There are 300 fishes in a pond. the fish population is increasing by approximately 15% per years.Write an equation that can be used to find the amount of fish in the pond after 6 years.

Respuesta :

Answer:

[tex]300(1.15)^6[/tex]

Step-by-step explanation:

Given,

The fish population is increasing per year,

That is, the population is increasing exponentially,

Since, the population that is increasing exponentially is,

[tex]A=P(1+r)^{t}[/tex]

Where, P is initial population,

r is rate of increasing per period,

t is number of periods,

Here, P = 300,

r = 15 % = 0.15,

t = 6 years,

Hence, the population of fish after 6 years would be,

[tex]A=300(1+0.15)^6[/tex]

[tex]=300(1.15)^6[/tex]

Which is the required equation.

300 ×  (1 + 15%) ⁶ is the equation that will show the number of fish in the pond after 6 years.

To find the number of fish in the pond after a certain number of years, use the future value formula:

Future value = Amount × ( 1 + rate) ^ number of years

Number of fish after 6 years = Number of fish now × (1 + 15%) ⁶

= 300 ×  (1 + 15%) ⁶

In conclusion, if you want to find out the number of fish in the pond after 6 years, use this formula:  300 ×  (1 + 15%) ⁶

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