a midpoint at (3,3).
Apply properties of logarithms to increase logarithmic expression.
solving systems of equations by
Sketch the given region R and then find its area: R is the region bounded by the lines y = x, y = -x, and x = 1. R is the region bounded by the x axis and the curve.
Simplify the expression and write your answer as a fraction in lowest terms - Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary.
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