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question:ABC Corporation acquired copyrights on January 1, 2023, for 5,000,000. The copyrights have an estimated useful life of 10 years. On December 31, 2025, the fair value of the copyrights is estimated to be 3,000,000, and the expected future net cash flows are 2,500,000. Calculate the impairment loss (if any) that should be recognized on December 31, 2025.
answer:Carrying amount on December 31, 2025: Cost: 5,000,000 Less: Amortization for 3 years (5,000,000 / 10) * 3: 1,500,000 Carrying amount: 3,500,000 Recoverable amount: 2,500,000 (expected future net cash flows) Impairment loss = Carrying amount - Recoverable amount Impairment loss = 3,500,000 - 2,500,000 Impairment loss = 1,000,000
question:Find the eigenvalues of the given matrix, rounding your answer to three decimal places: [ begin{bmatrix} -3 & 6 & 0 2 & -1 & -5 frac{7}{3} & -3 & 3 end{bmatrix} ]
answer:The eigenvalues of the matrix are {-7.101, 1.642, 4.459}.
question:What are some of the potential drawbacks of increased international trade and deregulation?
answer:* Increased competition can lead to job losses in certain sectors. * Deregulation can lead to market failures if not properly managed. * International trade can increase environmental pollution and resource depletion. * Deregulation can lead to increased inequality if benefits are not distributed fairly. * Increased competition can put pressure on wages and working conditions.
question:Using the same rules of inference as in the original question, derive (P wedge Q) rightarrow R vdash (P rightarrow R) wedge (Q rightarrow R)
answer:1) (P wedge Q) rightarrow R --- premise 2) P --- assumed [a] 3) Q --- assumed [b] 4) P wedge Q --- from 2) and 3) by wedge-I 5) R --- from 4) and 1) by to-E 6) P rightarrow R --- from 2) and 5) by to-I, discharging [a] 7) Q rightarrow R --- from 3) and 5) by to-I, discharging [b] 8) (P rightarrow R) wedge (Q rightarrow R) --- from 6) and 7) by wedge-I Therefore, we have: (P wedge Q) rightarrow R vdash (P rightarrow R) wedge (Q rightarrow R)