If X = 12 inches, Y = 16 inches, and Z = 20 inches, what is the tangent of

Answers

Answer 1

Answer:

who do pow en odd an odd an 9 all 9 FM


Related Questions

What is the volume of the composite figure? ASAP PLEASE!!!!

Answers

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time is 42 minutes with a standard deviation of 10 minutes. We want our 90 percent confidence interval to have a margin of error of no more than plus or minus 2 minutes. What is the smallest sample size that we should consider

Answers

Answer:

The smallest sample size that we should consider is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 10 minutes.

This means that [tex]\mu = 10[/tex]

What is the smallest sample size that we should consider?

This is n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*10[/tex]

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up:

The smallest sample size that we should consider is 68.

Write and equation and solve it for the following:

Seven more that twice a number is 25. What is the number?

Answers

Answer: Equation: 2n+7=25 Number: n=9

Step-by-step explanation: Twice a number is 2 × n= 2n. 7 more is +7. Hence we get 2n+7=25. Subtract 7 from both sides then divide by 2 and we get 9!

Answer:

9

Step-by-step explanation:

Work backwards

25 - 7 = 18

18 ÷ 2 = 9

You can solve the problem normally to check.

9 × 2 = 18

18 + 7 = 25

That proves that the answer is right. Hope this helps you! Let me know how you did!

list at least 4 attributes that are shared by all of the shapes in the rectangle group

Answers

Answer:

All of the figures have 4 sides  and 4  vertices

They have opposite sides parallel and congruent.

They have four right angles.

They also have perpendicular line segments.

Step-by-step explanation:

Hope this helps!!!

question is in picture please help!

Answers

Answer:

I’m not 100% sure but I think 120°.

Step-by-step explanation:

This is because, angles on a straight line add up to 180°. Because there is 60 degrees on one side of line B, this means the other section is 120° (120°+60°=180°) The angle labelled (3x) is alternate to the angle of 120°. Alternate angles are always equal, meaning that 3x is equal to 120°.

I hope this is right.

A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym

Answers

Answer:

the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Step-by-step explanation:

The computation of the expected value and the standard deviation of the sample mean is shown below:

The mean is 70

And, the standard deviation is

= 20 ÷ √49

= 20 ÷ 7

= 2.86

Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Giving brainliest to someone who answers this :D plus points too

Answers

Answer:

13) 27 units³

14) 160 units³

15) 189 units³

Step-by-step explanation:

To find the volume of a rectangular prism, we need to multiply the length, width, and height of the figure together.

The dimensions of figure 13 are 9, 3, and 1

9 · 3 · 1 = 27

The volume of the figure is 27 units³.

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

The dimensions of figure 14 are 5, 8, and 4

5 · 8 · 4 = 160

The volume of the figure is 160 units³.

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

The dimensions of figure 15 are 3, 9, and 7

3 · 9 · 7 = 189

The volume of the figure is 189 units³.

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

I hope this helps ^^ Good luck :]

Justin earns a base salary of $1500 per month at
the jewelry shop. He also earns a 3% commission
on all sales. If Just sold $82,975 worth of jewelry
last month, how much would he make for the
month including his base salary and commission?

Answers

Answer: $1500 + 3% + $82,975= 84475.03

Step-by-step explanation:

79%
3rd
Her monthly salary is twice the sum of her husband's salary and four. Her monthly
salary is also equal to four more than four times his salary. How much does the
husband make a month? Note the husband's monthly salary is in terms of thousand
dollars.

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The two expressions for her salary can be equated:

  2h +4 = 4 +4h

  0 = 2h . . . . . . . . subtract 2h+4 from both sides

  h = 0 . . . the husband's salary is zero dollars per month

Answer:

$2000

Step-by-step explanation:

integrate by parts xInx​

Answers

Answer:

[tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Integration

Integrals[Indefinite Integrals] Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration by Parts:                                                                                              [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

[IBP] LIPET: Logs, inverses, Polynomials, Exponentials, Trig

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {x \ln x} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Set u:                                                                                                             [tex]\displaystyle u = \ln x[/tex][u] Logarithmic Differentiation:                                                                    [tex]\displaystyle du = \frac{1}{x} \ dx[/tex]Set dv:                                                                                                           [tex]\displaystyle dv = x \ dx[/tex][dv] Integration Rule [Reverse Power Rule]:                                               [tex]\displaystyle v = \frac{x^2}{2}[/tex]

Step 3: Integrate Pt. 2

[Integral] Integration by Parts:                                                                       [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \int {\frac{x}{2}} \, dx[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]:                 [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2 \ln x}{2} - \frac{1}{2} \int {x} \, dx[/tex]Factor:                                                                                                           [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \int {x} \, dx \bigg)[/tex][Integral] Integration Rule [Reverse Power Rule]:                                       [tex]\displaystyle \int {x \ln x} \, dx = \frac{1}{2} \bigg( x^2 \ln(x) - \frac{x^2}{2} \bigg) + C[/tex]Factor:                                                                                                           [tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
(The answer is 10.5, but how?) pls help

Answers

Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4

The graph represents the gallons of water (y) per minute (x) dispensed by a shower head. Which statements are correct?

Answers

The relationship has been analysed using the property of straight line.The correct options are (C), (D) and (E) respectively.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given options are examined one by one as follows,

(a) The point (0, 0) on the graph represents the zero number of gallons dispensed at the beginning.

(b) The point (5, 1) does not lie on the graph.

(c)  The point (1, 5) represents 5 gallons dispensed during 1 minute which is equivalent to the unit rate.

(d) The point (1.5, 7.5) lies on the graph which represents 7.5 gallons dispensed in 1.5 minutes.

(e) The point (0, 0) shows no gallons dispensed at t = 0.

Hence, the correct information inferred from the graph are the point (1, 5) represents the unit rate, 7.5 gallons for 1.5 minutes and the point (0, 0) represents zero minutes for zero gallons.

To know more about graph of straight line click on,

https://brainly.com/question/16934180

#SPJ1

Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88​

Answers

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

In a lottery game, three winning numbers are chosen uniformly at random from {1...100}, sampling without replacement. Lottery tickets cost $1 and allow a player to pick 3 numbers. If a player matches the three winning numbers they win the jackpot prize of $1,000. For matching exactly two numbers, they win $15. For matching exactly one number they win $3.

Required:
Find the distribution of net winnings for a random lottery ticket. Show that the expected value of the game is -70.8 cents.

Answers

Two ways to increase the statistical power of an experiment
Each increases the probability of determining a real effect of the independent variable:
Increase the sample size: Power is.

A fish aquarium is 3 ft long, 2 ft wide, and 2 ft high. What is the volume of the aquarium?

ANSWER ASAP I DONT HAVE MUCH TIME

Answers

I Believe It Is 12ft

PLEASE HELP
what is an expression equivalent to (x4y3y)2 in the form xmyn.

Answers

Answer:

x^8 y^8

did you mean (x^4 y^3 y)2 or just (x4y3y)2

Sorry did you submitted it yet?

If the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of xmyn is, x⁸y⁸.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is,

(x⁴y³y)²

Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.

We have to represent the given expression in the form of [tex]\rm x^m y^n[/tex].

We use the expression identity as,

[tex]x^m \times x^n = x^{m+n}[/tex]

[tex]\rm = (x^m)^n \\\\ = x^{mn}[/tex]

=(x⁴y³y)²

First, solve the term present in the bracket as,

=(x⁴y⁴)²

Open the bracket we get,

=(x⁴)²(y⁴)²

=x⁸y⁸

Thus, if the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of  [tex]\rm x^m y^n[/tex] is, x⁸y⁸.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive

Answers

Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Fox vvgggfffdfccvvvgttg

The following quadrilateral is a parallelogram. Solve for x, y, and z.

Answers

Answer:

X = 44Y = 31Z = 105

Step-by-step explanation:

The measurements of a quadrilateral will add up to be 360. Additionally, we know these two triangles created within the parallelogram will be congruent, so their corresponding angles will also be congruent by CPCTC.

(44 * 2) + (105 * 2) + (31 * 2) = 360

Have a nice day, fam. Spread The Love.

The following amount was assigned to each. A penguin was $9, an octopus was $36, and ant was $27. Based on this information, how much will be given to a pig?

Answers

Answer:

$14

Step-by-step explanation:

Answer:

Is there options because this question not that in depth  

Step-by-step explanation:

n exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval
The exponential grows at half the rate of the quadratic.
The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic.
The exponential grows at four times the rate of the quadratic.

Answers

https://brainly.com/question/4184462

Answer:

the answer is B)

Step-by-step explanation:

edg2021 :>

Having Problems With This Question

Answers

Answer:

f+g(2)=10

f-g(4)=-4

F/G(2)= 7/3

(f)(g)(1)=0

Step-by-step explanation:

1. (f+g)=2x+3+x^2-1 2(2)+2=10

2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4

3. f/g= 2x+3/x^2-1 4+3/3= 7/3

4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0

find sin(b) in the triangle

Answers

Answer:

We need the triangle, please

Explanation:

Can't find anything about a triangle without the triangle

Answer:

0

Step-by-step explanation:

Sin(undefined) reports 0.

If the value is not undefined, please provide the triangle.

Which postulate or theorem proves △SQY∼△PTY?

A. SAS Similarity Theorem
B. SSS Similarity Theorem
C. AA Similarity Postulate

Answers

Check the picture below.

[tex]\stackrel{ \textit{\LARGE S} }{\cfrac{8}{4}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{12}{6}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{4}{2}}\implies \text{\LARGE 2}\qquad \textit{similar triangles by SSS}[/tex]

The length of the arc which subtends an angle 60° at
the centre of a circle of radius 3 cm is approximately​

Answers

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

can someone please help me ?? i’ll give brainliest

Answers

Answer:

ABE bc its the same degree angle

Step-by-step explanation:

Answer:

C) angle BEF

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH

A lie detector is known to be 4/5 reliable when the person is guilty and 9/10 reliable when the person is innocent. If a suspect is chosen from a group of suspects of which only 1/100 have ever committed a crime, and the test indicates that the person is guilty, what is the probability that he is guilty?

Answers

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

[tex]P(A) = 0.8*0.01 + 0.1*0.99 = 0.107[/tex]

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

[tex]P(A \cap B) = 0.01*0.8 = 0.008[/tex]

What is the probability that he is guilty?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748[/tex]

0.0748 = 7.48% probability that he is guilty

The required value is [tex]\simeq0.925 \ or \ 92.5[/tex]%.

Probability:

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]T_G[/tex] and [tex]T_I[/tex] denote the test result being guilty or innocent respectively.

And, [tex]G[/tex] and [tex]I[/tex] denote that the person is guilty or innocent respectively.

Given that: [tex]P\left ( T_G\mid I \right )=\frac{4}{5}[/tex]

[tex]P\left ( T_I\mid I \right )=\frac{9}{10}\Rightarrow P\left ( T_G\mid I \right )=1-\frac{9}{10}=\frac{1}{10}[/tex]

[tex]P(G)=\frac{1}{100} \\ \therefore P(I)=1-P(G) \\ =1-\frac{1}{100} \\ =\frac{99}{100}[/tex]

Now, the required probability is,

[tex]P(I\mid T_G)=\frac{P\left ( T_G\mid I \right )\times P(I)}{P(T_G\mid I)\times P(I)+P\left ( T_G\mid G \right )\times P(G)}[/tex]

              [tex]=\frac{\frac{1}{10}\times\frac{99}{100}}{\left ( \frac{1}{10}\times \frac{99}{100}\right )+\left ( \frac{4}{5}\times\frac{1}{100} \right )} \\ =\frac{0.099}{0.099+0.008} \\ =\frac{0.099}{0.107} \\ =0.92523 \\ \simeq 0.925 \\ or \ 92.5%[/tex]

Learn more about the topic of Probability:  brainly.com/question/26959834

Which is the greater decimal?

