Question
What is the height of a triangle with an area of 893 square inches and a base of 38 inches?

Answers

Answer 1

Answer:

the height of the triangle is 47 inches


Related Questions

Which of the following shows the graph of y= 2e^x?

Answers

The graph of the given function, y = 2eˣ, is given below

Graph of a function

From the question, we are to determine the graph of the given function

The given function is

y = 2eˣ

The graph of y = 2eˣ is shown below

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General admission tickets to a play cost $18 each. Reserved seats cost $22 each. There were 20 reserved seats sold. There were 28 more general admission tickets sold than reserved seats. How much money was paid for all of the tickets put together? Complete the chart and answer the question:​

Answers

Answer:

$22 * (20) + $18 * (48) = $1304

Step-by-step explanation:

There are 20 reserved seats so it would be: $22 * 20 = $440 for all reserved seats

There are 28 general admission tickets more than reserved seats ticket so number of general admission tickets is: 20 + 28 = 48 (tickets)

Each general admission tickets cost $18, so: $18 * 48 = $864  for all general admission tickets

So the total money was paid for all of the tickets is: $440 + $864 = $1304

Pre Calc work, I need help with writing piece wise functions from graphs. Can anyone help? Giving brainliest

Answers

The definition of the piece-wise function is:

[tex]f(x) = 2.5x + 1, -2 \leq x \leq 2[/tex][tex]f(x) = -3, 2 < x < 6[/tex].

What is a piece-wise function?

A piece-wise function is a function that has different definitions, depending on the input.

In this problem, for inputs between -2 and 2, the function is a line that goes through (-2,-4) and (2,6). The slope is:

m = (6 - (-4))/(2 - (-2)) = 2.5.

The y-intercept is of b = 1, hence the rule is:

[tex]f(x) = 2.5x + 1, -2 \leq x \leq 2[/tex]

For x greater than 2 and less than 6, the function is constant at -3, hence the rule is:

[tex]f(x) = -3, 2 < x < 6[/tex].

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a display at an aquarium has sea stars to wolf eels in a ratio 4 : 5. It also has 5/8 as many rockfish as sea stars. there are 40 more wolf eels than rock fish. How many sea stars are there?

Answers

The number of sea stars is 64.

What is a ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.

In general, a: b, which can be interpreted as "a is to b," is used to denote a ratio between two quantities, let's say "a" and "b."

This ratio is expressed in fraction form as a/b. We utilize the same method for further simplifying a ratio as we use for further simplifying a fraction.

According to the question,

Ratio of sea stars to wolf eels = 4:5

Number of rock fish= 5/8 (Number of sea stars)

Number of wolf eels - Number of rock fish = 40

Using the given information, we get,

Number of sea stars = 8/5 (Number of rock fish)

On simplification,

Number of wolf eels = 80

So, number of sea stars = (4/5)*80

                                          = 64

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p% of m change into an algebraic expression.

Answers

The expression p% of m changed into an algebraic expression is pm/100

Percentage

p% of m

= p% × m

= p/100 × m

= (p × m) / 100

= pm/100

Therefore, the expression p% of m changed into an algebraic expression is pm/100

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6. Evaluate x³ = -8 *

Answers

-2
-2 x -2 x -2 = -8

Examine the Scatterplot and Identify Characteristics of the data that are ignored by the regression line.

x 10 8 13 9 11 14 6 4 12 7 5
y 7.46 6.77 12.74 7.11 7.81 8.84 6.08 5.39 8.5 6.42 5.73

Answers

The regression equation is y =  3.002 + 0.5x and the scatterplot is illustrated.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data that shows the relationship between two numerical variables.

From the information, summation is X is 99, summation Y is 82.5, summation XY is 797.47, and summation X² is 1001.

Now the value of a will be:

= 82.5 - 1001 - 99 - 797.47/(11.1001 - 99²)

= 3.002

b = (11 × 797.47 - 99 × 82.5)/11.1001 - 99²

= 0.5

The regression equation will be:

y = a + bx.

y = 3.002 + 0.5x

There's positive linear correlation between x and y.

