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valentina_108 [34]

3 years ago

9

A half of a class and a half of a student got A on a test. If yet another student got an A, then two-thirds of the class would h

ave an A for the test! How many students are there in that class? Please Help!

1 answer:

Cerrena [4.2K]3 years ago

6 0

Answer:

21

Step-by-step explanation:

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<u>Step-by-step explanation:</u>

$P=P_o\cdot e^{(kt)}\\\\\text{Since the initial population is doubled in 14 hours, then:}\\2P_o=P_o\cdot e^{k\cdot 14}\\2=e^{14k}\\ln\ 2=ln\ e^{14k}\\ln\ 2=14k\\\\\dfrac{ln\ 2}{14}=k\\\\0.0495=k\\\\\\\text{Now that the k-value has been determined, we can find the time when the}\\\text{population is tripled:}\\3P_o=P_o\cdot e^{0.0495t}\\3=e^{0.0495t}\\ln\ 3=ln\ e^{0.0495t}\\ln\ 3=0.0495t\\\\\dfrac{ln\ 3}{0.0495}=5\\\\22.19=t\\\\22\ hrs +0.19\ hrs$

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Step-by-step explanation:

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