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3 years ago

Find the tax on a dinette set with a cash price of $200 that has been reduced by 20% if the tax rate is 6.5%.

Mathematics

2 answers:

Xelga [282]3 years ago

8 0

$200 - 20% savings equals $160 total price
Tax is 6.5%

160X.065 = $10.40 for tax

sashaice [31]3 years ago

8 0

Answer:

The correct option is B.

Step-by-step explanation:

The initial cash price is $200.

The cash price reduced by 20%.

20% of $200 is

$200\times \frac{20}{100}=40$

The cash reduced by $40.

The new cash price is

$\$200-\$40=\$160$

The tax rate is 6.5%.

6.5% of remaining cash is

$160\times \frac{6.5}{100}=10.40$

Therefore option B is correct.

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Determine if converges or diverges. Show steps

Brut [27]

(3^x-2)/9^x=1/3^x-2/9^x
which converges by thereom
it converges to 10/72=5/36
id show work if i could but take my word,
if u cant solve it try working out a few partial sums

6 0

2 years ago

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (

Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

$\bar X = 41.538$

$s = 5.317$

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

$\bar X = 43.615$

$s= 5.583$

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

$\bar X= 3.462$

$s = 0.443$

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

$\bar X = 41.538$

$s = 5.317$

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

$\bar X = 43.615$

$s= 5.583$

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

$\bar X= 3.462$

$s = 0.443$

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0

3 years ago

Yakvenalex [24]

Answer:

D.648 inches

Step-by-step explanation:

A yard is a unit that mostly used in America and Canadia to measure the length of something field-size, so it's used a lot in sport. One yard equal to three feet, while one foot equals to 12 inches. There is a higher unit than yard called miles which equals to 1760 yards or 1.60934 kilometers.

Since the measurement is 18 yards, the length in feet will be: 18 yards * 3 feet/yard= 54 feet.

The measurement in inch will be: 54 feet * 12 inches/feet = 648 inches.

8 0

3 years ago

The equation of the parabola whose focus is at (7 0) and directrix at y=-7 is

bija089 [108]

The equation of the parabola whose focus is at (7, 0) and directrix at y = -7 is
(x-7)^2 = 14(y + 7/2)

Hope this helps

5 0

3 years ago

What does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .

gavmur [86]

Answer: