A population model uses the function $$P(t) = 1500e^{0.08t}$$, where $$t$$ is time in years. What is the approximate value of the natural base $$e$$ used in this exponential model?

Consider the composite functions formed with f(x) = x + 3 and g(x) = 2*x, and the additional functions h(x) = x^2 and k(x) = $$\sqrt{x}$$. Evaluate at x = 1: • f(g(1)): g(1) = 2*1 = 2, then f(2) = 5 • g(f(1)): f(1) = 1+3 = 4, then g(4) = 8 • f(h(1)): h(1) = 1, then f(1) = 4 • g(k(1)): k(1) = $$\sqrt{1} = 1$$, then g(1) = 2 Rank these composite evaluations in increasing order.