6. You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10 mg of caffeine?

7. Nabumetone is a medicine a medicine prescribed to manage osteoarthritis and rheumatoid arthritis. For a particular patient, the amount of nabumetone in the body (in mg) t hours after peak concentration can be modeled by A(t) = 1000(0.9715)t (Source: Modeled from data at www.merck.com).

1. What is the hourly decay rate?

2. How much nabumetone will remain in the body after 12 hours?

3. Find the half-life of nabumetone.