Suppose that $13,575 is invested at an interest rate of 5.3% per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is P(t) = (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The balance after 1 year is $. (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is $. (Simplify your answers. Round to two decimal places as needed.) The balance after 5 years is $. (Simplify your answers. Round to two decimal places as needed.) The balance after 10 years is $ (Simplify your answers. Round to two decimal places as needed.). COL c) The doubling time is years. (Simplify your answers. Round to one decimal place as needed.) Next Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | DOLL

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
icon
Related questions
Question
Suppose that $13,575 is invested at an interest rate of 5.3% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
a) The exponential growth function is P(t) =
(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
b) The balance after 1 year is $.
(Simplify your answers. Round to two decimal places as needed.)
The balance after 2 years is $.
(Simplify your answers. Round to two decimal places as needed.)
The balance after 5 years is $.
(Simplify your answers. Round to two decimal places as needed.)
The balance after 10 years is $
(Simplify your answers. Round to two decimal places as needed.).
C
c) The doubling time is
years.
(Simplify your answers. Round to one decimal place as needed.)
Next
Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |
Transcribed Image Text:Suppose that $13,575 is invested at an interest rate of 5.3% per year, compounded continuously. a) Find the exponential function that describes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function is P(t) = (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) b) The balance after 1 year is $. (Simplify your answers. Round to two decimal places as needed.) The balance after 2 years is $. (Simplify your answers. Round to two decimal places as needed.) The balance after 5 years is $. (Simplify your answers. Round to two decimal places as needed.) The balance after 10 years is $ (Simplify your answers. Round to two decimal places as needed.). C c) The doubling time is years. (Simplify your answers. Round to one decimal place as needed.) Next Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage