(b) A virus is believed to be spreading through a sheep farm according to that equation N = 450 1 -) where \1+249e-0.1t N is the number of sheep infected and t is the number of days. (i) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30,50,70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
icon
Related questions
Question
(b) A virus is believed to be spreading through a sheep farm according to that equation
1
N = 450 (
where
\1+249e-0.1t
N is the number of sheep infected and t is the number of days.
(1) How many sheep are infected at t = 0?
(ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 ,50,70, 100 days)
(iii) Will all the sheep become infected eventually? Give reasons to support your answer.
Problem 4
(a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs.
If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to
the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be
safely conveyed on the elevator on each trip?
(b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per
1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly
bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner.
(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool
must hy agreement, contain a rectangular border of uniform width and must be exactly
Transcribed Image Text:(b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 ( where \1+249e-0.1t N is the number of sheep infected and t is the number of days. (1) How many sheep are infected at t = 0? (ii) Using a spreadsheet calculate the number of sheep infected after 0, 10, 30 ,50,70, 100 days) (iii) Will all the sheep become infected eventually? Give reasons to support your answer. Problem 4 (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner. (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must hy agreement, contain a rectangular border of uniform width and must be exactly
Problem 4
(a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs.
If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to
the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be
safely conveyed on the elevator on each trip?
(b)
The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per
1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly
bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner.
(c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool
must, by agreement, contain a rectangular border of uniform width and must be exactly
120 sq meters in area.
(i) How wide should the border be? Round to the nearest tenth of a metre.
(ii) If physical planning laws require at least a 2-metre-wide border around a pool,
would the contractor be able to satify both the client and the planning regulators?
END OF ASSIGNMENT
Transcribed Image Text:Problem 4 (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the elevator operator weighs 205 lbs and has to move hundreds of boxes from the ground floor to the Penthouse, if each box weighs 65 lbs, what is the maximum number of boxes that can be safely conveyed on the elevator on each trip? (b) The borough of Pan Sherzando charges homeowners $75.24 per month plus $3.86 per 1000 litres for water usage in excess of 10,000 litres. In 2019 one homeowner's monthly bill ranged from $137.00 to $245.08. Find the range for the water used by that homeowner. (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by agreement, contain a rectangular border of uniform width and must be exactly 120 sq meters in area. (i) How wide should the border be? Round to the nearest tenth of a metre. (ii) If physical planning laws require at least a 2-metre-wide border around a pool, would the contractor be able to satify both the client and the planning regulators? END OF ASSIGNMENT
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Chain Rule
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning