27. Find the length of the segment LK. (G.CO.C.10)
Show your work! (2pts)
J
1
3x
L
K
X + 6
Click to add speaker notes

27. Find The Length Of The Segment LK. (G.CO.C.10)Show Your Work! (2pts)J13xLKX + 6Click To Add Speaker

Answers

Answer 1

Answer:

9

Step-by-step explanation:

the only thing we can say for sure is that JL is splitting the triangle and also its baseline IK in half.

so, both sides of the baseline must be equal :

3x = x + 6

2x = 6

x = 3

=> LK = x + 6 = 3 + 6 = 9


Related Questions

4/3/8
pls help
i will mark brainliest

Answers

Answer:

umm can you be more specific

Step-by-step explanation:

Answer:

32/3

Step-by-step explanation:

4 ÷ 3/8

 4        3

___ ÷ ___ (reciprocal method, then change the operation to multiplication)

 1         8

 4        8

___ × ___  (multiply)

 1         3

= 32/3

since 32/3 is already reduced, the final answer would be 32/3.

The question is one the picture

Answers

Answer:

y=-1/2x+4

Step-by-step explanation:

The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).

Mrs.Montana has five students namely:rodley,cristina,christian,elsa and made .Count all the letters in each name.In which of the following sets the order of the names least to greatest.
ARodley,cristina,Christian,mae,elsa
Bcristina,Christian elsa mae rodley
c Mae elsa rodley cristina Christian
D Christian Cristina rodley mae elsa

Answers

Answer:

C

Step-by-step explanation:

Mae, Elsa, Rodley, Cristina, Christian

You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 97.1%.

Answers

Answer:

The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

97.1% confidence level

So [tex]\alpha = 0.029[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.029}{2} = 0.9855[/tex], so [tex]Z = 2.18[/tex].

The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].

A particle sits on a smooth surface and is acted upon by a time dependent horizontal force, giving it an
acceleration of a = 2t
2 + 4t where t is in seconds. Given that it is initially at rest and experiences no resistance
to motion, find:
a) The velocity of the particle at time t.
b) The distance travelled by the particle if acted on by the force for 8s

Answers

(a) By the fundamental theorem of calculus,

v(t) = v(0) + ∫₀ᵗ a(u) du

The particle starts at rest, so v(0) = 0. Computing the integral gives

v(t) = [2/3 u ³ + 2u ²]₀ᵗ = 2/3 t ³ + 2t ²

(b) Use the FTC again, but this time you want the distance, which means you need to integrate the speed of the particle, i.e. the absolute value of v(t). Fortunately, for t ≥ 0, we have v(t) ≥ 0 and |v(t) | = v(t), so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of

∫₀⁸ v(u) du = ∫₀⁸ (2/3 u ³ + 2u ²) du = [1/6 u ⁴ + 2/3 u ³]₀⁸ = 1024

HELPP PLSS ILL MARK BRIANLIEST

Answers

Answer:

128cm

Step-by-step explanation:

Your Welcome :)

Which represents a quadratic function?
f(x) = -8X^3 – 16x^2 - 4x
f(x) = 3/4+ x^2 - 5
f(x) = 4/x^2-2/x+1
f(x) = 0x^2 - 9x + 7


Answers

Answer:

f(x) = 3/4x^2 + 2x -5

quadratic function formula is ax^2+b^2+c

1.62 was multiplied by a power of ten to get 16.2. What power of ten was it
multiplied by?
10
100
1,000

Answers

Answer:

10

Step-by-step explanation:

Every time you multiply by 10 you move the decimal point one digit to the right. So if you multiply 1.62 by 10 you move the decimal point one digit to the right so it becomes 16.2.

So the answer is 10

Answer:

The answer is 10

Step-by-step explanation:

Every time you multiply by a power of 10 that does not have a negative exponent, the decimal point moves to the right.

How many times, you might wonder. It all just depends on how many zeroes there are. If there's one 0, (10) then the decimal point just moves one over, if were multiplying by 100 then 2 places over, 1000 three places over, and so on.

1.62 * 10 = 16.2, since the decimal point moved one to the right.

10 is therefore the answer, but if you wanted to you could check the other answers as well.

1.62 * 100 = 162

1.62 * 1000 = 1620

Therefore, the answer is 10. Please mark brainliest if possible. Have a nice day.

A cone has a volume of 94.2 cubic millimeters and a radius of 3 millimeters. What is its
height?

Answers

Answer:

the answer is 97.2

Step-by-step explanation:

Just add 94.2+3

B is the midpoint of segment AC trying to find AB using the definition of midpoint.

Answers

Answer:

12

Step-by-step explanation:

A midpoint of a line means that each segment connecting from the midpoint to an end is equal. For this problem, this means that AB = BC, as B is the midpoint, and A and B are the ends. Therefore, we can say that:

AB = BC

2x + 6 = 5x - 3

add 3 to both sides

2x + 9 = 5x

subtract 2x from both sides

9 = 3x

divide both sides by 3

3 = x

Plugging 3=x into AB, this means that 2(3) + 6 = AB = 12

ASAP there are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble? Use the following probability to find the answer.

Answers

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex]p = \frac{favorable \: outcomes}{total \: outcomes} = \frac{4}{9} [/tex]

Answer:  Choice D)  4/9

=============================================================

Explanation:

The probability you get a black marble on the first selection is 2/3 since we have 2 black marbles out of 2+1 = 3 total.

We put the marble back and then we have 2/3 as the probability of selecting another black marble on the second try. Nothing has changed because we put the marble back. That means the events are independent.

So we get (2/3)*(2/3) = 4/9 as the probability of selecting 2 black marbles in a row (with replacement).

At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answers

This question is incomplete, the complete question;

At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answer:

the length of the shadow will be 379 ft

Step-by-step explanation:

Given the data in the question and as represented in the diagram below;

height of monument = 555 ft

angle of elevation = 55.7°

From the image below, this makes a right angled triangle

we know that the some of the interior angles of a triangle is 180

so

∠ABC + ∠BCA + ∠CAB = 180°

90° + 55.7° + ∠CAB  = 180°

∠CAB = 180° - 145.7°

∠CAB = 34.3°

Now, using sine rule;

BC / sinA = AB / sinC

so we substitute

BC / sin( 34.3°) = 555 / sin( 55.7° )

BC / 0.563526 = 555 / 0.826098

we cross multiply

BC × 0.826098 = 0.563526 × 555

BC × 0.826098 = 312.75693

BC = 312.75693 / 0.826098

BC = 378.595 ≈ 379 ft

Therefore, the length of the shadow will be 379 ft

Please please help me I’ve tried soooo many times

Answers

value of u = 2

Hope it helps you...

Answer:

u = 2

Step-by-step explanation:

6u + 7 = 29 - 5u

6u + 5u + 7 = 29 - 5u + 5u

11u + 7 = 29

11u + 7 - 7 = 29 - 7

11u = 22

11u ÷ 11 = 22 ÷ 11

u = 2

What is the sum of the interior
angle measures of a polygon
that has 20 sides?
Sum = [?]"
Hint: Sum = (n-2)180

Answers

Step-by-step explanation:

if N= given Side then,

(20-2)180

18×180

3240° Answer

Answer:

n=20 side

sum=(n-2)180

=(20-2)180

=(18)180

=3240

Convert the following equation into slope-intercept form.

x-26y=52

Answers

y=1/26x-2 would be the answer

simplify 4x-x squared ÷2x-x squared​

Answers

Answer:

[tex] \frac{4x - x}{2x - x} \\ = \frac{x(4 - 1)}{x(2 - 1)} \\ = \frac{3}{1} \\ = 3[/tex]

Answer:

[tex]\frac{7x}{3} \\[/tex]-[tex]x^{2}[/tex]

Step-by-step explanation:

14.32 × 1.2,...........

Answers

Answer:

17.18400

Step-by-step explanation:

When rounded to the nearest whole number, it's 17.

Hope this helped :)

Who can answer this? I’ll mark brainliest!!

