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

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.