If a hospital patient is given 100 milligrams of medicine, which leaves the bloodstream at 14% per hour, how many milligrams of medicine will remain in the system after 10 hours? use the function a(t) = iert. 24.66 mg 86.94 mg 90.48 mg 405.52 mg

24.66 mg of medicine will be left.

Step-by-step explanation:

The given exponential equation is,

Where,

A(t) = amount after time t

i = initial amount = 100 mg

r = rate of change = -14% = -0.14 (-ve is taken because the amount is decreasing)

t = time = 10 hours

Putting the values,

The medication is an illustration of an exponential function.

The number of milligrams left after 10 hours is 24.66 mg

The given parameters are:

--- initial milligrams

--- the rate per hour (it is negative, because it reduces the content of the medicine)

--- time

The function is given as:

So, we have:

Hence, the number of milligrams left after 10 hours is 24.66 mg

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