Answers

Answer:

y = 0.48(x - 0.5)² - 3

y = 0.48(x² - x - 6)

Step-by-step explanation:

From the graph the zeros are

x = {-2, 3}

The x coordinate of the vertex is the midpoint of the roots

x = (-2 + 3) / 2

x = 0.5

The y coordinate of the vertex is

y = -3

vertex = (0.5, -3)

--------------------------------------

Merhod I - vertex

Vertex form is

y = a(x - h)² + k

plug in the vertex

y = a(x - 0.5)² - 3

to find a plug in either root

using x = 3

0 = a(3 - 0.5)² - 3

0 = a(2.5)² - 3

0 = 6.25a - 3

3 = 6.25a

a = 3/6.25

a = 0.48

y = 0.48(x - 0.5)² - 3

-----------------------------

Method II - roots

y = a(x + 2)(x - 3)

-3 = a(0.5 + 2)(0.5 - 3)

-3 = a(2.5)(-2.5)

-3 = -6.25a

3/6.25 = a

0.48 = a

y = 0.48(x + 2)(x - 3)

Expand

y = 0.48(x² - x - 6)

Only higher experienced need answer theorems all 5 questions. Thank you 200points if repeating the last question.

Answers

Answer:

first one : inscribed angles create arc twice their degree

so, 115° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Answer:

15° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Step-by-step explanation:

Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2017/2018 school year.

Male Female Total
Online Only 2,000 7,000 9,000
Online and in class 8,000 1,000 9,000
Total 10,000 8,000 18,000

What does the data suggest about the relationship between sex and enrollment?

a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males.
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.

Answers

Answer:

a. Females are more likely to enroll in Online Only courses than males.

Step-by-step explanation:

Given

The collected data

Required

Which of the options is true

(a): Female more likely in online only courses

In online courses, we have:

[tex]Female = 7000[/tex]

[tex]Male = 2000[/tex]

By comparison:

[tex]7000 > 2000[/tex]

Hence, this statement is true

Other options are false

Which sum or difference is modeled by the algebra tiles?
A. (x2 − 2x + 3) − (-x2 − 4x − 2) = 2x − 1
B. (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1
C. (x2 − 2x − 3) − (x2 + 4x + 2) = 2x − 1
D. (x2 − 2x − 3) + (-x2 + 4x + 2) = 2x – 1

Answers

im solving now almost done

Answer:

b.)    (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1

;)

Fourteen children out of a group of 26 like chocolate ice cream. What would be the numerator of the fraction illustrating proportion of children in this group that do not
like chocolate ice cream?

Answers

Answer:

12

Step-by-step explanation:

The amount of children that do like ice cream are 14/26 so the children that do not like ice cream 14/26, and the numerator is 12

In randomly generated list of numbers from 0 to 4, the chance that each
number can occur is
1/4

Answers

False, there are 5 possible outcomes
0
1
2
3
4
So the chance of each number is 1/5 or 20%

Answer:

Foss

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEEEEEEEEWEW

Answers

Take a photo of it and then put the photo in Photo math

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:

Finance Majors Business Analytics Majors
n1 = 140 n2 = 30
x1 = $48,237 x2 = $55,417
s1 = $19,000 s2 = $10,000

Required:
a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the population mean salary for Finance majors, and let μ2 = the population mean salary for Business Analytics majors.
b. What is the value of the test statistic?
c. What is the p-value? (Round your answer to four decimal places.)
d. What is your conclusion?

Answers

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

[tex]H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0[/tex]

For point b:

[tex]t = -2.953[/tex]

For point c:

[tex]\to p- value = 0.0021[/tex]

For point d:

Reject [tex]H_o[/tex]. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

Question: An expression is shown below: f(x) = x^2 – 6x + 5

Part A: What are the x-intercepts of the graph of f(x)? Show your work.

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answers

Answer:

x-int > 1 and 5

vertex > 3,4

maximum

Step-by-step explanation:

you have to factor the equation

(x-1)(x-5) > xint is 1 and 5

Find the distance between the pair of points: (0,1) and (1,0)

Answers

Answer:

sqrt(1^2 + 2^2)

[tex]\sqrt{2}[/tex]

Step-by-step explanation:

PLEASE HELP ASAPPP!! I WILL GIVE BRAINLIEST AND POINTS!!
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
f(x) = -x2 - 6x

Answers

Answer:

The vertex is at (-3, 9).

