Functions Involving e (Part 3)

In part 1, a warm-up problem involving compound interest discusses where the number e, the natural number ~2.718, comes from. Other examples show how to simplify expressions with e using exponent rules, and evaluate expressions with e using the calculator. In part 2, exponential growth versus decay is discussed when e is the base (common multiplier), and a number of examples of graphing exponential functions are given. In part 3, continuously compounded interest is discussed: A=Pe^(rt), and an example is shown.

[davidtutorsmath]

@emmawatsonfan2206 Glad it helped. You're very welcome. Thanks for sharing your appreciation.

[davidtutorsmath]

@hijabi102 You're quite welcome! And thank you!

[davidtutorsmath]

@ForgottenStromtroopr You need to use logarithms. Check out the "solving the exponential and logarithmic equations video". In that video, I explain step-by-step how to get the part raised to the t by itself and then take the log of both sides.

[davidtutorsmath]

@9003weman91 Sure enough I did. Thanks for the heads up. Now I just need to figure out how to make a little pop-up box come up at that point in the video.

[ForgottenStromtroopr]

@davidtutorsmath How would you be able to find T without a graphing calculator EX: your last problem #11 part b.