A family invests $10,000 in a bank at a rate of 4% compounded continuously. (Round your answer to the nearest cents and nearest years) (a) How much will be in the account after 6 years? (b) How much interest will be earned after 6 years? (c) How long will it take the family investment to reach $15,000 ?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 94E
icon
Related questions
Question
: cents and
(1) A family invests $10,000 in a bank at a rate of 4% compounded continuously. (Round your answer to the
nearest years)
(a) How much will be in the account after 6 years?
(b) How much interest will be earned after 6 years?
(c) How long will it take the family investment to reach $15,000 ?
(d) Does the time it takes to triple the investment depend on the principal that the family invested? Why or why not?
Transcribed Image Text:: cents and (1) A family invests $10,000 in a bank at a rate of 4% compounded continuously. (Round your answer to the nearest years) (a) How much will be in the account after 6 years? (b) How much interest will be earned after 6 years? (c) How long will it take the family investment to reach $15,000 ? (d) Does the time it takes to triple the investment depend on the principal that the family invested? Why or why not?
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Inequality
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill