# Precalculus

posted by
**Jimmy** on
.

Suppose 3 mg of a drug is injected into a person's bloodstream. As the drug is metabolized, the quantity diminishes at the continuous rate of 6 % per hour.

Find a formula for Q(t), the quantity of the drug remaining in the body after t hours.

Find approximations to two decimal places for the continuous rate of decay k.

Q(t) =

By what percent does the drug level decrease during any given hour?

Find approximations to two decimal places for the constant percent rate of growth b.

b (in percents) = %

The person must receive an additional 3 mg of the drug whenever its level has diminished to 0.38 mg. When must the person receive the second injection? When must the person receive the third injection?

Find integer approximations for of the second injection time t2 and the third injection time t3 .