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Which of the following are identities?

Answers

Answer:

A

Step-by-step explanation:

I. False. Consider y = 3 and x = 4.

II. False. Consider x = 1.

III. False. Consider x = -2.

2. Michelle asks her husband to build a pen for her chickens. Three of the sides will be built with mesh fencing, while the fourth side will back up to the east side of her house. She wants the enclosed area to be 400 square feet. The cost of the fence meshing will be $4.18 per foot and the pen will also need 4 corner posts costing $9.50 each.

a. [6 pts] Let x be the length of the side of the chicken coop that backs up to the east side of the house. Write a function P(x), for the price of the materials for the pen in terms of x. Simplify your answer.

b. [3 pts] Use your calculator to find the dimensions of the pen that costs the least. Set your window with: 0≤x≤80 and 10≤ y ≤400, and round your answer to 2 decimal places. (Insert your graph here. You may hand draw the graph or insert an image of the graph from Desmos)

c. [1 pt] What is the total cost of the pen? Round to dollars and cents.

Answers

The function P(x), for the price of the materials for the pen, is 4.18(800/x + x) + 38.

How to illustrate the function?

Based on the information, the function P(x), for the price of the materials for the pen will be:

P(x) = 4.18 (2 × 400/x + x) + 38

= 4.18(800/x + x) + 38.

The dimensions will be:

We'll differentiate the function which will give 20✓2. Therefore, the value for x will be 20✓2 which is 28.28 feet and that of y will be 10✓2 which is 14.14 feet.

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Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 576 randomly selected adults showed that 59​% of them would erase all of their personal information online if they could. Complete parts​ (a) and​ (b) below.
a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
b. identify the null and alternate hypothesis

Answers

A) The original claim in symbolic form is; p > 0.50

B) The Null Hypothesis is;

H₀: p = 0.50

Alternative Hypothesis is;

H_a: p > 0.50

How to identify the hypothesis claim?

We are given;

Sample size; n = 576

Sample Proportion; p^ = 59% = 0.59

A) The percentage of 59% represents the proportion of a sample and thus we are making a claim about the population proportion p in the hypotheses.

We claim "most of the adults", which indicates more than 50% or 0.50. Thus, the claim in symbolic form is; p > 0.50

B) The Null Hypothesis is;

H₀: p = 0.50

Alternative Hypothesis is;

H_a: p > 0.50

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HELP i need the answer 20 POINTS

Answers

Answer:

  y = -1/4(x +4)² +4

Step-by-step explanation:

The equation of a parabola with focus (a, b) and directrix y=d can be written using the form ...

  y = 1/(2(b-d))(x -a)² +(b+d)/2

Application

We are given (a, b) = (-4, 3) and d=5. Using these values in the above form gives the equation ...

  y = 1/(2(3-5))(x -(-4))² +(3+5)/2

  y = -1/4(x +4)² +4

b. What is another composition of rigid motions that maps A GHJ to A KLM?

Answers

Another rigid motions that maps Δ GHJ to ΔKLM is ΔGHJ winding point J rotates 180° in the counterclockwise direction. It then transits south by 10 units and to the right by two units. See the attached image.

What is Rigid Motion?

Rigid Motion is any method of moving all the points in the plane in such a way that.

the relative distance between sites remains constant andthe relative location of the points remains constant.

There are four forms of rigid motions:

translationrotationreflection, and glide reflection.

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Solve for xxx in the diagram below.
x=x=x, equals
^\circ
∘please help

Answers

Answer:

x = 34

Step-by-step explanation:

The angles x + 12, 100, and x add up to a straight angle, so the sum of their measures is 180°.

(x + 12) + (100) + (x) = 180

x + 12 + 100 + x = 180

2x + 112 = 180

2x = 68

x = 34

If np>5 and nq>5, estimate P (at least 10) with n=13 and p=0.5 by using the normal distribution as approximation for the binomial distribution, if np, or nq,5, then state that the normal approximation is not suitable.

