A bacterium is doubling its population every 30 minutes. If the bacteria started with 50 cells, when will its population reach 5,000 cells? Show all of your work!

answer is 33

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft