Math Problem Solver

The solution is: $$t = \frac{e^{\frac{1}{5}}}{3000} \approx 0.00040713425$$

$$\begin{aligned}t \left(- \frac{30}{e^{0.2}}\right) + 50 &= 49.99\\t \left(- \frac{30}{e^{0.2}}\right) &= 0.01\\t &= \frac{e^{0.2}}{3000}\end{aligned}$$

$e$ is Euler's number, a mathematical constant that is approximately $2.71828$.