If income is continuously collected at a rate of f(t) dollars per year and will be invested at a constant interest rate r (compounded continuously) for a period of 7 years, then the future value of the income is given f(t) e(T-t)dt. Compute the future value (in dollars) after 8 years for income received at a rate of f(t) = 9,000e0.05t dollars per year and invested at 6.9% interest. (Round your answer to the nearest cent.) y [ f(t) er²t $ Need Help? Read It

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 4PT: An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded...
icon
Related questions
Question
If income is continuously collected at a rate of f(t) dollars per year and will be invested at a constant interest rate r (compounded continuously) for a period of 7 years, then the future value of the income is given
yff(t) erT-Ddt. Compute the future value (in dollars) after 8 years for income received at a rate of f(t) = 9,000€0.0st dollars per year and invested at 6.9% interest. (Round your answer to the nearest cent.)
$
Need Help? Read It
Transcribed Image Text:If income is continuously collected at a rate of f(t) dollars per year and will be invested at a constant interest rate r (compounded continuously) for a period of 7 years, then the future value of the income is given yff(t) erT-Ddt. Compute the future value (in dollars) after 8 years for income received at a rate of f(t) = 9,000€0.0st dollars per year and invested at 6.9% interest. (Round your answer to the nearest cent.) $ Need Help? Read It
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
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