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Vikki [24]
3 years ago
10

A store buys a pack of gum for 33 cents per pack from their supplier. How much would 12 packs cost?

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0
12 packs would cost $3.96 if you multiply .33 and 12<span />
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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

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Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

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The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
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