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a certain radioactive isotope has a half life of approximately 1050 years. How many years will required for a given of the isotope to decay to 75% of that amount?
The marketing research department for a computer company used a large city to test market their new product. They found that the demand equation was p= 1296-0.12 x^2.
One car is selected at random from the cars with vehicle tags from these cities, What is the probability that this car is from Salem?
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
A spring with a 2 kg mass attached to it has spring constant 8 N/m and no damping. There is an external force given by F(t) = 24 sin 2t N, where t is time. The mass is initially stretched 2 m beyond the equilibrium position and released with an in..
Use of trigonometric ratios to find the distance - Two boats leave the port at the same time.
give the definition for a cauchy sequence of real numbers, prove that every convergent sequence is a cauchy sequence.
Using the regression module of Excel's Add-in Data Analysis, perform 3 simple regressions by regressing overhead costs against each of the proposed independent variables. Show the output for each regression and evaluate each of the regression results..
calculate the probability that a European call option with exercise price E=50 will be exercised at expiration time T=8 months.
A cup of coffee at 181 degrees is poured into a mug and left in a room at 66 degrees. After 6 minutes, the coffee is 139 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-66).
Megan earns $20 an hour plus a $100 daily bonus. She uses a function to calculate her daily earnings. What is the inverse function of Megan's daily earnings function?
The load on this beam and rollers apparatus had to be moved distance 20 units. If the circumgerance of each of the rollers is 0.8 units, how many turns must the rollers make to accomplish the move?
Suppose that men arrive at a ticket counter according to a Poisson process at the rate of 120 per hour, and women arrive according to an independent Poisson process at the rate of 60 per hour. Determine the probability that four or fewer people ar..
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