A number of birds of an endangered species were released in a forest preserve with a carrying capacity of 500 birds. The population P of the birds can be modeled by P(t)= 500/1+4.55e^-0.5t , where t is the number of years since the birds were released.
(a) When does the growth rate start to decrease?
(b) What is the initial population?
(c) What is the maximum population?
(d) What is the population of the birds after 2 years?
PLEASE EXPLAIN THIS AS WELL, DON'T JUST ANSWER, I DON'T REALLY UNDERSTAND IT AND i'D LOVE FOR SOMEONE TO EXPLAIN IT

Atriangle has sides with lengths of 10 yards, 13 yards, and 18 yards. is it a right triangle?

Put the equation in slope intercept form by solving for y

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.