The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804 % . At this rate, the population P t (in millions) can be approximated by P t = 34 1.00804 t , where t is the time in years since 2010. a. Is the graph of P an increasing or decreasing exponential function? b. Evaluate P 0 and interpret its meaning in the context of this problem. c. Evaluate P 5 and interpret its meaning in the context of this problem Round the population value to the nearest million. d. Evaluate P 15 and P 25 .
The population of Canada in 2010 was approximately 34 million with an annual growth rate of 0.804 % . At this rate, the population P t (in millions) can be approximated by P t = 34 1.00804 t , where t is the time in years since 2010. a. Is the graph of P an increasing or decreasing exponential function? b. Evaluate P 0 and interpret its meaning in the context of this problem. c. Evaluate P 5 and interpret its meaning in the context of this problem Round the population value to the nearest million. d. Evaluate P 15 and P 25 .
Solution Summary: The author analyzes whether the graph of the function for the population of Canada is an increasing or decreasing exponential function.
The population of Canada in 2010 was approximately 34 million with an annual growth rate of
0.804
%
. At this rate, the population
P
t
(in millions) can be approximated by
P
t
=
34
1.00804
t
,
where t is the time in years since 2010.
a. Is the graph of P an increasing or decreasing exponential function?
b. Evaluate
P
0
and interpret its meaning in the context of this problem.
c. Evaluate
P
5
and interpret its meaning in the context of this problem Round the population value to the nearest million.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
College Algebra with Modeling & Visualization (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY