Question

3. The population of a city is given by P 250000(1.25)n/20 where n is the n years after 2005. What is the population in 2035. 5 Marks 4. The sales of a small company were $ 27000 in its 2md operation and S 63000 in its 5 year of operation. Assume that the data can be year. Let y represent sales in the 10 approximated by a straight line. a. Find the slope of the sales line and give an equation for the line in the form of 3 Marks b. Use your answer from part a to find out how many years must pass before the 2 Marks y mx+b sales surpass $100,000 A Coffee merchant has two types of coffee beans, one selling at $9 per pound and s15 per pound. The beans are to be mixed to provide 100lb of a mixture selling for $13.5 per pound. How much of each type of coffee bean should be used to form 100lb of the mixture 5. 5 Marks Write a mathematical program after calculating compound interest rates that shows for Interest rates 2%,4%,5%6%, and 7%, a regular savings amount of $500 per month grows over lto 5 years 6. 10 Marks

Answer 1

Given P = 250000(1.25)^n/20 Given n = no.of years After 2005 to 2035 = 2035 = 2005 = 30 P = 250000(1.25)^30/20 P = 250000(1.25)^3/2 P = 349385.62 or P = 349386 (Rounded)