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The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by
A(t) = 0.23te−0.4t (0 ≤ t ≤ 12).†

(a) What is the percentage of alcohol in a person's bloodstream after 12 hr? (Round your answers to three decimal places.)

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sqdancefan

Answer:

  (a)  0.023%

Step-by-step explanation:

Fill in the given number and do the arithmetic.

  A(12) = 0.23·12·e^(-0.4·12) ≈ 0.0227 ≈ 0.023

The percentage of alcohol in the blood 12 hours after the drink is about 0.023.

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