Mathematics: The numbers at the bottom are 25 - 30 - 18 - 20 - 21 15-16-24-17-27-26-1-2-3-4-5-1015-36. Amy and Ben is a choice to

The numbers at the bottom are 25 - 30 - 18 - 20 -

Anonymousmike

19.05.2021

1) After 17.673 years ( Approx) the population will be doubled.

2) After 53.019 years the population will be 80.

Step-by-step explanation:

1) Let x represents the number of years after which the population will doubled,

Since rate of interest = 4%

And, initial number of fish = 10,

Hence the fish after x years = $10(1+\frac{4}{100})^x =10(1+0.04)^x =10(1.04)^x$

⇒ 10(1.04)^x = 20

⇒ (1.04)^x = 2

⇒ x log (1.04) = log(2)

⇒ $x = \frac{log(2)}{log(1.04)}=17.6729877\approx 17.673$

Hence, After 17.673 years ( Approx) the population will be doubled.

2) Let after y years the population will be 80.

⇒ 10(1.04)^x = 80

⇒ (1.04)^x = 8

⇒ x log (1.04) = log(8)

⇒ $x = \frac{log(8)}{log(1.04)}=53.0189631\approx 53.019$

Hence, After 53.019 years the population will be 80.

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