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lorasvet [3.4K]
3 years ago
9

Luis wants to buy a skateboard that usually sells for $79.97. All merchandise is discounted by 12%. What is the total cost of th

e skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate calculations and answer to the nearest cent.
Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

$74.8

Step-by-step explanation:

step 1: apply the discount to the price

12% = .12

$79.97 X .12 = $9.5964

$79.97 - $9.5964 = $70.3736

step 2: apply tax

$70.3736 X .0625 = $4.39835

$70.3736 + $4.39835 = $74.77195

step3: round

$74.8

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Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the
lara [203]

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

<h3>What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?</h3>

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

  • AB = 65,
  • BC = 33,
  • AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

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1 year ago
What is an<br> equation of the line that passes through the points (-4, -1) and (3,-8)?
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Answer:

y=-x-5

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m=(-8-(-1))/(3-(-4))

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m=-7/7

m=-1

y-y1=m(x-x1)

y-(-1)=-1(x-(-4))

y+1=-1(x+4)

y+1=-x-4

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6 0
3 years ago
What is the remainder of 10^2017 divided by 1001?
pashok25 [27]
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic

10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
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Final Answer: 10


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4 years ago
A graph contains the points (-1,-1), (0,1) and (1,3). Are these points considered a linear
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3 years ago
If 24 is increased to 30, the percent of increase is a0%.
mestny [16]

Answer:

25%

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% increase = \frac{increase}{original} × 100%

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3 years ago
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