Andre observes that the population of a species grows exponentially over time. initially, there are 120 organisms of the species. after 6 days, the population grows to 180 organisms.
how many days until the population of the species is 500 organisms? round your answer to the nearest whole number. (i don't know exactly how to do the work to solve it, i get different answers. but i think the answer is 38? )

attachment?

step-by-step explanation:

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2