Answers

Using the normal distribution, the probability is given as follows:

[tex]P(X \geq 10) = 0.0485[/tex].

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

The parameters for the binomial distribution are:

p = 0.5, n = 13.

Hence the mean and the standard deviation are:

[tex]\mu = np = 13 \times 0.5 = 6.5[/tex].[tex]\sigma = \sqrt{np(1-p)} = \sqrt{13 \times 0.5 \times 0.5} = 1.8028[/tex]

Using continuity correction, the desired probability is P(X > 9.5), which is one subtracted by the p-value of Z when X = 9.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{9.5 - 6.5}{1.8028}[/tex]

Z = 1.66

Z = 1.66 has a p-value of 0.9515.

1 - 0.9515 = 0.0485, then:

[tex]P(X \geq 10) = 0.0485[/tex].

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Approximately how many years will it take for the world’s population to increase to 8,252,000,000 people? Since there will be the original 100% plus an additional 2% each year, the base in the exponential equation is 1.02. Use the equation 8252=(6080)(1.02)x, where x is the number of years. Round to the nearest year.

Answers

The number of years it will take for the world’s population to increase to 8,252,000,000 people is 16

How to determine the number of years?

This implies that we calculate the value of x

The equation is given as:

8252=(6080)(1.02)^x

Divide both sides by 6080

1.36 = (1.02)^x

Take the logarithm of both sides

log(1.36) = x * log(1.02)

Divide both sides log(1.02)

x = log(1.36)/log(1.02)

Evaluate the quotient

x = 16

Hence, the number of years is 16

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Here are two steps from the derivation of the quadratic formula (image w question below)

Answers

Answer:

  B.  Completing the square

Step-by-step explanation:

Between the first and second steps shown, the square of half the x-term coefficient was added to both sides. That is a value that makes the polynomial on the left be a "perfect square trinomial."

The process of adding the value required to make the left side a perfect square is called "completing the square."

Assuming a​ 1-year, money market account investment at 2.55 percent​ (APY), a ​1.11 % inflation​ rate, a 28 percent marginal tax​ bracket, and a constant ​$60000 ​balance, calculate the​ after-tax rate of​ return, the real​ return, and the total monetary return. What are the implications of this result for cash management​ decisions?
Question content area bottom
Part 1
Assuming a​ 1-year, money market account investment at 2.55 percent​ (APY), a 28 percent marginal tax​ bracket, and a constant ​$ 60000 balance the​ after-tax rate of return is

enter your response here​%. ​(Round to two decimal​ places.)

Answers

The after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes

Given that money market account investment at 2.55 percent​ (APY), a ​1.11 % inflation​ rate, a 28 percent marginal tax​ bracket, and a constant ​$60000 ​balance.

Cash management is the backbone of any business. Cash management ensures that the company operates according to established standards and optimizes the use of funds to avoid wasting resources. Liquidity management decisions are therefore key to preserving a company's capital and profitability.

Firstly, we will find the after-tax return rate, we get

After-tax return rate= Before tax rate of return \times ( 1 - tax rate)

After-tax rate of return = 0.0255× ( 1 - 0.28)

After-tax rate of return = 0.0255×0.72

After-tax rate of return=1.84%

Now, we will find the real return, we get

Real  return=((1+After-tax Return)/(1+inflation rate))-1

Real return=((1+0.0184)/(1+0.0111))-1

Real return=(1.0184/1.0111)-1

Real return=1.00721-1

Real return=0.721%

Furthermore, we will find the total monetary return, we get

Total monetary rate=Balance×Before tax rate of return

Total monetary rate=60000×2.55%

Total monetary rate=$1530.

The implications of this result for cash management​ decisions is that it becomes very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.

Hence, the after-tax rate of return is 1.84%, the real return is 0.721%, the total monetary return is $1530 and the implications become very challenging to grow with such a return as the taxes and inflation is draining the returns and leaving only with negative returns.

