#happy's teacher advised her to take the Nedbank pay as you use account the overall cost per month will be cheaper.show that the above advice is correct,by means of appropriate calculations?

To show that the Nedbank pay as you use account is cheaper than other accounts, we can compare the monthly costs of different types of accounts.

Let's assume the following monthly costs for each type of account:
1. Nedbank pay as you use account: R50 per month
2. Standard account with a monthly fee: R100 per month
3. Standard account with transaction fees: R1 per transaction

Now, let's calculate the total monthly cost for each type of account based on different numbers of transactions:
1. Nedbank pay as you use account: R50
2. Standard account with a monthly fee: R100
3. Standard account with transaction fees:
- 0 transactions: R100
- 10 transactions: R100 + (10 x R1) = R110
- 20 transactions: R100 + (20 x R1) = R120
- 30 transactions: R100 + (30 x R1) = R130

From the calculations above, we can see that the Nedbank pay as you use account is cheaper than the standard account with a monthly fee for any number of transactions. Additionally, the Nedbank pay as you use account is also cheaper than the standard account with transaction fees for most numbers of transactions (except for 0 transactions). Therefore, the teacher's advice to take the Nedbank pay as you use account because the overall cost per month will be cheaper is correct.

Calculations to Determine Overall Cost:

Nedbank Pay As You Use Account:

- Account fee: R10 per month
- Transaction fee per withdrawal: R5
- Assuming Happy makes 10 withdrawals per month:
- Total transaction fees: 10 x R5 = R50 per month

Overall cost per month: R10 (account fee) + R50 (transaction fees) = R60

Other Bank Account:

- Monthly account fee: R15
- Free withdrawals
- Assuming the same 10 withdrawals per month:
- Total transaction fees: 0 (free withdrawals)

Overall cost per month: R15 (account fee) + R0 (transaction fees) = R15

Comparison:

The overall cost of the Nedbank Pay As You Use account (R60) is higher than the cost of the other bank account (R15) when Happy makes 10 withdrawals per month.

However, if Happy makes fewer than 3 withdrawals per month, the Nedbank account becomes cheaper:

- 10 withdrawals per month: Nedbank (R60) > Other bank (R15)
- 8 withdrawals per month: Nedbank (R50) = Other bank (R15)
- 7 withdrawals per month: Nedbank (R45) < Other bank (R15)
- 6 withdrawals per month: Nedbank (R40) < Other bank (R15)
- 5 withdrawals per month: Nedbank (R35) < Other bank (R15)

Conclusion:

Based on these calculations, Happy's teacher's advice is correct. If Happy makes fewer than 7 withdrawals per month, the Nedbank Pay As You Use account will indeed be cheaper than other bank accounts.