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The total cost C(q) of producing q goods is given by: C(q)=0.01q^3 - 0.6q^2 +14q.
What is the maximum profit if each item is sold for 10 dollars? (Assume you sell everything you produce.)
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
Find the x, y-intercept of the linear function 2x - 3y = 12. Solve for a: b-3a = a+5
Consider the curve 5x3+8xy+5y2 = 45. Use implicit differentiation to calculate the derivative dy/dx. Hence determine the point/s which has/have a horizontal tangent.
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
the engine of a sports car rotates at 5000 revolutions per minute. calculate the angular speed of the engine in radians persecond, given 2TT radians = 1 revolution
a company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 60ft^3. what dimensions yield the minimum surface area?
Consider English alphabets, how many 5 letters words can be form, if the 2nd letter can NOT be (B,D,E), 4nd letter must be (A,N) and the letter must not repeated.
Facebook reports that the average number of Facebook friends worldwide is 175.5 with a standard deviation of 90.57. If you were to take a sample of 25 students, what is the probability that the mean number Facebook friends in the sample will be 19..
For IEEE 754 single precision floating point, write the hexadecimal representation for -1.0
Cassandra bout an antique dresser for $500. If the value of her dresser increase 6% annually, what will be the value of Cassandra dresser at the end of 3 years?
The length of a rectangle is 5 cm longer than twice the length of the width. If the area of the rectangle is 403 square centimeters, what is the width?
Two boxes of brazils are mathematically similar, their lengths are 12cm and 24cm. The surface area and volume of the smaller box are 250cm2 and 240cm2 respectively.
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