Write a function in terms of $t$ that represents the situation.

Sales of $10,000 increase by 65% each year.

Answers

Answer 1

A function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.

What is function?

An element of one non-empty set and an element of another non-empty set are said to have a special relationship when they are connected by a function in mathematics.

An assignment of an element from set Y to each element of set X, where set X is the domain and set Y is the codomain, is what is meant when a function is applied from a set X to a set Y.

We have given that f(t) is given by the Sales of $10,000 increase by 65% each year, i.e.

As sales of $10,000 increase by 65% each year.

The situation is represented by an exponential growth function.

The initial amount a = 10,000

The rate of growth r = 65% = 0.65

Therefore, the function will be:

                                                   t = a(1 + r)ⁿ                                                  

Where,

t represents the final amount.

a represents the initial amount

r represents the rate of growth

1+r represents the growth factor

n represents the time.

⇒  t = a(1 + r)ⁿ      

⇒  t = 10,000(1 + 0.65)ⁿ    

⇒  t = 10,000(1.65)ⁿ    

Thus, a function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.    

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Related Questions

The ratio of the number of galleons to the number of galleys in the spanish armada is 5 : 1 . what missing information could be used to find the total number of galleons to galleys in the spanish armada ?

Answers

The amount of the galleys or the number of galleys.

If given the amount of galleons, you can find the amount of galleys by dividing the number of given galleons by 5.

If given the amount of galleys, you can find the amount of galleons by multiplying the number of given galleys by 5.

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HELP PLEASE!)

A square pyramid has surface that is covered in dark glass. The sides of the pyramid are 456 feet in length. The slant height of the pyramid is 185 feet.

Find the lateral surface area to determine the square feet of glass needed to cover the surface of the pyramid.

Answer choices
376,656 ft^2
42,180 ft^2
337,440 ft ^2
168,720 ft^2

Answers

it should be 376,656 ft^2 bc
1. square the bases (456 x 456 = 207936)
2. four triangles 4(1/2 x base x height) which would be 4(1/2 x 456 x 185) = 168720
then add up 168720 + 207936 = 376656
hope this helps :D

What is the recursive formula for the geometric sequence with this explicit
formula?

Answers

The recursive formula for the geometric sequence is given as follows:

D.

[tex]a_1 = 9[/tex].[tex]a_n = a_{n-1} \times \left(-\frac{1}{3}\right)[/tex]

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

With a recursive formula, it is given by:

[tex]a_n = a_{n-1} \times q[/tex]

For this problem, the first term and the common ratio are:

[tex]a_1 = 9, q = -\frac{1}{3}[/tex]

Then the recursive formula is:

D.

[tex]a_1 = 9[/tex].[tex]a_n = a_{n-1} \times \left(-\frac{1}{3}\right)[/tex]

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An athletic coach conducted an experiment to test whether a four-week stretching and flexibility program reduces the number of muscular injuries that occur during athletic events. the coach randomly selected 30 athletes from several sports and randomly assigned 15 athletes to the four-week program. the remaining 15 athletes did not participate in any type of flexibility program during the four weeks. which statements about this study are true?

Answers

Answer:

The remaining 15 athletes did not participate in any type of flexibility program

The probability of a student buying coffee before class is 30%. The probability of a student buying a muffin before class is 40%. The probability of a student buying tea before class is 20%. The probability a student buys coffee AND a muffin before class is 15%. The probability a student buys tea AND a muffin before class is 10%. What is the probability that a student buys coffee OR a muffin before class

Answers

The probability that a student buys coffee OR a muffin before class is 55%

How to determine the probability?

The given parameters are:

P(Coffee) = 30%

P(Muffin) = 40%

P(Tea) = 20%

P(Coffee and Muffin) = 15%

P(Tea and Muffin) = 10%

The probability that a student buys coffee OR a muffin before class is

P(Coffee or Muffin) = P(Coffee) + P(Muffin) - P(Coffee and Muffin)

This gives

P(Coffee or Muffin) = 30% + 40% - 15%

Evaluate

P(Coffee or Muffin) = 55%

Hence, the probability that a student buys coffee OR a muffin before class is 55%

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Which statement correctly describes the expression 19×4?
A. Both factors are negative, so the product will be positive.
B. One factor is positive and one factor is negative, so the product will be positive.
C. Both factors are positive, so the product will be negative.
D. Both factors are positive, so the product will be positive.​

Answers

Answer:

D. Both factors are positive, so the product will be positive.​

Mr. Omwoyo, the principal of Maili Mbili Secondary would wish to cover the floor of the new administration block using square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of the largest tiles in cm² which can be used to fit exactly without cutting. ​

Answers

Answer:

hi play truth and dare to with me in g met

Which could be the entire interval over which the function, f(x), is positive? a 2-column table with 8 rows. the first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2, 3, 4. the second column is labeled f of x with entries negative 2, 0, 2, 2, 0, negative 8, negative 10, negative 20.

Answers

The entire interval over which the function, f(x), is positive is (-∞,1).

What is a function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The set X is referred to as the function's domain, while the set Y is referred to as the function's codomain.

According to the question,

The function has positive values corresponding to the interval from negative infinity to one.

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John's dad is 30 years old than john. if john were three times ad old as he is now,he would still be younger than his dad. what is the oldest that john could be right now

Answers

john could be right now 45

What is word problem in math?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."

According to the question:

John's dad is 30 years old than john .In essence, x = y -30 .................equation 1

And

john were three times ad old as he is now.y=3x

Solution for the above equation:

                                               [tex]x=y-30, y=3 x \quad\\ \quad x=15, y=45[/tex]

steps:

                                                [tex]x=y-30 \\y=3 x[/tex]

Substitute :[tex]$y=3 x$[/tex]

                                               [tex][x=3 x-30][/tex]

                                   [tex]for $$x=3 x-30: \quad x=15[/tex]

For [tex]$y=3 x$[/tex]

Substitute: [tex]$x=15$[/tex]

                                               [tex]y=3 \cdot 15[/tex]

Simplify:

                                               [tex]y=45[/tex]

The solutions to the system of equations are: [tex]$x=15, y=45$[/tex]

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Quick Please

(order from least to greatest)
please and thank you

Answers

Answer:

√(3 , √(π , 2

Step-by-step explanation:

ascending order

Nathan buys a bottle of water for $1.25, gum for $0.50, and a book for $3.95. the sales tax is 10%. what is the sales tax for the things he buys

Answers

Answer:

$0.75, which is

75 cents

Step-by-step explanation:

First add the cost of all the items.

1.25 + .50 + 3.95

= 5.70

To find 10% of 5.70, change the percent to a decimal and multiply.

10% is .10

5.70 × .10 = .57

The tax is 57 cents. This can be written as $0.57



Use a model to solve six multiplied by seven eighths. Leave your answer as an improper fraction.

A. forty two forty eighths

B. thirteen eighths

C. thirteen fourteenths

D. forty two eighths

Answers

Let's see

seven eighths means 7/8

So

6(7/8)42/821/4

Forty two eighths

1. What is the approximate area of circle A?

2. What is the approximate area of circle B?

3. What is the approximate area of the shaded region 1 (between the square and circle A)?

4. What is the approximate area of shaded region 2 (between circles A & B)?

Answers

The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.

The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.

The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.

The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.

How to estimate geometric areas

In this situation we have a square whose side length is known and two circles whose radii have to be estimated. By direct inspection we find that the diameter of circle A is two thirds of the length of the square side (l), in inches and the diameter of circle B is the half of the diameter of the former. Now we proceed to find the key dimensions of the figure:

Circle A

Diameter: 16 inches

Radius: 8 inches

Circle B

Diameter: 8 inches

Radius: 4 inches

The approximate area of circle A is π · 8² = 64π ≈ 201.062 square inches.

The approximate area of circle B is π · 4² = 16π ≈ 50.265 square inches.

The approximate area of shaded region 1 is 24² - 64π ≈ 374.938 square inches.

The approximate area of shaded region 2 is 64π - 16π = 48π ≈ 150.796 square inches.

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Aaron has a loan of 1250£ He pays simple intrest 0.5% per month for eight months Calculate the total amount of interest Aaron pays​

Answers

Answer: 50 Pounds

Explanation: First we need to find out how much 0.5% of 1250 is. 0.5% of 1250 is 6.25£. Since that’s per month, and Aaron pays interest for 8 months, we multiply by 8. So 6.25 times 8 is 50.

