Answer
(a)
$$ P(0)= 2000.$$
(b)
$$ t=\frac{\ln5}{1.3}.$$
Work Step by Step
(a) The number is given at $ t=0$, so we have
$$ P(0)=2000e^0=2000.$$
(b) We have
$$10.000=2000e^{1.3t}\Longrightarrow 1.3t=\ln 5\Longrightarrow t=\frac{\ln5}{1.3}.$$
