Ben's quiz grades on the first four quizzes were 62, 77, 73, and 81. What scores on the test qutz will allow him to finish with En average of at least 757 Hide answer choices x 283 B x>82 C x <82 0 x 82

Answers

Answer 1

We do know that he needs to average at least 82 on all of his test quizzes combined in order to achieve an average of at least 75 overall. The correct answer is B) x > 82.

To find out what scores Ben needs to achieve an average of at least 75 on all of his quizzes and tests, we can use the following formula:

(total score on all quizzes and tests) / (number of quizzes and tests) >= 75

We know that Ben has taken four quizzes so far, with scores of 62, 77, 73, and 81. That means his total score on those quizzes is:

62 + 77 + 73 + 81 = 293

To get an average of at least 75, Ben will need a total score of:

75 * 5 = 375

This includes his previous total score of 293, so he needs to score a total of:

375 - 293 = 82

on his test quizzes. Since we don't know how many test quizzes there are or how much each one is worth, we can't determine exactly what score Ben needs on each quiz. However, we do know that he needs to average at least 82 on all of his test quizzes combined in order to achieve an average of at least 75 overall. Therefore, the correct answer is B) x > 82.

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Related Questions

The work that Ryan did to find the greatest common factor of 48 and 72 is shown below.

Prime factorization of 48: 2 x 2 x 2 x 2 x 3
Prime factorization of 72: 2 x 2 x 2 x 3 x 3

The greatest common factor is 2 ´ 2 ´ 2 ´ 3 x 3

What is Ryan’s error?

Answers

Answer:

there will only be one 3

Step-by-step explanation:

see cause the first 3 of both numbers are 2 but only the last one of both numbers are 3 .

The sum of two numbers is 23. Their difference is 1. whats the smaller number

Answers

it is 12 and 11 i don’t know how that’s not obvious but ok go off

Find the value of x that makes m || n

Find the value of x that makes m || n

Answers

Answer:

Step-by-step explanation:

The value of x and 2x must add to 180 to make the lines parallel

x + 2x = 180    Combine

3x  = 180         Divide by 3

3x/3 = 180/3

x = 60

Which numbers have line symmetry?
2, 3, 4 7,8,9​

Answers

The answer is 3 and 8

2ײy³+ 15z⁴= z²+ 69x²

solve by factoring

Answers

Answer:

x= iz ( 15z²-1) ^1/2 ÷ 2y³ -69 ^1/2

hope this helped

Answer:

combine like terms

Step-by-step explanation:

u wont geta  proper answer but u will get a equation that i smaller

Given the discrete uniform population: 1 fix} = E El. elseweltere .x=2.4ifi. Find the probability that a random sample of size 511, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.11. Assume the means are measured to the any level of accuracy. {3 Points}.

Answers

The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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The value of a home is $899,000 and increasing in value at a rate of 1% per year. Use an exponential growth function to find the approximate value of the home in 12 years.

Answers

Answer:

$1012993.2

Step-by-step explanation:

Given data

Cost of home V= $899,000

Rate of increase= 1%

Time= 12 years

The exponential growth function is expressed as

A=V(1+r)^t

A=899000(1+0.01)^12

A= 899000(1.01)^12

A= 899000*1.1268

A=$1012993.2

Hence the cost of the home will be $1012993.2

Consider the curve in R2 defined by the parametric equations x=t^2,y=−1/4t t>0. (a) Determine the points on the curve, if there are any, at which the tangent line is parallel to the line y=x. (Hint: Vectors parallel to y=x are ones whose components are equal.) (b) Determine the points on the curve at which it intersects the hyperbola xy=1.

Answers

(a) The curve defined by the parametric equations x = t^2, y = -1/4t (t > 0) represents a parabolic trajectory, the point of intersection between the curve and the hyperbola is (4∛2, -1/(4∛2)).

To find the points on the curve where the tangent line is parallel to the line y = x, we need to determine when the slope of the tangent line is equal to 1.

The slope of the tangent line is given by dy/dx. Using the chain rule, we can calculate dy/dt and dx/dt as follows:

dy/dt = d/dt(-1/4t) = -1/4

dx/dt = d/dt(\(t^2\)) = 2t

To find when the slope is equal to 1, we equate dy/dt and dx/dt:

-1/4 = 2t

t = -1/8

However, since t > 0 in this case, there are no points on the curve where the tangent line is parallel to y = x.

(b) To determine the points on the curve where it intersects the hyperbola xy = 1, we can substitute the parametric equations into the equation of the hyperbola:

\((t^2)(-1/4t) = 1 \\-1/4t^3 = 1\\t^3 = -4\\\)

Taking the cube root of both sides, we find that t = -∛4. Substituting this value back into the parametric equations, we get:

x = (-∛4)^2 = 4∛2

y = -1/(4∛2)

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Choose the slope and y-intercept that
correspond with the graph.

Choose the slope and y-intercept thatcorrespond with the graph.

Answers

slope= 2, y-intercept=-2
2,-2 it should be tho

One of the following statements regarding control charts is NOT true: A. A process is in control if it is capable of meeting customer specifications B. A process may be in control but not capable of meeting customer specifications C. A process may be capable of meeting customer specifications but not in control D. A process may be in control and be capable of meeting customer specifications

Answers

The statement that is NOT true regarding control charts is A. A process is in control if it is capable of meeting customer specifications.

A process being in control means that it is stable and predictable, with the variation due to common causes only. It does not necessarily mean that it is capable of meeting customer specifications. A process may be in control but have too much variability to meet the specifications, indicating that it needs improvement. Similarly, a process may be capable of meeting customer specifications but not in control if it is unstable and unpredictable due to special causes of variation. Therefore, control charts are used to monitor and improve processes to make them capable of meeting customer specifications while being in control.

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use the coordinates of the plotted points to complete the calculation below pay attention to negative find the slope of this line is​

use the coordinates of the plotted points to complete the calculation below pay attention to negative

Answers

Answer:

-1

Step-by-step explanation:

2-3= -1

3-2=1

-1/1=-1

i need help with this please!

i need help with this please!

Answers

Volume of a sphere:

V = (4/3)πr³

Circumference of a sphere:

C = 2πr

Surface area of a sphere:

A = 4πr²

above are important sphere related equations

so to find the surface area plug in values for equation

A= 4πr²

= 4 × 3.14 × 5.4 ×5.4

= 366.25 mm²

Write an equation of a line in slope-intercept form, which is passing through the point (8, −6) and is parallel to another line, whose slope is −2

Answers

Answer:

y=-2x+10

Step-by-step explanation:

slope intercept is written as y=mx+b

the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.

hope this helps!

Answer:

y=-2x+10

Step-by-step explanation:

Hello there!

First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)

Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b

Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:

-6 = -2*8 + b

-6 = -16 + b

(add 16 to both sides)

10 = b (or b=10)

Now that we have all of the parts we need, our answer will be y=-2x+10

Hope this helped!

The flow rate of any quantity into or out of a control volume depends on the flow the control surface. Time Mass Acceleration Velocity relative to

Answers

The flow rate of any quantity into or out of a control volume depends on the duration of time over which the flow occurs, the mass being transported, the acceleration of the flow, and the velocity of the flow relative to the control surface. These factors interact to determine the overall flow rate.

The flow rate of any quantity into or out of a control volume depends on several factors related to the flow at the control surface. These factors include time, mass, acceleration, and velocity relative to the control surface.

1. Time: The flow rate is influenced by the duration of time over which the flow occurs. For example, if water flows into a container for 1 minute, the flow rate will be different compared to if it flows for 10 minutes. The longer the duration, the larger the overall flow rate.

2. Mass: The amount of substance being transported is another important factor. For instance, if you have a larger amount of gas flowing into a control volume compared to a smaller amount, the flow rate will be greater for the larger mass.

3. Acceleration: The flow rate can also be affected by changes in acceleration. If the flow is accelerating, such as water flowing down a hill, the flow rate can increase. Similarly, if the flow is decelerating, such as water flowing uphill, the flow rate can decrease.

4. Velocity relative to the control surface: The velocity of the flow relative to the control surface also plays a role. For example, if a car is driving into a tunnel, the flow rate of the cars entering the tunnel will be influenced by the velocity at which they are traveling. A higher velocity will result in a larger flow rate.

To summarize, the flow rate of any quantity into or out of a control volume depends on the duration of time over which the flow occurs, the mass being transported, the acceleration of the flow, and the velocity of the flow relative to the control surface. These factors interact to determine the overall flow rate.

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read the following bar graph and answer the following related questions: 1:2 or 2:3 or 3:4 or 1:6.

Answers

Where is the bar graph?

Jayden earned 85% on a quiz that had 60 points. How many points did Jayden earn?

Answers

Answer:

Step-by-step explanation:

60*85%= 51

He got 51 points.

Answer: i think he got 51 right out of 60

Step-by-step explanation:

x +1 = -5
Graphing linear

Answers

Use the Desmos graphing app to find the answer

Answer:

x= -6

Step-by-step explanation:

Solve this and show your work!

Solve this and show your work!

Answers

Answer:

a = 1080/7 or 154.2857143

Step-by-step explanation:

180 = a + (1/6)a

180 = (7/6) a

a = 180/(7/6)

a = 1080/7

or 154.2857143

Answer:

a = 150

Step-by-step explanation:

A straight angle measures 180°.

The measures of the smaller and larger angles add to 180°.

The smaller angle measures 1/6 of 180°.

The measure of the smaller angle is 1/6 × 180° = 180°/6 = 30°

We are told the larger angle measures a.

a + 30° = 180°

a = 150°

Answer: a = 150

Evaluate the function at the given values of the independent variable. Simplify the results.f(x) = 3 cos 2x(a) f(0)(b) f(-pi/4)(c) f(pi/3)(d) f(pi)

Answers

The function evaluated at the given values of the independent variable is:
f(0) = 3
f(-pi/4) = 0
f(pi/3) = -3/2
f(pi) = 3

To evaluate the function f(x) = 3 cos 2x at the given values of the independent variable, we simply substitute those values into the function and simplify the results.

(a) f(0) = 3 cos 2(0) = 3 cos 0 = 3(1) = 3

(b) f(-pi/4) = 3 cos 2(-pi/4) = 3 cos(-pi/2) = 3(0) = 0

(c) f(pi/3) = 3 cos 2(pi/3) = 3 cos(4pi/6) = 3(-1/2) = -3/2

(d) f(pi) = 3 cos 2(pi) = 3 cos(0) = 3(1) = 3

Therefore, the function evaluated at the given values of the independent variable is:

f(0) = 3
f(-pi/4) = 0
f(pi/3) = -3/2
f(pi) = 3

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1. A survey was taken at Bernal Middle School to find out who their favorite teacher was. The survey asked 150 students and 90 of those students said Ms. Lancaster. What percent of the people surveyed voted Ms. Lancaster as their favorite teacher?

2. At the Mendoza's Thanksgiving there were 15 pecan pies. If 25% of there were eaten, how many pies were consumed?

3. 540 people were asked what their favorite ice cream flavor was and 45% of them chose chocolate. How many people chose chocolate?

Answers

1. 90/150 students voted Ms. Lancaster as their favorite teacher. If you divide 90 by 150, you get 0.6. 0.6 = 60% of students.

2. 25% of the 15 pecan pies were consumed, meaning 1 out of every 4 was eaten. 15/4, or 15 * 0.25 = 3.75 pies were consumed.

