[Geogebra Question] Let's use Geogebra to compose two complicated functions an determine the specific values in Question 68 of the textbook on page 76. A study pre pared for the National Association of Realtors estimated that the number of housing starts per year over the next 5 years will be 7 N(r) 1+ 0.02r² million units, where r (percent) is the mortgage rate. Suppose the mortgage rate months from now will be 5t + 75 r(t) : (0
[Geogebra Question] Let's use Geogebra to compose two complicated functions an determine the specific values in Question 68 of the textbook on page 76. A study pre pared for the National Association of Realtors estimated that the number of housing starts per year over the next 5 years will be 7 N(r) 1+ 0.02r² million units, where r (percent) is the mortgage rate. Suppose the mortgage rate months from now will be 5t + 75 r(t) : (0
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,...
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![7. [Geogebra Question] Let's use Geogebra to compose two complicated functions and
determine the specific values in Question 68 of the textbook on page 76. A study pre-
pared for the National Association of Realtors estimated that the number of housing
starts per year over the next 5 years will be
7
N(r):
1+ 0.02r2
million units, where r (percent) is the mortgage rate. Suppose the mortgage rate t
months from now will be
5t + 75
r(t):
(0 <t< 24)
t + 10
percent per year.
(a) Find an expression for the number of housing starts per year as a function of t,
t months from now.
Open the new Geogebra CAS, click the + button and click Expression.
Define the number of housing starts as the function N(r) using the command
N(r)=7
then press backlash (/) and then
(1+0.02r^2)
for the denominator
The mortgage rate is the function r(t). Define this function using the com-
mand](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a3d10a6-318c-4cf6-bdaf-0ea8ae7cc0b6%2F69761275-c587-433c-8707-2b1df9d2bcfb%2Fqfm5fn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. [Geogebra Question] Let's use Geogebra to compose two complicated functions and
determine the specific values in Question 68 of the textbook on page 76. A study pre-
pared for the National Association of Realtors estimated that the number of housing
starts per year over the next 5 years will be
7
N(r):
1+ 0.02r2
million units, where r (percent) is the mortgage rate. Suppose the mortgage rate t
months from now will be
5t + 75
r(t):
(0 <t< 24)
t + 10
percent per year.
(a) Find an expression for the number of housing starts per year as a function of t,
t months from now.
Open the new Geogebra CAS, click the + button and click Expression.
Define the number of housing starts as the function N(r) using the command
N(r)=7
then press backlash (/) and then
(1+0.02r^2)
for the denominator
The mortgage rate is the function r(t). Define this function using the com-
mand
Transcribed Image Text:r(t)=(5*t+75), then press backlash (/) and then (t+10) for the denomina-
tor
Define the composition function using the command
N(r(t))
(b) Using the result from part (a), determine the number of housing starts 12 months
from now and 18 months from now.
To determine the number of housing starts 12 months from now, (t = 12), use
the command
N(r(12))
The number of housing started t = 12 is the output. Determine the number
of housing started at 18 months by modifying this code. Save a screenshot. Title
as Question 7
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