Find the largest value of x that satisfies: logo () - logs (+ 5) = 5 =

Answers

Answer 1

The largest value of x that satisfying  logₑ(2x) - logₑ(x+5) = 5 is (5e⁵)/(2 - 5e⁴).

The equation given to us is logₑ(2x) - logₑ(x+5) = 5.

We need to find the largest value of x that satisfies this equation.

Step 1: Use the properties of logarithms

logₑ(2x) - logₑ(x+5) = 5

logₑ(2x/(x+5)) = 5

logₑ(2x/(x+5)) = logₑ(e⁵)

Use the property of logarithms that says if logₐ(b) = logₐ(c),  then b = c.

2x/(x+5) = e⁵

Solve for x.x = (5e⁵)/(2 - 5e⁴)

The largest value of x that satisfies the equation is (5e⁵)/(2 - 5e⁴).

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Correct question is Find the largest value of x that satisfies: logₑ(2x) - logₑ(x+5) = 5.


Related Questions

Someone help me out plzz

Answers

Answer:

with what? You forget to attach the problem lol

Step-by-step explanation:

Answer: What is the question you need help with??

Step-by-step explanation:

Help is much needed pls. I can only put 15 points.

Answers

Answer:

9.2

Step-by-step explanation:

first i added 5 + 3 = 8

then i did 1 1/5 + 8=9 1/5

Maria is decorating her school's cafeteria for the end- of- year dance. The dimensions of the room are labelled below. What is the smallest length of streamer that will go around the entire perimeter of the room? Round your answer to the nearest foot.

Answers

Answer:

59 feets

Step-by-step explanation:

The length of bottom base = (8 + 2 + 2) = 12

Circumference of semicircle : 2πr/2 ; r = 4/2 = 2

Circumference of semicircle = π * 2 = 6.28

Length of streamer that will go around the entire perimeter :

From the figure attached :

Circumference of semicircle = 6.28

6.28 + 6 + 2(down) + 2(right) + 8(down) + 2(left) + 2(up) + 2(left) + 2(down) + 8(left) + 10

6.28 + 6 + 2 + 2 + 8 + 2 + 2 + 2 + 2 + 8 + 10 = 50.28 feets = 50 ft (nearest whole number)

Why is convenience sampling biased? a. It takes too long to obtain b. none of the above c. The sample does not represent the population d. is too easy

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Answer:

A

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

HELP HELP PLS I NEED TO DO THIS BY TONIGHT PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question:What percent of the time did Trent spend at least 80 minutes on homework?

Answers

Answer:

25%

Step-by-step explanation:




2. (6 points) Use Bisection method to find solution accurate to within 10-5 for the following problems: x2 + 2x – 3 = 0, for – 2 < x < 2, X – 2-4 = 0, for 0 < x < 1. Show the number of iteration

Answers

Using the Bisection method, we need to find solutions accurate to within [tex]10^{-5}[/tex] for the equations [tex]x^{2}[/tex]+ 2x - 3 = 0 in the range -2 < x < 2 and x - [tex]2^{-4}[/tex] = 0 in the range 0 < x < 1.

For the equation [tex]x^{2}[/tex] + 2x - 3 = 0:

We start with an initial interval [-2, 2] and evaluate the function at the midpoint of the interval. If the function value is close to 0, we consider it as the solution. Otherwise, we narrow down the interval by dividing it in half and selecting the subinterval where the function changes sign. This process is repeated until the desired accuracy is achieved (within [tex]10^{-5}[/tex]). The number of iterations required will be recorded.

For the equation x - [tex]2^{-4}[/tex]= 0:

We follow the same steps as above but with the initial interval [0, 1]. Again, we iterate until the desired accuracy is reached and keep track of the number of iterations.

By applying the Bisection method and counting the number of iterations for each equation, we can find solutions accurate to within 10^-5 for both equations and determine the required number of iterations for each case.

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Viking Voyager specializes in the design and production of replica Viking boats. On January 1, 2021, the company issues $2,900,000 of 9% bonds, due in 20 years, with interest payable semiannually on June 30 and December 31 each year.

Required:

1. If the market interest rate is 9%, the bonds will issue at $2,900,000. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field.)

2. If the market interest rate is 10%, the bonds will issue at $2,651,193. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your answers to the nearest dollar amount.)

3. If the market interest rate is 8%, the bonds will issue at $3,186,995. Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your answers to the nearest dollar amount.)

Answers

The bond issue and interest payments are recorded differently based on the market interest rate.

How to find the bond issue and interest payments recorded based on the market interest rate?

The recording of bond issue and interest payments depends on the market interest rate. When the market interest rate is equal to the stated rate of 9%, the bonds will issue at their face value of $2,900,000.

On January 1, 2021, the company would debit Cash for $2,900,000 and credit Bonds Payable for $2,900,000 to record the bond issue.

The interest payments on June 30, 2021, and December 31, 2021, would be recorded by debiting Interest Expense for $130,500 ([$2,900,000 * 9%]/2) and crediting Cash for $130,500.

However, when the market interest rate is 10% or 8%, the bonds will issue at a discount or premium, respectively. If the market interest rate is 10%, the bonds will issue at $2,651,193 (rounded).

In this case, the bond issue on January 1, 2021, would be recorded by debiting Cash for $2,651,193 and crediting Discount on Bonds Payable for $248,807 ($2,900,000 - $2,651,193).

The interest payments on June 30, 2021, and December 31, 2021, would be recorded as mentioned earlier.

Conversely, if the market interest rate is 8%, the bonds will issue at $3,186,995 (rounded).

The bond issue on January 1, 2021, would be recorded by debiting Cash for $3,186,995 and crediting Premium on Bonds Payable for $286,995 ($3,186,995 - $2,900,000).

The interest payments on June 30, 2021, and December 31, 2021, would be recorded accordingly.

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PLEASE HELP FAST WILL GIVE BRAINLIEST

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Answer:

QT=8 VQ=17 this is what i came up with because i myself have ur question and i don't know what it is?

What is the range and domain of y = (x - 4)(x - 6)? I have already sketched out the graph and parabola.

Answers

Answer: The domain of the function y = (x - 4)(x - 6) is all real numbers, since there are no restrictions on the values that x can take. The range of the function is also all real numbers.

To see why this is the case, we can rewrite the function in standard form by expanding the product: y = (x - 4)(x - 6) = x^2 - 10x + 24. This is a quadratic function with a positive leading coefficient, so its graph is a parabola that opens upwards. The vertex of the parabola is at x = -b/2a = 10/2 = 5, and y = (5 - 4)(5 - 6) = -1. Since the parabola opens upwards, it extends infinitely upwards from its minimum value at the vertex. Therefore, the range of the function is all real numbers greater than or equal to -1.

So, the domain of y = (x - 4)(x - 6) is all real numbers and its range is all real numbers greater than or equal to -1.

Step-by-step explanation:

Answer:

[tex]y = {x}^{2} - 10x + 24[/tex]

Domain: all real numbers

Range: all real numbers > -1

Alright here is a repost

Answers

Answer:

50 degrees

Step-by-step explanation:

180-130=50

Answer:

The answer was already given(50°), but I can explain it further.

Step-by-step explanation:

These are supplementary angles, two angles that, together, make 180 degrees.

We know the angle of one of them, 130°, and in order to find the other one, x, we have to subtract what the entire this equals, 180°:

180° - 130° = x

50° = x

x = 50°

I hope this helped you, even if this was two hours ago.

A researcher wanted to determine the number of televisions in households. He conducts a survey of 40 randomly selected households and obtains the data in the accompanying table. Complete parts (a) through (h) below. 囲 (a) Are these data discrete or continuous? Explain O A. The given data are discrete because they can take on any real value. Click the icon to view the table of television counts. Table of television counts B. ° C. O D. The given data are discrete because they can only have whole number values. The given data are continuous because they can take on any real value. The given data are continuous because they can only have whole number values. 0 3 2 211 1 3P 3 21 3 21 3 2 2 1 1 3 1 11 2

Answers

The correct statement regarding the variable in this problem is given as follows:

D. The given data are discrete because they can only have whole number values.

What are continuous and discrete variables?

Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, …

In the context of this problem, the variable is the number of televisions, which must be a whole number, such as 0, 1, 2, ..., 10, ..., hence option D is the correct option for this problem.

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Finding slope..

