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A rental car costs $25 plus a fixed rate charge per mile driven. The total charge for 210 miles of use was $67. Write an equation for the cost, C (in dollars), in terms of the miles driven, x.
Radium-221 has a half-life of 30 sec. How long will it take for 79% of a sample to decay?
Suppose you are at the gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation:
Find the mass that remains after t years.
You're buying a new car that sells for $12006. The state sales tax rate, as a decimal, is .07. How much will the sales tax come to?
The marginal revenue for a certain product is given by dR/dx = 25-2x. Find the change in revenue when sales increase from 7 to 10 units.
Use calculus to determine what the external dimensions of the pen that will maximize the enclosed area.
Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student.
What is the Cartesian product A B C , where A is the set of all airlines and B and C are both the set of all cities in the United States?
A lottery offers one $1000 prize, one $500 prize, five $100 prizes, and ten $10 prizes. One thousand tickets are sold. What should be the price of the ticket if the game is fair?
Calculate probabilites of gettin from 0 to 5 clubs on a hand. What is the probabilty of gettin 2 or fewer cubs of 5 cards?
Then find a particular solution to the non-homogeneous equation.
Integral from zero to infinity of cos(x^2) dx = integral from zero to infinity of sin(x^2) dx = 1/2 * (square root of pi/2).
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