Sunset Lake is stocked with 1000 rainbow trout and after 1 year the population has grown to 3200. Assuming logistic growth with a carrying capacity of 10000, find the growth constant k, and determine when the population will increase to 5200.

k= __blank__ yr ^-1

I can not figure out the second part

The population will increase to 5200 after _blank_ years.

I got 1.4435 for the k but it might be off

Please any help

Question

Sunset Lake is stocked with 1000 rainbow trout and after 1 year the population has grown to 3200. Assuming logistic growth with a carrying capacity of 10000, find the growth constant k, and determine when the population will increase to 5200.

k= __blank__  yr ^-1

I can not figure out the second part 

The population will increase to 5200 after _blank_  years.

I got 1.4435 for the k but it might be off

Please any help

armyrangers · Answer

It seems right to me

anonymous · Answer

can't find out how many years. This is the equation I get but I can't seem to get t

5200=10000/(1+9.00001e^(-1.4435*t))