Write a recursive formula for the following arithmetic sequence.
8, 5, 2, −1,

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.

Here d = 5 - 8 = - 3, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = 8 ← recursive formula


Related Questions

Can someone please help me with this.

Answers

Answer:

Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!

Step-by-step explanation:

Mark at brainliest if this helps please

Answer:

Well, first you can make the girl take the chicken across the river, leaving the fox with the bag of corn since there will be no harm. Then, she should leave the chicken on the far side and row back across the river. Then she should take the fox across the river. Once she reaches the other side he drops off the fox,however, takes the chicken with her and rows back. Next, she drops off the chicken on the starting side and takes the bag of corn across the river. She then leaves the fox and the bag of corn together and rows back to pick up the chicken, which completes the crossing. Hope it helped!

Step-by-step explanation:

Please help me! I will mark brainliest!

Answers

49t^8 is the correct answer

Answer:

the first answer=49t^8

Step-by-step explanation:

multiply 7 and 7 together, and add 4 and 4 together, that's how you'll get your answer

a diamiter of a sphere is

Answers

Answer:

radius times 2

Step-by-step explanation:

Answer:

a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Step-by-step explanation:

I don't really think this needs more of an explanation.

Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?

Answers

Answer:

Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis

Step-by-step explanation:

The required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.

What is the transformation of geometry over the coordinate plane?

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3.
On a coordinate plane, triangle OMN has points (1, 3), (2, 1), and (-1, 2). Triangle O'M'N' has points (4, 1), (5, 3), (2, 2).

Before reflection, the translation of MNO is given as 4 units down and 3 units left.

Thus, the required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.

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I NEED HELP!

Line 9 and 10
To calculate your taxable income, subtract the sum of lines 8 and 9 from line 7.

Answers

Can’t see it that far
I can’t see the picture

Find the value of x needed to make the equation true

Answers

Is there a picture??

4) If z/3 = 6, what is z equal to?

Answers

Answer:

z/3 = 6

multiply both sides by 3

z/3 * 3 = 6*3

z = 18

Help me find the MAD volume please
How many sundaes are there?

Answers

Answer:

2

Step-by-step explanation:

8+12+4+8 = 32

32/4 = 8

8-8 = 0

12-8 = 4

8-4 = 4

8-8 = 0

4+4+0+0 = 8

8/4 = 2

In regular polygons, if the number of sides, n, is off, the lines of symmetry will pass through a __________ and the __________ of the opposite side.

Answers

Answer:

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.

Step-by-step explanation:

This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.

if csc theta = -2.06, find sec(theta-pi/2)

Find the exact value
sin pi/ 18cos pi/9 + cos pi/18sin pi/ 9


Please help me soon, i dont need an explanation but it would be very helpful or if you know a website that can help me i will be very appreciative!

Answers

Answer:

a) sec (θ -π/2) =  co secθ

b) [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )=\frac{1}{2}[/tex]

Step-by-step explanation:

a)

Given co sec θ = -2.06

sec (θ -π/2) = sec(π/2 -θ) = co secθ

b)

we will use formula

sin A cos B + Cos A sin B = sin(A+B)

Given [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )[/tex]

                                                =  [tex]Sin(\frac{\pi }{18} +\frac{\pi }{9} )[/tex]

                                                = [tex]sin(\frac{\pi+2\pi }{18} ) = sin(\frac{3\pi }{18})[/tex]

                                                = [tex]sin(\frac{\pi }{6})[/tex]

                                               =  [tex]\frac{1}{2}[/tex]

math question screen shot down below

Answers

Answer:

6

Step-by-step explanation:

If you plug 3 into x for the equation, you are left with:

y=-3(3)+15

Expanding the parentheses:

y=-9+15

Combining like terms:

y=6 miles remaining

Hope this helps!

6. Y is 6. He has 6 more miles left to go.

-3*3+15=6

What do you add to 2 2/9 to make 4

Answers

Answer:

I believe 1 7/9 will give you 4

1 and 7/9ths because 1+2 =3 and than add up the fractions that gives you another 1

find the area of the composite figure

Answers

Answer:

Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...