3. 45% of the 540 people said chocolate was their favorite ice cream flavor. To find the number of people, you can multiply 540 * 0.45 = 243 people chose chocolate.

Question 8(Multiple Choice Worth 2 points) (09.06 LC) How many decimeters are in 3.6 millimeters? 0.036 decimeters O0.36 decimeters O 36 decimeters O 360 decimeters​

Answers

The number of decimeters in  3.6 millimeters is 0. 0036 decimeters. Option D

How to convert the units

Conversion of units is simply defined as the conversion that is between different units of measurement for a particular quantity.

it is carried out mostly through multiplicative conversion factors.

It may involve multiple steps of multiplication or division by  a conversion factor.

From the information given, we have that;

1 decimeter = 1000 millimeters

Then, x decimeter = 3.6 millimeters

Cross multiply the values

x = 3.6/1000

divide the values

x  = 0. 0036 decimeters

Hence, the value is  0. 0036 decimeters

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help me with calculus ​

help me with calculus

Answers

Answer:

(2, -3)

General Formulas and Concepts:

Algebra I

Reading a coordinate planeCoordinates (x, y)Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the system of equations.

help me with calculus

Factors of 24 add up to -12

Answers

Answer:

The common factors of 12 and 24 are 1,2,3,4,6 and 12. What times what gives 24 as result? One time of 24 equal to 24, Two times of 12 is 24, Three times of 8 are 24, Four times of 6 are 24. Put your understanding of this concept to test by answering a few MCQs.

Step-by-step explanation:

Hope this helps!

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. given the directrix and the focus what is the vertex form of the equation of the parabola? the vertex form of the equation is .

Answers

The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

What is a parabola?

A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.

Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,

The standard form of a left-right parabola is given as:

4p(x-h) = (y-k)²

Focus = (p+h, k)

Therefore,

h+p = 3....(i)

Directrix =

x = h-p

h-p = 6...(ii)

Solving the equations we get,

h = 9/2

p = -3/2

Substitute into the standard form:

4p(x-h) = (y-k)²

4(-3/2)(x-9/2) = (y+5)²

-6(x-9/2) = (y+5)²

\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)

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The question is incomplete so, i solved for the attached question

Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction

which of the following numbers is the tenth number after the number that is before 10?

a.) 20
b.) 18
c.) 19
d.) 21
e.) 17

Answers

Answer:

c) 19

Step-by-step explanation:

Number before 10 = 9

tenth number after 9 = 19

Hope this helps!

The tenth number after the number that is before 10 is 19.

It should be noted that the number that is before 10 is 9.

Therefore, in order to solve the question, we have to add 9 to 10 which will be:

= 9 + 10

= 19

Therefore, the tenth number after the number that is before 10 is 19.

In conclusion, the correct option is C.

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The function g(x) is a transformation of the parent function f(x). Decide how f(x) was transformed to make g(x).
A) Horizontal or vertical reflection.
B) Horizontal or vertical stretch.
C) Horizontal or vertical shift
D) Reflection across the line y=x

Answers

The function g(x) is a transformation of the parent function f(x) it was transformed to make g(x) - Horizontal or vertical stretch.

What is Horizontal or vertical stretch?

Let's start thinking about vertical stretching and compression by simply looking at the graphs rather than starting with a ton of math.

Vertical stretching is the process of making a function taller by stretching it out vertically.

Vertical compression entails squashing the function down vertically, making it shorter.

Stretching and compression genuinely appear like that. It's time to start doing some math to figure out how to modify the function so that the graph can be stretched or compressed.

When the function that generated the original graph is changed in a way that necessitates a smaller x-value in order to get the same y-value, this is known as horizontal compression.

This happens when a constant c with a value larger than 1 is multiplied by the x-value of a function.

Hence, The function g(x) is a transformation of the parent function f(x) it was transformed to make g(x) - Horizontal or vertical stretch.

