1. 3.5 Exponential and Logarithmic Models n compoundings per yearContinuous Compounding

2. An investment is made in a trust fund at an annual percentage rate of 9.5%, compounded quarterly. How long will it take for the investment to double in value? Divide by P Take the ln of both sides. Move the 4t out front.

3. Do the same example using compounding continuously. 2P = Pe.095t 2 = e.095t ln 2 =.095t Time to Double for Continuous Compounding Rate needed to Double for Continuous Compounding

4. Carbon 14 C 14 has a half-life of 5,730 years. If we start with 3 grams. How many grams are left after a.1,000 years b.10,000 years Decay and Growth are modeled after the equation: A = Ce kt C = the initial amount k = rate of growth or decay t = time First, we need to find our rate k. Note: it takes 5,730 years for 1 g to become a half a g.

5. a. b.