Where should you plot the ordered pair (3,4) in relation to the origin?


CLEAR CHECK

4 spaces to the right and 3 spaces up


3 spaces to the right and 4 spaces up


3 spaces to the right, 4 times


3 spaces up and 4 spaces to the right

Answers

Answer 1

The ordered pair (3,4) in relation to origin is plotted as:

3 spaces to the right and 4 spaces up

When two items are written inside parantheses and are separated by a comma, they create an ordered pair. For instance, the ordered pair (x, y) indicates an ordered pair in which 'x' is referred to as the first element and 'y' is referred to as the second element. These items, which can be either variables or constants, have distinct names depending on the context in which they are used. In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).

In coordinate geometry, a point's location on the coordinate plane with respect to the origin is represented as an ordered pair. Two perpendicular intersecting lines, one of which is the x-axis and the other is the vertical line, together constitute a coordinate plane (y-axis).

Learn more about Ordered pairs here:

brainly.com/question/1528681

#SPJ1

Where Should You Plot The Ordered Pair (3,4) In Relation To The Origin?CLEAR CHECK4 Spaces To The Right

Related Questions

What is the equation of the line that passes through the point (2,-1) and has a slope of 1?

Answers

Answer:

y = x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

to find c substitute (2, - 1 ) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

y = x - 3 ← equation of line

F(x)=7x-4 and f(x)=17 find x

Answers

Answer:

x = 3

Step-by-step explanation:

We are given an equation in function notation and asked to solve for x. We can do this by isolating the variable.

Solving for x

First, substitute 17 into the equation for f(x).

17 = 7x - 4

Now, we can isolate the x-variable by adding 4 to both sides.

21 = 7x

Then, divide both sides by 7.

3 = x

This means when f(x) = 17, x = 3.

Checking the Answer

Now that we have solved for x, we can check the answer we got. Plug 3 into the original equation for x and see if the equation remains true.

17 = 7(3) - 417 = 17

Since 17 = 17 is a true statement, the answer x = 3 must be correct.

What is the missing length?

Please answer quick!

Answers

The missing length of the right triangle is found to be

What is termed as the right triangle?A right triangle is one where one of the interior angles is 90°. The hypotenuse is the longest side of a right triangle as well as the side opposite the right angle, while the height and base are the two arms of the right angle.Right Triangle CharacteristicsIn a right triangle, the right angle is the largest.The longest side is the hypotenuse, which is the side opposite this same right angle.A right triangle cannot have any obtuse angles.

For the given question;

The area of the right triangle is 112.7 cm².

The base of the right triangle is 16.1 cm.

The formula for finding the area of the triangle is-

Area = ¹/₂ base × height

Height = 2 area/ base

Put the values,

Height 'P' = 2 × 112.7 / 16.1

Height 'P' = 14

Thus, the missing side 'P' of the right triangle is found as 14 cm.

To know more about the right triangle, here

https://brainly.com/question/64787

#SPJ13

Angela is building a fence for a circular playground, with a radius of 7 feet. How much fence will Angela need for the playground?

Answers

The answer is : 43.98

Given:

Circular playground with radius=7 feet

To find:

Fence for the playground

Solution:

To find the fence required for the circular playground, we will have to find the circumference of the ground.

Circumference =2πR ( where R is the radius of the circle)

= 2*3.14*7

= 44 feet

Therefore, the fence required is 44 feet.

To know more about circumference problems, click on https://brainly.com/question/20489969

On Monday Harold picked up six donuts and two large coffees for the office staff. He paid $5.80. On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02. What is the cost of one donut? What is the cost of one large coffee?

