Generally, the more money a company spends on advertising, the higher the sales. Let a represent the amount of money spent on advertising (in $1000s). Then the amount of money in sales S(a)(in $1000s) is given by   S(a)=10+20log(a+1) where a is greater than or equal to 0 The value of S(1) is approximately 16.0 means that if $100 is spent on advertising, $16,000 is returned in sales. Find the following values, round to one decimal place. Interpret the meaning of each function value in the context of the problem. Find S(31)

The sales of Spicheesy Nachos at the local grocery store are currently 3,200 bags per month. Since Twisty Cheese Sticks were introduced, sales of Spicheesy Nachos had been declining by 48 bags per month. Twisty Cheese Sticks currently sell 1,400 bags per month and it sales are increasing by 62 bags per month. Part A: Write expressions for f(x) and g(x) that represent each products sales. Part B: what is the solution to the system? Part C: what does the solution represent?

Suppose the weekly cost C, in dollars, of eliminating p percent of the pollution from the emissions of a factory is given by the following. C(p) = 5600p/100-p   (a) What type of function is this? (multiple choice) A. rational function B. identity function C. linear function D. polynomial function E. power function   (b) Given that p represents the percent of pollution removed, what is the domain of C(p)? (Enter your answer using interval notation.)   (c) Find C(0). (multiple choice) Interpret its meaning. A. The factory will gain revenue if no pollution is removed. B. There is no cost if no pollution is removed. C. Removing all the pollution will have a large cost. D. Removing all the pollution will have no cost. E. Even if no pollution is removed, there will be some cost.   (d) Find the weekly cost (in dollars) of removing 99% of the pollution. $ ?

33. A family invested $2,000 into an account that pays 2% interest compounded annually. In the functions below, x = time in years and y = total amount in the account after x years. %3D y= 40x +2,000 y = 2,000(1.02) Use the function that models the situation correctly. To the nearest dollar, how much money is in the family's account after 5 years? A. $2,081 В. $2,200 C. $2,208 D. $10,200 E34-3 F7 FB & 4 7 8 T Y U F G H J K C V B NM 立 LU

1/x +3/2 = -4/7 + 6/(2 x) %3D