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Assume the initial value of a car is $18,000 and that the car's value depreciates. The value of the car can be modeled with an exponential function, V = Iekt, where V is the value of the car at year t, I is the initial value of the car, and k is a constant. Find the number of years it would take for the value of the car to be half the initial value if k is equal to -0.038. Round the answer to the nearest hundredth
Verify the Gauss' Divergence Theorem and Calculate the single, double and line integral - MATH2000 Find the surface area of S.
Find the largest open intervals on which the function is concave up or concave down. If there is more than one interval, enter your intervals from left to right as they appear on the real line.
Suppose you have 62 feet of fencing to enclose a rectangular dog pen. The function A = 31x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
A rancher wants to fence in 3 adjacent rectangular pens in a row. Adjacent pens share one fence, and all pens are of equal size. If the rancher uses 144 yards of fencing, find the maximum total area he can enclose.
Approximately how far apart are the ends of the two sections when the bridge is fully opened? (Round your answer to the nearest whole number.)
Find the arc radius R and the arc length S given the chord length
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
Find a trinomial that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters
After a sale, the price of a stereo was marked up $35 to a regular price of $310. What was the sale price?
The half-life of a certain radioactive material is 75 days. An initial amount of the material has a mass of 381 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 15 days. Rou..
You are estimating the cost ($K) of optical sensors based on the resolution of the sensor (i.e. how small of an object it can detect). Using the preliminary calculations from a data set of 8 sensors, determine the equation of the line. (Round your..
Write the null and alternative hypotheses
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