Curt just drank a cup of coffee to him stay awake. the coffee had 130 milligrams of caffeine in it. if his body processes 7% of the caffeine every hour, how much will be left in 4 hours?

97.25 milligrams

Step-by-step explanation:

Given: Curt just drank a cup of coffee to help him stay awake.

The initial amour of caffeine in coffee= 130 milligrams

The rate of decay of caffeine in body = 7%= 0.07

We know that the exponential decay equation with rate r and and time t is given by :-

, where A is the initial value.

Now, the amount of caffeine left in body after 4 hours is given by :-

Hence, after 4 hours 97.25 milligrams will be left.