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The personnel costs in the city of Greenberg were $9,500,000 in 2009. In the recent past the personnel costs have increased at the rate of 4.2% annually. To model this, the city manager uses the function C(t) = 9.5(1.042)' where C(t) is the annual personnel costs,in millions of dollars, t years past 2009 1) write the equation that can be solved to find in what year the personnel costs will be double the 2009 personnel costs. Then 2) solve the equation numerically (use the Table feature of your calculator) or graphically and determine the year.

The personnel costs in the city of Greenberg were $9,500,000 in 2009. In the recent past the personnel costs have increased at the rate of 4.2% annually. To model this, the city manager uses the function C(t) = 9.5(1.042)' where C(t) is the annual personnel costs,in millions of dollars, t years past 2009 1) write the equation that can be solved to find in what year the personnel costs will be double the 2009 personnel costs. Then 2) solve the equation numerically (use the Table feature of your calculator) or graphically and determine the year.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The personnel costs in the city of Greenberg were $9,500,000 in 2009. In the recent past the personnel costs have increased at the rate of 4.2% annually. To model this, the city manager uses the function C(t) = 9.5(1.042)^t where C(t) is the annual personnel costs, in millions of dollars, t years past 2009. 1) Write the equation that can be solved to find in what year the personnel costs will be double the 2009 personnel costs. Then 2) Solve the equation numerically (use the Table feature of your calculator) or graphically and determine the year. Choices: - A. 19 = 9.5(1.042)^t; Year is 2026 - B. y = 9.5(1.042)^(19); Year is 2030 - C. 19 = 9.5(1.042)^t; Year is 2024 - D. y = 19(1.042)^t; Year is 2022 **Remember that on quizzes and tests you will need to show the correct work along with your answers.**
Transcribed Image Text:The personnel costs in the city of Greenberg were $9,500,000 in 2009. In the recent past the personnel costs have increased at the rate of 4.2% annually. To model this, the city manager uses the function C(t) = 9.5(1.042)^t where C(t) is the annual personnel costs, in millions of dollars, t years past 2009. 1) Write the equation that can be solved to find in what year the personnel costs will be double the 2009 personnel costs. Then 2) Solve the equation numerically (use the Table feature of your calculator) or graphically and determine the year. Choices: - A. 19 = 9.5(1.042)^t; Year is 2026 - B. y = 9.5(1.042)^(19); Year is 2030 - C. 19 = 9.5(1.042)^t; Year is 2024 - D. y = 19(1.042)^t; Year is 2022 **Remember that on quizzes and tests you will need to show the correct work along with your answers.**
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