3. [-/1 Points] DETAILS Obtain an exponential function in the form A(t) = As". HINT [See Example 5.] F(t) is the value after t years of a $9,000 investment earning 10% interest compounded continuously. F(t) = 4. [-/1 Points] DETAILS How long, to the nearest year, will it take an investment to triple if it is continuously compounded at 8% per year? 5. [-/2 Points] DETAILS The rate of auto thefts triples every 7 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 doubling time to the nearest tenth of a month. months1. [-/2 Points] DETAILS The values of two functions, fand g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. (If an answer does not exist, enter DNE.) X -2 0 2 F(x) 0.18 D.9 4 5 22.5 112.5 g(x) 16 1 A(x ) = g(x) = 2. [-/1 Points] DETAILS Model the data using an exponential function f(x) = Ab*. 1 2 f( x) 600 180 54 F(x) =