The axis of symmetry is x = -3.

Step-by-step explanation:

We have the function:

[tex]f(x)=-x^2-6x[/tex]

And we want to determine its vertex and the equation of its axis of symmetry.

The vertex can be found with the following formulas:

[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = -6, and c = 0.

Find the x-coordinate of the vertex:

[tex]\displaystyle x=-\frac{(-6)}{2(-1)}=-3[/tex]

To find the y-coordinate substitute this value back into the function:

[tex]\displaystyle f\left(-\frac{b}{2a}\right)=f(-3)=-(-3)^2-6(-3)=9[/tex]

So, the vertex of the equation is (-3, 9).

The axis of symmetry is goes through the vertex point. So, the equation for the axis of symmetry is simply the x-value. Therefore, the equation is:

[tex]x=-3[/tex]

Step-by-step explanation:

you can arrange f(x) as :

f(x) = 3(x^2 +3x ) +12 = 3 (x +1.5) ^2 + 5.25

so you can see the vertex is at (0,5.25) when x =-1.5

the axis symmetry then lies in x =-1.5

Raymond is designing a ceramic pot on a coordinate system where each unit corresponds to 1 millimeter. The neck of the
pot has edges with the shape of a hyperbola, where the asymptotes y = 2.75x and y = -2.75x are followed. If the closest
that any part of the neck edges comes to the center of the neck is 32 millimeters, write an equation for the hyperbola used
to model the edges.

Answers

9514 1404 393

Answer:

  x^2/1024 -y^2/7744 = 1

Step-by-step explanation:

The parent hyperbola relation is ...

  x^2 -y^2 = 1

This has asymptotes of y = ±x and x-intercepts of ±1.

For the given hyperbola, we want to scale x by a factor of 32, and y by a factor that is 2.75 times that, or 88. Then the equation could be written as ...

  (x/32)^2 -(y/88)^2 = 1

More conventionally, the denominator is shown at full value:

  x^2/1024 -y^2/7744 = 1

Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer

Answers

Step-by-step explanation:

63+81

gcf = 9

63÷9=7, 81÷9=9

so, 63+81 = (9×7)+(9×9)

= 9×(7+9)

