Chapter 4 - Exponential Functions - 4.5 The Number e - Exercises and Problems for Section 4.5 - Exercises and Problems - Page 173: 16

a) $Q=100(1.05)^t, \ 162.889$ b) $Q=100 e^{0.05(t)},\ 164.872$

(a) Since the growth rate is not continuous, we have $Q=100(1.05)^t$. At $t=10$ we have $Q=100(1.05)^{10}=162.889$. (b) Since the growth rate is continuous,we have $Q=100 e^{0.05 t}$. At $t=10$ we have $Q=100 e^{0.05(10)}=164.872$.