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Sagot :
Let's address the problem step by step.
### Part (a)
We need to calculate the interest on the unpaid balance from July.
1. Given Data:
- Unpaid balance from July: \[tex]$1319.30 - Monthly interest rate: 1.17% 2. Interest Calculation Formula: Interest = Unpaid balance × Monthly interest rate 3. Calculation: Interest = 1319.30 × (1.17 / 100) By performing this multiplication, the interest on the unpaid balance from July is \$[/tex]15.44.
### Part (b)
We need to calculate the unpaid balance for the September 1 statement. This will include the unpaid balance from July, the interest calculated in part (a), purchases in August, and payments made in August.
1. Given Data:
- Unpaid balance from July: \[tex]$1319.30 - Interest from part (a): \$[/tex]15.44
- Purchases made during August: \[tex]$230.90 - Payments made during August: \$[/tex]387.93
2. Unpaid Balance Calculation Formula:
Unpaid balance = (Unpaid balance from July + Interest from part (a) + Purchases made during August - Payments made during August)
3. Calculation:
Unpaid balance = 1319.30 + 15.44 + 230.90 - 387.93
Simplifying this, we get the unpaid balance for the September 1 statement is \[tex]$1177.71. ### Summary (a) The interest on the unpaid balance from July is \$[/tex]15.44.
(b) The unpaid balance on Manuel's September 1 statement is \[tex]$1177.71. So, the answers are: (a) \$[/tex]15.44
(b) \$1177.71
### Part (a)
We need to calculate the interest on the unpaid balance from July.
1. Given Data:
- Unpaid balance from July: \[tex]$1319.30 - Monthly interest rate: 1.17% 2. Interest Calculation Formula: Interest = Unpaid balance × Monthly interest rate 3. Calculation: Interest = 1319.30 × (1.17 / 100) By performing this multiplication, the interest on the unpaid balance from July is \$[/tex]15.44.
### Part (b)
We need to calculate the unpaid balance for the September 1 statement. This will include the unpaid balance from July, the interest calculated in part (a), purchases in August, and payments made in August.
1. Given Data:
- Unpaid balance from July: \[tex]$1319.30 - Interest from part (a): \$[/tex]15.44
- Purchases made during August: \[tex]$230.90 - Payments made during August: \$[/tex]387.93
2. Unpaid Balance Calculation Formula:
Unpaid balance = (Unpaid balance from July + Interest from part (a) + Purchases made during August - Payments made during August)
3. Calculation:
Unpaid balance = 1319.30 + 15.44 + 230.90 - 387.93
Simplifying this, we get the unpaid balance for the September 1 statement is \[tex]$1177.71. ### Summary (a) The interest on the unpaid balance from July is \$[/tex]15.44.
(b) The unpaid balance on Manuel's September 1 statement is \[tex]$1177.71. So, the answers are: (a) \$[/tex]15.44
(b) \$1177.71
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