What is the value of a $200 investment which earns continuous compound interest of 2.5% annually for 20 years? Round your answer down to the nearest cent.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.6: Other Types Of Equations
Problem 9ECP: You deposit $2500 in a long-term investment in which the interest is compounded monthly. After 5...
icon
Related questions
icon
Concept explainers
Topic Video
Question

What is the value of a $200 investment which earns continuous compound interest of 2.5% annually for 20 years? Round your answer down to the nearest cent.

Expert Solution
Step 1

It is given that the initial principal balance is $200 and the rate of interest of 2.5% annually.

The time period is 20 years.

The amount A=P1+rnnt Where P is principal, the rate of interest is 2.5 % per annually, time period t =20.

Substitute P=200, r=2.5100=0.025, t=20 and n=1 in A=P1+rnnt,

A=2001+0.02520A=2001.02520A=2001.6386A327.72A$327 and 72 cent.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
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:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College