The population of a species of starfish in the gulf of mexico is decreasing at an exponential rate, a(t) = a0e(kt) . five years ago the population was 10,000. the current population is only 2000. when the population is 500, the starfish population cannot recover. when will this event occur? show your work and explain the process of solving this problem.

Hello mate!

we know that the model of the population is described with the function where A0 and k are constants, and t is time.

we know that five years ago, the population wass 10000 and now is 2000, if we set t = 0 five years ago then, and define t in years:

, now we know the value of A0.

and

then the equation is:

now we want to find the value of t where A(t) = 500 then:

But remember that we took t = 0 five years ago, then the event will ocurr in 9.4 - 5 = 4.4 years.

the answer is 5/3x+7/5y+7

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.