15. Taxes affect financial decisions in several ways. From a tax perspective only - which of the following best defines a few of the important issues to keep in mind when making financial decisions for a corporation?

A. When financing, both debt and equity financing provide the same benefits and costs

B. When investing, the best alternative is to invest in equity

C. When financing, the best alternative is to issue equity financing, and when investing the best alternative is to invest in debt investments.

D. When financing, the best alternative is to issue equity

5. For Hemoglobin answer the following: i) Provide the chemical equation for the dissociation of bound hemoglobin-oxygen ii) Write the mathematical definition of the dissociation constant for hemoglobin. iii) Derive the mathematical expression for 0 as a function of po, and Kd. Be sure to show all steps!!!!!grader knows nothing about Mathematics. Pictures all not be sufficient without written explanation. If you are referring to some result or theorem, clearly write its statement and cite. Provide a discussion and a formal proof for each of the following. 1. Use mathematical induction to prove that 3 + 11 + 19 + . .. + (8n -5) = 4n' - n, Vn EN. 2. Use mathematical induction to prove that 21 = 2n+1 - 2, for all n E N. Lsummation 3. Use mathematical induction to prove that II( 1 1 for all n E N. k+1 n +1 TT = 1.2. 3- 4 / TTX = It. 4 k=1 * = 5 IS product 4. Use mathematical induction to prove that 3 | (n' + 5n + 6) for all n E N. 5. Use the generalized mathematical induction to show that n' 6. 6. Use proof by minimum counterexample to prove that 5 | (n' - n) for all n e N. 7. Prove or Disprove. (i) Every even integer can be expressed as the sum of two even integers. (ii) For every two sets A and B, (A UB) - A = B.Which of the following are consequences of money laundering? 1. Can cause predictable changes in money demand I1. Can pose risk to the soundness of financial institutions Ill. Can contaminate legal financial transactions IV. Can increase the volatility of exchange rates due to unanticipated cross-border transfers O II, Ill and IV only O I, II and Ill only O I, II and IV only O 1, 11, Ill, and IV O I, Ill and IV only2. Given the mathematical model @ - (u + 2)+ + (2/ + 5)x =0 (a) Find the values of the parameter / for which the system is i. Stable ii. Neutrally Stable iii. Unstable (b) For the stable case, what the values of the parameter p causes the system to be i. Overdamped ii. Underdamped