FIRST CORRECT ANSWER WILL GET BRAINLIEST

Answers

Answer:

They are parallel.

Step-by-step explanation:

They have the same slope, 7, and different y-intercepts, 4, -1/4, so they are parallel.

Write the equation of the line that has a slope of -2 and passes through (-4, -5)

Answers

Answer: [tex]y+5=-2(x+4)[/tex]

Step-by-step explanation:

See attached image.

Q.3. The slope of line is ¾ and the y - intercept is equal to 4 . Write the equation of the line and draw the graph of the line.

help me now!!

Answers

The equation of line with the given slope and y-intercept is y = (3/4)x + 4.

What is the equation of the line?

Given that;

Slope = 3/4y-intercept b = 4Equation of the line y = ?

We use the formula for equation of line to determine the equation.

y = mx + b

Where m is the slope and b is the y-intercept.

We plug in our values

y = mx + b

y = (3/4)x + 4

Therefore, the equation of line with the given slope and y-intercept is y = (3/4)x + 4.

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A set of twins, Andrea and Courtney, are initially 10 years old. While Courtney remains on Earth, Andrea rides on a spaceship that travels away from Earth at a speed of 0.60c for 10 years (as measured by Courtney). At the end of the trip, Courtney is 20 years old. How old is Andrea

Answers

The initial age of 10 years and the spaceship speed of 0.60•c, gives the Andrea's age at the end of the trip as 18 years.

How can Andrea's new age be calculated?

The time dilation using the Lorentz transformation formula is presented as follows;

[tex]t' = \frac{t}{ \sqrt{1 - \frac{ {v}^{2} }{ {c}^{2} } } } [/tex]

From the question, we have;

The spaceship's speed, v = 0.6•c

∆t = Rest frame, Courtney's time, change = 10 years

Therefore;

[tex]\delta t' =\delta t \times \sqrt{1 - \frac{ {(0.6 \cdot c)}^{2} }{ {c}^{2} } } = 8[/tex]

The time that elapses as measured by Andrea = 8 years

Andrea's age, A, at the end of the trip is therefore;

A = 10 years + 8 years = 18 years

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The range, a measure of variability, Group of answer choices is the difference between the largest (L) and smallest (S) value in a list of scores is the most informative when used to describe data sets without outliers includes only two values in its computation, regardless of the number of scores in a distribution all of the above

Answers

The correct answer is all of the above.

Why is the range the most convenient measure of variability?

Your data's spread from the lowest to the greatest value in the distribution is indicated by the range. The calculation of this variability index is the simplest. Simply subtract the lowest value from the highest value in the data set to determine the range.

How do you find the range?

The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.

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There are 5 different families of triplets at a triplets convention. Each triplet shook hands with all the other triplets, except his or her siblings. How many handshakes took place?

Answers

There is a total of 90 handshakes.

How many handshakes took place?

There are 5 sets of triplets.

If we select one of the sets, each of the triplets will have one handshake with the other 12 people. So we have 36 handshakes at this point.

Now we only care for the other 4 sets.

We select one set again, each triple on that set will have one handshake with the other 9 people, so for the 3 triplets, we have a total of 27 new handshakes.

For the remaining 3 sets we do the same, this time we add 18 handshakes.

Finally, there are 2 sets of triplets, this time we add 9 new handshakes.

To get the total number of handshakes we need to add them all:

36 + 27 + 18 + 9 = 90

There is a total of 90 handshakes.

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An equilateral triangle and a square both have perimeters of 48 inches. What is the ratio of the length of the side of the triangle to the length of the side of the square

Answers

Answer: 4:3

Step-by-step explanation:

The side length of the triangle is 48/3 = 16.

The side length of the square is 48/4 = 12.

So, the ratio is 16:12 = 4:3.

A graphing calculator is recommended.

Use the graphical method to find all solutions of the system of equations, rounded to two decimal places.

y=e^x+e^-x
y=5-x^2

Dont bother answering if you won't show how you got it

Answers

The solution to the system of equations is (-1.189, 3.587) and (1.189, 3.587)

How to solve the system of equations?

