The number of users on a website is 5400 and is growing exponentially at a rate of 30% per year. Write a function to represent the number of users on the website after t
years, where the quarterly rate of change can be found from a constant in the
function. Round all coefficients in the function to four decimal places. Also,
determine the percentage rate of change per quarter, to the nearest hundredth of a
percent.

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.