Problem 3(a) A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What wound be the population size in 7 years?1 11(ii) Find the sum of the first eight terms of the sequence4 2(b) A landscape contractor is hired to cultivate ornamental plants in three new residentialdevelopments. The contractor charges the developer for each tree cultivated, an hourly rateto cultivate the ornamental plants, and a fixed delivery charge. In one development it took211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second developmentit took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the finaldevelopment it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938.In total 504 labour hours were taken and 913 ornamental plants were cultivated.Using Cramer's Rule of the Inverse Method, determine the cost for each tree, the hourlylabour charge, and the delivery charge. Problem 4(a)5x-3-4(i) LimX0 2x-2 + 9(x-3)2(ii) Lim- 2x - 3(b) During a nationwide program to immunize the population against a new strain of the flu,public health officials determined that the cost of inoculating x% of the susceptible population1.85xwould be approximately C(x) =million dollars.100 - x(i) What would it cost to providing immunization to the first 20% of the susceptiblepopulation?(ii) What would it cost to providing immunization to the next 30% of the susceptiblepopulation?(iii) Suppose 17 million dollars are available for providing immunization. What percentageof the susceptible population will not receive immunization?(iv) If money was not a problem will they be able to providing immunization to the entiresusceptible population?2x4x

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Problem 3(a) A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What wound be the population size in 7 years?1 11(ii) Find the sum of the first eight terms of the sequence4 2(b) A landscape contractor is hired to cultivate ornamental plants in three new residentialdevelopments. The contractor charges the developer for each tree cultivated, an hourly rateto cultivate the ornamental plants, and a fixed delivery charge. In one development it took211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second developmentit took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the finaldevelopment it took 165 labour hours to cultivate 386 ornamental plants for a cost of $10938.In total 504 labour hours were taken and 913 ornamental plants were cultivated.Using Cramer's Rule of the Inverse Method, determine the cost for each tree, the hourlylabour charge, and the delivery charge. Problem 4(a)5x-3-4(i) LimX0 2x-2 + 9(x-3)2(ii) Lim- 2x - 3(b) During a nationwide program to immunize the population against a new strain of the flu,public health officials determined that the cost of inoculating x% of the susceptible population1.85xwould be approximately C(x) =million dollars.100 - x(i) What would it cost to providing immunization to the first 20% of the susceptiblepopulation?(ii) What would it cost to providing immunization to the next 30% of the susceptiblepopulation?(iii) Suppose 17 million dollars are available for providing immunization. What percentageof the susceptible population will not receive immunization?(iv) If money was not a problem will they be able to providing immunization to the entiresusceptible population?2x4x <225x25(c) Determine the values of x for which the function f(x) = x + 2is discontinuous.

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(a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (1) What wound be the population size in 7 years? 1 1 (ii) Find the sum of the first eight terms of the sequence 8. 4 2