Step-by-step explanation:

HELP QUICK!! 25 POINTS AND BRAINLIEST!!! Circle P has a circumference of approximately 65 inches.

What is the approximate length of the radius, r? Use 3.14 for π. Round to the nearest tenths.

A. 15.4
B. 10.4
C. 35
D. 32.5

Answers

Answer:

10.35

Step-by-step explanation:

c=2[tex]\pi[/tex]r

65=2(3.14)?

Answer:

B. 10.4

Step-by-step explanation:

The formula for the circumference is: 2πr

2πr≈65

Divide both sides by 2

πr=32.5

Divide both sides by π

r≈10.34

The answer that makes most sense is B. 10.4

Which of the following is a solution to this inequality? Y<2/3x+2

(0,3)
(-3,1)
(3,5)
(1,2)

Answers

Answer:

(1,2)

Step-by-step explanation:

I graphed the inequality on the graph below and found which answer was a solution.

If this answer is correct, please make me Brainliest!

The..... , ....... and.....of three-dimensional figures can be measured.
A. Weight
B. width
C. altitude
D. length
E. height​

Answers

b, d, and e .........

The  length, width, and height of three-dimensional figures can be measured.

What is the volume of a Cuboid?

A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges

The volume of a cuboid is the product of its length , width and height

The volume of the cuboid is given by

Volume of Cuboid = Length x Width x Height

Given data ,

Let the length of the cuboid be = L

Let the width of the cuboid be = W

Let the height of the cuboid be = H

Now , length, width, and height of three-dimensional figures can be measured.

Therefore, the correct options are D. length, E. height, and B. width.

Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.

Hence , the cuboid is a three-dimensional figure

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what is 50300000 in standard form​

Answers

Answer:

the answer is attached in the picture

what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)

Answers

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Add and simplify.
X+2x/x+1

Answers

Answer:

x+3

Step-by-step explanation:

x+2x1+1

x+2+1

x+3

Answer:

x+3

Step-by-step explanation:

x+ 2x /x+1

= x2+3x /x

=x+3

When multiplying or dividing a negative by a negative what will the result be

Answers

Answer:

A positive number

Step-by-step explanation:

The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
The first number minus the second number plus twice the third number equals 7. Find the numbers.
Listed in order from smallest to largest, the numbers are

Answers

Answer:

-10,1,19

Step-by-step explanation:

x+y+z = 10 (Equation 1)

2y-x= 12  (Equation 2)

x-y+2z = 7 (Equation 3)

(Equation 2): -x = -2y+12

                       x = 2y-12 (Equation 4)

(Equation 1) - (Equation 3): 2y-z = 3

                                              -z = -2y+3

                                               z = 2y-3 (Equation 5)

Substitute (4) and (5) into (1)

x+y+z = 10

(2y-12)+y+(2y-3) = 10

5y-15 = 10

5y = 5

y=1

Substitute y=1 into (2)

2y-x= 12

2(1)-x= 12

2-x= 12

-x= 12-2

-x= 10

x= -10

Substitute y=1 and x=-10 into (1)

x+y+z = 10

-10+1+z = 10

z-9 = 10

z = 10+9

z = 19

Order: x = -10, y = 1, and z = 19

Answer:

-2 5 7

Step-by-step explanation:

hi what is the answer

Answers

Answer:

A = 176.63 cm²

Step-by-step explanation:

Area of circle = π r ²

A = (3.14)(7.5)²

A = (3.14)(56.25)

A = 176.63 cm²

Answer:

Area of circle = pi x radius^2 = 3.142 x 7.5^2 = 176.74 (cm2)

Hope this helps!

:)

In a group of 50 people 28% of them has flue shots done. What is the probability to choose from this group 15 people that didn't have flue shot.

Answers

Answer:

0.0025 = 0.25%

Step-by-step explanation:

First we need to find how many people don't have flue shots.

28% of 50 is equal to 0.28 * 50 = 14 people.

If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.

