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Difference between revisions of "AMC 12C 2020 Problems"

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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>
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==Problem 3==
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A field in the shape of a circle on the real <math>xy</math> plane is centered at <math>(5, 6)</math> and has a radius of <math>8</math>. The entire field is planted except for the part that is under the line <math>y = 0</math>. What fraction of the circular field is planted?

Revision as of 12:49, 21 April 2020

Problem 1

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


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


Problem 2

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


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


Problem 3

A field in the shape of a circle on the real $xy$ plane is centered at $(5, 6)$ and has a radius of $8$. The entire field is planted except for the part that is under the line $y = 0$. What fraction of the circular field is planted?

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