I have a cockroach problem in my living room. Don't ask how but I counted 64 cockroaches today. And they are
growing at a rate of 25% every day.
How many cockroaches do you think I'll have after three days?

Answers

Answer 1

If they are growing at a rate of 25% every day you can expect to have approximately 100 cockroaches in your living room.

What is growth rate?

Growth rate refers to the rate at which something (such as a population, a quantity, or a value) increases or decreases over a certain period of time.

Assuming that the growth rate is compounded daily, we can calculate the number of cockroaches you will have after three days using the formula for exponential growth:

[tex]N = N_0(1 + r)^t[/tex]

Where:

N₀ is the initial number of cockroaches (64 in this case)

r is the growth rate (25% or 0.25 in decimal form)

t is the time in days (3 in this case)

N is the number of cockroaches after t days

Plugging in the values, we get:

[tex]N = 64(1 + 0.25)^3[/tex]

[tex]N = 64(1.25)^3[/tex]

N = 64(1.5625)

N = 100

Thus, after three days, you can expect to have approximately 100 cockroaches in your living room.

For more details regarding growth rate, visit:

https://brainly.com/question/13870574

#SPJ2


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