.721 or .72

Answers

Answer:

.721 is bigger because Il earned that the decimal that has a larger number as there last number is the greatest decimal.

Step-by-step explanation:

Please help me please

Answers

Answer:

486 square inches

Step-by-step explanation:

Cody has $1400 in a savings account that earns 4 % annually. How much will he have total after 3 years?

Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.

Answers

$1400 - Savings
4% Per Year
3 Years
4% x 3 = 12% Total
1400 x 12% = $168
$1568 Total

Answer:

$1,574.81

Steps:

total after 1 year = (1400/100 × 4) + 1400 = (14 × 4) + 1400 = 56 + 1400 = $1456total after 2 years = (1456/100 × 4) + 1456 = (14.56 × 4) + 1456 = 58.24 + 1456 = $1,514.24total after 3 years = (1,514.24/100 × 4) + 1,514.24 = (15.14 × 4) + 1,514.24 = 60.57 + 1,514.24 = $1,574.81

The difference between the squares of two numbers is 35. Twice the square of
the first number increased by the square of the second number is 73. Find the
numbers.

Answers

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )

Other Questions
In year 1 a company incurred the following indirect costs: $35,000 Heat and lighting Rent and rates $45,000 These costs are apportioned to Department A and Department B on the basis of floor area occupied. A occupies 10,000 square meters and B occupies 5,000 square meters. In year 2 the indirect costs will rise by 20% and the size of the building will be increased by one third. Department C will occupy the new area. In year 2 how much of the indirect costs will apportioned to Department B? what parts of roosevelts speech did you find to be strongest? what parts did you find to be weakest? discuss roosevelts reasoning and his rhetoric. Given that V1 and v2 L-' are eigenvectors of the matrix determine the corresponding eigenvalues ~Sx Find the solution to the linear system of differential equations satisfying the Initial conditions x(0) = 2 and M(0) = -5. 8x + 3y x(t) y(t) = Penelope is looking for a new car. She wants to test for a relationship between mileage and price of cars. The standard deviation of mileage is 27,853. The standard deviation of price is $3,651.00. The correlation coefficient is - 748. If we are predicting price from mileage, compute the regression coefficient. which of the following about media ownership is correct? multiple choice an increased number of media corporations control major media outlets. fewer media corporations control major media outlets today than before. there has been no change in the number of media corporations owning media outlets. there is no restriction on the share of the market reached by one media corporation. Explain the advantages and disadvantages term voluntarycompliance and discuss about the term voluntary compliance.(20marks)Please give a detailed answer. Word limits 1500 Suppose that X, X2, ..., Xn form a random sample from an exponential distribution with an unknown parameter 3. (a) Find the M.L.E. of 3. B (b) Let m be the median of the exponential distribution, that is, P(X m) = P(X m) = 2 Find the M.L.E. m of m. Find (a) the curl and (b) the divergence of the vector field.F(x,y,z) = xyz i - x^2yk find the sum of the vectors and . then find the magnitude and direction of the resultant vector. round angles to the nearest degree and other values to the nearest tenth. 1. Explain what Miranda Rights are and whether they provide a "free pass" for a criminal defendant.2. What do you think your response would be to hearing about a case where a defendant committed a crime and confessed to it in detail but then goes free solely because he/she was not read their Miranda Rights? Aztech Hospitals plans to establish a nationwide network of blood banks. At each of the blood bank, it accepts blood donations from donors and offers blood to needy patients for their requirement. The hospital management has decided to implement a web portal that is also accessible over the mobile phone that allows patients to get updated information about the availability of blood at various blood banks within close vicinity. The portal also maintains a list of donors who can be contacted in case of an emergency. As a MIS consultant identify atleast 5 functional requirements and their feasibility in the solution. Identify the hardware and software requirements for implementing the same Question 1 After solving with Solver, what is the optimal profit? a. 3242.32 b. 2248.33 c. 2482.23 d. 4423.88 Question 2 Which constraint represents the availability of lathe machines correctly? a. 4 x1 + 2 x3 < 465 b. 4 x1 + 2 x2 > 465 c. 4 x1 + 2 x2 6 Question 3 After solving with Excel, what is the optimal solution? a. x1 = 4, x2 = 2, x3 = 3 b. x1 = 700, x2 = 465, x3 = 305 c. x1 = 113.33, x2 = 5.83, x3 = 78.33 d. x1 = 0, x2 = 0, x3 = 0 Question 4 Which of the following functions represents the objective function? a. Minimize 700 x1 + 465 x2 + 305 x3 b. Maximize 700 x1 + 465 x2 + 305 x3 c. Maximize 14 x1 + 6 x2 + 8 x3 d. Minimize 14 x1 + 6 x2 + 8 x3 the skills and behaviors that you need to succeed at work are different from those you need to succeed in your personal life. please select the best answer from the choices provideda.trueb.false The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each defective component has probability 0.60 of being repairable. A trade secret can become part of an employee's technical knowledge.a. trueb. false An auditor has gained a detailed understanding of the client's system of internal controls and has conducted extensive tests of those controls. Control risk is assessed as low. What type of audit approach should be used?a.a modified audit strategyb.a combined audit strategyc.a test of details audit strategyd.a substantive audit strategy 7. Ed Pines Finance Inc. offers a "6% plan". The cost of a one-year loan is 6%, and this cost is added to the loan. This total is then divided by 12 to get the monthly payments. Calculate the nominal and effective interest rates being charged for a loan of $6,000. 8. At an interest rate of 9%, determine the future worth at the end of 5 years if five successive end-of-the year deposits are made at $100, $200, $300, $400, and $600, respectively. 9. You have just graduated with the highest honors. Now that you are working for a living, you have decided to open a savings account. The account is expected to pay a 10% nominal annual interest rate, compounded quarterly, and you wish to save $250,000 at the end of 20 years. Calculate the payments to be made if they are to be equal and paid at (a) the end of each quarter (b) the end of each month (c) the end of each year (d) the beginning of each year 10. How much invested now at 8% would be just enough to provide for four lump sum payments of $6,000 at 5, 10, 15, and 20 years? Solve this problem two different ways: Method # 1: Use only single amount equivalence factors. Method # 2: Use only uniform series equivalence factors. ________ is a technique that begins by identifying a single or small number of subjects and asks them to identify others who may be willing to participate Which characteristics caused ddt to have such a devastating impact on birds of prey like eagles? 2-41 Analysis of Airline ResultsActual operating statistics for the three months ended June 30 in a Continental Airlinesquarterly report tollow:Revenue passengers carriedRevenue-passenger-miles(000s)Scheduled aircraft miles flownAvailable seat-miles (000s)Passenger load factorYield per revenue-passenger-mileCurrentYear946,603549,1799,472,766971,02856.6%PrecedingYear1,044,697577.0718,595,308839,720$ A revenue-passenger-mile is 1 passenger carried 1 mile. For example, 2 passengers carried 800miles would be 1,600 revenue-passenger-miles..0884* Total revenue divided by revenue-passenger-miles.The president of Continental commented:"In the second quarter, airline revenues were nearly $64 million, a 25.6% increasecompared with the preceding year. Revenue-passenger-miles, however, declined 5%,primarily as a result of weakened economic conditions. Meanwhile, the yield perpassenger-mile increased 32% as a result of several fare increases made to counterspiraling costs1. a. Compute the total passenger revenue in the second quarter of the preceding year.b. Also compute the passenger load factor.2. Compute the yield per revenue-passenger-mile in the current year.3. Assume that variable costs during the current quarter were 5 per revenue-passenger-mile. Also assume that the yield per revenue-passenger-mile was unaf-fected by the increase in the load factor. Suppose the passenger load factor had increased from 56.6% to 57.6%; compute the increase in operating income that would have been attained.