Let c be a positive number. A differential equation of the form below where k is a positive constant, is called a doomsday equation because the exponent in the expression ky1+c is larger than the exponent 1 for natural growth. An especially prolific breed of rabbits has the growth term ky1.01. If 5 such rabbits breed initially and the warren has 19 rabbits after three months, then when is doomsday? (Doomsday is the finite time t=T such that lim_(t->T) y(t) = infinity. Round the answer to two decimal places.)

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

15/16 as a decimal rounded to the nearest hundredth

The population of a bacteria colony grows by a consistent percentage each hour and can be modeled by the function y = 500(1.16)t. what does the value 500 represent in the function?