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write the equivalent of the fraction using a denominator of 52. 2/13

Answers

Answer: 8/52

2/13=x/52

(2×52)/13=x

104/13=x

8=x

x=8

8 is the equivalent of the fraction using a denominator of 52. 2/13

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. For example, 9/12 and 6/8 are equivalent fractions because both are equal to 3/4 when simplified.

All equivalent fractions get reduced to the same fraction in their simplest form as seen in the example given above. Explore the given lesson to get a better idea of how to find equivalent fractions and how to check if the given fractions are equivalent.

        ⇒[tex]\frac{2}{13} =\frac{x}{52}[/tex]

       ⇒[tex]\frac{2(52)}{13} = x[/tex]

      ⇒[tex]x = 8[/tex]

therefore, 8 is the equivalent of the fraction using a denominator of 52. 2/13

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Jada is solving the equation shown below.

Negative one-half (x + 4) = 6

Which is a possible first step to begin to simplify the equation? Select two options.
Divide both sides of the equation by –2.
Subtract 4 from both sides of the equation.
Multiply both sides of the equation by –2.
Distribute –2 over (x + 4).
Distribute Negative one-half over (x + 4).

Answers

Answer:

Distribute -1/2 over (x+4)

Step-by-step explanation:

-0.5(x+4) = 6

-0.5x - 2 = 6

-0.5x = 8

x = -16

Answer:

Multiple both sides by -2 or Distribute negative one-half over (x+4)

Step-by-step explanation:

-1/2(x+4) = 6

If I multiple both sides by -2, I am clearing the fraction:

(-2)(-1/2)(x+4) = 6(-2)

x+4 = -12

x = -16

OR

-1/2(x + 4) = 6

-1/2x -2 = 6  Remember, a negative times a positive is a negative.

-x - 4 = 12 multiply both sides by 2

-x = 16

x = -16

Which of the following is not a step in finding the area of an unknown figure?
- Calculate the areas of the smaller figures.
- Plug all dimensions into the formula: SA=Ixwxh.
- Divide the figure into smaller, known figures.
- Add up the areas of the smaller figures.

Answers

The answer choice which is not a step in finding the area of the unknown figure is; Plug all dimensions into the formula: SA=Ixwxh. option B

Which is not a step in finding the area of an unknown figure?

It follows from the task content that all other steps except Plugging all dimensions into the formula; SA = l×w×h are correct steps.

This is due to the fact that, the formula does not work for all shapes and hence, it can't be generalized for all situations.

The step which is not involved in finding the area of an unknown figure is; Plug all dimensions into the formula: SA=Ixwxh.

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Answer:

B) Plug all dimensions into the formula: SA=Ixwxh.

Step-by-step explanation:

Simplify the following expression.x-[tex]\frac{2}{3}[/tex] x[tex]\frac{6}{7}[/tex]

Answers

Keeping the bases and adding the exponents, the simplified expression is:

[tex]x^{\frac{4}{21}}[/tex]

How to solve a product of two terms with the same base and different exponents?

We keep the bases and add the exponents.

Hence:

[tex]x^{-\frac{2}{3}} \times x^{\frac{6}{7}} = x^{-\frac{2}{3} + \frac{6}{7}} = x^{\frac{-14 + 18}{21}} = x^{\frac{4}{21}}[/tex]

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find m+n

pls help !!!

Answers

Answer:

m + n = 140

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

Given

Two parallel lines,Included triangle between the parallel lines,Two interior angles of the triangle are m and n,Another angle of 40°.

To find

The sum of angles m and n

Solution

As per given, the missing interior angle is corresponding with 40° angle.

Since corresponding angles are equal, the third interior angle of the triangle is 40°.

Sum of three interior angles is 180°:

m + n + 40 = 180m + n = 180 - 40m + n = 140

Apply angle sum property

m+n+40=180m+n=180-40m+n=140

The answer is 140

Which represents the reflection of f(x)=√x over the y-axis?

Answers

We are looking for the graph of [tex]y=\sqrt{-x}[/tex]. which is shown in the attached image.

Solve log (3x + 4) = log (x – 2) + 3 log 2

Answers

Answer:

x + 4

Step-by-step explanation:

Sine the bases are all the same, I can write the equation:

3x+4 = (x-2) 2^3  When we are adding with logs, that means to multiple.  Also, when we have 3 log 2, that can be written as 2^3 or 8 (2x2x2)

3x+4=(x-2)8

3x+4 = 8x-16

4=5x-16

20 = 5x

4=x

I need help with question in photo

Answers

Answer:

14

Step-by-step explanation:

[tex] {x}^{2} = {4}^{2} \\ = 16\\ 4y = 4 \times - 3 \\ 4 \times - 3 = - 12 \\ 16 - - 12 =16 + 12 \\ - \times - = + \\ 16 + 12 = 28 \\ 28 \div 2 = 14[/tex]

Find the solution of
a(-12 + a) = 0

Answers

Answer:

a=0, 12

Step-by-step explanation:

a=0 and –12+a=0===> a=12

Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?

{2.5, 3, 4.5}
{1, 2.5}
{3, 4.5, 5}
{4.5, 5}

Answers

c. {3, 4.5, 5}

3(3) + 4 ≥ 13
9 + 4 ≥ 13
13 ≥ 13
true

3(4.5) + 4 ≥ 13
13.5 + 4 ≥ 13
17.5 ≥ 13
true
3(5) + 4 ≥ 13
19 ≥ 13
true

Differentiate between different types of plane with example

Answers

Answer:

The three planes of motion are the sagittal, coronal (or frontal) and transverse planes.

Sagittal Plane: Cuts the body into left and right halves. Forward and backward movements.

Coronal (or Frontal Plane): Cuts the body into front and back halves. ...

Transverse Plane: Cuts the body into top and bottom halves.

Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 10 hours against a river current of 3 km/ hr. On the way back, the same distance took him 5 hours with the same 3 km/hr current.

Answers

The paddling rate of Alvin is 9km/hr

Given time against the  river current is 10 hours , speed is 3km/hr

and time with the river current given is 5 hours and the speed is 3km/hr

We need to calculate the paddling rate of Alvin

Let us assume that

r =Alvin's average paddling rate in km/hour

y = speed of the current in km/hour

we know that

speed= distance/time

distance=speed*time

Now,

To Campsite against the current

Speed=(r-y)

Speed=(r-3) ---- (1)

Time=8 hours

Distance=(r-3)*10------ (2)

10r - 30

From Campsite with the current

Speed=(r+y)

Speed=(r+3)*5

Time=3 hours

Distance=(r+3)*5----(1)

Equate equation 1 and equation 2

5r +15

because is the same distance

5r + 15 = 10r - 30

5r = 45

r = 9

Hence ,The rate of the paddling rate is 9km/hr

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help with this question please !

Answers

Answer:

angle 8 is congruent to angles 3, 6, and 1

Step-by-step explanation:

If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.

