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2020 AMC 12B Question 22

AMC12 · 2020 AMC 12B

Question 22

What is the maximum value of

$$
\frac{(2^t - 3t)\,t}{4^t}
$$

for real values of $t?$
  1. $\dfrac{1}{16}$
  2. $\dfrac{1}{15}$
  3. $\dfrac{1}{12}$
  4. $\dfrac{1}{10}$
  5. $\dfrac19$