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What is the pH of a buffer solution prepared by dissolving 0.075 moles of the weak base, aniline (C₆H₅NH₂), and 0.045 moles of a salt of its conjugate acid, anilinium chloride (C₆H₅NH₃Cl), in a total buffer volume of 1.00 liters?  

Initial pH of buffer solution is:

What will the pH be after 0.012 moles of HNO₃ are added?  This addition does not change the total volume of the solution. 

Consider the following utility functions, where W is wealth:

(a) U(W) = W2

(b) U(W) = 1 W

(c) U(W) = −W

(d) U(W) = W

(e) U(W) = ln(W)

(f) U(W) = W1−γ 1 − γ , with γ = 2

How likely are each of these functions to represent actual investor preferences? Why?

What is kinetic energy and how is it important in life?

Use Lagrange multipliers in the following problems.

Find the rectangular box with a volume of 16ft^3 that has minimum suface area.

Hailey, Inc., has sales of $19,610, costs of $9,420,depreciation expense of $2,090, and interest expense of $1,580.Assume the tax rate is 30 percent.

What is the operating cash flow, or OCF?

Benson Inc has sales of $39580 costs of $13020, depreciation expense of $2670, and interest expense of $1940. The tax rate is 23 percent.

What is the operating cash flow?