Photo included^

Answers

Answer:

slope=2/3

y intercept=4

Step-by-step explanation:

Find the lengths of the curves in y = tan x, -7/3 = x < 0

Answers

The length of the curve y = tan x, -7/3 ≤ x < 0 is approximately 4.481 units.

To calculate the length of the curve, we can use the arc length formula. For a function y = f(x) on the interval [a, b], the arc length is given by the integral:

L = ∫[a,b] √(1 + (f'(x))²) dx,

where f'(x) represents the derivative of f(x) with respect to x.

In this case, the function is y = tan x and the interval is -7/3 ≤ x < 0. To find the derivative, we differentiate y = tan x with respect to x, which gives:

y' = sec² x.

Now we can substitute these values into the arc length formula:

L = ∫[-7/3,0] √(1 + (sec² x)²) dx.

Simplifying the expression under the square root gives:

L = ∫[-7/3,0] √(1 + tan⁴ x) dx.

To evaluate this integral, we can make a substitution. Let u = tan x. Then du = sec² x dx. Using this substitution, the integral becomes:

L = ∫[tan(-7/3),tan(0)] √(1 + u⁴) du.

Now we need to find the limits of integration. Since -7/3 ≤ x < 0, we can evaluate the tangent function at these values to get:

L = ∫[tan(-7/3),0] √(1 + u⁴) du.

Finally, we can use numerical methods or a calculator to evaluate this integral. The result is approximately 4.481 units.

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Determine L {f(t)} for f (t) = sin (V24) + te- T sin (T) dr. S Ts +1 Fully explain your reasoning to receive full credit. Is it possible for F(s) = 1 + 1 to be the Laplace transform of some function f (t)?

Answers

The Laplace transform of [tex][f(t) = \sin{\sqrt{24}} + te^{-t}\sin{t} \implies L{f(t)} = \frac{\sqrt{24}}{s^2 + 24} + \frac{1}{(s + 1)^2 + 1}][/tex] . However, F(s) = 1 + 1 cannot be the Laplace transform of any valid function f(t) because it does not satisfy the properties and rules of Laplace transforms.

To determine the Laplace transform of the function [tex]\[f(t) = \sin{\sqrt{24}} + te^{-t}\sin{t}\][/tex], we need to apply the properties and formulas of Laplace transforms.

1. Laplace Transform of sin(√24):

The Laplace transform of sin(at) is given by [tex]\[F(s) = \frac{a}{s^2 + a^2}\][/tex]. In this case, a = √24.

So, the Laplace transform of [tex]\[\sin{\sqrt{24}} \implies F(s) = \frac{\sqrt{24}}{s^2 + 24}\][/tex].

2. Laplace Transform of [tex]\[te^{-t}\sin{t}\][/tex]:

To find the Laplace transform of this term, we can use the product rule and the Laplace transform of each component.

The Laplace transform of t is given by [tex]\[F(s) = \frac{1}{s^2}\][/tex], and the Laplace transform of e^(-t)sin(t) can be found using the table of Laplace transforms.

Using the table, the Laplace transform of [tex]\begin{equation}\mathcal{L}(e^{-t}\sin(t)) = \frac{1}{(s + 1)^2 + 1}[/tex].

3. Adding the Laplace transforms:

Since the Laplace transform is a linear operator, we can add the individual Laplace transforms of [tex]sin(\sqrt{24})[/tex] and [tex]te^{-t}\sin(t)[/tex] to obtain the Laplace transform of the whole function f(t).

Therefore, [tex]L\{f(t)\} = \frac{\sqrt{24}}{s^2 + 24} + \frac{1}{(s + 1)^2} + 1[/tex]

Now, to address the second part of the question:

Is it possible for F(s) = 1 + 1 to be the Laplace transform of some function f(t)?

No, it is not possible for F(s) = 1 + 1 to be the Laplace transform of a valid function f(t). The Laplace transform is a mathematical operation that converts a function of time (f(t)) into a function of the complex variable s (F(s)). The Laplace transform must follow specific properties and rules, and it is not possible for F(s) = 1 + 1 to satisfy these properties and correspond to a valid function f(t).

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The Laplace transform of

L {f(t)} for f (t) = sin (V24) + te- T sin (T) => Lf(t) = √24/s²+24 + 1/(s+1)²+1 .

However, F(s) = 1 + 1 cannot be the Laplace transform of any valid function f(t) because it does not satisfy the properties and rules of Laplace transforms.

Here, we have,

To determine the Laplace transform of the function

f (t) = sin (V24) + te- T sin (T) , we need to apply the properties and formulas of Laplace transforms.

1. Laplace Transform of sin(√24):

The Laplace transform of sin(at) is given by F(s)= a/s²+a².

In this case, a = √24.

So, the Laplace transform of sin(√24) => F(s)= √24/s²+24 .

2. Laplace Transform of te- T sin (T):

To find the Laplace transform of this term, we can use the product rule and the Laplace transform of each component.

The Laplace transform of t is given by F(s)=1/s², and the Laplace transform of e^(-t)sin(t) can be found using the table of Laplace transforms.

Using the table, the Laplace transform of L(e^(-t)sin(t)) = 1/(s+1)²+1.

3. Adding the Laplace transforms:

Since the Laplace transform is a linear operator, we can add the individual Laplace transforms ofsin(√24) and e^(-t)sin(t) to obtain the Laplace transform of the whole function f(t).

Therefore,

Lf(t) = √24/s²+24 + 1/(s+1)²+1

Now, to address the second part of the question:

Is it possible for F(s) = 1 + 1 to be the Laplace transform of some function f(t)?

No, it is not possible for F(s) = 1 + 1 to be the Laplace transform of a valid function f(t). The Laplace transform is a mathematical operation that converts a function of time (f(t)) into a function of the complex variable s (F(s)). The Laplace transform must follow specific properties and rules, and it is not possible for F(s) = 1 + 1 to satisfy these properties and correspond to a valid function f(t).

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What is the equation, in slope-intercept form, of the line that contains the points (3, -4) and (5, -6)? A. y = -x - 1 B. y = -x + 1 C. y = x - 1 D. y = x + 1

Answers

Answer:

Hi! The answer to your question is A. [tex]y=-x-1[/tex]

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

a

Step-by-step explanation:

Solve the triangle using the law of cosines

Answers

Answer: Ac = 2.2in A = 57deg, B = 111deg

edg2021

what is the measure of ∠x?

Answers

Answer:

83°

Step-by-step explanation:

WZ is a straight line. Angles at a straight line add up to 180°.

180 - 97 =83°




How many edges does the complete bipartite graph K_(4, 9) have? Your answer

Answers

The number of edges in the complete bipartite graph is 36

How to determine the number of edges in the complete bipartite graph

From the question, we have the following parameters that can be used in our computation:

K = (4, 9)

The above means that

The vertices in the sets of the bipartite graph are

Set 1 = 4

Set 2 = 9

The number of edges in the complete bipartite graph is then calculated as

Vertices = Set 1 * Set 2

So, we have

Vertices = 4 * 9

Evaluate

Vertices = 36

Hence, there are 36 edges in the bipartite graph

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Determine the are length on a circle of radius 7 and an included angle of 4.5 radians.

Answers

Answer:

The arc length of a circle is 31.5.

Step-by-step explanation:

The arc length can be found as follows:

[tex] arc = r\theta [/tex]

Where:

arc: is the length of the arc of the circle

r: is the radius = 7

θ: is the angle = 4.5 rad        

[tex] arc = r\theta = 7*4.5 = 31.5 [/tex]

Therefore, the arc length of a circle is 31.5.

I hope it helps you!

f(1) = -6

f(2) = -4

f(n) = f(n − 2) + f(n − 1)

f(3) =

Answers

Answer:

-10

Step-by-step explanation:

f(n)= f(n-2)+f(n-1)

• Put n = 3

=> f(3) = f(3-2) + f(3-2)

=> f(3) = f(1) + f(2)

=> f(3) = -6 + -4

=> f(3) = -10

Answer:

it in a file here

Step-by-step explanation:

xycba.com/file

If 23 cubic meters of water are poured into a conical vessel, it reaches a depth of 12 cm. how much water must be added so that the length reaches 18 cm.?

Answers

Let V be the volume of the conical vessel and r and h be the radius and height of the vessel respectively. Given that: V = (1/3)πr²hLet V' be the volume of the water that is added to the vessel. The volume of the water in the vessel with a depth of 12 cm is given by: V₁ = (1/3)πr₁²h₁where h₁ = 12 cm. We know that 23 cubic meters of water are poured into the vessel, which is equivalent to 23,000 liters or 23,000,000 cubic centimeters.

Thus:23,000,000 = (1/3)πr₁²(12)Simplifying and solving for r₁, we get: r₁ = 210.05 cm Using similar triangles, we know that :r/h = r₁/h₁ where r is the radius of the water surface when the depth is 18 cm. Thus: r/h = 210.05/12Therefore:r = (210.05/12)·18 = 3,152.5/6 ≈ 525.4 cm The new volume of the water with a depth of 18 cm is given by: V₂ = (1/3)πr²h₂where h₂ = 18 cm.

Therefore: V₂ = (1/3)π(525.4)²(18) ≈ 21,154,116.9 cubic centimeters The additional volume of water needed is therefore: V' = V₂ - V₁ = 21,154,116.9 - 23,000,000 ≈ -1,845,883.1 cubic centimeters.

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Eleven increased by three times a number equals 68) Write an equation for this situation and then find the
number

Answers

Answer:

11+3x=68

x=19

Step-by-step explanation:

11+3x=68 is your equation.

subtract 11 from both side to get 3x alone

3x=68-11

3x=57

divide 3 from both sides to get x alone

x=57/3

x=19

19 is your number.

help pleaseee, no links!

Answers

A right triangle follows the Pythagorean theorem: a^2 + b^2 = c^2

Let’s work out the problems
1. 20^2 + 72^2 = 75^2
40 + 5184 = 5625
False

2. 40^2 + 74^2 = 85^2
1600 + 5476 = 7225
False

3. 45^2 + 60^2 = 75^2
2025 + 3600 = 5625
True

The correct answer is (45, 60, 75)

Let * be an operation defined on the real numbers R by x*y = x +y - ry. Please answer the following questions and explain your answers. (a) Is * closed on the real numbers? (b) Is * commutative? (c) Is * associative? (d) Does * have an identity element? If so, does every integer have an inverse? (e) Is (R, *) a group?

Answers

(a) No, the operation * is not closed on the real numbers.

To determine closure, we need to check if for any two real numbers x and y, xy is also a real number. However, if we choose r to be any real number other than 1, the result of xy will involve a term (-ry) that may not be a real number, breaking closure.

(b) No, the operation * is not commutative.

Commutativity requires that xy = yx for all real numbers x and y. However, in this case, xy = x + y - ry, while yx = y + x - rx. Since ry and rx are not generally equal, the operation is not commutative.

(c) No, the operation * is not associative.

Associativity requires that (xy)z = x(yz) for all real numbers x, y, and z. However, if we substitute the definition of * into both sides of the equation, we get different expressions that are generally not equal. Therefore, the operation * is not associative.

(d) Yes, the operation * has an identity element.

The identity element e is a real number such that for any real number x, xe = ex = x. In this case, choosing e = 0 satisfies the identity condition, as x0 = x + 0 - r0 = x. However, not every real number has an inverse since there are values of x for which xy = e has no solution, violating the requirement for every element to have an inverse.

(e) No, (R, *) is not a group.

A group requires closure, associativity, an identity element, and every element having an inverse. Since the operation * fails to satisfy closure and does not have inverses for all real numbers, it cannot form a group.

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How to write the equation for ¨The quotient of x and three increased by 12 is 20. What is x?

Answers

Answer:

x/3 + 12 = 20

Step-by-step explanation:

what is the solution of x equals 2 + sqrt x - 2
a.) x=2
b.)x=3
c.)x=2 or x=3
d.) no solution​

Answers

Answer: c. x=2 or x=3

Hope this helped! :)

Answer:

x = 2 or x = 3

Step-by-step explanation:

x = 2 + sqrt(x - 2)

x - 2 = sqrt(x - 2)                  You could divide both sides by sqrt(x - 2)

sqrt(x - 2) = 1                        Square both sides

x - 2 = 1                                Add 2 to both sides

x = 3

There is a second way.

x - 2 = sqrt(x - 2)                 Square

x^2 - 4x + 4 = x - 2             Transfer x - 2 to the left

x^2 - 5x + 6 = 0                   Factor

(x - 2)(x-3)      = 0                 Find the roots.

x - 2 = 0

x = 2

x - 3 = 0

x = 3

We have to check both results.

x = 2 + sqrt(x - 2)

2 = 2 + sqrt(2 -2)

2 = 2 + 0

2 = 2    This seems to work.

x = 2 + sqrt(x - 2)

3 = 2 + sqrt(3 - 2)

3 = 2 + sqrt(1)

3 = 2 + 1

3 = 3  And this works.

PLS HELP ME ASAP PLS PLS PSL

Answers

Answer:

25

Step-by-step explanation:


Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

x = 6

Step-by-step explanation:

We solve that above question using the trigonometric function of Tangent

Tan theta = Opposite/Adjacent

Theta = 45°

Opposite = 6

Adjacent = x

tan 45° = 6/x

tan 45 in rational form = 1

1 = 6/x

Cross Multiply

x = 6

Which choice does not represent a set of endpoints that create a horizontal line segment? A (1, 13) and (14, 13) B (-10, 0) and (-10, 1) C (3, -20) and (-11, -20) D (16, 2) and (-2, 2)

Answers

Answer:

Step-by-step explanation:

horizontal line segment: B (-10, 0) and (-10, 1)

8/6 + (3/8 + x)(2) =

Answers

Answer:

2x+25/12

Step-by-step explanation:

Hope this helps and have a great day!!!!!

Other Questions
Gun-control advocates, including the Brady Campaign to Prevent Gun Violence, have criticized the Stand Your Ground laws that have been passed in many states. These laws expanded the definition of justifiable self-defense and provides that anyone claiming to feel threatened no longer has an obligation to retreat or avoid use of deadly force. Assume you are defending a woman accused of shooting a young girl who knocked on her front door late at night. Your client had heard about break-ins in the local area on the news and thought she was about to be robbed. The girl at the door was actually looking for help because her car had become stuck in a snowbank at the foot of your client's driveway. Based on these facts and any reasonable fact you can add to the scenario, how would you convince a jury that your client should not be convicted of shooting the young girl? Assume you are successful in your argument, and it appears that you have convinced a jury your client was in fear. If the fear needs to be a reasonable one, how would the prosecutor counter your argument most effectively? TRUE / FALSE. Sandbagging is a tactic used to develop a budget that is highly accurate and is grounded in research from marketing departments and field managers based on market conditions. Salaries of 37 college graduates who took a statistics course in college have a mean, X, of $62,900. Assuming a standard deviation, of $17,365, construct a 99% confidence interval for estimating the population mean u. You have just retired at the age of 52 and have $5,148,146 in the bank. The bank pays 3.00% interest per year. You expect to live for 28 more years. How much money can you spend per year for the next 28 years? The following ad appeared in the Daily Sun Press:For Sale: Stolen black diamond earrings, rare, beautiful, retail value: $600, Asking price is $10. First come, first served. Contact Tate at 555-5599.Kate was the first to contact Tate, and show up to buy the earrings. Kate tendered $10 to Tate, who gave her the earrings.Is there an enforceable contract between Tate and Kate? Fully explain your decision and your reasoning. Operating Segments applies to: I. private companies II. listed entities III. entities in the process of listing IV. any entity who voluntarily chooses to apply itSelect one:a. I, II and IV onlyb. I, II and III onlyc. II, III and IV onlyd. I, III and IV only price elasticity of supply is calculated the same as the price elasticity of demand, but using supply data instead of demand data.question 8 options:truefalse Suppose the 8 monthspot rate is 126, and also support a 4 year 14,5% coupon bond is worth $1,015.75 (based on semiannu coupons and $1000 face vniue). Find the one year (ruro-coupon/spot rute (express in BEY). Suppose the more spotte in and the six month forward to beginning in six months is 0.3% What is the price of a year bord paying a coupon al 5. Asume coupons are paid somiaruity and the face value of the tond is $1.000. Assume rates are pred BEY, Awwar in dolar) The trailer division of Baxter Bicycles makes bike trailers that attach to bicycles and can carry children or cargo. The trailers have a retail price of $200 each. Each trailer incurs $80 of variable manufacturing costs. The trailer division has capacity for 40,000 trailers per year and incurs fixed costs of $1,000,000 per year.Assume the assembly division of Baxter Bicycles wants to buy 15,000 trailers per year from the trailer division. If the trailer division can sell all of the trailers it manufactures to outside customers, what price should be used on transfers between Baxter Bicycless divisions? Explain.Assume the trailer division currently only sells 20,000 trailers to outside customers, and the assembly division wants to buy 15,000 trailers per year from the trailer division. What is the range of acceptable prices that could be used on transfers