Answer to Question #121414 in Algebra for queen

Question

A patient takes a pill that holds 50 mg of medicine in it. The pill is metabolized, or used up, at a rate of 55% every hour.
a. Rounded to the nearest hundredth, how much of the pill has been used by the body after four hours?

Answer 1

So 55 % percent is used in every hour

After 1 hour

$55\ \%$ of 50 mg will be used then $\frac{55}{100}\times50=27.5mg$

now we are left with 50-27.5= 22.5 mg

after 2 hours

55 % of 22.5 mg will be used =$\frac{55}{100}\times22.5=12.375 mg$

now we are left with 22.5-12.375=10.125 mg

after 3 hours

we will be left with 4.556 mg

after 4 hours

we will be left with 2.05 mg

total pill consumed = 50-2.05=47.95 mg