Difference between revisions of "AMC 12C 2020 Problems"

Revision as of 12:46, 21 April 2020

What is the sum of the solutions of the equation $(x + 4)(x - 5)(x + 6) = 0$ ?

$\textbf{(A)}\ -5 \qquad\textbf{(B)}\ 0 \qquad\textbf{(C)}\ 5 \qquad\textbf{(D)}\ 12 \qquad\textbf{(E)}\ 14$

What is the numerical value of the sum $\sum_{k = 1}^{11}(i^{3} + i^{2})$

$\textbf{(A)}\ 4000 \qquad\textbf{(B)}\ 4608 \qquad\textbf{(C)}\ 4862 \qquad\textbf{(D)}\ 5792 \qquad\textbf{(E)}\ 6100$

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	What is the numerical value of the sum <math>\sum_{k = 1}^{11}(i^{3} + i^{2})</math>		What is the numerical value of the sum <math>\sum_{k = 1}^{11}(i^{3} + i^{2})</math>
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	<math>\textbf{(A)}\ 4000 \qquad\textbf{(B)}\ 4608 \qquad\textbf{(C)}\ 4862 \qquad\textbf{(D)}\ 5792 \qquad\textbf{(E)}\ 6100</math>		<math>\textbf{(A)}\ 4000 \qquad\textbf{(B)}\ 4608 \qquad\textbf{(C)}\ 4862 \qquad\textbf{(D)}\ 5792 \qquad\textbf{(E)}\ 6100</math>