Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let Q represent the initial quantity of pollutant in the lake. NOTE: Enter the exact answer. Quantity remaining =

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
rrent Attempt in Progress
Write an expression representing the given quantity.
The quantity of pollutant remaining in a lake if it is removed at 2%
a year for 11 years.
Let Q represent the initial quantity of pollutant in the lake.
NOTE: Enter the exact answer.
Quantity remaining =
=
eTextbook and Media
Save for Later
Q Search
MA
C
Attempts: 0 of 3 used
myhp
Transcribed Image Text:rrent Attempt in Progress Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let Q represent the initial quantity of pollutant in the lake. NOTE: Enter the exact answer. Quantity remaining = = eTextbook and Media Save for Later Q Search MA C Attempts: 0 of 3 used myhp
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Wrong 

**Transcription for Educational Website**

---

**Problem Statement:**

Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let \( Q \) represent the initial quantity of pollutant in the lake.

**NOTE:** Enter the exact answer.

**Solution Box:**

Quantity remaining = [   0.8   ] ❌

---

**Explanation:**

This problem requires writing an exponential decay expression to find the quantity of pollutant remaining in a lake. Given that 2% of the pollutant is removed each year:

1. **Decay Rate**: 2%
   - Decimal form: 0.02

2. **Annual Retention Rate**: 98%
   - Decimal form: 0.98

3. **Number of Years**: 11

**Expression:**

Let \( Q \) be the initial quantity of pollutant. The expression for the quantity remaining after 11 years is given by:

\[ \text{Quantity remaining} = Q \times (0.98)^{11} \]

The incorrect answer of 0.8 was provided, indicating a common error in calculations. Be sure your calculations reflect the correct understanding of exponential decay.
Transcribed Image Text:**Transcription for Educational Website** --- **Problem Statement:** Write an expression representing the given quantity. The quantity of pollutant remaining in a lake if it is removed at 2% a year for 11 years. Let \( Q \) represent the initial quantity of pollutant in the lake. **NOTE:** Enter the exact answer. **Solution Box:** Quantity remaining = [ 0.8 ] ❌ --- **Explanation:** This problem requires writing an exponential decay expression to find the quantity of pollutant remaining in a lake. Given that 2% of the pollutant is removed each year: 1. **Decay Rate**: 2% - Decimal form: 0.02 2. **Annual Retention Rate**: 98% - Decimal form: 0.98 3. **Number of Years**: 11 **Expression:** Let \( Q \) be the initial quantity of pollutant. The expression for the quantity remaining after 11 years is given by: \[ \text{Quantity remaining} = Q \times (0.98)^{11} \] The incorrect answer of 0.8 was provided, indicating a common error in calculations. Be sure your calculations reflect the correct understanding of exponential decay.
Solution
Bartleby Expert
SEE SOLUTION
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