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PT.2 OF MY HW IT IS UNIT RATE PLEASE HELP!​

PT.2 OF MY HW IT IS UNIT RATE PLEASE HELP!

Answers

Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

Guys pls help me!!!!!!

Guys pls help me!!!!!!

Answers

Answer:

B is the correct option .

Step-by-step explanation:

Hope it was helpful dear ;)

The correct answer is B

Which of the following statements correctly compares lines A and B?

Which of the following statements correctly compares lines A and B?

Answers

First let’s figure out the equation of B
5Y = 25 + 5X
Then get y by itself
Y = 5+X
Now we know the y intercept of equation B
(0,5) remember that y intercept is when x = 0
For function A we can see that the y intercept is (0,4) so we get
Y int A < Y int B
Or D

Find the measure of angle FED and DEN. Thx!!!! :)

Find the measure of angle FED and DEN. Thx!!!! :)

Answers

Answer:

m<FED=60, m<DEN=120

Step-by-step explanation:

m<FED=60

This is because <GEN and <FED are vertical angles.

Vertical angles are always congruent.

Vertical angles are formed by a pair of intersecting lines, and are the angles directly across from one another.

m<DEN=120

This is because <DEN and <GEN are supplementary.

Supplementary angles add up to 180 degrees.

We know this because a straight line is always 180 degrees.

So:

