At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you can receive an additional 15% off the sale price. What is the final price of the smart phone if you use the store credit card? Round to the nearest cent.

The final price of the smartphone is $375.15

Step-by-step explanation:

Percentages

The original price of a smartphone at an electronics store is $679. The store is on sale for 35% off that price.

Thus the sale price can be calculated by subtracting the discount from the original price.

Discount= 35% of $679 = 35/100 * $679 = $237.65

Sale price=$679 - $237.65 = $441.35

If you use the store credit card, there is an additional discount of 15% off the sale price. The new discount is:

New discount = 15% of $441.35 = $66.20

And the final price is: $441.35 - $66.20 = $375.15

The final price of the smartphone is $375.15

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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