Question

Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time. $662 per month invested at 6%, compounded monthly, for 6 years; then $790 per month invested at 7%, compounded monthly, for 6 years. What is the amount in the account after 12 years? $ (Round to the nearest dollar as needed.)

          Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time.
$662 per month invested at 6%, compounded monthly, for 6 years; then $790 per month invested at 7%, compounded monthly, for 6 years.
What is the amount in the account after 12 years?
$ (Round to the nearest dollar as needed.)
        
Show more…
Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time.
662 per month invested at 6%, compounded monthly, for 6 years; then $790 per month invested at 7%, compounded monthly, for 6 years.
What is the amount in the account after 12 years? (Round to the nearest dollar as needed.)

Added by Patricia H.

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
Find the final amount in the folowing retirement account, in which the rate ofreturn on the account and the regular contribution change over time $662 per month invested at 6%,compounded monthly,for 6 years;then $790 per month invested at 7%,compounded monthly,for 6 years. What is the amount in tho account after 12 years? S(Round to the nearest dollar as needed.)
Close icon
Play audio
Feedback
Powered by NumerAI
Jennifer Stoner Ivan Kochetkov
Kathleen Carty verified

Adi S and 93 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

-
find-the-final-amount-in-the-following-retirement-account-in-which-the-rate-of-return-on-the-account-and-the-regular-contribution-change-over-time-605-per-month-invested-at-4-compounded-mont-98794

Adi S.

find-the-final-amount-in-the-following-retirement-account-in-which-the-rate-of-return-on-the-account-and-the-regular-contribution-change-over-time-640-per-month-invested-at-4-compounded-mont-65152

Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time. $640 per month invested at 4 %, compounded monthly, for 7 years; then $784 per month invested at 7 %, compounded monthly, for 7 years. Find the amount in the account after 14 years.

Danielle F.

find-the-final-amount-in-the-following-retirement-account-in-which-the-rate-of-return-on-the-account-and-the-regular-contribution-change-over-time-1300-per-quarter-invested-at-52-compounded-46416

Find the final amount in the following retirement account, in which the rate of return on the account and the regular contribution change over time. $1300 per quarter invested at 5.2%, compounded quarterly, for 12 years; then $1700 per quarter invested at 7.1%, compounded quarterly, for 15 years Find the final amount in the account. (Do not round until the final answer. Then round to the nearest dollar as needed.)

Sri K.


*

Recommended Textbooks

-
Calculus: Early Transcendentals

Calculus: Early Transcendentals

James Stewart 8th Edition
achievement 1,215 solutions
Calculus: Early Transcendentals

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard Gillet 3rd Edition
achievement 1,662 solutions
Thomas Calculus

Thomas Calculus

George B. Thomas Jr. 14th Edition
achievement 1,629 solutions

*

Transcript

-
00:01 In this question, we are given that t equals to 6 into 12, we get 72, n equals to 12 and r equals to 4 percent which is equals to 0 .04.
00:23 Payment equals to dollars 605.
00:33 Now we know that, know that fv equals to pnt multiplied by 1 plus r by n whole power nt minus 1 divided by r by n.
01:06 So here, amount after 6 years will be equals to 605 into 1 plus 0 .04 by 12 whole power 72 minus 1 divided by 0 .04 by 12 which is equals to 605 into 1 plus 0 .0033 power 72 minus 1 divided by 0 .0033.
02:05 We get 49 ,139 .65105.
02:16 This amount will accumulate for another 6 years at 7 percent.
02:24 Hence, r equals to 0 .07 and n equals to 12, t equals to 72...
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