Provincial Inc. reported the following before-tax income statement i.pdf

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Provincial Inc. reported the following before-tax income statement items: Operating income $500,000 Extraordinary loss 94,000 Extraordinary gain 44,000 Provincial has a 25% income tax rate. Provincial would report the following amount of income tax expense as a separate item in the income statement: $23,500. $11,000. $125,000. $112,500. Solution.

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provide an example from personal experience or from the literature illustrating how groundwater pumping on drawdown of the water table both locally and at the valley scale may have led to an alteration of downstream flows or to adverse effects on some other component of this system. What properties of the aquifer/surface water system may have made this system more susceptible to such change? Solution Let us understand first the concept of ground water pumping:The water that enters the earth strata gets collected beneath earth to a level that level is called water table , It is measured is metres.The water is infiltrated through the phreatic line.In todays world we are using underground water in excess this has led to deepening of water table level.The aquifier is affected by both locally as construction activities dont let water to infilitritate, Loweing of water is a phenomena occured due to this adverse effect, This also results in increase in TDS of water and also salt water comes to the surface . The properties of aquifier / surface system that make this worse are :Surface water bodies generally gain water and solutes from ground water this phenomena increase the impact of lowering of water table.The excessive use of water in a state leads to water level lowering A vertical section of flow field indicates how potential energy is distributed beneath the water table inthe ground water and surface water. The quantity of ground water discharge to surface water bodies can be determined for a known cross section by multiplying the Hydraulic gradient.The soil properties alos make it more susceptible to drawdown of water table.Perneability is measure of movement of water that also makes a large impact on the drawdown as example sand is more permeable than clay because pore space between sand grains are larger than particles of clay. Transpiration by plants also affects the drawdown condition to increase. Now the interaction between in three basic ways : stream gain water from stream (whic increases drawdown)They both gain and lose but when drawdown is high it impacts the underground water adversely..

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Provide an appropriate response. The finalists in an essay competition are Lisa (L), Melinda (M), Ben (B), Danny (D), Eric (E), and Joan (J). Consider these finalists to be a population of interest. The possible samples (without replacement) of size two that can be obtained from this population of six finalists are as follows. L,ML,BL,DL,EL,JM,BM,DM,EM,JB,DB,EB,JD,ED,JE,J If a simple random sampling method is used to obtain a sample of two of the finalists, what are the chances of selecting Lisa and Danny? Solution 1/16.

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Prove this identity by making a combinatorial proof, that mean to make a counting argument using photos and/or committees. Solution THE LHS = 0*nC0 + 1*nC1 + 2*nC2 + ... + n*nCn THE RHS = Notice the n is counting the total number of subsets we have from the LHS Furthermore notice that we are also counting all possible subsets. For example nC1 counts all 1 element subsets from a set of n elements. nC2 counts all 2 element subsets from a set of n elements. It is known that for any set with n element that there are 2^n subsets. Why? Well, the most logical way to think about this is saying for each object in the set we can either include it in the subset or not include it. So 2 options for each of n elements is 2 * 2 * 2 ... * 2 (n times) = 2^n. So why do we have 2*n-1 on the RHS? Well as you can see we aren\'t counting the empty set on the LHS because of the 0 * nC0 = 0 Thus, we have shown that the LHS and the RHS count exactly the same thing. This completes the proof..

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