In 2009, the life expectancy is about 80 years. Assume that, due to modern advances, life expectancy gains 5.5 years every decade. From 2009, in how many years would humanity achieve a life expectancy of 110 years?

Is appreciated! graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. f(x) = 4^xg(x) = 4x^2options: x = -1x = 0x = 1x = 2

A. s.a.! this is a similarity in right triangles. next (solve for x)a.) 12b.) 5c.) 12.5d.) [tex] 6\sqrt{3} [/tex]

Mrs. julien’s and mrs. castillejo’s classes are selling cookie dough for a school fundraiser. customers can buy packages of macadamia nut chip cookie dough and packages of triple chocolate cookie dough. mrs. julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $221.25. mrs. castillejo’s class sold 5 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $191.25. (a) write the system of equations that model the problem. be sure to explain which equation represents which situation. (b) find the cost of each type of cookie. show your work. (c) explain which method you used to solve the system and why you chose that method.