The system of equations is given as

y=e^x+e^-x

y=5-x^2

See attachment for the graph of both equations

From the attached graph, the curve intersect at

(-1.189, 3.587) and (1.189, 3.587)

Hence, the solution to the system of equations is (-1.189, 3.587) and (1.189, 3.587)

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1. Find the Principal when S.l. = 100 Rate = 5% per annum Time = 2 years.​

Answers

The principal is 1000

SI = PRT/100

Simple interest = 100

Rate = 5%

Time = 2 years.

SI = PRT/100

100 = (P × 5 × 2)/100

10000 = 10P

P = 10000/10

P = 1000

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true?

Answers

Based on the calculations, the true statements are:

A. The angular velocity is 10π rad/sec.

E. The angular velocity is 600π rad/min.

How to calculate the angular velocity?

Mathematically, angular velocity can be calculated by using this formula:

ω = θ/t

Where:

ω is the angular velocity.θ is the angle.t is the time.

Note: 1/2 revolution = 0.5 × 2π = π radians.

Substituting the given parameters into the formula, we have;

ω = θ/t

ω = π/0.1

ω = 10π rad/s.

Next, we would convert the time in seconds to minutes:

ω = 10π × 60

ω = 600π rad/min.

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Complete Question:

A golfer’s arm rotates 1/2 of a revolution in 1/10 of a second. If the angular displacement is measured in radians, which statements are true? Check all that apply.

A. The angular velocity is 10π rad/sec.

B. The angular velocity is 10π rad/min.

C. The angular velocity is 60π rad/min.

D. The angular velocity is 600π rad/sec.

E. The angular velocity is 600π rad/min.

Answer:

A,

Step-by-step explanation:

Edge202

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
Help
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.

Answers

The probability of drawing two yellow balls if they're not replaced exists 1/45.

What is probability?

The probability exists in the analysis of the possibilities of happening of an outcome, which exists accepted by the ratio between favorable cases and possible cases.

Number of yellow marbles be 2

Number of pink marbles be 3

Number of blue marbles be 5

Total number of marbles = 2+3+5 = 10

The probability of removing the first yellow ball = 2/10

Since the ball exists not replaced, that indicates there choice be 9 balls left and 1 yellow ball left.

Probability of drawing the second yellow ball = 1/9.

Probability of drawing two yellow balls if they're not replaced

= 2/10 × 1/9

= 2/90

= 1/45

The probability of drawing two yellow balls if they're not replaced exists 1/45.

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Instructions: Given the coordinate points of the preimage, use the transformation given
to provide the points of the image.

Answers

The rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

How to determine the coordinates

Note that rotation about in clockwise 90 degrees direction when M(h , k) rotated about the origin, the new rotation coordinates would be in the form M' (k , -h)

Coordinates of the preimage were given as;

H ( -3, -2)

I ( 1, 1 )

J ( 0, -4)

The coordinates after a 90 degrees rotation about the origin, would be

For H ( -3, -2)

h = - (-3) = 3

k = -2

H' = ( -2, 3)

For I ( 1, 1)

h = - (1) = -1

k = 1

I' = ( 1, -1)

For J ( 0, -4)

h = - (0) = 0

k = -4

J' = ( -4, 0 )

Thus, the rotation about 90 degrees clockwise from the origin would give H'( -2, 3) , I' (1 , -1) and J' (-4, 0)

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Solve the linear equation
x/2 + 2y/3 = -1 and x - y/3 = 3​

Answers

x/2+2y/3=-1

Multiply by 6

3x+4y=-6-»eq(1)

And

x-y/3=3

Multiply by 3

3x-y=9-»eq(2)

eq(1)-eq(2)

5y=-15y=-3

Then

3x+4(-3)=-63x-12=-63x=6x=2

From Equation 1

[tex] \dfrac{x}{2} + \dfrac{2y}{3} = - 1 [/tex]

[tex] \dfrac{3x + 4y}{6} = - 1[/tex]

[tex]3x + 4y = - 6 [/tex]

From Equation 2

[tex]x - \dfrac{y}{3} = 3 [/tex]

[tex] \dfrac{3x - y}{3} = 3[/tex]

[tex]3x - y = 9[/tex]

By eliminating ;;

For that multiply equation 2 by 4

12x - 4y = 36 _(3)

By taking equation (1) and (3)

3x + 4y = -6

12x - 4y = 36

__________

15x = 30

x = 30/15

x = 2

Putting the value of x in 2

[tex]3(2) - y = 9[/tex]

[tex]6 - y = 9[/tex]

[tex]6 - 9 = y[/tex]

[tex]-3 = y[/tex]

So The value of x = 2 and y = -3

What is the -value in the solution to this system of linear equations?y

4 + 5 = −12xy

-2 + 3 = −16xy

Answers

The xy-value in the solution to the given system of linear equation shows that x = 2 and y = -4.

