Question 1: Cost Equation An advertiser goes to a printer and is charged $89 for 100 copies of one flyer and $93 for 200 copies of another flyer. This printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if x is the number of copies made. Question 2: Marketing A marketing firm estimates that x months after the introduction of a client’s new product, f(x) thousand households will use it, where: f(x) = x(12 - x) 0 ? x ? 12 Estimate the maximum number of households that will use the product. Question 3: Cell Growth Cells are growing in a culture, and their number is increasing at a rate of 7% per hour. Initially, 2,000 cells are present. After how many full hours will there be at least 5,000 cells? Question 4: How long will it take for $1,000 to amount to $10,000 if invested at 6% compounded monthly? Express the answer in years, rounded to two decimal places. Question 5: Sinking Fund A paper company is considering the purchase of a forest that is estimated to yield an annual return of $60,000 for 8 years, after which the forest will have no value. The company wants to earn 6% on its investment and also set up a sinking fund to replace the purchase price. If money is placed in the fund at the end of each year and earns 4% compounded annually, find the price the company should pay for the forest. Round the answer to the nearest hundred dollars. Assessment Criteria There are 5 questions. Each question is worth 20 marks. Your answers must be set out neatly and concisely and should be accompanied by any associated workings, so that, if necessary, your answers can be verified. If you provide your workings, then we can also give you partial credit for answers that are incorrect. Marking of each question will be on the basis of logical structure and method (70%), the accuracy of results (20%) and presentation (10%).

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