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Suppose that the dollar cost of producing x radios is c(x)=400+20x+0.2x2. Find the average cost per radio of producing the first 45 radios.
Does every tree have a vertex of degree 1? If the answer is yes, explain why. If the answer is no, try to find additional conditions that will guarantee that a tree satisfying these conditions has a vertex of degree 1.
Problems Involving a Binomial Distribution About 30% of adults in United States have college degree.
travel 490 miles per hour with the wind 430 miles per hour against the wind, find the speed of the plane in still air.
The price of a home is $167,000. The bank requires a 20% down payment and three points at the time of closing. The cost of the home is financed with a 30-year fixed-rate mortgage at 8%. What is the monthly payment (excluding escrowed taxes and ins..
Use green's theorem to calculate the area of the region between the x-axis and one arch of the cycloid with parametric equations x = a(t - sin t), y = a(1 - cos t).
A Diner served 15 salads during lunch and 27 during dinner.
Calculate the expected number of infants needing neonatal intensive care in a hospital if the historic rate is 5 per 1000 births, and you expect 575 births this year
Solve the given polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs, and possibly the graph of the polynomial function shown by a graphing utility as an aid in obtaining the first root.
Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit.
a pool contains 125 gallons of water every minute an additional 25 gallons of water are added write an equation to describe the function.
Find the number of iguanas present in the island intially and show that the population of iguanas is increasing without bound.
An investment grows by 35% over a 6-year period. What is its effective annual percent growth rate?
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