Question

Rate of Return on an Investment Suppose an investment is expected to generate income at the rate of P(t) = 50,000 + 700t dollars/year for the next 5 years. Find the present value of the income from this investment if the prevailing interest rate is 2% per year compounded continuously. (Round your answer to the nearest dollar.)

          Rate of Return on an Investment

Suppose an investment is expected to generate income at the rate of P(t) = 50,000 + 700t dollars/year for the next 5 years. Find the present value of the income from this investment if the prevailing interest rate is 2% per year compounded continuously. (Round your answer to the nearest dollar.)
        
Show more…

Added by Tina Y.

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
Rate of Return on an Investment Suppose an investment is expected to generate income at the rate of P(t) = 50,000 + 700t dollars/year for the next 5 years. Find the present value of the income from this investment if the prevailing interest rate is 2% per year compounded continuously. (Round your answer to the nearest dollar.)
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Kathleen Carty
Danielle Fairburn verified

Sri K and 85 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

-
suppose-an-investment-is-expected-to-generate-income-at-the-rate-of-rt-200000-dollarsyear-for-the-next-5-years-find-the-present-value-of-this-investment-if-the-prevailing-interest-rate-is-4y-16329

Suppose an investment is expected to generate income at the rate of R(t) = 200,000 dollars/year for the next 5 years. Find the present value of this investment if the prevailing interest rate is 4%/year compounded continuously. (Round your answer to the nearest whole number.)

Keondre P.

problem-17-rate-of-return-on-an-investment_-suppose-an-investment-is-expected-to-generate-income-at-the-rate-of-pt-60000-300t-dollarsyear-for-the-next-2-years-find-the-present-value-of-the-i-29119

Problem. 17 : Rate of Return on an Investment. Suppose an investment is expected to generate income at the rate of P(t) = 60000 +300t dollars/year for the next 2 years. Find the present value of the income from this investment if the prevailing interest rate is 2%/year compounded continuously. (Round your answer to the nearest dollar.)

Babita K.

present-value-of-an-investment-suppose-an-investment-is-expected-to-generate-income-at-the-rate-of-rt-200000-dollarsyear-for-the-next-5-years-find-the-present-value-of-this-investment-the-pr-93576

Shaiju T.


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,875 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,187 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,614 solutions

*

Transcript

-
00:01 Present value formula pv is equal to integral 0 to t, integral 0 to t, p of t multiplied by e power minus r t, multiplied by d t, multiplied by t.
00:17 So here, p of t is nothing but the income rate, income rate which is given to be 50 ,000 plus 700 t, 50 ,000.
00:30 Plus 700 t r is equal to r is equal to interest rate r is equal to interest rate which is nothing but 2 percentage which is nothing but 2 percentage and time t is nothing but time in years which is nothing but 5 years therefore the present value has been obtained pv present values present values equal to integral 0 to 5 is integral 0 to 5 50 ,000 plus 700 t multiplied by e power minus 2 t multiplied by d t.
01:22 So we can split these two in terms of two integrals and we can solve them separately and we can solve them separately and we can solve them...
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