Luis wants to buy a skateboard that usually sells for $79.35. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent

The total cost of the skateboard is 75.58881, rounded, it's $75.59.

Step-by-step explanation:

Since the merchandise is discounted by 12%, this means there's a decrease in price.

We need to convert our discount to a decimal, 0.12, and then multiply it by the original price. So,

$79.35 × 0.12 = 9.522

Then we subtract: $79.35 - 9.522 = 69.828

Since we have to pay a sales tax of 8.25%, we need to convert that into a decimal, 0.0825, and then multiply the sales tax by 69.828. So,

69.828 × 0.0825 = 5.76081

Now we add 5.76081 to our price, 69.828, which is 75.58881.  75.58881 rounded to the nearest hundredth is 75.59.

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+

25.45584

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation: