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Nat2105 [25]
3 years ago
7

(PLEASE HELP ILL MARK BRAINLY)

Mathematics
1 answer:
expeople1 [14]3 years ago
4 0

Answer:

a). Max will have to pay $4,238.50

b).He can deduct $392

c). Max will pay $3,814.65 with discount and sales tax

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The population of bacteria in a culture doubles every 14 hours. How long will it take for
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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

22\ hours + \bigg[\dfrac{19}{100}=\dfrac{x}{60}\bigg]\\\\22\ hours + 11\ minutes

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??? I don't quite understand pls explain better

Step-by-step explanation:

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