Let's compare these expressions for some different values of n. Use technology to find the values in the tables below. Write out all of the digits your technology provides. Table (a): comparing the expressions for. 2% growth n (number of compoundings per year) (1+)" for r= 0.02 er for r = 0.02 %3D %3D 1.0201 l.0201 l.0202 Quarterly (n=4) Monthly (n=12) Daily (n=365) Hourly (n=8760) Lo0202 lo0202 1.0202 By the min. (n=525,600) By the sec. (n=31,536,000) Table (b): comparing the expressions for 12% growth n (number of compoundings per year) er for r= 0.12 (1+)"for r= 0.12 %3D Quarterly (n=4) Monthly (n=12) Daily (n=365) Hourly (n=8760) By the min. (n=525,600) By the sec. (n=31,536,000) What do you notice about (1 +)" and e"? In Summary: i11 hu ohlo to prove the following generalizations:
Let's compare these expressions for some different values of n. Use technology to find the values in the tables below. Write out all of the digits your technology provides. Table (a): comparing the expressions for. 2% growth n (number of compoundings per year) (1+)" for r= 0.02 er for r = 0.02 %3D %3D 1.0201 l.0201 l.0202 Quarterly (n=4) Monthly (n=12) Daily (n=365) Hourly (n=8760) Lo0202 lo0202 1.0202 By the min. (n=525,600) By the sec. (n=31,536,000) Table (b): comparing the expressions for 12% growth n (number of compoundings per year) er for r= 0.12 (1+)"for r= 0.12 %3D Quarterly (n=4) Monthly (n=12) Daily (n=365) Hourly (n=8760) By the min. (n=525,600) By the sec. (n=31,536,000) What do you notice about (1 +)" and e"? In Summary: i11 hu ohlo to prove the following generalizations:
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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Transcribed Image Text:Let's compare these expressions for some different values of n. Use technology to find the values in the
tables below. Write out all of the digits your technology provides.
Table (a): comparing the expressions for. 2% growth
n (number of
compoundings per year)
(1+)" for r= 0.02
er for r = 0.02
%3D
%3D
1.0201
l.0201
l.0202
Quarterly (n=4)
Monthly (n=12)
Daily (n=365)
Hourly (n=8760)
Lo0202
lo0202
1.0202
By the min. (n=525,600)
By the sec. (n=31,536,000)
Table (b): comparing the expressions for 12% growth
n (number of compoundings
per year)
er for r= 0.12
(1+)"for r= 0.12
%3D
Quarterly (n=4)
Monthly (n=12)
Daily (n=365)
Hourly (n=8760)
By the min. (n=525,600)
By the sec. (n=31,536,000)
What do you
notice about (1 +)" and e"?
In Summary:
i11 hu ohlo to prove the following generalizations:
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