MATH HELP ASAP!

Question

A new lake was populated with a small number of trout. The number of trout in the lake can be modeled by the function: P(t)=740 / 1+73e^−0.07 where t is the number of months since the population of trout was first introduced. Round all answers to the nearest whole number

A. what is P(0)= I got 10

B. What does the answer from part A tell us about the trout population?

C. How many trout were in the lake after 1 year?   

D. How many trout were in the lake after 10 years? 

E. lim t→∞P(t)= I got 740

F. What does the answer from part E tell us about the trout population?

Answer 1

P(t) = 740/(1+ 73e^-.07)

P(0) = 740/(1+73) = 740/74 = 10

the trout are reproducig faster than dying,

birth rate > death rate

in 10 month.s trout population =

P(10) = 740(1+73e^-.7) = 19.865... = about 20

as time approaches infinity, the population approaches 740

740 is the limit on the trout population,

due to humans fishing, other predators

limits on food, or it gets so crowded maybe

the trout start eating each other

Nature is "red in tooth and claw" or fins