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A candidate for mayor in a small town has allocated $40,000 for last-minute advertising in the days preceding the election. Two types of ads will be used: radio and television. Each radio ad costs $200 and reaches an estimated 3,000 people. Each television ad costs $500 and reaches an estimated 7,000 people. In planning the advertising campaign, the campaign manager would like to reach as many people as possible, but she has stipulated that at least 10 ads of each type must be used. Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
A boat's crew rowed 9 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 3 hours. Find the crew's rowing rate in still water and the rate of the current.
Prove that an interior angle bisector of any triangle divides the side of the triangle opposite the angle into segments proportional to the adjacent sides.
What is a mathematical model? Explain in your own words. What are some examples of mathematical models that we can use when working with quadratic functions?
An item costs $1300, has a scrap value of $100, and a useful life of six years. The linear Equation relating book value and number of years is:
You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
A flu epidemic hits a large city. Each resident of the city is either sick, well, or a carrier. The proportion of people in each of these categories by age is given by the matrix:
At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?
Important information about Sets, Counting & Probability : Combinations, How many poker hands consist of four clubs and a card of a different suit?
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
What is the expected value of the sweepstakes for any individual? (Round to the nearest cent)
Find the rule for a function that computes the area of the triangle as a function of x. Describe the largest possible domain of this function.
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
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