Now, to solve this problem, the probability will be the cases where  we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):

C(36,15) / C(50,15) = (36!/15!*21!) / (50!/15!*35!) = 0.0025 = 0.25%

A school in New Zealand collected data about the employment status of the mother and father in two-parent families. The two-way table of column relative frequencies below shows the data.
Father works full time Father works part time Father not working
Mother works full time
0.17
0.170, point, 17
0.14
0.140, point, 14
0.13
0.130, point, 13
Mother works part time
0.23
0.230, point, 23
0.14
0.140, point, 14
0.07
0.070, point, 07
Mother not working
0.60
0.600, point, 60
0.71
0.710, point, 71
0.80
0.800, point, 80
Column total
1.00
1.001, point, 00
1.00
1.001, point, 00
1.00
1.001, point, 00
Based on the data, which of the following statements must be true for the two-parent families at that school?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
A family where the father works part time is twice as likely as a family where the father is not working to have the mother work part time.

(Choice B)

It is most common for neither parent to be working.

(Choice C)
C
Families where the father works full time are more likely to have the mother working full time than part time.

(Choice D)
D
There are twice as many families where the mother works full time and the father works part time as families where the mother works part time and the father doesn't work.

Answers

Answer:A

Step-by-step explanation: 14% of the mothers work part-time in families where the father works part-time while 7% of the mothers work part-time in families where the father is not working.

Probabilities are used to determine how likely or unlikely an event is. From the 2-column table, it is twice as likely to get a family where the father and the mother work part-time than a family where the father doesn't work, and the mother works part-time.

We use the following representation:

[tex]FF \to[/tex] Father works full-time

[tex]FP \to[/tex] Father works part-time

[tex]FW \to[/tex] Father not working

[tex]MF \to[/tex] Mother works full-time

[tex]MP \to[/tex] Mother works part-time

[tex]MW \to[/tex] Mother not working

Next, we test each of the 4 options, till one of the options is true (see attachment)

Choice A:

The claim in choice A is that:

[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]

From the given table, we have:

[tex]P(FP\ and\ MP) = 0.14[/tex] ---- father works part-time and mother works part-time

[tex]P(FW\ and\ MP) =0.07[/tex] ---- father not working and mother works part-time

Put the above values in the following equation

[tex]P(FP\ and\ MP) = 2 \times P(FW\ and\ MP)[/tex]

[tex]0.14 = 2 \times 0.07[/tex]

[tex]0.14 = 0.14[/tex]

The above equation is true.

Hence, choice (A) is true

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Can I get an example of systems of equations that represent the solution of this situation below? Thank you! ^ ^

"1 taco and 1 burrito costs $11. 10 tacos and 5 burritos cost $80. How much is the cost of one burrito?" (x = the cost of a taco, and y = the cost of a burrito) ​

Answers

Answer:

1x+ 1y =11

10x + 5y = 80

x = the cost of a taco = $5

y = the cost of a burrito = $6

Step-by-step explanation:

x = the cost of a taco

y = the cost of a burrito

1x+ 1y =11

10x + 5y = 80

rearange 1st equation as y = 11 -x and plug in into the 2nd one for y:

10x + 5( 11-x) = 80 distribute left side

10x + 55 - 5x = 80 combine like terms

10x - 5x = 5x

5x + 55 = 80 subtract 55 from both sides

5x = 80 - 55

5x = 25 divide by 5

x = 5

plug in for y in 1st equation y = 11--x =11-5 = 6

What is the value of s?
units
0
5
В
8
15
S
D

Answers

Consider the triangle ABD,

Here,

AB = 5

BD = 15

AD = s

As we know,

In a triangle, the sum of lengths of two sides is greater than the third side.

So,

[tex]5 + 15 > s[/tex]

[tex]15 + s > 5[/tex]

[tex]s + 5 > 15[/tex]

Now,

To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19

Answer: the value of s is 17 units

Step-by-step explanation: youre welcome

Which of the following properly describe “slope”?

