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?

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter13: Sequences And Series
Section13.FOM: Focus On Modeling: Modeling With Recursive Sequences
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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 1 1
8
(ii) Find the sum of the first eight terms of the sequence
4'2
(b) A landscape contractor is hired to cultivate ornamental plants in three new residential
developments. The contractor charges the developer for each tree cultivated, an hourly rate
to cultivate the ornamental plants, and a fixed delivery charge. In one development it took
211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second development
it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the final
development 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 hourly
labour charge, and the delivery charge.
Transcribed Image Text: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 1 1 8 (ii) Find the sum of the first eight terms of the sequence 4'2 (b) A landscape contractor is hired to cultivate ornamental plants in three new residential developments. The contractor charges the developer for each tree cultivated, an hourly rate to cultivate the ornamental plants, and a fixed delivery charge. In one development it took 211 labour hours to cultivate 244 ornamental plants for a cost of $9394. In a second development it took 128 labour hours to cultivate 283 ornamental plants for a cost of $8270. In the final development 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 hourly labour charge, and the delivery charge.
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