Answers

Cost of tjhe donut: D

Cost of the large coffee: C

On Monday Harold picked up six donuts and two large coffees for the office staff, he paid $5.80:

[tex]6D+2C=5.80[/tex]

On Tuesday, Melinda picked up four donuts and 5 large coffees for the office staff. She paid $7.02:

[tex]4D+5C=7.02[/tex]

Use the next system of linear equations to find the value of D and C:

[tex]\begin{gathered} 6D+2C=5.80 \\ 4D+5C=7.02 \end{gathered}[/tex]

1. Solve D in the first equation:

[tex]\begin{gathered} \text{Subtract 2C in both sides of the equation:} \\ 6D+2C-2C=5.80-2C \\ 6D=5.80-2C \\ \\ \text{Divide both sides of the equation into 6:} \\ \frac{6}{6}D=\frac{5.80}{6}-\frac{2}{6}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}C \end{gathered}[/tex]

2. Substitute the D in the second equation by the equation you get in step 1:

[tex]4(\frac{5.80}{6}-\frac{1}{3}C)+5C=7.02[/tex]

3. Solve C:

[tex]\begin{gathered} \frac{23.2}{6}-\frac{4}{3}C+5C=7.02 \\ \\ \frac{-4C+15C}{3}=7.02-\frac{23.2}{6} \\ \\ \frac{11}{3}C=\frac{42.12-23.2}{6} \\ \\ \frac{11}{3}C=\frac{18.92}{6} \\ \\ C=\frac{3}{11}\cdot\frac{18.92}{6} \\ \\ C=\frac{56.76}{66} \\ \\ C=0.86 \end{gathered}[/tex]

4. Use the value of C=0.86 to find D;

[tex]\begin{gathered} D=\frac{5.80}{6}-\frac{1}{3}C \\ \\ D=\frac{5.80}{6}-\frac{1}{3}(0.86) \\ \\ D=\frac{5.80}{6}-\frac{0.86}{3} \\ \\ D=\frac{17.4-5.16}{18} \\ \\ D=\frac{12.24}{18} \\ \\ D=0.68 \end{gathered}[/tex]

The solution fot the system is:

[tex]\begin{gathered} C=0.86 \\ D=0.68 \end{gathered}[/tex]The cost of one dount is $0.68The cost of one large coffee is $0.86

A shape has only three angles, and only one of those angles measures 90 degrees. What is the name of the shape?

Answers

Answer:

A right Triangle

Step-by-step explanation:

A right triangle has 3 angles and one of those angles measures 90 degrees.

B is between A and C. C is the midpoint of BD. D is between C and E.
AB=6x+5, BC=3x+1, DE=7x+3, AE =12x+31 Find AD.

Answers

C is the midpoint of BD, Therefore, BC = CD

Now, AD = AB + BC + CD = (6x +5) + (3x + 1) + (3x + 1) = 12x + 7 .... eqn 1

Also, AD = AE - DE = (12x + 31) - (7x + 3) = 5x + 28 ....... eqn 2

From Eqn 1 and Eqn 2,

12x + 7 = 5x + 28

⇒ 12x - 5x = 28 - 7

⇒ 7x = 21

⇒ x = 21/7

x = 3

So, AD = 12x + 7 = 12(3) + 7 = 36+7

⇒ AD = 43 units

What is a Line segment?A line segment in geometry is a section of a straight line that is enclosed by two clearly defined endpoints and contains all of the points on the line that lies inside those endpoints. The Euclidean distance between two ends of a line segment determines its length. Half-open line segments contain exactly one of the endpoints, while closed-line segments have both of the endpoints. Open line segments do not contain either of the endpoints. A line drawn above the symbols for the two endpoints is frequently used in geometry to indicate a line segment.The sides of a triangle or a square are examples of line segments. A line segment is either an edge (of that polygon or polyhedron) if its endpoints are nearby vertices, or a diagonal more broadly when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its endpoints are located on a curve, like a circle (of that curve).

To learn more about the Line segment, refer to:

https://brainly.com/question/25727583

#SPJ13

Using the chart above, find the total amount and amount of Interest pald in the following compound Interest problems.
$900 at 6%, for 10 years.
Compounding Total Amount Interest Amount
annually
$
semiannually $
quarterly
$
>
V
$
$
$

Answers

Total amount will be $1520.53(approx.)

What is Compound Interest?

Compound interest is calculated by multiplying the initial loan amount, or principal, by the one plus the annual interest rate raised to the number of compound periods minus one.The formula is,

A = P(1 + r/n)^(n*t)

Given,

principle P = $900

rate r = 6%

time t = 10 years

Put these values in formula, i.e, A = P(1 + r/n)^(n*t)

A = 900 * ( 1 + 6/100)^10

   = 900 * (106/100) ^ 10

After solving we get, A = $1520.53

Therefore, the total amount will be $1520.53(approx.)

To read more about Compound Interest.

https://brainly.com/question/25870256

#SPJ13

there are four suits: clubs, diamonds, hears and spades, and the following cards appear in each suit: ace, 2, 3, 4, 5,6 ,7, 8, 9, 10, jack, queen, king. a a 7? b. a black card?

Answers

The probability of getting a 7 is 1/13 and a black card is 1/2.

What is a Probability?Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

To learn more about Probability from the given link

https://brainly.com/question/11234923

#SPJ4

The probability of getting a 7  [tex]\frac{1}{13}[/tex] and a black card is [tex]\frac{1}{2}[/tex].

What is a Probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities.

A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. It is more likely that an event will occur if its probability is higher.

Probability theory, which is widely used in fields of study like statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.

Given that

A deck of cards contains 52 cards

The total number of 7's are 4 cards

The total number of black cards is 26

A) Probability of getting a 7 = Total number of 7 / Total cards

Probability of getting a 7  = 4/52

Probability of getting a 7  = 1/13

B) Probability of getting a Black card = Total number of Black cards/ Total cards

Probability of getting a Black card = 26/52

Probability of getting a Black card = 1/2

To learn more about Probability from the given link

brainly.com/question/11234923

#SPJ4

A biker rode 3.75 miles in 0.3 hrs

A) how fast is she going?
B) how long will it take her to go 4.5ml?

Answers

bike ride is 3.75 miles, or 4.5ml is

3.75/.3 (or 4.5/x.36) (or x 1).

Timing is 0.3 hours.

Speed = Distance / Time Speed = 3.75 x 0.3 = 12.5 mph.

2) Speed is 12.5 mph, and the distance is 4.5 miles.

Time = Distance * Speed.

Time = 4.5 * 12. 5 = 0.36 hours.

It takes 0.36 hours to travel 4.5 miles.

How is the speed per hour determined?

Speed is calculated as follows: speed = distance / time. Knowing the units for distance and time is necessary to calculate the units for speed. The units in this example will be meters per second (m/s), since the distance is measured in meters (m) and the time is measured in seconds (s).

to learn more about speed refer to:

https://brainly.com/question/11309911

#SPJ13

Find the coordinates of G if F(1, 3.5) is the midpoint of GJ and J has coordinates
(6,-2).

Answers

The coordinates of g are (-4, 9).

What are coordinates?A pair of numbers that represent a point's position on a coordinate plane using the horizontal and vertical distances between the two references. Usually represented by the pair of x and y values (x,y). A coordinate system can be used to determine a point's exact location on the globe. A coordinate is a pair of numbers that describes the location of a point in a coordinate system. The distance between the point and the origin, which is a fixed point of reference, is represented by each of these values.

So, the midpoint is given as (1, 3.5).

The coordinates of J are (6, -2).The midpoint is between the letters G and J.Let, G's coordinates are (x, y)

Then,

(1, 3.5) = [(6 + x)/2, (-2 + y)/2]

So,

1 = (6 + x)/22 = 6 + xx = 2 - 6x = -4

And,

3.5 = (-2 + y)/23.5 × 2 = -2 + y7 = -2 + yy = 7 + 2y = 9

Therefore, the coordinates of g are (-4, 9).

