Question

1. original price of a telescope: $99.99 discount: 13%

Explanation:

To find the discounted price or the discount amount, we can follow these steps:

Step 1: Find the discount amount (if needed)

The discount is 13% of the original price. The formula for the discount amount \( D \) is:
\[
D = \text{Original Price} \times \text{Discount Rate}
\]
Substitute the original price (\( \$99.99 \)) and the discount rate (13% or \( 0.13 \)):
\[
D = 99.99 \times 0.13 \approx 12.9987 \approx 13.00
\]

Step 2: Find the discounted price (if needed)

The discounted price \( P \) is the original price minus the discount amount:
\[
P = \text{Original Price} - D
\]
Substitute the original price (\( \$99.99 \)) and the discount amount (\( \$13.00 \)):
\[
P = 99.99 - 13.00 = 86.99
\]

Or, we can calculate the discounted price directly by finding the percentage of the original price we pay (100% - 13% = 87% or \( 0.87 \)):
\[
P = 99.99 \times 0.87 \approx 86.99
\]

Final Answer (depending on what is being asked)

• Discount amount: Approximately \(\$13.00\)
• Discounted price: Approximately \(\$86.99\)

Answer:

To find the discounted price or the discount amount, we can follow these steps:

Step 1: Find the discount amount (if needed)

The discount is 13% of the original price. The formula for the discount amount \( D \) is:
\[
D = \text{Original Price} \times \text{Discount Rate}
\]
Substitute the original price (\( \$99.99 \)) and the discount rate (13% or \( 0.13 \)):
\[
D = 99.99 \times 0.13 \approx 12.9987 \approx 13.00
\]

Step 2: Find the discounted price (if needed)

The discounted price \( P \) is the original price minus the discount amount:
\[
P = \text{Original Price} - D
\]
Substitute the original price (\( \$99.99 \)) and the discount amount (\( \$13.00 \)):
\[
P = 99.99 - 13.00 = 86.99
\]

Or, we can calculate the discounted price directly by finding the percentage of the original price we pay (100% - 13% = 87% or \( 0.87 \)):
\[
P = 99.99 \times 0.87 \approx 86.99
\]

Final Answer (depending on what is being asked)

• Discount amount: Approximately \(\$13.00\)
• Discounted price: Approximately \(\$86.99\)