The bacteria in a Petri dish culture are self-duplicating at a rapid pace.
The relationship between the elapsed time $t$, in minutes, and the number of bacteria, $B(t)$, in the Petri dish is modeled by the following function.
$B(t)=100 \cdot 2\^{\Large\frac{t}{10}}$
**How many minutes will it take for the culture to achieve $10{,}000$ bacteria?**
*Round your answer, if necessary, to the nearest hundredth.*
[[☃ input-number 1]] minutes