Asap. there are 20 alligators in the swamp. each year, the number of alligators increases by 25%. there are 25 crocodiles in the swamp. each year, 10 new crocodiles join the swamp. part a: write functions to represent the number of alligators and crocodiles in the swamp throughout the years. (4 points) part b: how many alligators are in the swamp after 4 years? how many crocodiles are in the swamp after the same number of years? (2 points) part c: after approximately how many years is the number of alligators and crocodiles the same? justify your answer mathematically. (4 points)

Part A

Each year the number of alligators is 1.25 times the number the year before. Repeated multiplication by this value can be represented using an exponent. The equation for the number of alligators (a) as a function of the number of years (t) can be written as

... a(t) = 20·1.25^t

Each year, the number of crocodiles increases by 10. Repeated addition can be represented using multiplication. The equation for the number of crocodiles (c) as a function of the number of years (t) can be written as

... c(t) = 25 +10t

Part B

... a(4) = 20·1.25⁴ ≈ 48.83 ≈ 49

... c(4) = 25 +10·4 = 65

After 4 years, there are 49 alligators and 65 crocodiles.

Part C

You want t that solves a(t) = c(t). Such an equation cannot be solved algebraically, but it can be solved by any of a variety of other methods. My personal preference is for a graphical solution.

After approximately 7 years, the number of animals of each type will be the same, 95.

a(7) = 95.4

c(7) = 95

These numbers both round to 95.

water molecules will move from the side of higher water concentration to the side of lower concentration until both solutions are isotonic. at this point, equilibrium is reached. in an isotonic solution, the flow of water in and out of the cell is happening at the same rate.

hope this < 3

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: