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Under an endowment insurance issued to a life aged x, let X denote the present value of a unit sum insured, payable at the moment of death or at the end of the n-year term.
Under a term insurance issued to a life aged x, let Y denote the present value of a unit sum insured, payable at the moment of death within the n-year term.
Two towns are loacted near the straight shore of a lake. their nearest distances to points on the shore are 1 mi and 1.5 mi respectively, and these points on the shore are 6 mi apart. where should a fishing pier be located to minimize the total pa..
Find a minimum spanning tree of the graph that connects the capital cities of the 50 states in the United States to each other where the weight of each edge is the distance between the cities.
Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.
Consider y''+9y=t^2(cos(3t)+4sin(3t)). This has homogeneous solution C1cos(3t)+C2sin(3t). Use method of undetermined coefficient to find a particular solution.
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
Use differentials to estimate the amount of tin in a closed tin can with diameter 8 cm and height 12 cm if the tin is 0.04 cm thick.
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the ..
A check register shows the current cash balance to be $1,260.40. A check was written after this cash balance date for $193.84. Compute the new cash balance shown in the check register.
Do you generally believe that raising taxes on the rich is an appropriate approach for reducing economic inequality? What level of taxation on the rich do you think is fair? (Note that we will also consider this topic in the next chapter.)
Consider the situation described- A critical dimension (measured in mm) is of interest to the process engineer. Suppose that five fixed positions are used on each wafer (position 1 is the center) and that two consecutive wafers are selected from e..
In January is 21 degree F with a standard deviation of 10 degree. The average high temperature in Honolulu in January is 80 degree.
For the facility location problem, prove that the inclusion PFL⊂PAFL can be strict.
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