Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population for thefish of that species in that lake) to be 9100. The number of fish grew to 1090 in the first year.a)Find an equation for the number of fish P(t) after t yearsP(t) =b) How long will it take for the population to increase to 4550 (half of the carrying capacity)?It will takeyears. A new cell phone is introduced into the market. It is predicted that sales will grow logistically. Themanufacturer estimates that they can sell a maximum of 100 thousand cell phones.After 45 thousand cell phones have been sold, sales are increasing by 9 thousand phones per month.Find the differential equation describing the cell phone sales, where y(t) is the number of cell phones (inthousands) sold after t months.dydtEnter at least 3 decimal places for the constants.

Answered: Image /qna-images/answer/c385b435-121c-4f26-ad54-8c4a51165de7.jpg

Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 9100. The number of fish grew to 1090 in the first year. a)Find an equation for the number of fish P(t) after t years P(t) b) How long will it take for the population to increase to 4550 (half of the carrying capacity)? It will take years.