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In October 2005, a family's gasoline consumption is 35 gallons per month and is increasing at a rate of 2.5 gallons per month.
The price of gasoline is 300 cents per gallon and is increasing at a rate of 10 cents per month.
Calculate the rate at which the family's monthly gasoline bill is increasing at this time. Give your answer correct to the nearest cent per month.
Hint: write the family's monthly gasoline consumption as the function f (t) and the price of gasoline as the function g (t). What is the family's monthly gasoline bill in terms of the functions f and g?
Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (there should be a primary and a secondary equation)
Could you give me one of your concise explanations with examples as to how to use them? I am struggling with the abstract aspects of this concept.
If t=0 at the start, for what values of t will the velocity of the particle A exceed the velocity of particle B.
Although his height is only 5 ft 7 in., Spud Webb, formerly of the Sacramento Kings, had a vertical leap of about 44 in. What is his hang time?
how many cubic inches of ice cream can an ice cream cone hold within the cone if its height is 4 inches and the
Find number of ways using permutation
Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..
Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the distribution of weights has a Normal distribution with mean 40 grams and a standard deviation 2 grams. Quality control inspectors randomly select 16 parts, weigh each,..
The mean weight of loads of rock is 43.0 tons with a standard deviation of 12.0 tons. If 9 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 38.60 tons. Assume that the variable is ..
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If each ton of rock costs $70, each plant is $20, and each tree is $74, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve.
They use 175 feet of fencing, the long side is not more than half of the total fencing, and the total area in the garden is 1711 square feet. What are the dimensions of the garden?
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