Know more about coordinates here:

https://brainly.com/question/17206319


#SPJ13

Jaxon will make a plywood table shaped like a rectangular prism that is 2 feet tall and 4 feet long. Once the table is finished, it will be powder coated to make it waterproof. Powder coating costs $0.50 per square foot and Jaxon can only spend $29. What is the maximum width Jaxon can build the table?

A. 8.3
B. 1.1
C. 7.2
D. 3.5

Answers

Using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

What is a rectangular prism?The term "cuboid" can also refer to a rectangular prism. Although it looks like a cube, it is not one. All of its characteristics are the same as a cube's, with the exception that its faces are rectangles as opposed to a cube's square faces. A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.

So, the maximum width can be:

To solve this, we need to take all options in confirmation and do a hit-and-trial method to find the perfect length of the width.The formula for the surface area of a rectangular prism: A=2(wl+hl+hw)

Where, h = 2 feet and l = 4 feet.

(A) When, width = 8.3 feet

A = 2(wl+hl+hw)=2·(8.3·4+2·4+2·8.3) = 115.6115.6 × $0.50 = $57.8

Hence, this option is not correct.

(B) When, width = 1.1 feet

A = 2(wl+hl+hw)=2·(1.1·4+2·4+2·1.1) = 29.229.2 × $0.50 = $14.6

Hence, we need to check more options as it is within the budget of $29.

(C) When, width = 7.2 feet

A = 2(wl+hl+hw)=2·(7.2·4+2·4+2·7.2) = 102.4102.4 × $0.50 = $51.2

Hence, this option is not correct.

(D) When, width = 3.5 feet

A = 2(wl+hl+hw)=2·(3.5·4+2·4+2·3.5) = 5858 × $0.50 = $29

Hence, this is the perfect option.

Therefore, using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

Know more about rectangular prism here:

https://brainly.com/question/26265930

#SPJ13

if a television screen with a length-to-height ratio of 16:9 has an area of 576 square inches, what is its perimeter?

Answers

The perimeter of television is = 100 inches

What is mensuration ?

The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.

Calculation

let the length be 16x and width be 9x

area given = 576 sq. inches

16x * 9 x = 576

144 [tex]x^{2}[/tex] = 576

x = 24/12

x = 2

length = 32

width = 18

perimeter = (32 + 18)*2  =100 inches

learn more about mensuration here :
brainly.com/question/14312097

#SPJ4

Kylie gets an email
account for 7
months. She puts in
$681 in her email
account and she
earns 55% each year
How much interest
will
she earn?

Answers

Kylie gets an interest of $214.48.

What do you mean by interest?

In the fields of finance and economics, interest is the payment of a sum over and above the principle amount to a lender or depositor by a borrower or deposit-taking financial institution at a set rate. Interest is not the same as a charge that the borrower could pay to the lender or another entity. Additionally, it differs from a dividend, which is a payment made to shareholders from a company's profit or reserve, but not at a set rate predetermined in advance, but rather on a pro rata basis as a portion of the rewards received by risk-taking business owners when revenue earned exceeds all costs. In contrast to profit, which is obtained by the owner of an asset, investment, or business, interest is paid to the lender.

Interest earned by Kylie = (55x7)/(100x12) x 681

                                         = 218.48

Hence, Kylie gets an interest of $218.48.

To know more about interests, click on the link

https://brainly.com/question/1173061

SPJ9

Calculate the rise and run to find the slope of each line! Please help me!!!

Answers

Answer:

7/5 I believe, hope this helps!

Coordinates of a parallelogram are P(0,2) Q(4,7) R(8,4) S(4,-1)
what is the area of the parallelogram?

Answers

Answer:

32 square units

Step-by-step explanation:

A plot of the points shows that PQRS is a rectangle.

