3. A merchant sold a pen for $6.90, thereby making a profit of 15% on the cost to her. Calculate:
a. the cost price of the pen to the merchant to the nearest cent.
b. the selling price the merchant should request in order to make a 25% profit instead.

Answer:

answer = 2

Step-by-step explanation:

1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )

1 + (1 - cosθ)(1 + cosθ)(csc^2θ)

1 + (1 - cos^2θ)(csc^2θ)

1 + (sin^2)(1/sin^2)

1 + sin^2/sin^2

1 + 1

2

Answer:

Yes

Step-by-step explanation:

Let's say each letter was a different number. When it comes to multiplication the order doesn't matter, plus the numbers that are together are just number multiplied.

Example:

(1)(2)(3)*(4)(10)Equals 240

If you switch those around, no matter what it will equal 240

Answer: They are equivalent

Both expressions have one copy of v, w, x, y, and z in some order all being multiplied. We can multiply any two numbers in any order we want

a*b = b*a

For example,

2*3 = 3*2

Since both equal 6.

We can extend this idea out to more than two things being multiplied and the order still doesn't matter. This idea is the commutative property of multiplication.

Answer:

you substitute y with 0 into the equation and solve for x

Answer:

n5 + 17

Step-by-step explanation:

They're asking for a pattern.

17 + 5 = 22

22 + 5 = 27

27 + 5 = 32

So it starts at 17 and increases by five each time.

The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.

n5 + 17

Answer:

Step-by-step explanation:

slope=(0-7)/(6-2)=-7/4

Answer:

slope =-7/4

Step-by-step explanation:

Use the slope formula and the slope-intercept form to find the slope

m and y-intercept b.

Answer:

1.325 x 10 -2

Step-by-step explanation:

That is the answer and I know 100% that it is correct

Answer:

the answer is -8t^6

Step-by-step explanation:

You multiply 2 with -4 which will give you -8.

You also multiply 3 and 3 which is 6.

Since the box represents a proportional relationship, the empty box would be = 22.

When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.

For example, using the figures given above;

8 pages of notes = 16hours

1 page = 16/8 = 2 hours

Therefore, each page should be times by two to give the number of hours.

Learn more about multiplication here:

https://brainly.com/question/29793687

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Answer:

24.9

Step-by-step explanation:

we add 18.5+6.4= 24.9

to check our work we do 24.9-6.4= 29.4 All DONE!

Answer:

C. $4,300

Step-by-step explanation:

3 years = 36 months so,

50(36) + 2500 = $4300

1. Sry, I am confused by this one

2. Positive Integer factors of 196 = 2, 4, 7, 28, 196/2, 2, 7, 7, leaves it with no remainder.

3. Neither

4. Prime

5. Composite

6. 80, 96, 112 (pattern: add 16 each time)

7. 29, 36, 38 (pattern: add 7, add 2 and so on)

Hope this helped!!

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Answer:

Irrational number

Step-by-step explanation:

The number 1.8 isn't repeating so it wouldn't be a repeating rational number.

Answer: 15 boxes

Step-by-step explanation:

From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.

The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:

= 21.75/1.5

= 14.5

= 15 boxes approximately

Answer:

z = 77

Step-by-step explanation:

Given

[tex]\frac{z}{7}[/tex] - 9 = 2 ( add 9 to both sides )

[tex]\frac{z}{7}[/tex] = 11 ( multiply both sides by 7 to clear the fraction )

z = 77

Answer:

what is the question

Step-by-step explanation:

.......

Answer:

x=0

Step-by-step explanation:

8(4x-4)=-5x-32

32x-32=-5x-32

37x=0

x=0

Answer:

9)900

10)40,320

Answer:

The initial height would be the intersection between the line and the y-axis, or the y-intersect

Step-by-step explanation:

Initial height means the height before any time has passed, so the x-axis representing time must have a value of 0. Because of this the initial height is the y-intercept.

Answer:

f'(x) = 18x² - 18x + 12

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = (3x² + 6)(2x - 3) ← expand factors using FOIL

     = 6x³ - 9x²  + 12x - 18 , then

f'(x) = 3.6x² - 2.9x + 12

      = 18x² - 18x + 12

Answer:

a

Step-by-step explanation:

c shifts the graph up or down

Answer:

He saves $7.50

Step-by-step explanation:

30% of 25

= 0.30 * 25

= 7.50

Answer:

$7.50

Step-by-step explanation:

To find this number you would use [tex](\frac{3}{10} *25)[/tex] or [tex]25(0.3)[/tex] because you are basically finding 30% of 25. This would get you $7.50.

are you solving for x?

Answer:

2 x−8=8

1 Let x =8.

2 x 8 - 8 = 8

2 Simplify  2\times 82×8  to  1616.

16- 8 = 8

3 Simplify  16 −8  to 8.

8 = 8

Step-by-step explanation:

Answer: Forgot to divide at the end

Step-by-step explanation:

To figure out your friend's error, solve the equation yourself.

When we do this, we realize adding 3 would make it 33. This shows that the friend likely forgot to divide by 25 to completely isolate x, and stopped at that step.

Answer:

Step-by-step explanation:

Step one:

given data

diameter of circle= 12 in

the radius is r=d/2=6in

the area of the circle is

A=πr^2

A=3.142*6^2

A=3.142*36

A=113.1in^2

If the circle is folded in half, the area will be A/2= 113.1/2= 56.55in^2

In the corresponding shape is folded again the area is A/4= 28.3in^2

The expression for the last shape is

A= πr^2/4

i think the answer is negative 2

Step-by-step explanation:

if you solve this by -1-1/ 2-1 equals 2/1 so i conckude that the answer is -2