The manager of an employee health plan for a firm has studied the balance B, in millions of dollars, in the plan account as a function of t, the number of years since the plan was instituted. He has determined that the account balance is given by the following formula. B = 60 + 9t-50e0.1t (a) Make a graph of B versus t over the first 9 years of the plan. B 12 10 8 6 2 B 20 2 5 4 15 r 10 4 6 2 6 8 t 8 B 20 15 10 in B 20 15 10 5 2 2 4 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) years 8 8 t t (c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.) million dollars
The manager of an employee health plan for a firm has studied the balance B, in millions of dollars, in the plan account as a function of t, the number of years since the plan was instituted. He has determined that the account balance is given by the following formula. B = 60 + 9t-50e0.1t (a) Make a graph of B versus t over the first 9 years of the plan. B 12 10 8 6 2 B 20 2 5 4 15 r 10 4 6 2 6 8 t 8 B 20 15 10 in B 20 15 10 5 2 2 4 (b) At what time is the account balance at its maximum? (Round your answer to two decimal places.) years 8 8 t t (c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.) million dollars
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![The manager of an employee health plan for a firm has studied the balance B, in millions of dollars, in the plan account as a function of t, the number of years since the plan
was
instituted. He has determined that the account balance is given by the following formula.
B = 60 + 9t-50e0.10
(a) Make a graph of B versus t over the first 9 years of the plan.
B
12
10
8
6
4
B
20
10
2
5
4
2
6
15
r
4
8
6
8
B
20
15
10
5
B
20
15
10
2
2
(b) At what time is the account balance at its maximum? (Round your answer to two decimal places.)
years
10
6
8
t
(c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.)
million dollars](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12ae8f0a-d08b-4fd5-9d37-215ae02ec41c%2F630e5beb-0d20-4b67-b2e0-f2295f164ddb%2F3if7qmf_processed.png&w=3840&q=75)
Transcribed Image Text:The manager of an employee health plan for a firm has studied the balance B, in millions of dollars, in the plan account as a function of t, the number of years since the plan
was
instituted. He has determined that the account balance is given by the following formula.
B = 60 + 9t-50e0.10
(a) Make a graph of B versus t over the first 9 years of the plan.
B
12
10
8
6
4
B
20
10
2
5
4
2
6
15
r
4
8
6
8
B
20
15
10
5
B
20
15
10
2
2
(b) At what time is the account balance at its maximum? (Round your answer to two decimal places.)
years
10
6
8
t
(c) What is the smallest value of the account balance over the first 9 years of the plan? (Round your answer to two decimal places.)
million dollars
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Functions and Change: A Modeling Approach to Coll…](https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif)
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)