ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is

A. $2,560
B. $2,904
C. $2,850
D. $2,890​

Step-by-step explanation:

[tex] \sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Use the identity

[tex] \sin^2 \theta = \dfrac{1 - \cos 2\theta}{2} [/tex]

on the left side.

[tex] \dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Now use the identity

[tex] \sin \theta = \cos(\frac{\pi}{2} - \theta) [/tex]

on the left side.

[tex] \dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

[tex] \frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha) [/tex]

Answer:

the slope is 2

Step-by-step explanation:

rise over run - 2/1

From [tex]y=a(x-h)^2+k[/tex]

The vertex is at (h, k)

Therefore, from [tex]y=2(x-3)^2+4[/tex]

The vertex is at (3,4).

Thus, the answer is 4. (3,4)

Answer: i think it's 64

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

Answer:

Its A

Step-by-step explanation:

Answer:

The flea treatment is $2.05 cheaper at Pet Store 1.

Step-by-step explanation:

Pet store 1

Regular price = $33

40% off the regular price

= 40% of $33

= 0.4 × 33

= $13.2

25% off the regular price

= 25% of $33

= 0.25 × 33

= $8.25

Total paid = $33 - $13.2 - $8.25

= $11.55

Pet store 2

Regular price = $34

55% off of the regular price

= 55% of $34

= 0.55 × 34

= $18.7

5% off of the regular price

= 5% of $34

= 0.05 × 34

= $1.7

Total paid = $34 - $18.7 - $1.7

= $13.6

Difference in price = $13.6 - $11.55

= $2.05

The flea treatment is $2.05 cheaper at Pet Store 1.

Answer:

5

Step-by-step explanation:

Answer:

1. Unbiased sample.

2. Self-selected sample.

3. Stratified sample.

4. Systematic sample.

5. Convenience sample.

6. Biased sample.

Step-by-step explanation:

1. Unbiased sample: sample where every member of the population has an equal chance of being selected.

2. Self-selected sample: sample where members volunteer to take part.

3. Stratified sample: members are selected from the different subgroups within a population.

4. Systematic sample: sample members are selected through the use of a rule.

5. Convenience sample: sample where representatives are easily accessible.

6. Biased sample: sample not representative of the entire population.

Answer:

1. biased sample  

5

members are selected from the different subgroups within a population  

2. convenience sample  

6

sample members are selected through the use of a rule  

3. unbiased sample  

2

sample where representatives are easily accessible  

4. self-selected sample  

3

sample where every member of the population has an equal chance of being selected  

5. stratified sample  

4

sample where members volunteer to take part  

6. systematic sample  

1

sample not representative of the entire population  

Step-by-step explanation:

Answer:

The statment would be written as "12 - x".

Answer:

your answer would be (4, 7)

Step-by-step explanation:

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

Here, we want to calculate angle representing the direction of travel

From the question, she is 3 miles east and 4 miles north of her starting point

So the angle that represents her direction of travel will be that which makes a cut with the horizontal (the east direction)

Now, let us picture a right-angled triangle, with 3 miles direction being the adjacent and the 4 miles direction (facing the angle we want to calculate and is the opposite)

the trigonometric identity to use is the Tangent

Tan theta = 4/3

theta = arc tan (4/3)

theta = 53.13 degrees

Answer:

If the slope of a line is negative, the line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, the line intersects quadrant I; if negative, quadrant III.

Step-by-step explanation:

Congruence is when there are 2 objects that have the same shape and size, or they "mirror" each other.

Question 6:

Congruence:

Yes, these two objects are congruent.

Reason:

They are congruent, because they have the same size and shape, or that they  "mirror" each other.

Question 7:

Congruence:

Yes there is congruence, here. These two objects are similar shapes, but not completely congruent.

Reason:

These two objects have the same size, but not the exact same shape. If you look at point B you can see that the two angles are different, which means that they are similar shapes, but not completely congruent.

Hope this helps! :)

Answer:

it just died because of natural causes haha

Step-by-step explanation:

Answer:

uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;

Step-by-step explanation:

Answer:

12.5assignments

Step-by-step explanation:

50 assignments over 4 days

50/4

=12.5 assignments

Answer: I just did a semesters worth of work in a day and a half. You can do this!!! I know it’s frustrating and hard and you’re probably burned out but keep pushing. It’s worth it :)

Step-by-step explanation:

Answer:- | -7 + 4 |

=  - | -3 |           Since  | -3 |  =  3:

=  - (3)

=  - 3

Answer:

3 or -3

Step-by-step explanation:

Since this is an absolute value, this will be 2 answers.

If |-7+4|=3

then the equation = -3

If |-7+4|=-3

then the equation =3

Answer: yes

Step-by-step explanation:

Lets look at side AC and BC.

BC = 10

AC = 15

10/15 = 2/3

Now side CE and CD.

CD = 8

CE = 12

8/12 = 2/3

SO YES!

Step-by-step explanation:

your answer is 60

hope it helps :)

try this...............

Answer:

A

Step-by-step explanation:

A I GUESS SO.................

Answer:

x = 2

Step-by-step explanation:

6x + -5 = 2x + 3

-5 + 6x = 2x + 3

-5 + 6x = 3 + 2x

-5 + 6x + -2x = 3 + 2x + -2x

-5 + 4x = 3 + 2x + -2x

-5 + 4x = 3 + 0

-5 + 4x = 3

-5 + 5 + 4x = 3 + 5

0 + 4x = 3 + 5

4x = 3 + 5

4x = 8

x = 2

26$

Step-by-step explanation:

1% = 4/100 * 25

1% = 1

25 + 1 = 26

Another way to solve

Percentage increase = 100% + 4%

104/100 = 1.04

1.04 * 25 =26

Answer:

Expression in mathematics means word problem.

Answer:

0 / no solutions

Step-by-step explanation:

Rewrite both in terms to the form y = equation.

EQ1: y = 3x + 4 (already in correct form)

EQ2: y = 3x - 6 (subtracting 6 from both sides).

Now suppose there is an intersection, then:

3x + 4 = 3x - 6, subtracting 3x from both sides gives:

4 = -6, which is a contradiction!

Therefore there are 0 / no solutions

He is incorrect because anything mutipled by 0 is 0!

Answer:

8. 5/6

9. 6.25, 6 and 1/4

10. 14.4

Step-by-step explanation:

Sorry that this is a little late. All of these problems end up with the same process to get to the answer. Since you want to find the rate, you would want to divide the amount of time taken by itself to find the unit rate. So basically, 8. would be 20 cm in 24 hours. You would divide both by 24 and you get 20/24 cm in 1 hour. and then you simplify the fraction and boom, there's your answer.

Answer:

Part 1 and 2: P represents principle, or the original cost of the mortgage. i represents the annualinterest rate (r/n), and t represents time. When you change the time it affects monthlypayments because theres either more or less time to pay off the mortgage. Having a longertime to pay off means you'll have lower monthly payments. When the interest rateincreases, the monthly payment increases. This is because the higher the interest rate, themore interest you're paying. Changing the principle means you either have more or lessmoney to pay off.P2: Increasing i will increase the total cost since more interest will be charged. Increasingtime means there's more periods for interest to gather so the total cost will increase.Shortening the time will decrease the total cost because there will be less time for interestto accumulate.

Answer:

The ornament is 1, the light is 4, the grinch is 12, the hat is 16, and the dog reindeer thing is 48

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation:

I took the test and I got a 100%

Answer:

the dividend is 2x^3 + 10x^2 + x + 5

Step-by-step explanation: