GIVING BRAINLIEST A medical team has found that the blood concentration of a particular medicine has a decay rate of 40% in 24 h
ours. How much of an initial dose of 1,000 mg of the medicine will be detected after 48 hours? Round to the nearest mg
920 mg
200 mg
449 mg
360 mg
600 mg
1 answer:
Answer:
360 mg.
Step-by-step explanation:
The medicine has a decay rate of 40% in 25 hours, which means after 24 hours its amount will be 100% - 40% = 60% it's original value.
Let us call
the number of hours passed and
the number of 24-hours passed, then we know that
.
Now, the amount
of medicine left after time
(<em>d</em>th 24-hour) will be

and since
, we have

We now use this equation to find the final amount after
:



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