Ryan has an exterminator visit regularly to control an ongoing cockroach problem. It's been working, and the population has declined by 10% every year. If the population is currently 1,245 cockroaches, how many will there be in 3 years?If necessary, round your answer to the nearest whole number.

Question

26-10-2022
Physics

contestada

Ryan has an exterminator visit regularly to control an ongoing cockroach problem. It's been working, and the population has declined by 10% every year. If the population is currently 1,245 cockroaches, how many will there be in 3 years?If necessary, round your answer to the nearest whole number.

Respuesta :

Otras preguntas

yz = 7ln(x + z), (0, 0, 1) (a) the tangent plane Correct: Your answer is correct. (b) parametric equations of the normal line to the given surface at the specif

According to Marx, the bourgeoisie and the proletariat are: a) the product of gender differentiation in Europe's tribal past. b)

A uniform metal rod, with a mass of 3.7 kg and a length of 1.2 m, is attached to a wall by a hinge at its base. A horizontal wire bolted to the wall 0.51 m abov

Railroads played extremely important part in developing the west.What were two specific ways that railroads affected growing areas in Washington? How were indus

If a stock's expected return as seen by the marginal investor exceeds this investor's required return, then the investor will buy the stock until its price has

A soccer player runs up behind a 0.450-kg soccer ball traveling at 3.20 m/s and kicks it in the same direction as it is moving, increasing its speed to 12.8 m/s

3) "This momentous question, like a firebell in the night, awakened and filled me with terror. I considered it at once as the knell of the Union." Jefferson wro

Calculate the minimum thickness of an oil slick on water that appears blue when illuminated by white light perpendicular to its surface. Take the blue wavelengt

La autora reflexiona sobre la situación de presión social que sufren las mujeres que, como ella, no tienen hijos y deben soportar las preguntas y miradas de los

A firm has 3 customer orders, each for 12,000lbs of coal. It is $15.75 per 100 lbs to ship directly to each customer (including unloading), or $10.50 per 100 lb

AylieE106032 AylieE106032 · Answer 1 · 2022-10-26T16:08:47+02:00

Since the population declines by 10% each year, then, the population on a given year is 90% of the population of the previous year.

Starting with a population of 1,245 cockroaches, calculate what is 90% of 1,245 to find the population after 1 year by multiplying 1,245 times 90/100:

[tex]1,245\times\frac{90}{100}=1120.5[/tex]

Next, calculate what is 90% of 1120.5 to find the population after two years:

[tex]1120.5\times\frac{90}{100}=1008.45[/tex]

Finally, calculate what is 90% of 1008.45 to find the population after three years:

[tex]1008.45\times\frac{90}{100}=907.605[/tex]

To the nearest whole number, there will be 908 cockroaches after three years.

Notice that another way to find the answer is to multiply 1,245 times (90/100)^3:

[tex]1245\times\mleft(\frac{90}{100}\mright)^3=907.605\approx908[/tex]

Therefore, the population of cockroaches after 3 years will be 908.