The rate of auto thefts doubles every 8 months. (a) Determine, to two decimal places, the base b for an exponential model y = Ab of the rate of auto thefts as a function of time in months. b = (b) Find the tripling time to the nearest tenth of a month. months

In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was measured again to be 9,700. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2013. Round numbers to 3 decimal places as needed. What does your model from above predict the moose population to be in 2022?

If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population increases exponentially.

An investment of $10,000 earns interest at an annual rate of 6.7% compounded continuously. Find the instantaneous rate of change in the amount in the account after 3 years (in dollars per year).  Round to the nearest cent. $                     per year.