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Question 2 15 Points A present obligation of $30,000 by Jenella Powers is to be repaid in uniform annual amounts over a period of 3 years with interest rate of 15% per annum. Prepare an amortization Schedule. Enter the exact amount value in the box provided. Beginning Balance Interest Payment Ending Balance 30,000 4,500 13,139.31 21,360.69 21,360.69 3,204.10 13,139.31 11,425.45 11,425.48 1,713.82 13,139.31 -0

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1. (K-means clustering) Show that $$\sum_{k=1}^{K} \sum_{i \in C_k} d(X_i, \bar{X}_k) \geq \sum_{j=1}^{K} \sum_{i \in C'_j} d(X_i, \bar{X}'_j),$$ where $d$ is the squared Euclidean distance, $\bar{X}_k \in \mathbb{R}^p$ is the centroid of the cluster determined by $C_k$, $C'_j = \{i : d(X_i, \bar{X}_j) = \min_{k=1,...,K} d(X_i, \bar{X}_k)\}$ and $\bar{X}'_j$ is the centroid of the cluster determined by $C'_j$. Note that this inequality guarantees the convergence of the K-means algorithm. (Hint: writing $C_k = \bigcup_{j=1}^{K} (C_k \cap C'_j)$ is a good starting point).

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Which of the following categories of medications would you not expect to find on a list of High Alert Medications? a. Anticoagulants (cardiovascular agents - e.g., warfarin) b. 0.9% sodium chloride (IV solution) c. narcotics / opioids (e.g.,oxycodone, fentanyl) d. Hypoglycemics (e.g., insulin, oral agents)

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During the development of T cells, there are two critical checkpoints. What are they and how do they work? Where are T cells in the body during these checkpoints? Be sure to indicate whether the developing T cells are double negatives, double positives, or single positives, and the correct progression for expression of the co-receptor. After the 2nd checkpoint, T cells undergo positive and negative selection. Explain how those work and the order that they occur, and where they occur. In that discussion you should mention the function of AIRE and what During the development of T cells, there are two critical checkpoints. What are they and how do they work? Where are T cells in the body during these checkpoints? Be sure to indicate whether the developing T cells are double negatives, double positives, or single positives, and the correct progression for expression of the co-receptor. After the 2nd checkpoint, T cells undergo positive and negative selection. Explain how those work and the order that they occur, and where they occur. In that discussion you should mention the function of AIRE and what happens if it is defectivehappens if it is defective

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A wrestler is thrown to the mat and suffers an open fracture of both the radius and ulna in the forearm. There is significant bleeding from the wound. The patient begins to complain of lightheadedness. His skin is pale and feels cool and clammy and his pulse become rapid and weak. How should you manage these medical emergencies? What potential problem may be developing and how should you manage it?

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What happens to the period of the motion as the mass of the system increases? Explain your answer.

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An epinephrine bath of the heart would definitely decrease the rate of the heart. O True O False