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Find ΔE

   a. when 175 J of work is done on a system that evolves 50 J of heat to the surroundings

   b. when a gas absorbs 28 kJ of heat and has 13 kJ work done on it


Is every onto strictly decreasing function invertible? Justify your answer.

Give two examples (structures) only on 2π, 6π and 10π electron compounds. Show why the compounds are aromatic using the molecular orbital diagram


iii. Travel costs (including petrol)





iv. Cell phone and telephone





v. Other expenses





2. The user shall be able to choose between renting accommodation or buying a property.





3. If the user selects to rent, the user shall be able to enter the monthly rental amount.





4. If the user selects to buy a property, the user shall be required to enter the following





values for a home loan:





a. Purchase price of the property





b. Total deposit





c. Interest rate (percentage)





d. Number of months to repay (between 240 and 360)





5. The software shall calculate the monthly home loan repayment for buying a property





based on the values that the user entered.





6. If the monthly home loan repayment is more than a third of the user’s gross monthly





income, the software shall alert the user that approval of the home loan is unlikely.





7. The software shall calculate the available monthly money after all the specified deductions





have been made

The number of moles of sulphuric acid that is required to react with all of the the barium chloride is: 



Evaluate each of the following functions, find the indicated derivative


1. 𝑓(𝑥) = 𝑥^2 − 4𝑥 + 1; 𝑓′(2)



2. 𝑓(𝑥) = 𝑥^3 + 2; 𝑓′(−2)



3. 𝑓(𝑥) = 2𝑥^4 + 3𝑥^3 − 2𝑥 + 7; 𝑓′(0)



4. f(x) = √2x + 7; f'(1)



5. f(x) = 1 + √x^2 + 3x +6; f'(2)



6. f(x) = x/x+4 ; f'(-3)



7. f(x) = x^2 +3/4 - x^2 ; f'(-1)



8. f(x) = √x + 3/x - 4 ;f'(1)



9. f(x) = 3- √ 5x - 9/2x - 1 f'(2)



10. f(x) = 2x^2 + 3 - 1; f'(-1)



The tons of limestone(CaCO3) needed for the preparation of 5 tons of lime (CaO)



On January 4,2021, Tamara Bakery paid ₱30 million for 1 million shares of jade Company ordinary shares. The investment represents a 20% interest in the net assets of jade and gave Tamara the ability to exercise significant influence over Jade’s operations. Tamara received dividends of ₱1.00 per share on December 15,2021 and jade reported net income of ₱8 million for the year ended December 31,2021. The market value of Jade’s ordinary shares at December 31,2021 was ₱32 per share, on the purchase date, the book value of Jade’s net assets was ₱120 million and the fair market value of Jade’s depreciable assets with an average remaining useful life of six years exceeded their book value by ₱6 million. The remainder of the excess of the cost of the investment over the book value of net assets purchased was attributable to goodwill.


What amount of investment revenue should Tamara report on its income statement for the year ended December 31, 2016, under the fair value method?


Equal volumes of 0.3 M NaNO3 and 0.8 M Ca(NO3)2 solutions are mixed . What is the molar concentration of of nitrate ions in the mixture?

Why is Keynes's analysis speculative demand for money important to his view that velocity will undergo substantial fluctuations and thus cannot be treated as constant?


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