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Sophie [7]
3 years ago
11

Anna buys a sweater for $25.60, and it is on sale for 35% off. What is the amount of the discount?

Mathematics
2 answers:
valentina_108 [34]3 years ago
5 0

To find the amount of the discount, you need to do this: 25.6*30%

25.6*0.3 = 7.68

So the discount amount is $7.68.

inysia [295]3 years ago
4 0

To find the answer of this question, you have to multiply 25.60*0.35, since 35% equals 0.35 and the original price of the sweater was 25.60. After you do this, you should get $8.96 as the amount of the discount.

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Use the binomial expansion and approximation to find √3​
belka [17]

According to the use of binomial expansion, the approximate value of √3 is found by applying the infinite sum √3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

An acceptable result cannot be found manually for it requires a <em>high</em> number of elements, with the help of a solver we find that the <em>approximate</em> value of √3 is 1.732.  

<h3>How to approximate the value of a irrational number by binomial theorem</h3>

Binomial theorem offers a formula to find the <em>analytical</em> form of the power of a binomial of the form (a + b)ⁿ:

(a + b)^{n} = \sum \limits_{k = 0}^{n} \left(\begin{array}{c}n\\k\end{array}\right)\cdot a^{n-k} \cdot b^{k}     (1)

Where:

  • a, b - Constants of the binomial.
  • n - Grade of the power binomial.
  • k - Index of the k-th element of the power binomial.

If we know that a = 1, b = 2 and n = 1 / 2, then an approximate expression for the square root is:

√3 = 1 + (1 /2) · 2 - (1 / 8) · 2² + (1 / 16) · 2³ - (5 / 128) · 2⁴ + (7 / 256) · 2⁵ - (21 / 1024) · 2⁶ + (33 / 2048) · 2⁷ - (429 / 32768) · 2⁸ +...

To learn more on binomial expansions: brainly.com/question/12249986

#SPJ1

8 0
1 year ago
Goran made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces
Tema [17]
    6b + 6p = 33.60              ; b=2.90

6(2.90) + 6p = 33.60

17.40 + 6p = 33.60
-17.40           -17.40

    6p = 16.20
     /6         /6

      p = 2.70

ANSWER: each pendant costs $2.70
5 0
3 years ago
for Carolina's birthday her mom took her and her for friends to the water park Carolina's mom paid $40 for 5 student tickets. wh
UkoKoshka [18]
That would be 40 divided by 5. So the price for one student ticket was $8.
6 0
3 years ago
Read 2 more answers
What is the equation of the midline of the sinusoidal function?<br> [Enter the answer in the box]
Contact [7]

Answer:

y=0

Step-by-step explanation:

We are asked to find the equation of mid-line of the given sinusoidal function.

Since the mid-line of a sinusoidal function is the line that runs between the maximum and minimum y-values of the function. We can consider it the middle y-value.

\text{Mid-line}=\frac{\text{Maximum value+Minimum value}}{2}

We can see from our given graph that the maximum value of our function is 5 and minimum value of our function is -5.

Upon substituting these values in mid-line formula we will get,

\text{Mid-line}=\frac{5+(-5)}{2}

\text{Mid-line}=\frac{5-5}{2}

\text{Mid-line}=\frac{0}{2}

\text{Mid-line}=0

Therefore, the equation of the mid-line of the given sinusoidal function is y=0.

3 0
3 years ago
The range is the set of
slavikrds [6]

Answer:The range of a set of data is the difference between the highest and lowest values in the set.

Step-by-step explanation: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Hope this helps  :)

7 0
3 years ago
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