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tigry1 [53]
3 years ago
6

Medicine taken by a patient breaks down and eventually leaves the patient’s system. Suppose a dose of 60 milligrams (mg) of medi

cine is given and it breaks down such that 20% of the medicine becomes ineffective every hour. How much of the 60 mg dose is still active after 3 hours, after 4.25 hours, after hours?
Mathematics
1 answer:
jeyben [28]3 years ago
3 0

Answer:

60*0.8 raised to the t power where t is time

Step-by-step explanation:

60*0.8³=30.72

60*0.8∧4.25=23.24254578

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nirvana33 [79]

We have been given gross domestic product​ (in billions of​ dollars) can be approximated by P(t)=564+t(36t^{0.6}-101).

(a) In this part, we need to compute the derivative of this function:

P'(t)=\frac{d}{dt}(564+t(36t^{0.6}-103))\\P'(t)=\frac{d}{dt}(564)+\frac{d}{dt}(t(36t^{0.6}-103))\\P'(t)=0+57.6t^{0.6}-103\\

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(b) In this part, we need to find the value of P'(45). So, we will substitute t=45

P'(45)=57.6(45)^{0.6}-103\\P'(45)=565.3924-103\\P'(45)=462.39 Billion dollars per year.

(c) P'(45)=462.39 represents that 45 years after 1960, that is, in 2005, the GCP was changing at a rate of 462.39 billion dollars per year.



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