Question

Assuming an interest rate of 5% compounded continuously, answer the following questions. (a) Find the future value in 10 years of a payment of $12,000 made today. Round your answer to two decimal places. $ 19784.66 (b) Find the future value of an income stream of $1200 per year over 10 years. Round your answer to two decimal places. $ 15183.32 (c) Which is larger, the future value from the lump sum in part (a) or from the income stream in part (b)? W financially?

          Assuming an interest rate of 5% compounded continuously, answer the following questions.

(a) Find the future value in 10 years of a payment of $12,000 made today.
Round your answer to two decimal places.
$ 19784.66

(b) Find the future value of an income stream of $1200 per year over 10 years.
Round your answer to two decimal places.
$ 15183.32

(c) Which is larger, the future value from the lump sum in part (a) or from the income stream in part (b)? W financially?
        
Show more…
Assuming an interest rate of 5% compounded continuously, answer the following questions.

(a) Find the future value in 10 years of a payment of 12,000 made today.
Round your answer to two decimal places. 19784.66

(b) Find the future value of an income stream of 1200 per year over 10 years.
Round your answer to two decimal places. 15183.32

(c) Which is larger, the future value from the lump sum in part (a) or from the income stream in part (b)? W financially?

Added by Luis Miguel B.

Close

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
Assuming an interest rate of 5% compounded continuously, answer the following questions. (a) Find the future value in 10 years of a payment of $12,000 made today. Round your answer to two decimal places. $ 19784.66 (b) Find the future value of an income stream of $1200 per year over 10 years. Round your answer to two decimal places. $ 15183.32 (c) Which is larger, the future value from the lump sum in part (a) or from the income stream in part (b)? W financially?
Close icon
Play audio
Feedback
Powered by NumerAI
Kathleen Carty Ivan Kochetkov
Jennifer Stoner verified

Penny Riley and 62 other subject Calculus 1 / AB educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
a-find-the-present-and-future-value-of-an-income-stream-of-6000-per-year-for-a-period-of-10-years-if

(a) Find the present and future value of an income stream of $\$ 6000$ per year for a period of 10 years if the interest rate, compounded continuously, is $5 \%$ (b) How much of the future value is from the income stream? How much is from interest?

Applied Calculus

Antiderivatives and Applications

Application: Present and Future Value

a-find-the-present-and-future-value-of-an-income-stream-of-6000-per-year-for-a-period-of-10-years-if-33948

(a) Find the present and future value of an income stream of $\$ 6000$ per year for a period of 10 years if the interest rate, compounded continuously, is $5 \%$ (b) How much of the future value is from the income stream? How much is from interest?

Madhur L.

a-find-the-present-and-future-value-of-an-income-stream-of-6000-per-year-for-a-period-of-10-years-if

(a) Find the present and future value of an income stream of $\$ 6000$ per year for a period of 10 years if the interest rate, compounded continuously, is $5 \%$ (b) How much of the future value is from the income stream? How much is from interest?

Applied Calculus

Antiderivatives and Applications

Application: Present and Future Value


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,432 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,440 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,019 solutions

*

Transcript

-
00:01 Find the future value of an income stream of 12 ,000 or 1200 per year over 10 years.
00:07 So our future value is going to be our initial value of 1 ,200 times e to the 0 .5 % minus 1.
00:18 Divided by e to the 0 .05 minus 1.
00:28 So now let's plug that into a calculator.
00:31 We have 1 ,200 times e to the 0 .5 minus 1...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever