Let's break down the solution step by step to find the amount owed for the installment loan:
1. Identify the given values:
- Price of the Smart Television: \[tex]$1900.00
- Discount rate: 15%
- Down payment: \$[/tex]200.00
2. Calculate the discount amount:
- Discount amount = Price × Discount rate
- Discount amount = \[tex]$1900.00 × 0.15
- Discount amount = \$[/tex]285.00
3. Calculate the discounted price:
- Discounted price = Price - Discount amount
- Discounted price = \[tex]$1900.00 - \$[/tex]285.00
- Discounted price = \[tex]$1615.00
4. Calculate the amount owed after the down payment:
- Amount owed = Discounted price - Down payment
- Amount owed = \$[/tex]1615.00 - \[tex]$200.00
- Amount owed = \$[/tex]1415.00
Therefore, the amount owed for the installment loan after applying the discount and subtracting the down payment is \$1415.00.