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Gemiola [76]
3 years ago
9

An item sells for 40$ tha sales tax on the item is 8 % what is the sales tax an total cost

Mathematics
2 answers:
artcher [175]3 years ago
7 0

Answer:

5

Step-by-step explanation:

balandron [24]3 years ago
6 0

The sales tax is $3.2 and total cost is $ 43.2

Solution:

Given, An item sells for 40$  

And sales tax on the item is 8 %  

We have to find what is the sales tax and total cost

Now, we know that, sales tax = 8% of selling price  

\begin{array}{l}{\text { Sales tax }=\frac{8}{100} \times \text { selling price }} \\\\ {\text { Sales tax }=\frac{8}{100} \times 40} \\\\ {\text { Sales tax }= 3.2}\end{array}

Now, sales tax = $ 3.2, then,

<em>Total final cost = selling price + sales tax </em>

Total cost = 40 + 3.2

Total cost = $ 43.2

Hence, sales tax and total cost are $3.2 and $43.2 respectively.

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The accompanying data contains the depth​ (in kilometers) and​ magnitude, measured using the Richter​ Scale, of all earthquakes
Sunny_sXe [5.5K]

Answer:

Depth:

μ =20.2025 km

M = 15.625 km

Range = 47.15 km

σ ≈ 15.92 km

Q₁ = 5.7375 km

Q₃ =  34.6675 km

Magnitude:

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

Step-by-step explanation:

The given data are;

Depth {}                                 Magnitude

0.76 {}                                    0.84

4.93 {}                                    0.47

8.16 {}                                     0.35

33.58 {}                                  1.32

21.2 {}                                     1.61

35.03 {}                                  4.57

10.05 {}                                   5.52

47.91 {}                                    1.99

For the Depth, we have;

The mean, μ = (0.76+4.93+8.16+33.58+21.2+35.03+10.05+47.91)/8 =20.2025 km

The median, M = The (n + 1)/2th term after arranging the term in increasing order as follows;

0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 , the median is therefore;

(8 + 1)/2th term or the 4.5th term which is 10.05 + (21.2 - 10.05)/2 = 15.625 km

The Range = The highest - The lowest value = 47.91 - 0.76 = 47.15 km

The Standard deviation of, σ, is given as follows;

\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu  \right )^{2} }{N}}

Where;

x_i = The individual data point = (0.76, 4.93, 8.16, 10.05, 21.2, 33.58, 35.03, 47.91 )

N = The total number of data point = 8

Substituting, (using Microsoft Excel) we get;

\sigma =\sqrt{\dfrac{\sum \left (x_i-20.2025  \right )^{2} }{8}} \approx 15.92 \ km

Q₁ = The first quartile = The (n + 1)/4th =  term arranged in increasing order

Q₁ = The (8 + 1)/4th term = The 2.25th term = 4.93 + (8.16 - 4.93)×0.25) = 5.7375 km

Q₃ = The first quartile = The 3×(n + 1)/4th =  term arranged in increasing order

Q₃ = The 3×(8 + 1)/4th term = The 6.75th term = 33.58 + 3×(35.03 - 33.58)×0.25) = 34.6675 km

For the magnitude, we have, using the same formulas and procedures as above;

μ = 2.08375

M = 1.465

Range, R = 5.17

σ = 1.801485 ≈ 1.8

Q₁ = 0.5625

Q₃ = 3.925

4 0
3 years ago
Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9. Wit
ryzh [129]

There are 90 different identification numbers possible.

<h3>What are the permutation and combination?</h3>

In terms of mathematical concepts, “permutation” and “combination” are related to each other.

The combination is the counting of selections that we make from n objects.

Oscar was not safeguarding his personal identification and chose a two-digit PIN for his debit card using the numbers 0 - 9.

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are;

10 × 10 = 100 total possible PINs.

Now, because you can't use the same number twice, we subtract 10 from 100 because there are 10 numbers that can match themselves.

100 -10 =90

Hence, there are 90 different identification numbers possible.

Learn more about combination here;

brainly.com/question/24138361

#SPJ2

5 0
2 years ago
Read 2 more answers
Plz help I will give brainliest!
elena55 [62]

Answer:

b, 1 5/8

Step-by-step explanation:

the area is 4 15/32 square meters, and you find the area by doing length x width. the length is provided, 2 3/4. so all you have to do is divide 4 15/32 by 2 3/4 and you get 1 5/8

6 0
3 years ago
Read 2 more answers
EXTRA POINTS! volume of spheres.
BartSMP [9]

Answer:

V≈33.51

although I don't have an explanation, sorry, if you look up "how to find the volume of a sphere" on google, it will give you the answer

3 0
3 years ago
amy places adopt on a coordinate plane at (-3,-6) she wants to place another dot across the y-axis and it must be 8 points away.
Vaselesa [24]
(5,-6) because across the y acis meanes the same y Val just a different x Val. and so you could count 8 away from -3 going right. and you'll get my answer
6 0
3 years ago
Read 2 more answers
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