Interest compounded monthly problem

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Homework Help Overview

The discussion revolves around a problem involving interest compounded monthly on a credit card balance of $2000 with a 24% annual interest rate. Participants are exploring how to calculate monthly payments to amortize the debt over three years and the implications of making only minimum payments.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the equations needed to calculate monthly payments and the future debt under different payment scenarios. There is an emphasis on showing work and relevant equations.

Discussion Status

Some participants have shared their equations and calculations for the first part of the problem, while others are seeking clarification on how to approach the second part regarding minimum payments. There is an ongoing exploration of the relationship between the two parts of the problem.

Contextual Notes

Participants are reminded to provide relevant equations and show their work, adhering to forum guidelines that discourage providing direct solutions.

CountNumberla
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Hi again!

Bob's credit card balance is $2000. Credit company charges 24% interest compounded monthly.

1) Amortize monthly payments to pay off in 3 years
I'm not sure how to write the equations on the board, but I get $78.47

2) If Bob only pays $25 monthly minimum, what will his debt be in 3 years?
No ideas...
 
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CountNumberla said:
Hi again!

Bob's credit card balance is $2000. Credit company charges 24% interest compounded monthly.

1) Amortize monthly payments to pay off in 3 years
I'm not sure how to write the equations on the board, but I get $78.47

2) If Bob only pays $25 monthly minimum, what will his debt be in 3 years?
No ideas...

You need to show us the equations you used to work out part 1. We do not do your homework for you here on the PF.

What are the Relevant Equations for this type of calculation. The Homework Help Template that you deleted in making your post ask for them.
 


I understand, if you see my other post, I AM doing the work myself.

Here's the equation I used:

2000(1 + .24/12)^36 = X [(1 + .24/12)^36 - 1] / (.24/12)

Im not sure what other equations to use for the 2nd problem.

thanks!
 


CountNumberla said:
I understand, if you see my other post, I AM doing the work myself.

Here's the equation I used:

2000(1 + .24/12)^36 = X [(1 + .24/12)^36 - 1] / (.24/12)

Im not sure what other equations to use for the 2nd problem.

thanks!

Yes, I did check your other post after seeing this one. Thanks for posting your work on #1. It seems like #2 is a similar extension of the same technique, but he is just not paying off enough to pay it down. Can you take a cut at an equation for #2?
 


I got it thanks!

2000(1 + .24/12)^36 = $4079.77

25[(1 + .24/12)^36 - 1] / (.24/12) = $1299.86

Therefore 4079.77 - 1299.86 = $2779.92

correct?
 

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