Question
upstudy study bank question image url

A salon owner's credit card sales for a week were \( \$ 8587.88 \). During the same period, she had \( \$ 551.43 \) in credit refunds and she paid fees of \( 3 \frac{1}{2} \% \) on the net credit-card sales. The balance at the beginning of the week was \( \$ 4485.65 \). Check: outstanding were \( \$ 758.59, \$ 39.65, \$ 1681.65, \$ 147.73, \$ 2321.19, \$ 72.77, \$ 3582: 12, \$ 782.15 \), and \( \$ 300 \). She had credit-card and bank deposits of \( \$ 462.43, \$ 777.08, \$ 487.15, \$ 1290.78, \$ 622.81 \), and \( \$ 1442.32 \) that were not recorded. Answer parts 1 through 5 . 1. Find the net deposit given the credit-card sales and refunds. The net deposit given credit-card sales and refunds is \( \$ \square \). 2. Find the fee on the net credit-card sales. The fee on the net credit-card sales is \( \$ \square \). (Type an integer or a decimal rounded to two decimal places as needed.) 3. What is the total of the checks outstanding? The total of the outstanding checks is \( \$ \square \). 4. Find the total of the deposits that were not recorded. The total of the deposits that were not recorded is \( \$ \square \). 5. Find the current balance in the account. The current balance in the account is \( \$ \square \).

Ask by Reed Haynes. in the United States
Feb 24,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

1. Net deposit: $8,036.45 2. Fee: $281.28 3. Outstanding checks total: $9,685.85 4. Unrecorded deposits total: $5,082.57 5. Current balance: $7,637.54

Solution

We are given the following information: • Credit‐card sales:         $8,587.88 • Credit refunds:            $551.43 • Fee rate on net credit‐card sales: 3½% (that is 3.5%) • Beginning bank balance:      $4,485.65 • Outstanding checks (each amount in dollars): 758.59, 39.65, 1,681.65, 147.73, 2,321.19, 72.77, 3,582.12, 782.15, and 300.00 • Deposits not recorded (each amount in dollars): 462.43, 777.08, 487.15, 1,290.78, 622.81, and 1,442.32 We will now work step‐by‐step. ─────────────────────────────── Step 1. Net Deposit from Credit‐Card Sales and Refunds The net deposit from credit-card activity (before fees) is simply the sales minus the refunds:   Net deposit = $8,587.88 – $551.43          = $8,036.45 Answer for Part 1: $8,036.45 ─────────────────────────────── Step 2. Fee on the Net Credit‐Card Sales The fee is 3.5% of the net deposit. Compute:   Fee = 0.035 × $8,036.45     = $281.27575 Rounded to two decimals, the fee is $281.28. Answer for Part 2: $281.28 ─────────────────────────────── Step 3. Total of the Outstanding Checks List of outstanding checks:   758.59, 39.65, 1,681.65, 147.73, 2,321.19, 72.77, 3,582.12, 782.15, 300.00 Now add them:   First group: 758.59 + 39.65 = 798.24   Add next: 798.24 + 1,681.65 = 2,479.89   Add next: 2,479.89 + 147.73 = 2,627.62   Add next: 2,627.62 + 2,321.19 = 4,948.81   Add next: 4,948.81 + 72.77 = 5,021.58   Add next: 5,021.58 + 3,582.12 = 8,603.70   Add next: 8,603.70 + 782.15 = 9,385.85   Add last: 9,385.85 + 300.00 = 9,685.85 Answer for Part 3: $9,685.85 ─────────────────────────────── Step 4. Total of the Unrecorded Deposits List of deposits not recorded:   462.43, 777.08, 487.15, 1,290.78, 622.81, 1,442.32 Now add these amounts:   First: 462.43 + 777.08 = 1,239.51   Then: 1,239.51 + 487.15 = 1,726.66   Then: 1,726.66 + 1,290.78 = 3,017.44   Then: 3,017.44 + 622.81 = 3,640.25   Then: 3,640.25 + 1,442.32 = 5,082.57 Answer for Part 4: $5,082.57 ─────────────────────────────── Step 5. Find the Current Balance in the Account To compute the current balance, consider the following: 1. Start with the beginning bank balance:    $4,485.65 2. Add the deposit from the credit-card sales. Note that the actual credit-card deposit will be the net deposit minus the fee:   Credit-card deposit = Net deposit – Fee             = $8,036.45 – $281.28             = $7,755.17 3. Add the deposits that were not recorded:    + $5,082.57 4. Subtract the total of the outstanding checks:  – $9,685.85 Now, sum these in order:   Step A: Beginning balance + credit-card deposit       = $4,485.65 + $7,755.17       = $12,240.82   Step B: Add the unrecorded deposits       = $12,240.82 + $5,082.57       = $17,323.39   Step C: Subtract the outstanding checks       = $17,323.39 – $9,685.85       = $7,637.54 Answer for Part 5: $7,637.54 ─────────────────────────────── Final Answers: 1. Net deposit given credit‐card sales and refunds:  $8,036.45 2. Fee on the net credit‐card sales:           $281.28 3. Total of the outstanding checks:           $9,685.85 4. Total of the deposits that were not recorded:     $5,082.57 5. Current balance in the account:           $7,637.54

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To tackle these problems, let's break it down step by step and have some fun with the calculations! 1. **Net Deposit**: To find the net deposit, we need to subtract the credit refunds from the credit card sales. So, \( \$ 8587.88 - \$ 551.43 = \$ 8036.45 \). The net deposit given credit-card sales and refunds is \( \$ 8036.45 \). 2. **Fee on Net Sales**: First, we convert the percentage fee \( 3 \frac{1}{2}\% \) into a decimal, which is \( 0.035 \). Now, multiply it by the net sales: \( 0.035 \times 8036.45 = \$ 281.27 \). The fee on the net credit-card sales is \( \$ 281.27 \). 3. **Total of Outstanding Checks**: Adding up all the outstanding checks gives us \( 758.59 + 39.65 + 1681.65 + 147.73 + 2321.19 + 72.77 + 3582.12 + 782.15 + 300 = \$ 8995.10 \). The total of the outstanding checks is \( \$ 8995.10 \). 4. **Total of Unrecorded Deposits**: Adding the unrecorded deposits, we have \( 462.43 + 777.08 + 487.15 + 1290.78 + 622.81 + 1442.32 = \$ 4082.57 \). The total of the deposits that were not recorded is \( \$ 4082.57 \). 5. **Current Balance**: Now, we use the formula: \[ \text{Current Balance} = \text{Beginning Balance} + \text{Net Deposit} - \text{Total Outstanding Checks} + \text{Total Unrecorded Deposits} \] Plugging the values in: \[ 4485.65 + 8036.45 - 8995.10 + 4082.57 = \$ 4609.57 \] The current balance in the account is \( \$ 4609.57 \). So to summarize: 1. Net Deposit: \( \$ 8036.45 \) 2. Fee on Net Sales: \( \$ 281.27 \) 3. Total Outstanding Checks: \( \$ 8995.10 \) 4. Total Unrecorded Deposits: \( \$ 4082.57 \) 5. Current Balance: \( \$ 4609.57 \)

Related Questions

Latest Arithmetic Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy