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LiRa [457]
3 years ago
15

The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the price of the ster

eo?
Mathematics
2 answers:
Olegator [25]3 years ago
6 0

Answer:

$500

Step-by-step explanation:

Let the price of the stereo be x

The sales tax in the town where Amanda lives is 7%

So,Amount of tax = 7\% \times x

                              = \frac{7}{100} \times x

We are given that Amanda paid $35 in sales tax

So, \frac{7}{100} \times x =35

x =35 \times \frac{100}{7}

x =500

Hence the price of the stereo is $500

Stells [14]3 years ago
3 0
500 Because 35/7 = 5 and 5*100 (100%) = $500
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Kruka [31]

The perimeter of right isosceles ΔABC with midsegment DE is 16 + 8√2.

If right isosceles ΔABC has hypotenuse length h, then the two other sides are congruent.

side a = side b

Using Pythagorean theorem, c^2 = a^2 + b^2

h^2 = a^2 + b^2      a = b

h^2 = 2a^2

a = h/√2

If DE is a midsegment not parallel to the hypotenuse, then it is a segment that connects the midpoints of one side of a triangle and the hypotenuse. See photo for reference.

ΔABC and ΔADE are similar triangles.

a : b : h = a/2 : 4 : h/2

If a/2 = a/2, then b/2 = 4.

b/2 = 4

b = 8

If a = b, then a = 8.

If a = h/√2, then

8 = h/√2

h = 8√2

Solving for the perimeter,

P = a + b + h

P = 8 + 8 + 8√2

P = 16 + 8√2

P = 27.3137085

To learn more about midsegment: brainly.com/question/7423948

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11 months ago
Describe a stradegy that let you locate fractions and decimals in the same number line
Sveta_85 [38]
I do this in 3 ways:

Divide it into 10 equal pieces: So it will be .1 , .2, .3, .... .9 or 1/10 2/10
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2 years ago
What are the domain and range of the function f(x)= Squrt x-7+9
AnnyKZ [126]

Answer:

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  • range: f(x) ≥ 9

Step-by-step explanation:

The domain is the set of values of x for which the function is defined. Those are the values of x that make the square root argument non-negative:

  x -7 ≥ 0

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Since the square root cannot be negative, the sum of it and 9 cannot be less than 9. The range is ...

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3 years ago
Principal=2000,R=12percent,Time=2years and 6 months.​
almond37 [142]
  • Principal=P=2000
  • Rate of interest=12%
  • Time=2years and 6months=2.5years
  • Interest=I

\boxed{\sf I=\dfrac{PRT}{100}}

\\ \sf\longmapsto I=\dfrac{2000(12)(2.5)}{100}

\\ \sf\longmapsto I=\dfrac{24000(2.5)}{100}

\\ \sf\longmapsto I=\dfrac{60000}{100}

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2 years ago
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Answer:

36.7

Step-by-step explanation:

let angle be x

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x = tan⁻¹ 0.8 (use calculator)

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