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Four different stores have the same digital camera on sale. The original price and discounts offered by each store are listed below. Rank the stores from the cheapest to most expensive sale price of the camera.

Store A: price [tex]$\$[/tex]99.99[tex]$ and discount of $[/tex]15\%[tex]$
Store B: price $[/tex]\[tex]$95.99$[/tex] and discount of [tex]$12\%$[/tex]
Store C: price [tex]$\$[/tex]90.99[tex]$ and discount of $[/tex]10\%[tex]$
Store D: price $[/tex]\[tex]$89.99$[/tex] and successive discounts of [tex]$5\%$[/tex] and [tex]$5\%$[/tex]

a. A, B, C, D
b. A, B, D, C
c. D, A, B, C
d. D, C, B, A

Please select the best answer from the choices provided:

A.
B.
C.
D.



Answer :

GinnyAnswer
To determine the ranking of the stores from cheapest to most expensive sale price for the digital camera, let's calculate the final sale price for each store based on the given original prices and discounts.

1. Store A:
- Original Price: [tex]\(\$99.99\)[/tex]
- Discount: [tex]\(15\%\)[/tex]
- Sale Price = [tex]\(99.99 \times (1 - 0.15) = 99.99 \times 0.85 = 84.9915\)[/tex]

2. Store B:
- Original Price: [tex]\(\$95.99\)[/tex]
- Discount: [tex]\(12\%\)[/tex]
- Sale Price = [tex]\(95.99 \times (1 - 0.12) = 95.99 \times 0.88 = 84.4712\)[/tex]

3. Store C:
- Original Price: [tex]\(\$90.99\)[/tex]
- Discount: [tex]\(10\%\)[/tex]
- Sale Price = [tex]\(90.99 \times (1 - 0.10) = 90.99 \times 0.90 = 81.891\)[/tex]

4. Store D:
- Original Price: [tex]\(\$89.99\)[/tex]
- Successive Discounts: [tex]\(5\%\)[/tex] and [tex]\(5\%\)[/tex]
- Applying the first discount: [tex]\(89.99 \times (1 - 0.05) = 89.99 \times 0.95 = 85.4905\)[/tex]
- Applying the second discount: [tex]\(85.4905 \times (1 - 0.05) = 85.4905 \times 0.95 = 81.216\)[/tex]

Now, comparing the sale prices:
- Store A: [tex]\(84.9915\)[/tex]
- Store B: [tex]\(84.4712\)[/tex]
- Store C: [tex]\(81.891\)[/tex]
- Store D: [tex]\(81.216\)[/tex]

Ranking these prices from the cheapest to the most expensive, we get:
- Store D: [tex]\(81.216\)[/tex]
- Store C: [tex]\(81.891\)[/tex]
- Store B: [tex]\(84.4712\)[/tex]
- Store A: [tex]\(84.9915\)[/tex]

Therefore, the ranking of the stores from cheapest to most expensive sale price is:
d. [tex]\(D, C, B, A\)[/tex]

So, the correct answer is d. [tex]\(D, C, B, A\)[/tex].

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