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Harper takes 623 milligrams of an antibiotic. Every hour, her body breaks down 13% of the drug. How much will be left after 6 hours?If necessary, round your answer to the nearest tenth.

Sagot :

Harper takes 623 milligrams of an antibiotic.

Every hour, her body breaks down 13% of the drug.

First hour : 13 % of the total.

[tex]\begin{gathered} 13\text{ \% of 623 milligrams} \\ \frac{13}{100}\times623=80.99\text{milligrams} \end{gathered}[/tex]

After six hours , the body would have break

multipy the first hour result by six

[tex]80.99\times6=485.94milligrams[/tex]

How much will be left after 6 hours, subtract the result from the total:

[tex]623-485.94=137.06\text{milligrams}[/tex]

Therefore the antibiotics left will be 137.1 milligrams to the nearest tenth.

[tex]137.1\text{milligrams}[/tex]