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)
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,...
icon
Related questions
Question

Alebraic Modeling

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 willI 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.
A. 19 = 9.5(1.042)'; Year is 2026
B. y= 9.5(1.042)(19);Year is 2030
C.
19 = 9.5(1.042)*; Year is 2024
D. y= 19(1.042)'; 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)' 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 willI 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. A. 19 = 9.5(1.042)'; Year is 2026 B. y= 9.5(1.042)(19);Year is 2030 C. 19 = 9.5(1.042)*; Year is 2024 D. y= 19(1.042)'; Year is 2022 Remember that on quizzes and tests you will need to show the correct work along with your answers.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics (types, similarity, etc)
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education