The length of this is the distance of the segment PQ = distance of segment RS = 6.4 units

The width QR = width PS = 5 units

The area is 5 x 6.4 = 32 square units

Lengths are calculated as follows

Finding length of PQ using distance formula:
[tex]\overline{PQ} = \sqrt{(4-0)^2 + ((7-2)^2}\\\\= \sqrt{4^2 + 5^2}\\\\= \sqrt{16 + 25}\\\\= \sqrt{41}\\\\= 6.4\\[/tex]

Finding length of QR using distance formula:
[tex]\overline{QR} = \sqrt{8-4)^2 + (4 - 7)^2}\\\\= \sqrt{4^2 + (-3)^2}\\\\= \sqrt{16 + 9}\\\\=\sqrt{25}\\\\= 5\\[/tex]

Complete the equation of the line through (-1,6) and (7,2)

Answers

The equation of the straight line is 2y - x +3 = 0 .

A straight line's general equation is y = mx + c, wherein m denotes the line's slope and c its y-intercept.

It is the geometry-related straight line equation that is employed the most frequently. A straight line's equation can be expressed in a variety of ways, including point-slope form, slope-intercept form, generic form, standard form, etc. A solid line is a two-dimensional geometric object that can be stretched to infinity on both ends.

Let us calculate the slope of the line:

slope = (2-6)/(7-(-1))

m= 1/2

Equation of the line =

y - 2 = 1/2 (x-7)

or, 2y -4 = x - 7

or, 2y - x +3 = 0

Therefore the equation of the line is 2y - x +3 = 0.

To learn more about straight line visit:

https://brainly.com/question/28740695

#SPJ1

How long can someone shower to use only 10 gallons of water?​

Answers

Answer:

4 minutes

Step-by-step explanation:

A standard showerhead uses 2.5 gallons a minute, or 25 gallons for 10 minutes, therefore 10/2.5 = 4.

you can expect to use about two gallons of water each minute, equating to 10 gallons over a 5-minute period.

Use the drop-down menus to complete each equation so the statement about its solution is true.

Answers

You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

For no solution,

2x + 9 + 3x + x = 6x

For one solution,

2x + 9 + 3x + x = 15

For infinitely many solutions,

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

For no solution,

2x + 9 + 3x + x = 6x

For one solution,

2x + 9 + 3x + x = 15

For infinitely many solutions,

2x + 9 + 3x + x = 6x + 9

To learn more about information visit Infinity solutions :

brainly.com/question/16797067

#SPJ1

Can anyone give me a hand?

Answers

Answer:

Step-by-step explanation:

I tried to put my hand through the computer but it didn't work! Lol

Anyways,

m<WZY= 70 degrees

35+35= 70

Answer:

70

Step-by-step explanation:

Angle WZX = 35

As ZX is a bisector, it cuts it down the middle and splits it in half. This means that angle WZX is half of the original angle, WZY.

35 * 2 = 70.

8 = 8 (v - 5) is the solution 6 or -10 or -1 or 2 or is none of them the solution

Answers

Answer:

solution is v=6

Step-by-step explanation:

8=8(v-5)

1. expand the brackets

8=8v-40

2. get the v on one side so we +40 on each side

48=8v

3. divide each side by 8 as we want the value of v not 8v

6=v

4. Therefore your final answer is v=6 (solution is 6)

A formula for converting degrees Fahrenheit (F) to degrees Celsius(C) is given by the formula C = 5/9(F -32). Solve the formula for F in terms of C.

Answers

Answer:

F=(9C/5)+32

Step-by-step explanation:

In the image

Keandra is taking a trip to visit her extended family and makes a stop somewhere during her trip. The distance between Cincinnati, where Keandra started, and Dayton, where Keandra made the stop is 54 miles. The distance between Dayton and Toledo, where Keandra’s family lives is 150.2 miles. How far did Keandra travel on her trip? Round to the correct number of significant figures.

Answers

Keandra travelled a total distance of 204.2 miles on her trip

Distance between Cincinnati and Dayton = 54 miles

Distance between Dayton and Toledo = 150.2 miles

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). For instance: - My office and house are 3 kilometres apart.

