Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter MPS, Problem 11.7MPS
a.
To determine
Write a recursive formula.
a.
Expert Solution
Answer to Problem 11.7MPS
an=0.8an−11000
Explanation of Solution
Given information:
In a city fishing pond, the city starts with 4000 trout. 20% of the fish are caught each year, so the city adds 1000 fish every spring.
Calculation:
Assume that an is the number of fish in the pond after n−1th month.
Initially, number of fish in the pond is a1=4000 .
Each year 1000 fish are added and 20% of the fish are caught.
Thus,
a2=a1−0.2a1+1000a2=0.8a1+1000
Then,
a3=0.8a2+1000
Hence, the recursive formula is an=0.8an−11000 .
b.
To determine
Find the number of fish in the pond after 5 years.
b.
Expert Solution
Answer to Problem 11.7MPS
4672
Explanation of Solution
Given information:
In a city fishing pond, the city starts with 4000 trout. 20% of the fish are caught each year, so the city adds 1000 fish every spring.
Calculation:
The recursive formula for the number of fish after (n−1) th month is,
an=0.8an−11000
Substitute n=6 ,
an=0.8an−11000a6=0.8a5+1000
Find the value of a5 as follows:
a2=0.8a1+1000a2=0.8×4000+1000a2=4200a3=0.8a2+1000a3=0.8×4200+1000a3=4360a4=0.8a3+1000a4=0.8×4360+1000a4=4488a5=0.8a4+1000a5=0.8×4488+1000a5=4590.4a5≈4590
Now, substitute a5=4590 in formula a6=0.8a5+1000 .
a6=0.8a5+1000a6=0.8×4590+1000a6=4672
Hence, the number of fish in the pond after 5 years is 4672 .
c.
To determine
Find the number of fish needed to maintain a constant population.
c.
Expert Solution
Answer to Problem 11.7MPS
5000
Explanation of Solution
Given information:
In a city fishing pond, the city starts with 4000 trout. 20% of the fish are caught each year, so the city adds 1000 fish every spring.
Calculation:
The recursive formula is an=0.8an−1+1000 .
For constant population, an&an−1 will remain same.
an=0.8an−1+1000a=0.8a+1000,Usean=a,and,an−1=aa−0.8a=10000.2a=1000a=10000.2a=5000
Hence, the number of fish needed to maintain a constant population is 5000 .
Chapter MPS Solutions
Algebra 2
Ch. MPS - Prob. 1.1MPSCh. MPS - Prob. 1.2MPSCh. MPS - Prob. 1.3MPSCh. MPS - Prob. 1.4MPSCh. MPS - Prob. 1.5MPSCh. MPS - Prob. 1.6MPSCh. MPS - Prob. 1.7MPSCh. MPS - Prob. 1.8MPSCh. MPS - Prob. 1.9MPSCh. MPS - Prob. 1.10MPS
Ch. MPS - Prob. 1.11MPSCh. MPS - Prob. 1.12MPSCh. MPS - Prob. 1.13MPSCh. MPS - Prob. 2.1MPSCh. MPS - Prob. 2.2MPSCh. MPS - Prob. 2.3MPSCh. MPS - Prob. 2.4MPSCh. MPS - Prob. 2.5MPSCh. MPS - Prob. 2.6MPSCh. MPS - Prob. 2.7MPSCh. MPS - Prob. 2.8MPSCh. MPS - Prob. 2.9MPSCh. MPS - Prob. 3.1MPSCh. MPS - Prob. 3.2MPSCh. MPS - Prob. 3.3MPSCh. MPS - Prob. 3.4MPSCh. MPS - Prob. 3.5MPSCh. MPS - Prob. 3.6MPSCh. MPS - Prob. 3.7MPSCh. MPS - Prob. 3.8MPSCh. MPS - Prob. 3.9MPSCh. MPS - Prob. 4.1MPSCh. MPS - Prob. 4.2MPSCh. MPS - Prob. 4.3MPSCh. MPS - Prob. 4.4MPSCh. MPS - Prob. 4.5MPSCh. MPS - Prob. 4.6MPSCh. MPS - Prob. 4.7MPSCh. MPS - Prob. 4.8MPSCh. MPS - Prob. 4.9MPSCh. MPS - Prob. 5.1MPSCh. MPS - Prob. 5.2MPSCh. MPS - Prob. 5.3MPSCh. MPS - Prob. 5.4MPSCh. MPS - Prob. 5.5MPSCh. MPS - Prob. 5.6MPSCh. MPS - Prob. 5.7MPSCh. MPS - Prob. 5.8MPSCh. MPS - Prob. 5.9MPSCh. MPS - Prob. 5.10MPSCh. MPS - Prob. 5.11MPSCh. MPS - Prob. 6.1MPSCh. MPS - Prob. 6.2MPSCh. MPS - Prob. 6.3MPSCh. MPS - Prob. 6.4MPSCh. MPS - Prob. 6.5MPSCh. MPS - Prob. 6.6MPSCh. MPS - Prob. 6.7MPSCh. MPS - Prob. 6.8MPSCh. MPS - Prob. 6.9MPSCh. MPS - Prob. 6.10MPSCh. MPS - Prob. 6.11MPSCh. MPS - Prob. 6.12MPSCh. MPS - Prob. 6.13MPSCh. MPS - Prob. 7.1MPSCh. MPS - Prob. 7.2MPSCh. MPS - Prob. 7.3MPSCh. MPS - Prob. 7.4MPSCh. MPS - Prob. 7.5MPSCh. MPS - Prob. 7.6MPSCh. MPS - Prob. 7.7MPSCh. MPS - Prob. 7.8MPSCh. MPS - Prob. 7.9MPSCh. MPS - Prob. 7.10MPSCh. MPS - Prob. 7.11MPSCh. MPS - Prob. 8.1MPSCh. MPS - Prob. 8.2MPSCh. MPS - Prob. 8.3MPSCh. MPS - Prob. 8.4MPSCh. MPS - Prob. 8.5MPSCh. MPS - Prob. 8.6MPSCh. MPS - Prob. 8.7MPSCh. MPS - Prob. 8.8MPSCh. MPS - Prob. 8.9MPSCh. MPS - Prob. 9.1MPSCh. MPS - Prob. 9.2MPSCh. MPS - Prob. 9.3MPSCh. MPS - Prob. 9.4MPSCh. MPS - Prob. 9.5MPSCh. MPS - Prob. 9.6MPSCh. MPS - Prob. 9.7MPSCh. MPS - Prob. 9.8MPSCh. MPS - Prob. 9.9MPSCh. MPS - Prob. 9.10MPSCh. MPS - Prob. 9.11MPSCh. MPS - Prob. 10.1MPSCh. MPS - Prob. 10.2MPSCh. MPS - Prob. 10.3MPSCh. MPS - Prob. 10.4MPSCh. MPS - Prob. 10.5MPSCh. MPS - Prob. 10.6MPSCh. MPS - Prob. 10.7MPSCh. MPS - Prob. 10.8MPSCh. MPS - Prob. 10.9MPSCh. MPS - Prob. 10.10MPSCh. MPS - Prob. 11.1MPSCh. MPS - Prob. 11.2MPSCh. MPS - Prob. 11.3MPSCh. MPS - Prob. 11.4MPSCh. MPS - Prob. 11.5MPSCh. MPS - Prob. 11.6MPSCh. MPS - Prob. 11.7MPSCh. MPS - Prob. 11.8MPSCh. MPS - Prob. 11.9MPSCh. MPS - Prob. 11.10MPSCh. MPS - Prob. 11.11MPSCh. MPS - Prob. 11.12MPSCh. MPS - Prob. 12.1MPSCh. MPS - Prob. 12.2MPSCh. MPS - Prob. 12.3MPSCh. MPS - Prob. 12.4MPSCh. MPS - Prob. 12.5MPSCh. MPS - Prob. 12.6MPSCh. MPS - Prob. 12.7MPSCh. MPS - Prob. 12.8MPSCh. MPS - Prob. 12.9MPSCh. MPS - Prob. 12.10MPSCh. MPS - Prob. 12.11MPSCh. MPS - Prob. 12.12MPSCh. MPS - Prob. 13.1MPSCh. MPS - Prob. 13.2MPSCh. MPS - Prob. 13.3MPSCh. MPS - Prob. 13.4MPSCh. MPS - Prob. 13.5MPSCh. MPS - Prob. 13.6MPSCh. MPS - Prob. 13.7MPSCh. MPS - Prob. 13.8MPSCh. MPS - Prob. 13.9MPSCh. MPS - Prob. 13.10MPSCh. MPS - Prob. 13.11MPSCh. MPS - Prob. 14.1MPSCh. MPS - Prob. 14.2MPSCh. MPS - Prob. 14.3MPSCh. MPS - Prob. 14.4MPSCh. MPS - Prob. 14.5MPSCh. MPS - Prob. 14.6MPSCh. MPS - Prob. 14.7MPSCh. MPS - Prob. 14.8MPSCh. MPS - Prob. 14.9MPSCh. MPS - Prob. 14.10MPS
Additional Math Textbook Solutions
Find more solutions based on key concepts
the given expression according to given condition.
Pre-Algebra Student Edition
Twenty five people, consisting of 15 women and 10 men are lined up in a random order. Find the probability that...
A First Course in Probability (10th Edition)
Mathematical Connections Explain why a number and a numeral are considered different.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Snow Depth (Example 3) Eric wants to go skiing tomorrow, but only if there are 3 inches or more of new snow. Ac...
Introductory Statistics
Repeated integration by parts Evaluate the following integrals. 24. e3xcos2xdx
Calculus: Early Transcendentals (2nd Edition)
Fill in each blank so that the resulting statement is true. Any set of ordered pairs is called a/an ____.The se...
Algebra and Trigonometry (6th Edition)
Knowledge Booster
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
- 1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forwardMATCHING LIST Question 6 Listen Use the given equations and their discriminants to match them to the type and number of solutions. 00 ed two irrational solutions a. x²+10x-2=-24 two rational solutions b. 8x²+11x-3=7 one rational solution c. 3x²+2x+7=2 two non-real solutions d. x²+12x+45 = 9 DELL FLOWER CHILD 10/20 All Changes S $681 22991arrow_forward
- 88 MULTIPLE CHOICE Question 7 Listen The following irrational expression is given in unsimplified form with four op- tions in simplified form. Select the correct simplified form. Select only one option. A 2±3√√2 B 4±√3 2±√ √3 D 1±√√3 DELL FLOWER CHILD 11/200 4 ± √48 4 ✓ All Changes Saved 165arrow_forwardUse the graph of y = f(x) to answer the following. 3- 2 -4 -2 -1 1 2 3 4 -1 2 m -3- + (d) Find all x for which f(x) = -2. If there is more than one value, separate them with commas or write your answer in interval notation, if necessary. Select "None", if applicable. Value(s) of x for which f(x)=-2: | (0,0) (0,0) (0,0) (0,0) 0,0... -00 None (h) Determine the range of f. The range is (0,0) Garrow_forwardWhat is g(f(4))arrow_forward
- 10) Multiply (8m + 3)² A) 8m²+11m+6 B) m² + 48m+9 C) 64m²+48m+9 D) 16m²+11m+6arrow_forwardLet R be field and X= R³/s Vector space over R M=(a,b,c)labic, e Rra+b= 3- <3 Show that Ms and why with proof. 1) is convexset and affine set of botost ii) is blanced set and symmetirs set of x iii) is hy per space and hyper plane ofx or hot iii) find f:MR st kerf = M 18/103 and finnd fiM→R/{0} st M= {xEX, f(t) = x, texiαER? jiii) show that Mis Maxsubspace or not and Mis a max. affine set or not.arrow_forwardFind The partial fraction decomposition for each The following 2× B) (x+3) a 3 6 X-3x+2x-6arrow_forward
- 1) Find the partial feraction decomposition for each of 5- X 2 2x+x-1 The following: 3 B) 3 X + 3xarrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)} Find the domain and range of the inverse. Express your answer as a set of numbers.arrow_forwardT={(−7,1),(1,−1),(6,−8),(2,8)}. Find the inverse. Express your answer as a set of ordered pairs.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSON
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
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
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License