Exponential decay occurs when 0 < r < 1If P = (625)(.8)t, then findP0 = _________P1 = _________P2 = _________P3 = _________P4 = _________By what percentage is the population decaying? ____

Given: P=6250.8t Calculate P0. Substitute 0 for t in the above equation. P0=6250.80=6251=625…

Answered: Exponential decay occurs when 0 < r < 1…

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,...

See similar textbooks

Related questions

Concept explainers

Question

100%

Exponential decay occurs when 0 < r < 1

If P = (625)(.8)^t, then find

P₀ = _________
P₁ = _________
P₂ = _________
P₃ = _________
P₄ = _________
By what percentage is the population decaying? ____

Expert Solution

Step 1

Given: $P = (625) {(0.8)}^{t}$

Calculate P₀.

Substitute 0 for t in the above equation.

$\begin{array}{rcl} P_{0} & = & (625) {(0.8)}^{0} \\ = & 625 (1) \\ = & 625 \end{array}$

Calculate P₁.

Substitute 1 for t in the above equation.

$\begin{array}{rcl} P_{1} & = & (625) {(0.8)}^{1} \\ = & 625 (0.8) \\ = & 500 \end{array}$

Calculate P₂.

Substitute 2 for t in the above equation.

$\begin{array}{rcl} P_{2} & = & (625) {(0.8)}^{2} \\ = & 625 (0.64) \\ = & 400 \end{array}$

Calculate P₃.

Substitute 3 for t in the above equation.

$\begin{array}{rcl} P_{3} & = & (625) {(0.8)}^{3} \\ = & 625 (0.512) \\ = & 320 \end{array}$

Calculate P₄.

Substitute 4 for t in the above equation.

$\begin{array}{rcl} P_{4} & = & (625) {(0.8)}^{4} \\ = & 625 (0.4096) \\ = & 256 \end{array}$

Step by step

Solved in 2 steps

Knowledge Booster

$Differential Equation$

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.

Similar questions

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra and Trigonometry (6th Edition)

Algebra

ISBN:

9780134463216

Author:

Robert F. Blitzer

Publisher:

PEARSON

Contemporary Abstract Algebra

Algebra

ISBN:

9781305657960

Author:

Joseph Gallian

Publisher:

Cengage Learning

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Algebra And Trigonometry (11th Edition)

Algebra

ISBN:

9780135163078

Author:

Michael Sullivan

Publisher:

PEARSON

Introduction to Linear Algebra, Fifth Edition

Algebra

ISBN:

9780980232776

Author:

Gilbert Strang

Publisher:

Wellesley-Cambridge Press

College Algebra (Collegiate Math)

Algebra

ISBN:

9780077836344

Author:

Julie Miller, Donna Gerken

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS

Exponential decay occurs when 0 < r < 1 If P = (625)(.8)t, then find P0 = _________ P1 = _________ P2 = _________ P3 = _________ P4 = _________ By what percentage is the population decaying?

Exponential decay occurs when 0 < r < 1 If P = (625)(.8)t, then find P0 = _____ P1 = _ P2 = _ P3 = _ P4 = _____ By what percentage is the population decaying?