Last month, Kaitlin's average daily balance on her credit card was $1,363.16. The annual interest rate on that credit card is 17.5%. The minimum payment on that card is the interest charge (in the image) plus 3.5% of the ending balance or $25, which ever is larger. If there were 29 days in that month and the ending balance was $1,833.73, what would be the minimum payment that Kaitlin could make? Round your answer to the nearest penny.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
icon
Related questions
Question

Last month, Kaitlin's average daily balance on her credit card was $1,363.16. The annual interest rate on that credit card is 17.5%. The minimum payment on that card is the interest charge (in the image) plus 3.5% of the ending balance or $25, which ever is larger. If there were 29 days in that month and the ending balance was $1,833.73, what would be the minimum payment that Kaitlin could make? Round your answer to the nearest penny.

The provided image contains a mathematical expression, typically related to financial calculations such as interest or growth rates. Here is the transcription and detailed explanation suitable for an educational website:

---

### Mathematical Expression:

\[ I = \overline{B} \cdot \frac{r}{365} \cdot n \]

#### Explanation:

This formula can be interpreted as representing an interest calculation or a similar financial computation. Below is a breakdown of the components in the equation:

- \( I \): The total interest or the final amount after the calculation.
- \( \overline{B} \): The average balance or the principal amount. The bar over B typically signifies an average value over a period.
- \( \frac{r}{365} \): The daily interest rate. Here, \( r \) is the annual interest rate, and it is divided by 365 to convert it into a daily rate.
- \( n \): The number of days for which the interest is being calculated.

This formula is commonly used in scenarios where interest needs to be computed on a daily basis, such as for savings accounts, loans, or investments that are compounded or calculated daily.

---

By using this formula, students can better understand how interest accumulates over time on a daily basis and can apply it to various financial contexts to determine earnings or costs associated with borrowing or investing money.
Transcribed Image Text:The provided image contains a mathematical expression, typically related to financial calculations such as interest or growth rates. Here is the transcription and detailed explanation suitable for an educational website: --- ### Mathematical Expression: \[ I = \overline{B} \cdot \frac{r}{365} \cdot n \] #### Explanation: This formula can be interpreted as representing an interest calculation or a similar financial computation. Below is a breakdown of the components in the equation: - \( I \): The total interest or the final amount after the calculation. - \( \overline{B} \): The average balance or the principal amount. The bar over B typically signifies an average value over a period. - \( \frac{r}{365} \): The daily interest rate. Here, \( r \) is the annual interest rate, and it is divided by 365 to convert it into a daily rate. - \( n \): The number of days for which the interest is being calculated. This formula is commonly used in scenarios where interest needs to be computed on a daily basis, such as for savings accounts, loans, or investments that are compounded or calculated daily. --- By using this formula, students can better understand how interest accumulates over time on a daily basis and can apply it to various financial contexts to determine earnings or costs associated with borrowing or investing money.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Effective Annual Rate Of Return
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
Fundamentals of Financial Management (MindTap Cou…
Finance
ISBN:
9781337395250
Author:
Eugene F. Brigham, Joel F. Houston
Publisher:
Cengage Learning
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Corporate Finance (The Mcgraw-hill/Irwin Series i…
Finance
ISBN:
9780077861759
Author:
Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor
Publisher:
McGraw-Hill Education