Answers

Answer:

#3    1/2

Step-by-step explanation:

if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2

A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle

Answers

Answer:

base = 6.4m

height = 5m

Step-by-step explanation:

Given area = 16m^2

3/4 -1/2 = 1/4  into something x 0.25 its size then add

We see that 2.5 is 10 multiplied. not relevant unless doing algebra

We also see that 0.5 is 0.25 x 2  not relevant unless doing algebra

We start with 5

16/5 = 3.2

if 5 is the height then 3.2 x 2 must be the base.

As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base.  and 5m height stays as it is.

If we did algebra

Then 1/2 = 0.5  = 4.5  

3/4 = 0.75 = 3.75

and we would have to plug in 1 as x

3 as x to find one value as 5.5 (-1) = 4.5

We find 3.75 as 5 (-1 )- 1/4 = 3.75

3.75 x 4.5 = 16.875m^2

and is closest fit using 1/4, 1/2 and -1.

But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.

In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree

Answers

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

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Raymond says that point C is the radius.Who is correct and why?A.Kayla is correct; the center is a fixed point in the middle of the sphere.B.Kayla is correct; the center is a line segment from the center to the surface of the sphere.C.Raymond is correct; the radius is the fixed point in the middle of the sphere.D.Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.HURRY I WILL GIVE U THE BRAINLYEST BECAUSE I AM IN A TIMER PLZ!!!!!!!!!!!!!!!!!!!! Plucking Thoughtsby R. Lee WaltersI found the words for LossOn a vine upon my wall.Eager for a handfulTo chew, I pluckedA bunch but lost a few.Now regretsAre all I have for supper.3Select the correct answer.Which sentence best states two themes of the passage?A. The right words help one express feelings, and looking at a vine can be inspiring.B. It can be hard to find the right words to say, and losing someone brings sadness and regret.C. The search for meaning begins with a word, and reading helps increase vocabulary.D. Only writers can easily find the right words, and people are born and not made writers. what does your family do together Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2). How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same position? How do you find the mean of a data set ? But if he is suffered to live, he will receive the worst punishment - obscurity - and the public will have nothing to admire. We also know, and we can not consider it too much, that he has killed no man, and that if he be put to death we shall have the anomaly [odd situation] of the victim surviving the murderer; and that, under the laws, this man can be punished only for assault and battery with intent to kill, and, therefore, imprisoned.Background: This passage is an excerpt from William E. Dosters defense of Lewis Powell.According to the passage, what does Doster suggest that Powells punishment should be?becoming anonymous to the public becoming a hero and admiredbecoming a prisonerbecoming a victim of murder Why does the human use a large amount of energy when exposed to cold temperature for a long period of time You get yourself a new mirror so that you can admire yourself in the morning. When you open the box, you notice that it is only your height. You think to yourself "This is no good! Now I can't see all of me!" You put it up anyway and realize that you can see your entire body in it. How can this be? Which describes the error and solve for surface area. The plantation system in the South drove away ___.- Quakers- Poor white farmers- Catholics- All answers are correct. An investment, which has an expected return of 15%, is expected to make annual cash flows forever. The first annual cash flow is expected today and all subsequent annual cash flows are expected to grow at a constant rate of 5% per year. The cash flow expected today is expected to be $20000. What is the present value (as of today) of the cash flow that is expected to be made in 9 years from today? Eric created a rectangular patio 1 ft. paving stones which are sold in batches by a dozen the patio measures 7 x 8 how many batches of Pavingstone did Eric need Which of the following was NOT a reason for the United States going to war with Britain?The United States wanted to establish colonies in EnglandThe British were capturing American shipsThe Americans wanted Native American landThe British were still holding forts west of the Appalachian Mountains he following data has been collected about Keller Company's stockholders' equity accounts: Common stock $10 par value 30,000 shares authorized and 15,000 shares issued, 2,000 shares outstanding $150,000 Paid-in capital in excess of par value, common stock 60,000 Retained earnings 35,000 Treasury stock 25,000 Assuming the treasury shares were all purchased at the same price, the number of shares of treasury stock is: