a. Suppose I have two personal debts, a $100 debt with a relative and a $50 debt with a friend. Demonstrate how to calculate your total debt by adding signed numbers. b. Suppose you have a checking account with a bank that allows you to keep a negative balance when your withdrawals (money taken out) are greater than the amount you currently have in your account. Your current balance is $25, but a $40 withdrawal has just occurred. Demonstrate how to calculate your new balance by adding signed numbers. C. Now suppose your current balance is -15 dollars and a $20 wvithdrawal occurs. Demonstrate how to calculate your new balance by adding signed numbers.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Understanding Positive and Negative Numbers in Financial Contexts

When dealing with finances, adding positive and negative numbers can help manage and understand debts (the amount owed). A borrowed amount is considered a debt and represented as a negative number.

#### Example Explanation
If you borrow $100 from a relative, you are $100 in debt, represented as -$100. 

### Exercise Scenarios

**a. Calculating Total Debt**
- Suppose you have two debts:
  - $100 debt with a relative
  - $50 debt with a friend
- To find your total debt:
  - Add the signed numbers: -$100 + (-$50) = -$150

**b. New Bank Balance After Withdrawal**
- Imagine a checking account with a negative balance allowance:
  - Current balance: $25
  - Withdrawal made: $40
- Calculate the new balance:
  - $25 + (-$40) = -$15

**c. New Balance After Withdrawal with Negative Start**
- Current balance: -$15
- Withdrawal: $20
- New balance:
  - -$15 + (-$20) = -$35

**d. New Balance After Deposit with Negative Start**
- Current balance: -$35
- Deposit: $120
- New balance:
  - -$35 + $120 = $85

**e. Analyzing Calculations**
- Review calculations from parts a and c. Identify the rules applied in adding positive and negative numbers for financial balance management.
Transcribed Image Text:### Understanding Positive and Negative Numbers in Financial Contexts When dealing with finances, adding positive and negative numbers can help manage and understand debts (the amount owed). A borrowed amount is considered a debt and represented as a negative number. #### Example Explanation If you borrow $100 from a relative, you are $100 in debt, represented as -$100. ### Exercise Scenarios **a. Calculating Total Debt** - Suppose you have two debts: - $100 debt with a relative - $50 debt with a friend - To find your total debt: - Add the signed numbers: -$100 + (-$50) = -$150 **b. New Bank Balance After Withdrawal** - Imagine a checking account with a negative balance allowance: - Current balance: $25 - Withdrawal made: $40 - Calculate the new balance: - $25 + (-$40) = -$15 **c. New Balance After Withdrawal with Negative Start** - Current balance: -$15 - Withdrawal: $20 - New balance: - -$15 + (-$20) = -$35 **d. New Balance After Deposit with Negative Start** - Current balance: -$35 - Deposit: $120 - New balance: - -$35 + $120 = $85 **e. Analyzing Calculations** - Review calculations from parts a and c. Identify the rules applied in adding positive and negative numbers for financial balance management.
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