When interest is continually compounded, at any time the amount of money increases proportionally to the amount present a). Calculate the amount collected at the end of five years, when $ 5000 is deposited into a savings account that yields 5 ¾% annual interest compounded continuously. b) In how many years will the initial capital have doubled? Rta. 6665.45; approx 12.05 years.  Please explain answer step by step.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
icon
Related questions
Question

When interest is continually compounded, at any time the amount of money increases proportionally to the amount present a). Calculate the amount collected at the end of five years, when $ 5000 is deposited into a savings account that yields 5 ¾% annual interest compounded continuously. b) In how many years will the initial capital have doubled? Rta. 6665.45; approx 12.05 years. 

Please explain answer step by step.

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage