Question

lesson 7 practice problems
1 when the table here is complete, it shows four transactions and the resulting account balance in a bank account. fill in the missing numbers.

	transaction 1	transaction 2	transaction 3	transaction 4
account balance	360	337.50	182.35	-41.40

Explanation:

Step1: Analyze Transaction 2

We know that the initial balance (before Transaction 2) plus the transaction amount equals the new balance. Let the initial balance before Transaction 2 be \( B_2 \), transaction amount \( T_2=-22.50 \), and new balance \( B_2' = 337.50 \). So \( B_2+T_2=B_2' \), which means \( B_2=B_2' - T_2=337.50-(-22.50)=360 \)? Wait, no, actually, before Transaction 1, the balance is 360 (from Transaction 1: transaction amount 360, balance 360, so initial balance was 0? Wait, maybe the first transaction is a deposit: initial balance 0, deposit 360, balance becomes 360. Then Transaction 2: balance before is 360, transaction amount -22.50 (withdrawal), so balance after is \( 360 + (-22.50)=337.50 \), which matches. Good.

Step2: Analyze Transaction 3

Balance before Transaction 3 is 337.50 (after Transaction 2). Let transaction amount for Transaction 3 be \( T_3 \), balance after is 182.35. So \( 337.50+T_3 = 182.35 \), so \( T_3=182.35 - 337.50=-155.15 \). Wait, no: balance after = balance before + transaction amount. So \( 337.50+T_3 = 182.35 \implies T_3=182.35 - 337.50=-155.15 \).

Step3: Analyze Transaction 4

Balance before Transaction 4 is 182.35 (after Transaction 3). Transaction amount \( T_4=-41.40 \) (withdrawal), so balance after is \( 182.35+(-41.40)=140.95 \). Wait, but the problem is to fill in missing numbers. Let's list the missing parts:

• Transaction 3: transaction amount (missing). As above, \( 337.50 + T_3=182.35 \implies T_3=182.35 - 337.50=-155.15 \)
• Transaction 4: account balance (missing). \( 182.35+(-41.40)=140.95 \)
• Also, check Transaction 1: if initial balance is 0, transaction amount 360, balance 360 (correct, deposit).

Wait, let's re - structure:

1. Transaction 1:

• Transaction amount: 360 (deposit, so +360)
• Initial balance: 0
• Balance after: \( 0 + 360=360 \) (matches)

1. Transaction 2:

• Transaction amount: -22.50 (withdrawal, -22.50)
• Initial balance: 360 (from Transaction 1)
• Balance after: \( 360+(-22.50)=337.50 \) (matches)

1. Transaction 3:

• Initial balance: 337.50 (from Transaction 2)
• Balance after: 182.35
• Transaction amount: \( 182.35 - 337.50=-155.15 \) (so we fill - 155.15 in transaction 3 amount)

1. Transaction 4:

• Initial balance: 182.35 (from Transaction 3)
• Transaction amount: -41.40 (withdrawal)
• Balance after: \( 182.35+(-41.40)=140.95 \) (so we fill 140.95 in transaction 4 balance)

Answer:

• Transaction 3 amount: \(-155.15\)
• Transaction 4 balance: \(140.95\)