Refrigerator Finance 8A4Ad2
1. **State the problem:** We have a refrigerator priced at 1499 with a 12% interest rate over 18 months, a 6% discount, and a 20% down payment. We need to find the discount price, interest, monthly installments, down payment, and the high purchase price.
2. **Calculate the discount price:** The discount is 6% of 1499.
$$\text{Discount} = 1499 \times 0.06 = 89.94$$
The price after discount is:
$$\text{Discount Price} = 1499 - 89.94 = 1409.06$$
3. **Calculate the down payment:** The down payment is 20% of the discounted price.
$$\text{Down Payment} = 1409.06 \times 0.20 = 281.81$$
4. **Calculate the principal for interest:** The amount to finance is the discounted price minus the down payment.
$$\text{Principal} = 1409.06 - 281.81 = 1127.25$$
5. **Calculate the interest:** The interest rate is 12% over 18 months (1.5 years). Interest is calculated on the principal.
$$\text{Interest} = 1127.25 \times 0.12 = 135.27$$
6. **Calculate the high purchase price:** This is the principal plus interest.
$$\text{High Purchase Price} = 1127.25 + 135.27 = 1262.52$$
7. **Calculate the monthly installments:** The high purchase price is paid over 18 months.
$$\text{Monthly Installment} = \frac{1262.52}{18} = 70.14$$
**Final answers:**
- Discount Price: 1409.06
- Interest: 135.27
- Monthly Installments: 70.14
- Down Payment: 281.81
- High Purchase Price: 1262.52