Questions: What is the amount owed for an installment loan to purchase the item described in the table?
Transcript text: What is the amount owed for an installment loan to purchase the item described in the table?
Solution
Solution Steps
Step 1: Calculate the Discounted Price
The price of the smart television is given as \( P = 1900.00 \). The discount is \( 15\% \). To find the discounted price, we calculate:
\[
\text{Discounted Price} = P \times \left(1 - \frac{15}{100}\right) = 1900.00 \times 0.85 = 1615.00
\]
Step 2: Calculate the Amount Owed
The down payment made is \( D = 200.00 \). The amount that needs to be financed is calculated by subtracting the down payment from the discounted price:
\[
\text{Amount Owed} = \text{Discounted Price} - D = 1615.00 - 200.00 = 1415.00
\]
Final Answer
The total amount owed for the installment loan to purchase the smart television is \\(\boxed{1415.00}\\).