What is a system of linear equations?

Whenever two or more linear equations operate simultaneously, we create a System of Linear Equations. These equations must contain one or more similar variables in order to operate together.

When solving a system of linear equations, our objective is to simplify two equations having two variables to a single equation having one variable. Because each equation in the system includes two variables, substituting an expression for a variable is one technique to minimize the number of variables in an equation.

From the given information:

4x + 5y = -12  --- (1)

-2x + 3y = -16 ----- (2)

From equation (1)

4x+5y+(−5y) = −12 + (−5y)       (Add -5y to both sides)

4x = −5y − 12

Divide both sides by 4

[tex]\mathbf{\dfrac{4x}{4}= \dfrac{-5y-12}{4}}[/tex]

[tex]\mathbf{x= \dfrac{-5}{4}y-3}[/tex]

Replacing the value of x in [tex]\mathbf{ \dfrac{-5}{4}y-3}[/tex] into equation (2); we have:

[tex]=\mathbf{-2(\dfrac{-5}{4}y-3)+3y=-16}[/tex]

[tex]\mathbf{\dfrac{11}{2}y+6 =-16}[/tex]

Simplifying both sides of the equation, we have:

[tex]\mathbf{\dfrac{11}{2}y+6-6 =-16-6}[/tex]

[tex]\mathbf{\dfrac{11}{2}y=-22}[/tex]

Cross multiply

11y = -44

y = -4

Replace the value of y = -4 into [tex]\mathbf{x= \dfrac{-5}{4}y-3}[/tex]

[tex]\mathbf{x= \dfrac{-5}{4}(-4)-3}[/tex]

x = 2

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Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?

O Circle
O Line segment
O Parallel line
O Ray

Answers

Answer:

circle

Step-by-step explanation:

any point on the circumference of a circle is equidistant from the centre.

The answer is circle

The general term of a sequence is T(n)=n+2/n+3, find the value of T(1)*T(2)*T(3)*……….*T(100).

Answers

Answer:

T(1)=1+2(1)+3=6

T(2)=2+2(2)+3=9

T(3)=3+2(3)+3=12

T(100)=100+2(100)+3=303

Other Questions
What are the characteristics of tropical rain forest? adapted from To My Old MasterThis letter was written by Jourdon Anderson, a person who escaped slavery during the Civil War. The letter is addressed to the man who once held him in slavery, Colonel P.H. Anderson. After the Civil War, Colonel Andersons plantation was failing, and he wrote Jourdon to ask him to return to work the fields and help him save his business.Dayton, Ohio, August 7, 1865.To my old Master, Colonel P. H. Anderson, Big Spring, Tennessee. Sir:I got your letter, and was glad to find that you had not forgotten Jourdon, and that you wanted me to come back and live with you again, promising to do better for me than anybody else can. I have often felt uneasy about you. Although you shot at me twice before I left you, I did not want to hear of your being hurt and am glad you are still living. I would have gone back to see you all when I was working in the Nashville Hospital, but one of the neighbors told me that Henry intended to shoot me if he ever got a chance . . .I want to know particularly what the good chance is you propose to give me. I am doing tolerably well here. I get $25 a month, with victuals and clothing; have a comfortable home for Mandy (the folks call her Mrs. Anderson), and the children, Milly, Jane, and Grundy, go to school and are learning well . . .As to my freedom, which you say I can have, there is nothing to be gained on that score, as I got my free papers in 1864 from the Provost-Marshal-General of the Department of Nashville. Mandy says she would be afraid to go back without some proof that you were disposed to treat us justly and kindly; and we have concluded to test your sincerity by asking you to send us our wages for the time we served you. This will make us forget and forgive old scores and rely on your justice and friendship in the future. I served you faithfully for thirty-two years, and Mandy twenty years. At $25 a month for me, and $2 a week for Mandy, our earnings would amount to $11,680. Add to this the interest for the time our wages have been kept back, and deduct what you paid for our clothing, and three doctors visits to me, and pulling a tooth for Mandy, and the balance will show what we are in justice entitled to. From your old servant, Jourdon AndersonP.S. Say howdy to George Carter and thank him for taking the pistol from you when you were shooting at me.Question 1Part AWhat is an implied idea in "To My Old Master"?ResponsesJourdon trusts the Colonel to reimburse him for unpaid wages.Jourdon trusts the Colonel to reimburse him for unpaid wages.Jourdon does not believe the Colonel will keep his promises if he and his wife return to work on the plantation.Jourdon does not believe the Colonel will keep his promises if he and his wife return to work on the plantation.Jourdon wants to return to work for the Colonel but does not think he can make enough money working on the plantation. Jourdon wants to return to work for the Colonel but does not think he can make enough money working on the plantation. Jourdon is eager to share details with the Colonel about how well he is doing.Jourdon is eager to share details with the Colonel about how well he is doing.Question 2Part BWhich evidence from "To My Old Master" best supports the answer in Part A?Responses"This will make us forget and forgive old scores and rely on your justice and friendship in the future.""This will make us forget and forgive old scores and rely on your justice and friendship in the future.""I got your letter, and was glad to find that you had not forgotten Jourdon, and that you wanted me to come back and live with you again, promising to do better for me than anybody else can.""I got your letter, and was glad to find that you had not forgotten Jourdon, and that you wanted me to come back and live with you again, promising to do better for me than anybody else can.""I am doing tolerably well here. I get $25 a month, with victuals and clothing; have a comfortable home for Mandy (the folks call her Mrs. Anderson), and the children,""I am doing tolerably well here. I get $25 a month, with victuals and clothing; have a comfortable home for Mandy (the folks call her Mrs. Anderson), and the children,""Mandy says she would be afraid to go back without some proof that you were disposed to treat us justly and kindly; and we have concluded to test your sincerity by asking you to send us our wages for the time we served you.""Mandy says she would be afraid to go back without some proof that you were disposed to treat us justly and kindly; and we have concluded to test your sincerity by asking you to send us our wages for the time we served you." How does a monarchy government make decisions? Use the quadratic formula to find the solutions to the quadratic equationbelow.x-5x-4 = 0O A. x =O-5+412B. x = 541O c. x =C.-5+/29D. x = 52 how many atoms are indicated by the prefixes for each of the following items. drag each item to the appropriate bin Look at the diagram. What evidence can you find to show that the Pacific Plate is moving, but the hot spot is not? (A) The diagram shows active volcanoes on the other islands. (B) Hawaii is the only island that is on the hot spot. (C) The diagram shows that the rocks on the other islands are younger. (D) The ocean water keeps the other islands cooler. How did Huey Long get assassinated? How do you convert base 10 to base 4? If a1 = 4 and an = -3an-1 - 4 then find the value of a3 A chef can bake 15 pies in 1 hour. What is the rate of pies per minute? summarize how the high temperature in this city changed over the 15 days What is the rule of the sequence 2 4 6? Write a story problem that will result in the problem 5 + (-12) Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75.Which explains the error that Krista made?Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75.Which explains the error that Krista made?Krista put 0.40 in the first equation meant for the number of stamps.Krista did not use the correct decimal to represent the total cost of the stamps.Krista mistakenly put 45 in the first equation when it should have been in the second equation.Krista put 0.55 in the second equation meant for the value of stamps. Why did Ferdinand and Isabella of Spain agree to fund Columbus' voyages?to name all the lands he found after themto bring riches and power to the Spanish empireto convert any peoples he found to Christianityto bring spices and animals to the Spanish empire How was marjane satrapi perceived in Iran Can a triangle be formed having the length of sides 2cm 3cm & 5cm justify it? A tring i placed on the outide of a clock going clockwie from 12to 9. The clock ha a radiu of 6 inche. What i the length of the tring Which equation represents a linear function?=1y= x1=23y=2x3=53+8y=5x 3 +8=2+2+1y=x 2 +2x+1 which statement or statements best describe the jim crow era in the south?