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An election with 4 candidates (A, B, C, D) and 150 voters is to be decided using plurality method. After 120 ballots have been recorded, A has 26 votes, B has 18 votes, C has 42 votes, and D has 34
Assume that Reddy Mikks sells its exterior paint to single wholesaler at the quanity discount. The profit per ton is $5000 if the contractor buys no more than 2 tons daily and $4500 otherwise.
Show directly (that is, by considering the linear combination of the functions) that functions f1(x) = 4, f2(x) = 3?2x^2 and f3(x) = x^2+ 1 are linearly dependent upon the real line. Compute W(f1,
Suggest the curvature at x=0 for each member of the family of functions f(x)=e^(ct). for which members is k(0) largest?
The sales manager had predicted, before the business started, that year 1 's sales would be 410 air conditioners. Using exponential smoothing with weight of a = 0.30, develop forecasts for years 2 t
Reduce the DE [d^2x/ dt^2 = x ^(-1/2)] to an equivalent first-order system and determine in which domain and is the resulting system satisfies a Lipschitz condition.
Determine the difference in the net present values of the two projects if they are calculating using a 5% annual effective interest rate.
Latisha desires to obtain $4000 to pay her college tuition now. She qualifies for the loan with level annual effective discount rate of 3.5% a) how much will she have to repay if the loan term is s
Explain the general relationship (if any) between the shape of a matrix A. the properties of its linear transformation T, and the solutions to the system Ax=b? Illustrate with examples.
You need to borrow $4000 to pay off your credit cards and you can afford monthly payments of $150. The bank provides three choices: a 2-year loan at 8% APR, a 3-year loan at 9% APR, or a 4-year loa
Assume G is a multiplicative group and g element G. The centralizer of g is the set of C_g= {h element G| hgh^(-1) = g}. Prove that C_g is group with law of composition of G. Please do not just cop
A student currently has $16,000 in debt from the student loan with 6% annual interest, If they don't make any payments, how much money will the student owe after five years? Write down a recurrence
Suggest a tetrahedron with following vertices (x,y,z): (2,2,2), (3,2,2), (2,3,2) and (2,2,3). Rotate the tetrahedron about the origin and around the z axis at 45 degrees counter clock wise.
Assume {an} from n=1 to infinity converges to A, and find out a new sequence {bn} from n=1 to infinity by bn=(an+a(n+1))/2 for all n. Prove that {bn} from n=1 to infinity converges to A.
When planning a party you desires to know whom to invite. Among people you would like to invite are three touchy friends. You know that if Jasmine attends, she will become unhappy if Samir is there
An inspector working for manufacturing company has 99% chance of correctly determining defective items and a 0.5% chance of incorrectly classifying a good item as defec- tive. The company has evide
Management of Davis's Department Store has employed time-series extrapolation to forecast retail sales for the next four quarters. The sales estimates are $100,000, $120,000, $140,000, and $160,000
Use the enhanced Euler's technique to approximate the solution to the initial value problem y= x/y, y(0) = ?1 at the point x =0.5, using steps of size h =0.25. Compare your answer with the actual s
Use Secant technique to find out a solution to cos(x)=x, and compare the approximations and convergence rate with those given by the Newton Raphson method.
A spymaster has network of 10 operatives whom he pays out of slush fund containing $32000. For accounting reasons, his service requires him to employ up his whole fund and to pay his operatives in i
Make a tree which models the following condition. A player decides to play maximum of 4 times, betting upon red each time. The player will quit after losing twice. In tree, any possible last plays w
You decide to invest $100,000 in the program that is guaranteed to grow by 2.5% for each of next five years. At the end of the five years, how much is your investment worth?
A cardbord leans against the sphere x^2 +y^2 +(x-3)^2 = 9 at the point (2,-2,4). Determine the equation of the line which is the intersection of the cardbord with the xy-plane, i.e with z = 0.
Describe that every two successive term of the Fibonacci sequence are relatively prime hint (write down the explicit definition by induction of this sequence)
Suggest the linear optimization model Maximize 3A + 4B subject to -A + 2B ? 8 A + 2B ? 12 2A + B ? 16 A, B ? 0 Graph the constraints and identify the feasible region.