Chapter 9 - Section 9.6 - Exponential Growth and Decay; Modeling Data - Exercise Set - Page 740: 8

a. $A=3.2e^{0.0264t}$ b. $2040$

$A=A_{0}e^{kt}$ a. For $A_{0}=3.2, A=12, t=50$ $12=3.2e^{50k}$ $3.75=e^{50k}$ $\ln 3.75=50k$ $k=0.0264$ Thus, $A=3.2e^{0.0264t}$ b. $9= 3.2e^{0.0264t}$ $2.8125= 3.2e^{0.0264t}$ $\ln 2.8125=0.0264t$ $t=39.17$ Therefore, at $2040$ year will palestinian population be $9$ million.