Answer
a. $A=6.04e^{0.01t},$
b. $2040$
Work Step by Step
$A=A_{0}e^{kt}$
a. For $A_{0}=6.04, A=10, t=50$
$10=6.04e^{50k}$
$1.6556=e^{50k}$
$\ln 1.6556=50k$
$k=0.01$
Thus, $A=6.04e^{0.01t}$
b. $9= 6.04e^{0.01t}$
$1.49= e^{0.01t}$
$\ln 1.49=0.01t$
$t=39.882$
Therefore, at $2040$ year will Israel's population be $9$ million.
