Left untreated, algae in a reservoir reproduce at the rate o…

Left untreated, algae in a reservoir reproduce at the rate of 5% per week. Currently, the algae cover one eighth of the reservoir. An algebraic model of this situation is , where  is the percent covered after w weeks. What does 0.125 represent in this situation?

The general equation that models radioactive decay of a subs…

The general equation that models radioactive decay of a substance is , where t is the time in years, H is the half-life, and A(t) is the radioactivity of the substance today. Scientists found bones at an archaeological dig that they hypothesized to be about 7000 years old and used Carbon-14, which has a half-life of 5730 years, to determine the age of the bones. What percent of the present-day radioactivity would the tools emit if the scientists’ hypothesis were true?