between Baxter Bicycless divisions? Explain.Assume transfer prices of either $80 per trailer or $140 per trailer are being considered. Comment on the preferred transfer prices from the perspectives of the trailer division manager, the assemblyTransfer price: $200.Range of transfer price: $80 to $200.Selling division will prefer a higher price, and acquiring division will prefer a lower price. There are various strategies, which are used to achieve good UX: however, the five most important are selecting right color and layout, following minimalistic approach, taking good care of first impression of the app, stressing ultimate personalization, and understanding audience before making the design strategy. In the context of gps-enabled location-based services, the ability to see another person's location is an example of ________ service. In a market of UT sweatshirts, market demand is given by the equation Q=150-2P and market supply is given the equation Q=3P, where Pis market price. Suppose Dr. Heinz Doofenshmirtz, an evil scientist, has convinced the bookstore that sells sweatshirts to impose a surchage (as a tax) on every UT sweatshirt sold so that he would use the proceeds from the surcharge towards buliding an Obliterate inator-a promising device that supposedly would obliterate all forms of cheating in UT onlines classes. The bookstore manager has decided to impose surcharge for $25 per sweatshirt sold. All proceeds froms teh surcharge go to Dr Doof to finance his inator. How much money will Dr. Doofenshmirts is going to recieve from the bookstore? if the residual value is not guaranteed by baker but is instead guaranteed by a third party, how would each company classify the lease? PERFECT-SUBSTITUTES (a) Suppose we have preferences U(X,Y)= X + Y. Graph/sketch the indifference curve through X = 10 and Y = 10. What is the utility and explain why it looks the way it does. (b) What is the Marginal Rate of Substitution for these preferences? Explain and interpret the value. (c) Suppose the consumer wanted to maximize utility subject to their budget constraint. State the consumer's maximization problem and express this in words. (d) Let U(X,Y)= X + Y. with Px = $8, Py = $3 and income M = $200. Find optimal X, Y and the resulting Utility. Draw a sketch of your solution. (e) Now suppose we offered a discount so that good X was prices at $5 for the first 10 units but rise to $8 for any quantity above that. Draw the new budget line (f) Find the optimal X, Y and the resulting Utility given the availability of the discount. Compare to the non-discounted case and discuss why it is different/the same. Identify which of the following measures would be best to use in the below situations.A. Odds ratio D. Etiologic fraction (attributable risk)B. Relative risk E. SensitivityC. Attack rate F. Specificity28. ______Determining an association between eating junk food and Type II diabetes in a cohort study29. ______Determining the contributing effect of smoking in coronary heart disease30. ______Determining how well a new test which screens for prostate cancer finds all cases of the disease31. ______Determining an association between wearing seat belts and death in motor vehicle accidents in a case-control study32. ______Determining which item may be the cause of food poisoning during a local outbreak33. ______Determining how well a new secondary prevention test determines that a person does not have the disease which patient is at greatest risk for development of torsades de pointes? Suppose the elasticity of demand for bread is 0.61. If sellers wanted to increase sales by 25%, by what percent would they have to lower price? ROUND TO THE NEAREST WHOLE PERCENTGiven the following demand and supply equations, how many units of the good would be sold at a price equal to $30?Qd = 100 - 3P Qs = -35 + 2P y courses / Financial Accounting Practice BBAC301 22T2 / Assessments 01 Week 2 Online Quiz Opening Capital = $500,000 Capital contributed during the year = $130,000 Profit during the year = $240,000 C The income statement for the year 2021 of Buffalo Co contains the following information:My courses >My booksExpenses:Revenues$71000Salaries and Wages Expense$43500Rent Expense12500My folderAdvertising Expense10400Supplies Expense58002500Utilities ExpenseInsurance Expeme1800Total expenses76500Net income (loss)$(5500)At January 1, 2021, Buffalo reported retained earnings of $50500. Dividends for the year totalled $10600. At December 31, 2021, thecompany will report retained earnings of$23400$34400$45000$39900 TRUE/FALSE. Only those costs that would disappear over time if a segmentwere eliminated should be considered traceable costs of thesegment.