Total distance travelled by Keandra from Cincinnati to Toledo = Distance between Cincinnati and Dayton + Distance between Dayton and Toledo

= 54 + 150.2

= 204.2 miles

Learn more about distance:

https://brainly.com/question/15172156

#SPJ1

What is x I need help please!

Answers

Answer:

42

Step-by-step explanation:

We set it equal since the equations are equivalent

2x-27=x+15

2x=x+42

X=42

Hopes this help please mark brainliest

x= -28

hope this helps :))

15. A copying service charges a uniform rate for the first one hundred copies or less and a fee
for each additional copy. Nancy Taylor paid $7.00 to make 200 copies and Rosie Barbi paid
$9.20 to make 310 copies.
c. What is the cost of the first one hundred copies?
d. What is the cost of each additional copy?

Answers

The cost of the first hundred copies is $5

The cost of each additional copy is $0.02

What are the costs?

The first step is to form a system of equation using the information that is provided in the question:

100a + [(200 - 100)b] = 7

100a + 100b = 7 equation 1

100a + [(310 - 100)b] = 9.20

100a + 210b = 9.2 equation 2

Where:

a = cost of each of the first hundred copiesb = cost of the additional copies

The two equations formed above would be solved using the elimination method.

Subtract equation 1 from equation 2

110b = 2.2

Divide both sides of the equation by 110: b = 2.2 / 110

b = 0.02

Substitute for b in equation 1:

100a + 100(0.02) = 7

100a + 2 = 7

Combine similar terms: 100a = 7 - 2

Add similar terms: 100a = 5

Divide both sides of the equation by 100 : a = 5 / 100

a = 0.05

Cost of the first hundred copies = $0.05 x 100 =  $5

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

If f(n) = n 2 - n, then f(-4) is _____.

Answers

first f(-4)=-4(2)-(-4)

=-8+4

=-4

answer :-4

fabiana opened a savings account with $14,200 that earns 1.2% simple interest annually. after how many years will the balance of the account be $15,478 ? round to the nearest tenth if necessary.

Answers

After 7.5 years will the balance of the account be $15,478.

Given:

fabiana opened a savings account with $14,200 that earns 1.2% simple interest annually.

here A = 15478 , p = 14,200 , r = 1.2%

Simple interest formula:

A = p(1 + rt)

15478 = 14,200(1 + 1.2%t)

15478 = 14,200 + 14,200(0.012t)

1278 = 170.4t

t = 1278/170.4

t = 7.5 years

Therefore after 7.5 years will the balance of the account be $15,478.

Learn more about the simple interest and savings account here:

https://brainly.com/question/13808621

#SPJ1

tickets for a raffle cost $ 5. there were 832 tickets sold. one ticket will be randomly selected as the winner, and that person wins $ 1600 and also the person is given back the cost of the ticket. for someone who buys a ticket, what is the expected value (the mean of the distribution)?

Answers

The most appropriate choice for expectation will be given by-

Expected value for someone who buys the ticket = $[tex](-1591.2)[/tex]

What is expectation?

At first it is important to know about probability of an event.

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

Suppose x is a random variable with the probability function f(x). suppose

[tex]x_1. x_2,........,x_n[/tex] are the values corrosponding to the actual occurance of the event and [tex]p_1, p_2.,,,, p_n[/tex] be the corrosponding probabilities.

Expectation is given by the formula [tex]p_1x_1+p_2x_2+...+p_nx_n[/tex]

Here,

Total number of tickets = 832

Number of prized tickets = 1

Probability of winning a ticket = [tex]\frac{1}{832}[/tex]

Probability of losing a ticket = [tex]\frac{831}{832}[/tex]

Gain of winning = $(1600 - 5) = $1595

Loss of losing = $(5 - 1600) = -$1595

Expected value for someone who buys the ticket

[tex]1595 \times \frac{1}{832} + (-1595)\times \frac{831}{832}[/tex]

[tex]1595\times(\frac{1-831}{832})\\-1595\times \frac{830}{832}\\[/tex]

$[tex](-1591.2)[/tex]

Expected value for someone who buys the ticket = $[tex](-1591.2)[/tex]

To learn more about expectation, refer to the link:

https://brainly.com/question/24305645

#SPJ4

State which property you would use to solve 8X = 56

Answers

X = 7  divid both sides

8x = 56

8x/8 and 56/8 .





