/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 Ron did not pay his credit card ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Ron did not pay his credit card bill in full last month. He wants to pay it in full this month. On this month's bill, there is a mistake in the average daily balance. The credit card company lists the average daily balance on his bill as \(\$ 510.50\) . Ron computed it himself and found that it is \(\$ 410.50\) . a. The APR is 18\(\% .\) What finance charge did the credit card company compute on Ron's bill? b. If Ron's average daily balance is correct, what should the finance charge be?

Short Answer

Expert verified
According to the credit card company's balance, the finance charge should be approximately \$7.658. However, if Ron's correction is taken into account, the finance charge should be around \$6.158.

Step by step solution

01

Determination of provided values

In this problem, the given values are: the average daily balance according to the credit card company, which is \$510.50, the correct balance according to Ron, which is \$410.50, and the annual percentage rate (APR), which is 18\%.
02

Calculate the finance charge on the company's balance

The finance charge is calculated using the average daily balance and the APR. The typical formula is: Finance Charge = Average Daily Balance * (APR/100) * (1/12). Substituting the given values into the formula provides the finance charge according to the company's balance. So, Finance Charge = \$510.50 * (18/100) * (1/12) = \$7.658.
03

Calculate the finance charge on Ron's balance

To find what the finance charge should be according to Ron's correction, the same formula can be used. However, the average daily balance to be used is \$410.50. Therefore, Finance Charge = \$410.50 * (18/100) * (1/12) = \$6.158.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

APR (Annual Percentage Rate)
Understanding the APR is crucial when working with credit cards and loans. The APR, or Annual Percentage Rate, represents the annual rate charged for borrowing or earned through an investment, which includes any fees or additional costs associated with the transaction. It's essentially the annualized cost of the credit expressed as a percentage.

For credit card users, the APR helps to understand how much it will cost to borrow money if the full amount is not paid off every month. Credit card companies use the APR to calculate the interest that accrues on any outstanding balances, providing an annual rate that's broken down monthly to apply to your balance.
Average Daily Balance
When calculating finance charges on a credit card, the average daily balance method is commonly used. This method involves tracking the account balance day by day, adding up those daily balances, and then dividing that total by the number of days in the billing cycle.

The average part comes into play because the balance on a credit card can change day by day as charges and payments are made. By finding the average, credit card companies ensure that the finance charge reflects the borrower's day-to-day use of credit within the billing period. It's a fair way to assess interest based on the actual amount owed over time, rather than just the balance at the end of the billing cycle. When calculating the average daily balance yourself, ensure that all transactions within the billing period are included to avoid discrepancies like the one Ron encountered.
Credit Card Bill
A credit card bill, or statement, is a summary of all the transactions that have occurred on your credit card account during a billing cycle, usually spanning a month. It includes purchases, cash advances, payments, credits, and any incurred fees or finance charges.

Your credit card bill will also list the total balance, the minimum payment due, and the due date. It's important to review your bill carefully, as errors like the one Ron found can sometimes occur. If the bill is not paid in full by the due date, the remaining balance will be subject to finance charges based on the APR, as highlighted in Ron's situation. Always strive to pay your bill in full to avoid these charges. If you find a mistake, like an incorrect average daily balance, contact the credit card company immediately to have it corrected.
Interest Calculation
The interest calculation for a credit card is based on the APR and the average daily balance during the billing cycle. As demonstrated in Ron's case, the formula used is:
\[ \text{Finance Charge} = \text{Average Daily Balance} \times \left( \frac{\text{APR}}{100} \right) \times \left( \frac{1}{12} \right) \]
This calculation breaks down the annual interest rate to a monthly charge. Remember that this interest is applied only to the remaining balance if it's not paid in full.

It's important to use the correct average daily balance for accurate interest computations. If you’re like Ron and discover an error in your average daily balance, you should calculate your own finance charge and inform your creditor of the mistake. By being vigilant and understanding how to calculate the interest on your credit card, you can help ensure that you are being charged correctly.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Jennifer wants to borrow \(\$ 20,000 .\) Her bank offers a 7.1\(\%\) interest rate. She can afford \(\$ 500\) a month for loan payments. What should be the length of her loan to the nearest tenth of a year?

Lillian purchased a guitar from Smash Music Stores. It regularly sold for \(\$ 670\) , but was on sale at 10\(\%\) off. She paid 8\(\%\) tax. She bought it on the installment plan and paid 15\(\%\) of the total cost with tax as a down payment. Her monthly payments were \(\$ 58\) per month for one year. a. What is the discount? b. What is the sale price? c. What is the sales tax? d. What is the total cost of the guitar? e. What is the down payment? f. What is the total of the monthly payments? g. What is the total she paid for the guitar on the installment plan? h. What is the fi nance charge?

Lauren did not pay her January FlashCard bill in full, so her February bill has a finance charge added on. The average daily balance is \(\$ 510.44,\) and the monthly periodic rate is 2.5\(\% .\) What should Lauren's finance charge be on her February statement?

Kristin's credit rating was lowered, and the credit card company raised her APR from 12\(\%\) to 13.2\(\%\) . If her average daily balance this month is \(x\) dollars, express algebraically the increase in this month's finance charge due to the higher APR.

Arrange the following lending institutions in descending order according to their APRs for a \(\$ 10,000,\) two-year loan. \(\begin{array}{ll}{\text { East Meadow Savings }} & {9 \frac{1}{2} \%} \\\ {\text { Clinton Park Credit Union }} & {9 \%} \\ {\text { Tivoli Trust }} & {9 \frac{3}{8} \%} \\ {\text { First Bank of Rhinecliff }} & {9.45 \%} \\\ {\text { Columbia Consumer Finance Corp. }} & {9 \frac{9}{16} \%}\end{array}\)

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.