100 trout are seeded into a lake. Absent constraint, their population will grow by 70% a year. The lake can sustain a maximum of 2000 trout. How many trout will be in the lake after 2 years.

FV= 289 trout

Step-by-step explanation:

Giving the following information:

100 trout are seeded into a lake. Absent constraint, their population will grow by 70% a year.

To calculate the number of trouts after 2 years, we need to use the following formula:

FV= PV*(1+i)^n

FV= future value

PV= present value

i= increase rate

n= time period

FV= 100*(1.7^2)

FV= 289 trout

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus