the price of a video game was reduced by $60 to 45. By what percentage was the price of the video game reduced?

Using the distance between two points to find the length of the side of the square, it is found that:

The distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

In this problem, the length of the side of the square can be found as the distance between points G and H, that is, the distance between (0,5) and (-5,0), hence:

\(l = \sqrt{(0 - (-5))^2 + (5 - 0)^2} = \sqrt{50} = \sqrt{2 \times 25} = 5\sqrt{2}\)

The area of a square of side length l is given by:

\(A = l^2\)

Hence:

\(A = (5\sqrt{2})^2 = 50\)

The area is of 50 square units.

The perimeter of a square of side length l is given by:

\(P = 4l\)

Hence:

\(P = 4(5\sqrt{2}) = 20\sqrt{2}\)

The perimeter is of \(20\sqrt{2}\) units.

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Answer:

IT'S A

Step-by-step explanation:

Answer:

a) 41 customers purchased only mysteries.

b) 19 customers purchased mysteries and science fiction, but not romance novels.

c) 19 customers purchased mysteries and science fiction.

d) 19 customers purchased mysteries and science fiction, but not romance novels.

e) 15 and 10 customer purchased mysteries

Answer:

yes

Step-by-step explanation:

Answer:

13/45

Explanation:

...

Answer: C. 400  in^2

Step-by-step explanation:

First find the surface area or the area of the base which is in the shape of  a square and has a side length of 10 in. So square 10 to find the area.

Area of base:  10 * 10 = 100

Next find the area of one of the triangles.

As we could see the triangle has a slant height of 15 in and a base of 10. To find the area of a triangle we multiply the base times the height and multiply it by half.

Area of one triangle.  15 * 10 = 150 * 1/2 = 75  

Since one side of the triangle has a surface area of 75 inches we will multiply it by 4 since there are four triangles to find the total surface area of the four faces.

75 * 4 = 300  

We now know that the the 4 triangles surface area dd up to 300 so we will add it to the area of the base which is 100 to find the whole surface area of the figure.

300 + 100 = 400

Step-by-step explanation:

for such problems it is always the best approach to being both fractions to the same denominator.

that means for one or both of them we need to multiply them with the same factor on the top and the bottom (so that the fraction value remains unchanged), so that we get 2 fractions with the same denominators (bottom part).

the the least common multiple for 4 and 5 is 20.

so, we need to bring both fractions to .../20 :

7/4 × 5/5 = 35/20

9/5 × 4/4 = 36/20

now, to find a fraction between them, we need to actually refine the denominator even further, as 35 and 36 are consecutive integers.

in such a case I suggest doubling things.

35/20 × 2/2 = 70/40

36/20 × 2/2 = 72/40

now we see, a fraction between 7/4 and 9/5 would be

71/40

as 7/4 = 70/40 is smaller, and 9/5 = 72/40 is larger.

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

33% discount

Step-by-step explanation:

15$ is the amount that was taken off so now we just need to convert it to a % of 45

45/100 = 30/?

if you do cross multiplication and multiply 30 * 100 then divide the result (3000) by 45 you get 66

This means that 30$ is 66% of 45. To find the discount you just subtract 66% (this represents your 30$ new price) from 100% (this represents the 45% original price) and you get 33%.

Answer:

you make 20 dollars in a month

Step-by-step explanation:

15 is 3/4 a month, unit rate would be 5 dollars a week so therefore a whole month would be 20

The six trigonometric functions at 11π/3 are as follows-

sin (11π/3) = -\(\sqrt{3}\)/2

cos (11π/3) = 1/2

tan (11π/3) = -\(\sqrt{3}\)

cot (11π/3) = -1/\(\sqrt{3}\)

sec (11π/3) = 2

cosec (11π/3) = -2/ \(\sqrt{3}\)

Let us evaluate the six trigonometric functions at 11π/3 as follows -

11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.

a. sin (11π/3) = sin (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= sin (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.

= -sin (π/3)

= -\(\sqrt{3}\)/2

Hence, sin (11π/3) = -\(\sqrt{3}\)/2

b. cos (11π/3) = cos (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= cos (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.

= cos (π/3)

= 1/2

Hence, cos (11π/3) = 1/2

c. tan (11π/3) = tan (2π + 5π/3)

this angle is greater than or equal to 0 and less than 2π.

= tan (5π/3)

Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.

= -tan (π/3)

= -\(\sqrt{3}\)

Hence, tan (11π/3) = -\(\sqrt{3}\)

d. cot (11π/3) = 1/ tan (11π/3)

Hence, cot (11π/3) = - 1/ \(\sqrt{3}\)

e. sec (11π/3) = 1/ cos (11π/3)

Hence, sec (11π/3) = 2

f. cosec (11π/3) = 1/ sin (11π/3)

Hence, cosec (11π/3) = -2/ \(\sqrt{3}\)

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Answer:

14-6 = 8

14+6 = 20

14 x 2 = 28

14/2 = 7

2/14 = 1/7 = 0.14285714285

14^2 + 6 =  196 + 6 = 202

and so on..

Step-by-step explanation:

Answer:yes because the input and the output don’t repeat

Step-by-step explanation:

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Each increment of 1 in x produces an increment of 4 in y. When the increments have the same ratio like that (4:1), the function is linear. The equation for it is ...

  y = 4x +12 . . . a linear function

Answer:

d)

Step-by-step explanation:

100%=$5

200%=5x2=10

200-50=150%

150/200x10=7.50

Hope this helps! Thanks.

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

= 130°

Step-by-step explanation:

a far away exterior angle is equal to the sum of two far interior angles

50+80 = x

Answer:

No, they are not similar.

A.  The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.

B. No, the project does not meet the company's cash payback criteria.

C.  Yes, the project does meet the net present value criteria for acceptance.

A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.

                $55,440 / $7,700 = 7.2 years

To solve for the net present value, we say

Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.

NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63

+ ($7,700 / (1 + 0.08)²) = 6601.51

+ .($7,700 / (1 + 0.08)³ = 6112.51

+ ($7,700 / (1 + 0.08)⁴) = 5659.73

+ ($7,700 / (1 + 0.08)⁵) = 5240.49

+ ($7,700 / (1 + 0.08)⁶) = 4 852.31

+ ($7,700 / (1 + 0.08)⁷) = 4492.88

+($7,700 / (1 + 0.08)⁸)  = 4160.07

+ ($27,600 / (1 + 0.08)⁸)) = 14911.42

- $55,440

We add all these values together and subtract by  $55,440

7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440

59160.55 - 55,440

NPV = 3720.55

B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.

C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.

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The total number of shaded squares will be equal to the product of 4 x 2/3.

A. For the problem 4 x 2/3, you can draw a model using rectangular arrays or area models. Draw four columns, each representing one of the four groups, and two rows to represent the two-thirds. Shade in two-thirds of the first column, then repeat for the next three columns. The total number of shaded squares will be equal to the product of 4 x 2/3.

B. For the problem 3 x 2/5, you can also draw a model using rectangular arrays or area models. Draw three columns, each representing one of the three groups, and two rows to represent the two-fifths. Shade in two-fifths of the first column, then repeat for the next two columns. The total number of shaded squares will be equal to the product of 3 x 2/5.

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The value of f(2000 , 20) is $6640.24   and the interpretation is "if 2000 was invested initially then $6640.24 will be the amount after 20 years"  .

In the question ,

it is given that,

the future value (S) on investment earning is compounded continuously at 6% .

the function of the principal P and the length of time t that the principal has been invested is given by

S = f(P, t) = P×\(e^{0.06 \times t}\)

to find f(2000 , 20) ,

we substitute P = 2000 and t = 20 ,

we get ,

f(2000 , 20) = 2000×\(e^{0.06 \times 20}\)

Simplifying further ,

we get ,

= 6640.2338

≈ 6640.24

Its interpretation is "if 2000 was invested initially then $6640.24 will be the amount after 20 years .

Therefore , the value of f(2000 , 20) is $6640.24  .

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The slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

To find the slope of the line passing through the points (5, 3) and (8, 2), we can use the formula for slope:

slope = (y2 - y1) / (x2 - x1)

Let's substitute the coordinates of the given points into the formula:

x1 = 5, y1 = 3

x2 = 8, y2 = 2

slope = (2 - 3) / (8 - 5)

Calculating the numerator and denominator:

slope = -1 / 3

Therefore, the slope of the line passing through the points (5, 3) and (8, 2) is -1/3.

Note: The slope represents the rate of change between the y-coordinates and x-coordinates of two points on a line. In this case, for every 3 units increase in the x-coordinate, the y-coordinate decreases by 1 unit.

