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Prove that ((𝑝 → 𝑞) ⋀ ¬𝑞 ) → ¬𝑝 ) it’s tautology without using truth table?


According to supply side theorists, the aggregate supply curve will shift to the right when?


Use the saving-investment diagram to analyze the effects of the following on national saving, investment, and the real interest rate. Explain your reasoning.

 

a. Consumers become more future-oriented and thus decide to save more The government introduces an investment tax credit (offset by other types of taxes, so total tax collections remain unchanged).

b. A large number of accessible oil deposits are discovered, which increases the expected future marginal product of oil rigs and pipelines. It also causes an increase in expected future income.

 

Find the value of m for which the system of equations

x - 2y + z = 0,

-2x - y + 3z = 0

y + z = m 

has only trivial solution.


The ability to work with information in order to solve problems is called what?

Find the class boundaries, midpoints, and size for each class.

(a)  32 – 38

(b)  86 – 104

(c)  895 – 905

(d)  12.3 – 13.5

(e)  3.18 – 4.96 



The temperature of an ideal gas remains constant while the absolute pressure changes from 100 kpa to 800 kpa. If initial volume is 100 liters, what is the final volume in liters?



given the demand function p=1000-Q express TR as a function of Q and hence sketch a graph of TR against Q. What values of Q maximizes total revenue, and what is the corresponding price?



Neurons send ____ in response to stimuli. 




Mabel borrowed an amount of money from her father. The loan will be paid back by means of R25000 each every second six month for six years. An interest rate of 7.5% per year,compounded every two months,will be applicable. The amount of the loan is?

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