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Gary and Ann have a joint checking account. Their balance at the beginning of October was 9,145.87 dollar . During the month they made deposits totaling 2,783.7 dollar, wrote checks totaling 4,871.90 dollar , paid a maintenance fee of 12 dollar, and earned 11.15 dollar in interest on the account. What was the balance at the end of the month?

Short Answer

Expert verified
The balance at the end of the month is \$7056.82.

Step by step solution

01

Add the Deposits and Initial Balance

Add the total deposits (\$2,783.7) to the initial balance (\$9,145.87). This gives a total of \$11,929.57.
02

Add the Interest

Add the earned interest (\$11.15) to the balance from Step 1. This gives a total of \$11,940.72.
03

Subtract Check Amounts and Maintenance Fee

Subtract the total of the checks (\$4871.9) and the maintenance fee (\$12) from the balance from Step 2. This gives a total of \$7056.82.

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Key Concepts

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

Bank Reconciliation
Understanding the concept of bank reconciliation is crucial for anyone managing a checking account. This process involves comparing the account holder's records with the bank's records to ensure accuracy and consistency between the two. Reconciliation helps in identifying any discrepancies, such as unaccounted fees, fraudulent transactions, or deposits that have not cleared.

For individuals like Gary and Ann with a joint checking account, periodic reconciliation ensures their balance reflects all transactions. When they monitor their balance at the beginning and end of the month, they should also account for external factors like bank fees and interest apart from their deposits and withdrawals. By methodically going through each transaction, they can confirm whether their records match up with the bank's and address any differences found—ensuring a clear and accurate financial position at month-end.
Financial Management Education
While tackling tasks such as calculating account balance, one realizes the importance of financial management education. It encompasses essential skills like budgeting, analyzing financial statements, and understanding the impact of interest rates on savings and loans. Practical knowledge of these elements empowers individuals to make informed decisions about their finances.

In educational terms, going through step-by-step scenarios, like the one Gary and Ann face, serves as a real-life application of financial concepts. A well-rounded financial education would teach them not only to calculate their end-of-month balance but also to plan for future financial needs, set up emergency funds, and consider the effects of different banking fees and interest rates on their overall finances.
Interest Calculation
When it comes to maintaining a checking account, interest calculation plays a pivotal role in financial growth and saving strategies. While checking accounts are known for their liquidity, some do earn a nominal amount of interest, as seen with Gary and Ann's account.

Interest on a checking account is typically calculated using the account's daily balance, and the rate is often compounded monthly. In the illustration, the couple earned an interest of \(11.15\) dollar. Understanding how this figure contributes to their monthly finances is part of sound financial management. It's important for students to grasp how even small amounts of earned interest can accumulate over time, contributing positively to their financial well-being.

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Most popular questions from this chapter

Mason discovered that when he recorded a deposit of \(\$ 75\) two weeks ago, he mistakenly subtracted it from the running total in his check register. He decided that he would write a new entry after his most recent entry and add \(\$ 75 .\) Will this correct his mistake? Explain.

When comparing his check register to his bank statement, Donte found that he had failed to record deposits of \(\$ 55.65, \$ 103.50\) , and \(\$ 25.00\) . What is the total of these amounts and how will he use this information to reconcile his account?

Assume \(\$ 20,000\) is deposited into a savings account. Bedford Bank offers an annual rate of 4\(\%\) simple interest for five years. Slick Bank offers a rate of 20\(\%\) simple interest for one year. Which earns more interest?

Anna has a checking account at Garden City Bank. Her balance at the beginning of February was \(\$ 5,195.65 .\) During the month, she made deposits totaling \(\$ 6,873.22,\) wrote checks totaling \(c\) dollars, was charged a maintenance fee of \(\$ 15,\) and earned \(\$ 6.05\) in interest. Her balance at the end of the month was \(\$ 4,200.00 .\) What is the value of \(c ?\)

Caroline is opening a CD to save for college. She is considering a 3 -year \(\mathrm{CD}\) or a 3\(\frac{1}{2}\) -year CD since she starts college around that time. She needs to be able to have the money to make tuition payments on time, and she does not want to have to withdraw money early from the CD and face a penalty. She has \(\$ 19,400\) to deposit. a. How much interest would she earn at 4.2\(\%\) compounded monthly for three years? Round to the nearest cent. b. How much interest would she earn at 4.2\(\%\) compounded monthly for 3\(\frac{1}{2}\) years? Round to the nearest cent. c. Caroline decides on a college after opening the 3\(\frac{1}{2}\) -year \(\mathrm{CD},\) and the college needs the first tuition payment a month before the \(\mathrm{CD}\) matures. Caroline must withdraw money from the CD early, after 3 years and 5 months. She faces two penalties. First, the interest rate for the last five months of the CD was lowered to 2\(\%\) . Additionally, there was a \(\$ 250\) penalty. Find the interest on the last five months of the CD. Round to the nearest cent. d. Find the total interest on the 3\(\frac{1}{2}\) year CD after 3 years and 5 months. e. The interest is reduced by subtracting the \(\$ 250\) penalty. What does the account earn for the 3 years and 5 months? f. Find the balance on the CD after she withdraws \(\$ 12,000\) after 3 years and five months. g. The final month of the CD receives 2\(\%\) interest. What is the final month's interest? Round to the nearest. What is the final month's interest? Round to the nearest cent. h. What is the total interest for the 3\(\frac{1}{2}\) year \(\mathrm{CD} ?\) i. Would Caroline have been better off with the 3 -year CD? Explain?

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