Question

question 12 (3 points) retake question ✔ saved a discount clothing store buys shirts and slacks with a list price of $12,750. if the wholesaler offers trade discounts of 15/25/15, find the single equivalent discount. 0.352852 0.444375 0.357896 0.458125 next incorrect question question 16 (2 points) retake question find the net date for an invoice dated august 7, with terms 4/20, 50 extra. august 27 october 16 september 16 november 5

Explanation:

Question 12

Step 1: Understand the trade discount formula

The formula for single equivalent discount rate \( d \) when there are multiple trade discounts \( d_1, d_2, d_3 \) is:
\( d = 1 - (1 - d_1)(1 - d_2)(1 - d_3) \)
Here, \( d_1 = 0.15 \), \( d_2 = 0.25 \), \( d_3 = 0.15 \).

Step 2: Calculate \( (1 - d_1) \)

\( 1 - 0.15 = 0.85 \)

Step 3: Calculate \( (1 - d_2) \)

\( 1 - 0.25 = 0.75 \)

Step 4: Calculate \( (1 - d_3) \)

\( 1 - 0.15 = 0.85 \)

Step 5: Multiply the three results

\( 0.85 \times 0.75 \times 0.85 = 0.85 \times 0.6375 = 0.541875 \)

Step 6: Find the single equivalent discount

\( 1 - 0.541875 = 0.458125 \)

Question 16

1. Understand the terms: "4/20, 50 Extra" means the net period is the discount period (20 days) plus an extra 50 days.
2. Calculate the net date:

• Invoice date: August 7.
• Discount period: 20 days from August 7 is August 27.
• Add extra 50 days: August has 31 days, so from August 27 to August 31: \( 31 - 27 = 4 \) days remaining in August.
• September has 30 days, so after August, we have \( 50 - 4 = 46 \) days left. But September only has 30 days, so \( 46 - 30 = 16 \) days into October.
• Thus, the net date is October 16.

Answer:

s:
Question 12: \( \boldsymbol{0.458125} \)
Question 16: \( \boldsymbol{\text{October 16}} \)