m<DEN+m<GEN=180

m<DEN+60=180

m<DEN=120

Other Questions
Select the description of sensitivity analysis and how the advent of electronic spreadsheets has affected its use.A) Sensitivity analysis is the "what-if " techniques that managers use to examine how an outcome will change if the original predicted data are not achieved or if an underlying assumption changes. The advent of the electronic spreadsheets has greatly increased the ability to explore the effect of alternative assumptions but come at a much higher cost to companies.B) sensitivity analysis is the difference between the selling price and variable cost per unit. The advent of the electronic spreadsheet has greatly increased the ability to explore the effect of alternative assumptions at minimal cost.C) Sensitivity analysis measures how much a company can change for its products over and above the cost of acquiring or producing them. The assumptions and is more expensive than previous.D) Sensitivity analysis is the "what-if" technique that managers use to examine how an outcome will change if the original predicted data are not achieved or if an underlying assumption changes. The advent of the electronic spreadsheet has greatly increased the ability to explore the effect of alternative assumptions at minimal cost. 2 x(13 - 4x) = 0 Apply the zero product property to solve the following equations 7(x + 12) = 0 (x-6)(3x - 4) = 0 ABC's outstanding bonds have an 8% annual coupon payment and will mature in 18 years. The bonds are currently selling for 94.25% of par. If the company can issue new bonds at par with similar YTM, what is ABC's before-tax cost of debt? If ABC's marginal tax rate is 25%, what is its after- tax cost of debt? A company examines the investment in a new chemical product which will be finance by 35% with an increase of the shareholders' equity and by 65% with a bond loan. Tax rate is 25%. The current price of the stock is 22,5Euros while the last dividend distributed was 1,2Euros and a grow rate of 5% is expected for ever. Regarding the loan bond, the nominal value of each one is 1500 euros and current value 1350 euros. The interest rate of the bond is 9% and ends in 6 years from today. Find the shareholders required return, current bond interest rate and WACC. A deposit of $1,000 earns a return of 6.0% a compounded monthly for 8 years. The future value is closest to: english philosopher john locke regarded a child as a tabula rasa, which is a latin phrase meaning continuous variables can take on an infinite number of values whereas _____ variables can only take a value from a finite number of values. You are trading quanto options. What are the important sources of risks to include in your risk management model. If you are not familiar with quanto options, you can find information online. A buyer purchases a rental home that is fully furnished. The document used to transfer title to the furniture is: a. quitclaim deed b. bill of sale Holding all other things constant, which of the following represents a cash outflow? O The company sells an old machine. O The company increases accounts payable. O The company pays back notes payable. O The company receives a bank loan. If Joe has 40 apples and bob steals 5, how many apples does Joe have Which sentence from Passage 1 most clearly reveals the central idea that the antislavery movement laid the foundation for the women's suffrage movement? A "The delegates agreed with Anthony's assertion 'that all men and women are created equal,' and women should have the right to vote." (paragraph 3) B "Anthony compared the situation of enslaved African Americans to that of women." (paragraph 4) "Anthony called on her listeners to 'make the slave's case our own...." (paragraph 4) "The women who overcame this prejudice and had the courage to campaign in favor of abolition grew more and more proficient at making speeches and arguing in debates." (paragraph 5) oluc A company is able to sell 50 000 cans of deodorant per year for the next three years at a price of R4.00 per can. The variable cost per unit is R2.50 while it required R50 000 in research and development to develop the product. The fixed costs associated with the project are R12 000 while the equipment will cost R90 000 including installation costs. An initial outlay of R20 000 will be required for working capital. The equipment will be depreciated using the straight line method over three years and has a salvage value of R20 000. The companys tax rate is 40% while the cost of capital is 20%. What are the associated cash flows for the project? Calculate the payback period, accounting rate of return, IRR, NPV and profitability index associated with the project the calibration is to the 2ml so we do not estinate another digit what is the volume of the liquid in the cylinder Alpha is a multinational company and expects to receive 5,000,000 Japanese yen in 180 days from a Japanese company. You are given the following information:Deltas 180-day account receivable: JPY5,000,000Spot rate : JPY107.91 / USDDeltas best estimate of the expected spot rate in 180 days: JPY112.50 / USD.Deposit rate in USD is 2%Deposit rate in JPY is 9%Calculate the 180 days forward rate. [4 marks]Calculate how much Delta will receive in 180 days if its position is left unhedged?Calculate how much Delta will receive in 180 days if it hedges its position using a forward contract?Based on your answer, which position would you recommend? Saundra is the CEO of Boat Kingdom, a jet ski manufacturing plant. She is very proud of the quality jet skis her company produces. She wants to include a written warranty that promises to repair any jet ski that incurs damage within the first year after it is purchased, as long as the jet ski is returned to the manufacturer by the consumer. Terryl, the CFO of the company, discourages Saundra from providing any written warranty at all. To comply with the Magnuson-Moss Warranty Act, Saundra: A. must provide a written warranty, but it only needs to give the consumer the name and address of the person to contact to obtain warranty service. B. need not provide a written warranty. C. must provide a written warranty that explains the parts that are covered in the warranty. D. must provide a written warranty, and it must be written in simple, understandable language. What is the most important thing to remember when lifting weights?a. write down how much you are usingb. lift with a partnerc. put the weights back where you got themd. proper form and technique Question 1You are furnished with the following information:FBM KLCI spot = 1,670Risk free rate = 4.5% annualizedFBM KLCI dividend yield = 1.5% annualized(a) If the 90-day FBM KLCI futures contrac Southern Rim Parts estimates its manufacturing overhead to be $495,000 and its direct labor costs to be $900,000 for year 1. The first three jobs that Southern Rim worked on had actual direct labor costs of $20,000 for Job 301, $30,000 for Job 302, and $40,000 for Job 303. For the year, actual manufacturing overhead was $479,000 and total direct labor cost was $850,000. Manufacturing overhead is applied to jobs on the basis of direct labor costs using predetermined rates.Overhead applied in each of the inventory accounts is as follows:Work-in-process inventory$37,400Finished goods inventory102,850Cost of goods sold327,250Required:Prepare an entry to allocate the under- or overapplied overhead. Record the allocation of over- or underapplied overhead. 3:27 PM Mon Mar 13AcellusLaw of Cosines26Solve for C.5029C = [?]Round your final answerto the nearest tenth.Law of Cosines: c= a + b - 2ab-cosCMeasure of Angle CEnter3Help Resources