A company's Business Strategist determines that the total sales, in thousands of dollars, for a region can be modeled by f(1) = 800 + 377 log,(1) where l is the number of franchise locations in the region. 377 Determine f'(1) In(7)l f'(7) = Which of the following is the best interpretation of f(7) 1177? Select an answer Which of the following is the best interpretation of f'(19) = 10? Select an answer

Let b be a real number. By considering properties of exponential functions, show that the points P(1,0) and Q(b²,2) are points on the curve C given by y = log, (x) for b>1. Note that your response should be written in sentences, and logically justified to gain full marks. To express exponentials in text, the symbol '^' can be used. For example, two cubed can be expressed as '2^3'.

Suppose E(X) = 77, E(Y) = 48, a = 0.36, and b = 0.64. What is E(aX+bY)? (Please round to two decimal places: ex: 12.34)

1. Given f(x) = 2* and g(x) = log5 x, find the domain of: a) (f + g)(x) b) (fx g)(x) c) (f/g)(x)