A principal P, invested at 8 1 2% and compounded continuously, increases to an amount K times the original principal after t years, where t = ln(K)/0.085. (a) Complete the table. (Round your answers to one decimal place.) K 1 2 4 6 8 10 12 t Interpret your result. The number of years required to multiply the original investment by K increases with K. However, the ? the value of K the fewer the years required to increase the value of the investment by an additional multiple of the original investment. (b) Sketch a graph of the function.
A principal P, invested at 8 1 2% and compounded continuously, increases to an amount K times the original principal after t years, where t = ln(K)/0.085. (a) Complete the table. (Round your answers to one decimal place.) K 1 2 4 6 8 10 12 t Interpret your result. The number of years required to multiply the original investment by K increases with K. However, the ? the value of K the fewer the years required to increase the value of the investment by an additional multiple of the original investment. (b) Sketch a graph of the function.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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Question
A principal P, invested at
8
%
| 1 |
| 2 |
and compounded continuously, increases to an amount K times the original principal after t years, where
t = ln(K)/0.085.
(a) Complete the table. (Round your answers to one decimal place.)
Interpret your result.
(b) Sketch a graph of the function.
| K | 1 | 2 | 4 | 6 | 8 | 10 | 12 |
|---|---|---|---|---|---|---|---|
| t |
Interpret your result.
The number of years required to multiply the original investment by K increases with K. However, the ? the value of K the fewer the years required to increase the value of the investment by an additional multiple of the original investment.
(b) Sketch a graph of the function.
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