Researchers in a local area found that the population of rabbits with an initial population of 20 grew continuously at the rate of 5% per month the fox population had an initial value of 30 and grew continuously at the rate of 3% per month. find, to the nearest tenth of a month, how long it takes for these populations to be equal

The answer is:

It will take 20.5 months to the populations to be equal.

Since from the statement we know that both populations are growing, we need to use the formula to calculate the exponential growth.

The exponential growth is defined by the following equation:

Now,

Calculating for the rabbits, we have:

So, writing the equation for the rabbits, we have:

Calculating for the fox, we have:

So, writing the equation for the fox, we have:

Then, if we want to calculate how long does it takes for these populations to be equal, we need to make their equations equal, so:

Hence, we have that it will take 20.5 months to the populations to be equal.

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: