Sarah invests £9600 at a simple interest rate of 8% per year.
Work out the value of investment after 3 years.

Answers

Answer 1
The simple interest on the investment can be calculated as follows:
Interest = Principal * Rate * Time
= £9600 * 8% * 3 years
= £9600 * 0.08 * 3
= £2,304

The total value of the investment after 3 years would be the Principal + Interest
= £9600 + £2,304
= £11,904.

Related Questions

Which fee pays for services such as a credit score check, an attorney, and a notary?

Answers

Typically, these services are covered by closing costs associated with a real estate transaction. Closing costs are fees charged by various parties involved in the home-buying process and can include the cost of a credit score check, attorney fees, and notary fees.

A credit score check is often required by a lender as part of the mortgage approval process, and the fee for this service can be included in the closing costs. The fee for an attorney can also be included in closing costs, especially if the attorney is hired to review and explain the closing documents. An attorney can also represent the buyer or the seller during the closing process and advise them of their rights and obligations.

A notary is typically required to witness the signing of legal documents, such as the mortgage or deed, and a notary fee can also be included in the closing costs. The exact amount of each of these fees can vary, and it's common for buyers to receive an estimate of their total closing costs from their lender prior to closing.

It's important to note that closing costs are separate from the down payment and can add several thousands of dollars to the overall cost of buying a home, so it's a good idea for buyers to carefully review their closing cost estimate and understand what each fee covers.

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if rooms revenue is $75,884 and the total number of rooms sold is 662, then the average daily rate is: group of answer choices $114.63 $125.00 $118.75 $136.50

Answers

The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.

The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.

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a tank contains 1000 l of brine with 15 kg of dissolved salt. pure water enters the tank at a rate of 10 lymin. the solution is kept thoroughly mixed and drains from the tank at the same rate. how much salt is in the tank (a) after t minutes and (b) after 20 minutes?

Answers

The salt is in the tank (a) after t minutes is 20 minutes and (b) after 20 minutes there are 150 kg of salt.

Salt in Brine Tank Calculation

Let's call the amount of salt in the tank after t minutes "S(t)".

Since pure water is entering the tank and brine is leaving at the same rate, the volume of the solution in the tank remains constant at 1000 liters.

However, the concentration of salt in the solution is changing over time. At any given time, the amount of salt in the tank can be found by multiplying the volume of the solution by its concentration, which we can call "C(t)".

So, we have:

        S(t) = C(t) * 1000

The rate of change of salt in the tank is equal to the rate at which salt is entering the tank (from the dissolved salt in the brine that is leaving the tank) minus the rate at which salt is leaving the tank (from the brine that is leaving).

        dS(t)/dt = (C(0) - C(t)) * 10

         where C(0) is the initial concentration of salt in the

         brine (15 kg / 1000 liters = 0.015 kg/liter).

We can solve this differential equation to find the concentration of salt in the tank as a function of time. However, this can be a bit complicated, so let's just consider the answer for the specific times asked:

(a) After 20 minutes, we have:

        C(20) = C(0) - (S(20) / 1000 - S(0)) / 10

                  = 0.015 - (S(20) / 1000) / 10

And (b) the amount of salt in the tank after 20 minutes is:

        S(20) = C(20) * 1000

Plugging in the value of C(20) from part (a), we get:

        S(20) = (0.015 - S(20) / 1000 / 10) * 1000

        S(20) = 15 - S(20) / 10

        S(20) = 150

So, after 20 minutes, there are 150 kg of salt in the tank.

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Pls help 20 points hurry plssss I’m begging u

Answers

Answer:

Step-by-step explanation:

1. B

2.D

3.2

4.A,C,D

Answer:

1=b

Step-by-step explanation:

go to the comments for other answers

Describe what moves you could use to create
the transformation of the original image shown
below.
original

Answers

Answer:

Reflection , Reflection

Step-by-step explanation:

when the triangle reflects off the x axis and then reflects along the y axis.

Consider the function g(x)=−(x+1)3−2.

Which ordered pair lies on the inverse of the function?

Answers

The ordered pair that lies on the inverse of the function is (6, -3)

Which ordered pair lies on the inverse of the function?

From the question, we have the following parameters that can be used in our computation:

g(x)=−(x+1)3−2.

Rewrite as

g(x) = −(x + 1)³ − 2

Next, we test the options

Set x = -3

So, we have the following representation

g(-3) = −(-3 + 1)³ − 2

Evaluate the expression

g(-3) = 6

As an ordered pair, we have (6, -3)

So, the ordered pair of the inverse is (6, -3)

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is it possible to obtain a negative value of ss (sum of squares), variance, and standard deviation? why?

Answers

No, it is not possible to obtain a negative value for the ss, variance, or standard deviation. They represent the amount of spread in data, and the values are always positive or zero.

Sum of squares (SS) measures the deviation of each data point from the mean of the set, squared. The formula for SS is:

SS = Σ (X - μ)^2

Variance is the average of the sum of squares, and it is calculated by dividing the SS by the degrees of freedom (n-1), where n is the number of data points in the set:

Variance = SS / (n - 1)

Standard deviation is the square root of variance and it is a measure of how far each data point is from the mean of the set:

Standard deviation = √Variance

Since both variance and standard deviation are based on the sum of squares, which is always non-negative, variance and standard deviation are also always non-negative.

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There are 3 right triangles in the drawing below. They are all similar. Chose the correct
similarity statement.

Answers

The correct similarity of the triangles are JMK ~ LMK ~ JLM (option D)

What is similarity?

Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.

Given that, there are 3 right triangles in the drawing given. They are all similar. we need to identify the correct similarity,

So, from the figure, if we separate each triangle,

We will get,

Triangles JLM, JMK and LMK

If we check,

They are showing true similarity by their figure (refer to diagram attached)

Hence, the correct similarity of the triangles are JMK ~ LMK ~ JLM (correct option is D)

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Help write an expression that represent the voltage

Answers

On solving the provided question, we can say that the equation, we have is [tex]t^2 +5t +6.[/tex]

Which equation is this?

Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol. In this case, 2x4=2.

the equation, we have is V = P/I

[tex]V = \frac{t^3 +9t^2 +26t +24}{t + 4}[/tex]

on dividing

the answer will be [tex]x^3+9x^2+26x +24=t^2 + 5t + 6[/tex]

x = -4

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[tex](x^(2)-xy)/(9y^(2))/(2x)/(3y)[/tex]

Answers

The given expression [tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]is equivalent to (x - y)/18y².

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

[tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]

The given expression is -

[tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]

We can solve further as -

{(x² - xy)/9y²} x {3y/2x}

{x(x - y)/9y²} x {3y/2x}

(x - y)/18y²

Therefore, the given expression [tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]is equivalent to (x - y)/18y².

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What is the mean and standard deviation of the random variable Y (the number of females out of 40 who are color blind)? Answers may be rounded.


mean= 40, standard deviation=.01

mean =.01, standard deviation = 40

mean =0.4, standard deviation = .629

mean = 0.4, standard deviation = .396

We cannot find the mean and standard deviation since the probability distribution table is not given.

Answers

Mean = μ = 0.40

Standard deviation = σ = 0.015

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Female colorblindness proportion = 1%

Male colorblindness proportion = 8%

Female sample size = 40

Male sample size = 20

Hence, We get;

Let us check if the condition np ≥ 10 is satisfied or not,

⇒ np

⇒ 40 × 0.01

⇒ 0.4 < 10

Since, the condition np ≥ 10 is not satisfied the binomial random variable cannot be well approximated by a normal random variable. A larger sample size would be required to satisfy the condition np ≥ 10.

Hence, The mean is,

μ = np

μ = 40*0.01

μ = 0.40

And, The standard deviation is,

σ = √p(1 - p)/n

σ = √0.01(1 - 0.01)/40

σ = 0.015

Thus, We get;

Mean = μ = 0.40

Standard deviation = σ = 0.015

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ermias can paint a room in 8 hours. manuel can paint the same room in 6 hours. how long does it take for ermias and manuel to paint the room if they are working together?

Answers

It takes Ermias and Manuel 3.43 hours to paint the room if they are working together. To find the time it takes for Ermias and Manuel to paint the room together, we can use the formula: 1/rate = time.

The rate is the combined painting rate of both workers, which is equal to the sum of their individual painting rates.

Let's call the time it takes for Ermias and Manuel to paint the room together "T". The combined painting rate of both workers is then 1/T.

The individual painting rates of Ermias and Manuel are 1/8 hours per room and 1/6 hours per room, respectively. Therefore, their combined painting rate is 1/8 + 1/6 = 6/48 + 8/48 = 14/48 hours per room.

Now we can use the formula 1/rate = time to find T:

1/ (14/48) = T

48/14 = T

T = 3.43 hours

So it takes Ermias and Manuel 3.43 hours to paint the room if they are working together.

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24 is what percent of 15

30% of what is 12

80% of what is 160

Answers

Answer:

1.) 160

2.) 40

3.) 200

Step-by-step explanation:

Hoped this helped! =)

1)160
2)400
3) 20
Add oil!

PIC BELOW
PLEASE HELP!! ITS JUST FINDING THE AREA!
Answer question one please

Answers

She does have enough paint.

all you need to do is multiply 11 1/2 and 8 1/2. You do not need to include the area of the door because it is inside the wall’s area already.

11 1/2 * 8 1/2 = 97.75 sq ft

97.75 sq feet is less than 100 sq feet, so Amelia will have enough paint left.

A chemistry class has learned how to read a sensitive high-caliber balance scale (this is not a digital scale). Since most students are very good at reading the scale, the instructor decides it’s time to test their skills. The instructor asks each student to weigh the same 1. 6 ounce bag of Peanut M&Ms, and then records each student’s reading of the balance scale. Which histogram shows the distribution of the students’ balance-scale readings?



a. Histogram I

b. Histogram II

c. Histogram III

d. Histogram IV

Answers

The Histogram shows the distribution of the students’ balance-scale readings is Histogram II.

The distribution of numerical data is roughly shown by a histogram. Karl Pearson was the one who initially coined the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count the number of values that fall into each interval.

The bins are often defined as a series of discrete intervals that don't overlap. The bins (intervals) must be close together and frequently, but not always, have the same size.

When the mean and median are equal, a histogram is said to be symmetrical. A symmetric histogram will be split into two equal halves if we draw a line through its centre. The two parts will be exact replicas of one another. 

Therefore, The Histogram shows the distribution of the students’ balance-scale readings is Histogram II.

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the circumference of a circular pond is 44cm.What is the diameter of the fish pond?

Answers

The pond is circular, so we can apply circle formulas. In this case, we can use the circumference of a circle formula and input the corresponding variable in and solve for the diameter.

Circumference of a circle formula:

C=2πr, where C=circumference and 2r=diameter

We can rearrange the formula using the commutative property of multiplication to get 2r, which 2r=diameter (d):

C=π•2r

Now that we have 2r, we can substitute in d:

C=π•d

We know that C=44cm, so we can substitute it in and solve for d:

(44)=π•D

Divide both sides by π:

44/π=D

14.005≈D

Apply the symmetric property

D≈14.005cm

naruto practices his harmonica 1/4 hour, spends 2/3 hour working on homework and takes another 1/2 hour to do chores everyday. how much longer does naruto spend practicing his harmonica and doing his chores than working on homework?

(1/4 + 1/2) - 2/3

Answers

(1/4 + 1/2) - 2/3 is the question i will be solving for you.

Step by Step:

You always want to start with the parentheses according to the PEMDAS rule. (Parentheses, Exponents, Multiply or Divide, Add or Subtract)

So, you first will do (1/4 + 1/2). They do not have the same denominator so you will find the common denominator.

If we want the denominator to be the same, we know we can do 1/2 × 2/2 because it'll make both denominators the same.
2 × 2 = 4
1 × 2 = 2

Now, our equation is (2/4 + 1/4) - 2/3.

Let's solve the equation in the parentheses.
2 + 1 = 3
The denominator stays 4.

Now, our equation is 3/4 - 2/3.
The denominator are not the same. So, our common denominator is going to be 12.

4: 4, 8, 12
3: 3, 6, 9, 12

To get the fractions to have the same denominator:

3/4 × 3/3 = 9/12
2/3 × 4/4 = 8/12

Now, our equation is 9/12 - 8/12.

9 - 8 = 1
The denominator stays the same.

So, (1/4 + 1/2) - 2/3 = 1/12.

If this doesn't help or I made a mistake, please let me know by commenting below. Leave a like and stars if this helped!

Question 6

10 pts

During a football play, Odell Beckham Jr. Runs a straight route 40 yards up the sideline before

turning around and catching a pass thrown by Eli Manning. On the opposing team, a

defender who started 20 yards across the field from Beckham saw the play setup and ran a

slant towards Beckham What was the distance the defender had to run to get to the spot

where Beckham caught the ball?

Answers

The distance the defender had to run to get to the spot where Beckham caught the ball is 34.6 yards.

Let's call the distance the defender had to run to get to the spot where Beckham caught the ball "d".

Since the defender was running aslant towards Beckham, we can use the Pythagorean theorem to find the distance he had to run. The theorem states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).

If we call the sideline 40 yards, we can set up the equation as follows:

d² + 20² = 40²

Expanding and simplifying:

d² + 400 = 1600

d² = 1600 - 400 = 1200

d = √(1200)

= √(300 * 4)

= √(300) * √(4)

= √(300) * 2

= 10 √(3) * 2

= 20 √3

Rounding to the nearest tenth, we have:

d ≈ 34.6 yards

So, the defender had to run approximately 34.6 yards to get to the spot where Beckham caught the ball.

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Since the equation for both triangles have a2+b2, you can think of two equations for c2 and n2 as in a system of equations. Substitute what a2+b2 equals for the first equation for a2+ b2 give me second equation. After you substitute what equation do you get​

Answers

The equation by substituting first equation in the second equation:

[tex]n^2 - c^2 =0[/tex]

Triangle:

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

The  equation for both triangles have :

[tex]c^2 = a^2 + b^2\\n^2 = a^2 + b^2[/tex]

To write the equation by substituting first equation in the second equation.

Now consider,

[tex]c^2 = a^2 + b^2-------(1)\\n^2 = a^2 + b^2-------(2)[/tex]

Now, Plug the value of equation(2) in (1), we get

[tex]n^2 = c^2[/tex]

[tex]n^2 - c^2 =0[/tex]

Hence, the equation by substituting first equation in the second equation:

[tex]n^2 - c^2 =0[/tex]

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What's the lateral area of the drawing

A. 284m²

B. 232m²

C. 294m²

D. 588m²

Answers

294 cm² is  the lateral area of the drawing .

Describe Area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. Area is the amount of surface a two-dimensional shape can cover, measured in square units. The SI unit of area is the square meter (m2), which is a derived unit.

the lateral surface are square of each side .

                    = 7 cm

          lateral area =  6 * (7)²  = 294 cm²

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1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9 =1​

Answers

Hello,

Answer:

We can start by rationalizing the denominators of each fraction.

For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:

1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)

= (√4 - √5)/(4 - 5)

= (√4 - √5)/(-1)

For the second fraction, we multiply the numerator and denominator by √5 - √6:

1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)

= (√5 - √6)/(5 - 6)

= (√5 - √6)/(-1)

We can do the same for the remaining fractions:

1/√6+√7 = (√6 - √7)/(-1)

1/√7+√8 = (√7 - √8)/(-1)

1/√8+√9 = (√8 - √9)/(-1)

Now we can simplify the expression:

1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9

= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)

= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)

= (√4 - √9)/(-1)

= √9 - √4

= 3 - 2

= 1

Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.

Good luck

Please answer the table

Answers

To start, you must understand what radius and diameter is. Diameter is the full length of something, like the full length across a circle, and radius is simply just half of the diameter. So if you’re given the diameter and you need to find the radius, divide the diameter by 2. If you’re given the radius and need to find the diameter, multiply the radius by 2.

So let’s start:
Radius - Diameter
6cm - 12cm
10cm - 20cm
70cm - 140cm
125cm - 250cm
2.5cm - 5cm
1.8cm - 3.6cm

Hope this helped!

Answer:

*diameter=radius ×2

6cm×2=12cm

*diameter=10 ×2=30cm

*radius=diameter÷2

140cm÷2=70cm

*radius

250cm÷2=125cm

*diameter

2.5m×2=5m

*radius

3.6m÷2=1.8m

An expression to determine the growth rate of a cell is written as 3(1. 25)/5. What would be an approximate form of this expression for all values of t?

3(0. 25)

O 3(1. 05)'

O 3. 05

O 3. 14

Answers

Option A is the correct option

So, the approximate form of the expression for all values of t is 0.75.

The expression 3(1.25)/5 can be simplified to

3/5 * 1.25

= 0.75.

=3(0.25)

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided. Algebra Expression Example: 3x + 9, 5x + 10

To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

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one fruit punch has fruit juice and another is fruit juice. how much of the punch should be mixed with of the punch to create fruit punch that is fruit juice?

Answers

The below calculation allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

To create a fruit punch that is entirely fruit juice, we must calculate the ratio of fruit juice to total punch. To do this, we will use the following formula:

Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100

For example, if we have 10 ounces of fruit juice and 10 ounces of fruit punch, the ratio of fruit juice to total punch is 50%. Therefore, we need to mix 50% fruit juice with 50% punch to create a fruit punch that is entirely fruit juice.

To calculate this for any given amount of fruit juice and punch, we simply plug the numbers into the formula. For instance, if we have 20 ounces of fruit juice and 60 ounces of punch, the ratio of fruit juice to total punch is 25%. Therefore, we need to mix 25% fruit juice with 75% punch to create a fruit punch that is entirely fruit juice.

By using this formula, we can easily determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

We can use the formula Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100 to calculate the ratio of fruit juice to total punch. This allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.

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An arithmetic sequence has a common difference of 125,000. A geometric
sequence has a common ratio of 4. In both sequences, a(1) = 10. Compare the
sequences. How will a(n) compare for both sequences as n increases without bound?

Answers

The nth term in the given AP is given by aₙ = 125000n - 124990 and the nth term in the given GP is given by aₙ = 5×4ⁿ/2

What is arithmetic sequence and geometric sequence?

An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form y=mx+b. A geometric sequence has a constant ratio between each pair of consecutive terms. This would create the effect of a constant multiplier.

Given that, an arithmetic sequence has a common difference of 125,000. A geometric sequence has a common ratio of 4. In both sequences, a(1) = 10.  We asked to compare the sequences,

The formula for AP =

aₙ = a + (n-1)d, d = common difference, a = first term, n = number of terms and aₙ = nth term

The formula for GP =

aₙ = arⁿ⁻¹, r = common ratio, a = first term, n = number of terms and aₙ = nth term

The common difference and first term are, 125000 and 10 respectively,

aₙ = 10 + (n-1)125000

aₙ = 10+1245000n-125000

aₙ = 125000n - 124990

Therefore, nth term in the given AP is given by aₙ = 125000n - 124990

The common ratio and the first term are, 4 and 10 respectively,

aₙ = 10×4ⁿ⁻¹

aₙ = 10×4ⁿ / 4

aₙ = 5×4ⁿ/2

Therefore, nth term in the given GP is given by aₙ = 5×4ⁿ/2

In the AP, nth term will be multiplied to 125000 and the product will be subtracted from 124990, and GP nth term will increase by product of 2.5 and 4ⁿ,

Hence, the nth term in the given AP is given by aₙ = 125000n - 124990 and the nth term in the given GP is given by aₙ = 5×4ⁿ/2

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In the coordinate plane A CDE is translated 3 units right and 2 units down.

Answers

Answer: (3, 1)

Step-by-step explanation:

point D is at (0,3) if it is translated 3 units to the right and 2 units down that means the x value will be added by 3 and the y value will be subtracted by 2

0+3 = 3; 3-2 = 1

D' is at (3,1)

8TH GRADE MATH HELP ASAP
RSTU and VXYZ are quadrilaterals. Given ​RSTU and VXYZ , describe a sequence of rigid motions followed by a dilation with center​ (0,0) that maps RSTU to VXYZ

Answers

Quadrilateral RSTU was rotated, translated and dilated to form quadrilateral VXYZ.

Transformation-
Transformation is the movement of a point from its initial location to new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in the size of a figure to create an image.

Quadrilateral RSTU was rotated, translated and dilated to form quadrilateral VXYZ.

stem-and-leaf displays can be used to multiple select question. observe individual data points. analyze qualitative data. determine central tendency and dispersion. analyze the shape of the data.

Answers

A stem-and-leaf display is a statistical tool used for organizing and displaying data.

It is especially useful for analyzing small data sets and can be used for a variety of purposes. With stem-and-leaf displays, individual data points can be easily observed and analyzed, which is particularly useful for answering multiple-choice questions.

Additionally, stem-and-leaf displays can be used to analyze qualitative data by observing patterns and relationships between data points. By determining the central tendency and dispersion of the data, a stem-and-leaf display can help to provide a clearer understanding of the data set as a whole.

Furthermore, the shape of the data can be analyzed through the use of a stem-and-leaf display, which can be helpful in identifying outliers and skewness. In conclusion, stem-and-leaf displays are a useful tool for organizing and analyzing data and can provide valuable insights into data sets.

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A graduated cylinder that is 24 cm tall can hold 1 L of water.What is the radius of the cylinder?What is the height of the 500 ml mark? The 250 ml mark?Recall that 1 liter(L) is equal to 1,000 milililiters (ml) nad that 1 liter (L) is equal to 1,000 cm cubed.

Answers

The radius of the cylinder will be equal to 112.8 cm.

What is volume?

The capacity of an object is measured by its volume. For instance, a cup's volume is said to be 100 ml if it can hold 100 ml of water in its brim. The amount of space occupied by a three-dimensional object can also be used to define volume.

Given that a graduated cylinder that is 24 cm tall can hold 1 L of water. The radius of the cylinder will be calculated as:-

Volume = 1 L

Volume = 1000000 cm³

πr²l =  1000000 cm³

r² = ( 1000000 / π x 25 )

r² = 12732.4

r = √12732.4

r = 112.8 cm

Therefore, the radius of the cylinder will be 112.8 cm.

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PLEASE HELP ASAP
Proving triangles similar

Answers

The triangles are similar by the SAS(side–angle–side) criteria for triangle similarities.

What is the SAS criteria for triangle similarities

The SAS(side–angle–side) criterion for triangle similarity states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.

Observing the triangles, if the ratio of side lengths 24 and 120 is equal to that of 14 and (14 + 56), then the angles inscribed by the two sides are in both triangles are equal.

24 : 120 = 24/120

24 : 120 = 1/5

24 : 120 = 1: 5

14 : 70 = 14/70

14 : 70 = 1/5

14 : 70 = 1 : 5

In conclusion, the triangles are similar by the SAS(side–angle–side) criteria for triangle similarities

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