An actor invests some money at 5%, and $22000 more than three times the amount at 11% The total annual interest earned from the investment is $30160. How much did he invest at each amount? Use the six-step method. He invested $__ at 5% and $__ at 11%.

The multiplicative property of equality states that for real numbers a, b, c, and d, if a = b and c = d, then ac = bd. true false

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)

Find the maximum value of p= 4x + 5y subject to the following constraints :