63+81 = 144

9x(7+9) = 9×16 = 144

Other Questions
Akbar introduced ____ A crop is sprayed with a pesticide to prevent infestation and damage from insects. However, the next season the same pesticide fails to prevent the insects from damaging the crop. Why who were marathas? what effect did they have on aurangzabs empire what affects our utility 20 PTS!! Which best describes the relationship between the line that passes through the points (1, -6) and (3,-2) and the line thatpasses through the points (4, 8) and (6, 12)?A. parallelB. neither perpendicular nor parallelC. same lineD. perpendicular What is the common denominator ofPlease ignore my choice I had to click one of them At 50.0 oC, a reinforced tank contains 675.5 grams of gaseous argon and 465.0 g of gaseous molecular chlorine with a total pressure of 4.00 atm. Calculate the following:a. How many moles of Ar are in the tank?b. How many moles of Cl, are in the tank? c. Total moles of gas in the tank. d. The mole fraction of Ar. e. The mole fraction of Cl2. f. The Partial Pressure of Ar. g. The Partial Pressure of Cl2. A series of two-point crosses among fruit flies is carried out between genes for brown eyes (bw), arc wings (a), vestigial wings (vg), ebony body color (e), and curved wings (cv). The following number of nonrecombinant and recombinant progeny were obtained from each cross:Genes in cross Progeny (NR) Progeny (R)a,bw 2224 117a,cv 2609 823a,e 3200 3200a,vg 5172 2379bw,cv 4614 1706bw,e 4150 4150bw,vg 2796 1434cv,e 3116 3116cv,vg 2102 305vg,e 4559 4559Using these data from two-point crosses, what it the best genetic map (in m.u.) that can be developed? A) cv 5 bw 13 a 34 vg with e assorting independently B) bw 5 cv 24 vg 32 a with e assorting independently C) a 5 bw 13 vg 24 e with vg assorting independently D) cv 13 bw 5 a 27 vg with e assorting independently E) bw 5 a 24 cv 13 vg with e assorting independently Ollie baked cookies for his math class' end-of-year party. There are 24 people in the class. If Ollie baked enough cookies for everyone to get 2 cookies each, how many cookies did he bake? Which of the following best describes Lincoln's views toward the South as the Civil War was drawing to a close?A Lincoln wanted the country to heal and offered generous terms of surrender.B He was taking a wait-and-see approach to observe how Confederate leaders acted after the war.C Lincoln considered rescinding the Emancipation Proclamation in order to get the South to surrender quicker.D Lincoln wanted to punish the South for the war and treat it like conquered territory. Transpiration is evaporation from plants.TrueFalse What percentage of total hours was spent playing football Name thealternateinterior anglewith angle 5.HELPP PLEASEEE Statement of Cash Flows (Indirect Method)Use the following information regarding the Lund Corporation to (a) prepare a statement of cash flows using the indirect method and (b) compute Lund's operating-cash-flow-to-current-liabilities ratio.Accounts payable increase $13,500Accounts receivable increase 6,000Accrued liabilities decrease 4,500Amortization expense 9,000Cash balance, January 1 33,000Cash balance, December 31 22,500Cash paid as dividends 43,500Cash paid to purchase land 135,000Cash paid to retire bonds payable at par 90,000Cash received from issuance of common stock 52,500Cash received from sale of equipment 25,500Depreciation expense 43,500Gain on sale of equipment 6,000Inventory decrease 19,500Net income 114,000Prepaid expenses increase 3,000Average current liabilities 150,000a. Use negative signs with cash outflow answers.LUND CORPORATIONStatement of Cash FlowsFor Year Ended December 31Cash Flow from Operating ActivitiesNet Income AnswerAdd (deduct) items to convert net income to cash basisDepreciation AnswerAmortization AnswerGain on Sale of Equipment AnswerAccounts Receivable Increase AnswerInventory Decrease AnswerPrepaid Expenses Increase AnswerAccounts Payable Increase AnswerAccrued Liabilities Decrease AnswerCash Flow Provided by Operating Activities AnswerCash Flow from Investing ActivitiesSale of Equipment AnswerPurchase of Land AnswerCash Used by Investing Activities AnswerCash Flow from Financing ActivitiesIssuance of Common Stock AnswerRetirement of Bonds Payable AnswerPayment of Dividends AnswerCash Used by Financing Activities AnswerNet Decrease in Cash AnswerCash at Beginning of Year AnswerCash at End of Year Answerb. Operating-cash-flow-to-current-liabilities ratio (Round answers to two decimal places.) Sonia took a loan of $10 000 from ABC bank tob pay for a renovation at home. The bank offered her a period of 30 months at a rate of 10.5%. to repay the loan: a) Calculate the Simple Interest she would pay in 30 months. b) Calculate the Total amount Sonia would have to repay the bank. Your English teacher asks you to write a story. You have to start with the story: I had a natural occurrence when I turned on the television. Ill give brainliest to whoever gets it right. Find the surface area of this prism.Round to the nearest tenth.6.72 cm5.78 cm12.7 cm[ ? ]cm Cc bn i gip mnh gii bi ny vi . Mnh cm n.Doanh nghip l doanh nghip sn xut my iu ha nhit c cng sut 30000BTU. Tnh hnh sn xut kinh doanh trong thng l: - tiu th trong nc 500 chic vi gi bn cha thu GTGT l 5500000/ chic.- Bn cho doanh nghip trong khu ch xut 50 chic vi gi bn ti ca khu chu ch xut l 250USD/ chic ( gi FOB)Bit thu sut thu TTB l 10%. T gi i oi: 1USD= 20000 VND. Tnh thu TTB phi np. From Emperor to Citizen is a biography of the last emperor of China.True False Nexis Corp. issues 1,000 shares of $15 par value common stock at $22 per share. When the transaction is recorded, credits are made to:______. a. Common Stock, $22,000, and Retained Earnings, $15,000 b. Common Stock, $22,000 c. Common Stock, $15,000, and Paid-In Capital in Excess of Par, $7,000 d. Common Stock, $7,000, and Paid-In Capital in Excess of Stated Value, $15,000