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Answer:

First find a number you can take out of both numbers.

In this case 3.

You get left with 2+3y

So the answer is 3(2+3y).

a) The linear function for the 2005 estimate is given as follows: y = 30 + 5x.

b) The linear function for the 1990 estimate is given as follows: y = 53.75 + 2.25x.

c) They would be predicted to have the same cost in the year of 2013.

d) The 1990 prediction was closer, however it still had a large residual, hence neither was good enough.

The linear functions are defined in the slope-intercept format, given as follows:

y = mx + b.

In which:

Taking 2005 as the estimate, the function is given as follows:

y = 30 + 5x.

Taking 1990 as the estimate, the equation would be of:

y = 20 + 2.25x.

The estimate for 2005 would be of:

y = 20 + 2.25(15) = 53.75.

Hence the equation taking 2005 as the estimate would be of:

y = 53.75 + 2.25x.

The costs would be the same when:

30 + 5x = 53.75 + 2.25x.

2.75x = 23.75

x = 23.75/2.75

x = 8.63 -> + 2005 -> year of 2013.

The estimates for 2011(6 years after 2005) are given as follows:

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Answer: I'd be happy to help you with these problems!

1a.

i. Cardinal: There were 10 apples in the basket.

ii. Ordinal: He came in first place in the race.

iii. Nominal: My favorite color is blue.

i. 1997 in Roman numerals is MCMXCVII.

ii. 15-03-2023 in Roman numerals is XV-III-MMXXIII.

2a.

2√128 - √243 + 5√125 + √27 - √80 - 162 + √98

First, simplify the square roots:

2√64·2 - 3√81·3 + 5√25·5 + √9·3 - √16·5 - 162 + √49·2

Next, simplify further:

2·8√2 - 3·3√3 + 5·5√5 + 3√3 - 4√5 - 162 + 7√2

Combine like terms:

15√2 - √3 + 8√5 - 162 - 4√5 + 7√2

Simplify further:

22√2 + 4√5 - √3 - 162

b.

1.3555555555.... can be written as 1.36 in 7º.

c.

Village A has a funeral every 10 days, so it will have a funeral on March 4th, March 14th, March 24th, etc.

Village B has a funeral every 15 days, so it will have a funeral on March 4th, March 19th, April 3rd, etc.

Village C has a funeral every 20 days, so it will have a funeral on March 4th, March 24th, April 13th, etc.

To determine the next time all three villages will have a funeral on the same day, find the least common multiple of 10, 15, and 20.

10 = 2 x 5

15 = 3 x 5

20 = 2 x 2 x 5

The least common multiple is 2 x 2 x 3 x 5 = 60.

So, the next time all three villages will have a funeral on the same day is 60 days after March 4th, which is May 3rd, 2023.

Comment if you have any more questions.

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

the answers are 10(x+15)+20(x+30) and 10x+150+20x+600 and 30x+750

Step-by-step explanation:

the first one becuze that what it would look like if written out then the second one becuze that what it would look like if you distributed the 10 and the 20 that outside the parentheses then the third option because you would then combined like numbers so you would do 10x + 20x to get 30x and 600 + 150 to get 750

hope this help please give brainlist

Answer:

The ones  with asterisks below are correct

Step-by-step explanation:

10 days times (x minutes reading/per day + 15 minutes writing/per day)

+ 20 days times (x minutes reading/per day + 30 minutes writing/per day)

= 10(x+15) + 20(x+30) *****

= 10x + 10*15    +    20x + 20*30

= 10x + 150 + 20x + 600  *****

= 30x + 750 *****

Hope this helps, but have to go now.

Answer:

it will be a 95

Step-by-step explanation:

Answer:

20 hours

Step-by-step explanation:

400 divided by 20 is 20

Answer:

Time taken = 20 hours

Step-by-step explanation:

Speed  = distance travelled / time taken

20 mi/hr = 400 mi / time taken

Time taken = 400 mi / 20

Time taken = 20 hours

Answer:

(5, 4)

Step-by-step explanation:

(x + 2, y + 3)

(3  + 2, 1 + 3)

(5, 4)

Answer:

B' (5, 4 )

Step-by-step explanation:

the translation rule (x, y ) → (x + 2, y + 3 )

means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then

B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )

(Option D.) Shows the distribution of sample means from all possible samples given size.

A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.

It shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.

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