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an employee with an associate's degree will average ________ more cars sales per month than an employee with a high school degree. A student mixed 0.60 g of ferrocene (molar mass = 186.04 g/mol) with 2.0 mL of acetic anhydride (molar mass = 102.09 g/mol, p = 1.082 g/mL) and a catalytic amount of phosphoric acid that produced 0.45 g of acetyl ferrocene (molar mass = 228.07 g/mol). After introducing 0.12 g of crude product mixture into a chromatography column, the student isolated 0.078 g of purified acetyl ferrocene. What is the percent recovery of acetyl ferrocene? when an employer finds out a potential employee has a criminal record and decides not to interview them, that potential employer has a: Which of the following statements is best supported by the data?(A) Black bears are a keystone species(B) Salmon are a keystone species.(C) Black bear urine is a significant source of nitrogen in the environment.(D) The presence of black bears and salmon correlates with a significant increase in nitrogen influx. The filament of a 100 W (120 V) light bulb is a tungsten wire 0.035 mm in diameter. At the filament's operating temperature, the resistivity is 5.0107m.How long is the filament? L=? m Consider the polynomials P1(t) = 2 + t + 3t2 + t3, P2(t) = 3+4+72 + 3t3, P3(t) = 1-3t+8t2 + 5t3, P4(t) = 5t + 5t2 + 3t3, Ps(t)--1+21+t2 + t3, which are all elements of the vector space Ps. We shall investigate the subspace W Span(pi(t), P2(t), Ps(t), pa(t), Ps(t) (a) Let v.-IA(t)le, the coordinate vector of P (t) relative to the basis -(Lt. fr Ps Enter (b) Let A be the matrix [vi v2 vs v4 vs]. Observe that Span(vi, v2, vs, v4, vs) -Col(A). Use these coordinate vectors into MATLAB as vi, v2, v3, v4, v5. this fact to compute a basis for Span[vi, V2, vs, V4, vs]. (Recall you can enter A into MATLAB as A-[vl v2 v3 v4 v5].) (c)Translate your previous answer into a basis for W (consisting of polynomials). What is dim W? (d) Is W- P3? Justify your answer An ion of mass m and electric charge e is moving in a dilute gas of molecules with which it collides. The mean time between collisions suffered by the ion is t. Suppose that a uniform electric field E is applied in the x-direction. a. What is the mean distance x (in the direction of E) which the ion travels between collisions if it starts out with zero x component of velocity after each collision? b. In what fraction of cases does an ion travel a distance x less than x? seeing others like yourself experience success is referred to as a vicarious experienceT/F Hanson Company is constructing a building. Construction began on February 1 and was completed on December 31. Expenditures were $1,800,000 on March 1, $1,200,000 on June 1, and $3,000,000 on December 31.Hanson Company borrowed $1,000,000 on March 1 on a 5-year, 12% note to help finance construction of the building. In addition, the company had outstanding all year a 10%, 5-year, $2,000,000 note payable and an 11%, 4-year, $3,500,000 note payable. Compute avoidable interest for Hanson Company. Use the weighted-average interest rate for interest capitalization purposes. (Round percentages to 2 decimal places, e.g. 2.50% and final answer to 0 decimal places, e.g. 5,275.) Help Please, I don't understand this identify an innovation that you believe impacted you in some way and describe whether or not that innovation's impact was positive or negative? anton weber and alban berg were taught the twelve tone style by their teacher ____________________________. Sarah Palin reportedly was paid a $11 million advance to write her book Going Rogue. The book took one year to write. In the time she spent writing, Palin could have been paid to give speeches and appear on TV news as a political commentator. Given her popularity, assume that she could have earned $8 million over the year (paid at the end of the year) she spent writing the book.Assuming that Palin's cost of capital is 10%, then the NPV of her book deal is closest to:Select one:A. $3.00 millionB. $3.75 millionC. $2.00 millionD. $2.20 million Find the points (x,y) at which the polar curve r = 8 cos, /6 /3 has a vertical and horizontal tangent line.Vertical Tangent Line: ??Horizontal Tangent Line: ?? If Income = 100, Px=4 and Py=2, what is the slope of the budget constraint? It could be helpful to draw the budget constraint first. A. -0.5 B. -1 C. -2 D. -4 Which of the following statements is true based on the map? A mass spectrum has signals at the following m/z values: 86, 71, 57, 43, 29 The compound is most likely a: bromoalkane b. chloroalkane c. thiol d. saturated hydrocarbon Can someone help me? Find the sum of the first 24 terms of the arithmetic series if the first term is 3 and the common difference is 3. what factors can affect the behavior of organisms that do not have a nervous system? select the mechanism of which this is reminiscent, a proton is grabbed, while a pi bond is slammed down while a leaving group is booted out? a) SN^1. b) SN^2. c) E1. d) E2.