25x = 3 (1 + 8x) + 2
x=7
x = 5
x=2
x = 11

Answers

In the given equation 25x = 3 (1 + 8x) + 2, the value of x is found to be        x = 5 by solving the equation.

What exactly is an equation?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

What are the three kinds of equations?

Linear equations are classified into three types: point-slope, standard, and slope-intercept.

The given equation is :

25x = 3 (1 + 8x) + 2

On solving the equation for x we get,

25x = 3 + 24x + 2

25x - 24x = 5

x = 5

Therefore, the value of x in the given equation 25x = 3 (1 + 8x) + 2 is found to be x = 5.

Learn more about mathematical equations here:

https://brainly.com/question/22688504

#SPJ13

Other Questions
During the Siege of Savannah,ResponsesA Count Casimir Pulaski led American troops to retake the city.Count Casimir Pulaski led American troops to retake the city.B French and American troops failed to retake the city.French and American troops failed to retake the city.C the capital of the state was moved to Atlanta.the capital of the state was moved to Atlanta.D the American patriots prevented the British from victory. find the area of a circle he mikado company has a long-term debt ratio (i.e., the ratio of long-term debt to long-term debt plus equity) of .53 and a current ratio of 1.42. current liabilities are $2,470, sales are $10,690, profit margin is 10 percent, and roe is 15 percent. what is the amount of the firms net fixed assets? Globalization of the economy is increasing because of which of these factors?A. A decrease in demand for resourcesB.Agreements limiting immigrationC.Treaties limiting international tradeD.Advances in internet technology use the product to sum formula to help me solve this problem in trig Please help!Charlee is using her calculator to find the product of two large numbers. Her calculator shows 1.78E12 on the display. Interpret what this means. What are the limitations of democracy which decade saw a revival of the figure of the cowboy in popular culture? I need some help with this. Identify each statement about the middle class in the united states as either correct or incorrect.1. Most U.S. households are middle class.2. The middle class represents a shrinking share of the total U.S. population Which religion teaches that people are born into their position in society based upon their deeds in a previous life?. Cathan and Jakove went out to eat, and the bill for their food was $24.50. If theyleft their server a 20% tip, what was the total cost of their dining experience? * What Are the Rights of a Copyright Owner? What is the estimated probability that at least two of the puppies will befemale?A. 6/10 = 60 %B. 5/10 = 50 % C. 7/10 = 70 % D. 4/10 = 40 % How did reactions to the Whiskey Rebellion differ from reactions to Shays' Rebellion?Owith widespread public support.A Shays' Rebellion was met withB The Whiskey Rebellion was met with widespread public support.O C. The Whiskey Rebellion led to significant government reforms.D Shays' Rebellion launched a nationwide movement. PLEASE I NEED THIS ASAPWhich of the following correctly shows the re-grouping for 36 x 23?30 x 20; 6 x 20; 30 x 3; 6 x 330 x 23; 6 x 20; 30 x 3; 6 x 330 x 20; 6 x 20; 30 x 6; 6 x 330 x 20; 6 x 23; 30 x 3; 6 x 3 a baby learn that when he is hungry, food is provided, and when he is in pain, he is cuddled and comforted. erikson suggests that this baby would be developing a sense of What acceleration would that object need to achieve to create a force of 25 Newtons? Determine whether the value is from a discrete or continuous data set.Number of members present at a meeting is 6Is the value from A) discrete B) continuous What were some of the literary elements, techniques, and structures in "from America's Constitution: a biography"?