Tanisha invested $130 in an account paying an interest rate of 3 1 2 3 2 1 % compounded annually. Julieta invested $130 in an account paying an interest rate of 3 3 4 3 4 3 % compounded monthly. After 18 years, how much more money would Julieta have in her account than Tanisha, to the nearest dollar?

Answers

Answer 1

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount of money after t years, P is the principal amount, r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.

For Tanisha's account, we have:

A = 130(1 + 0.0321/1)^(1*18) = 256.64

For Julieta's account, we have:

A = 130(1 + 0.03743/12)^(12*18) = 300.80

The difference between the two amounts is:

300.80 - 256.64 = 44.16

So, Julieta would have $44 more than Tanisha after 18 years, to the nearest dollar.


Related Questions

which equation best matches the graph shown below ?

which equation best matches the graph shown below ?

Answers

Answer is too right
You know the y intercept is -4 so it’s gotta be on of the top 2. Then I plugged in x=1 and it’s just shy of 6 for the one in the top right which matches the graph.

Determine which expression is equivalent to n x 3​

Determine which expression is equivalent to n x 3

Answers

Answer:

F

Step-by-step explanation:

F gives you the same answer as n x 3 since it’s adding the value together 3 times which is what would happen if you did n x 3

4y-5x=-8
-Step-by-step answer
-Solve for y
-I know the answer I just need the problem solved step-by-step

Answers

Answer:

4y−5x=−8

Step 1: Add -4y to both sides.

−5x+4y+−4y=−8+−4y

−5x=−4y−8

Step 2: Divide both sides by -5.

−5x

−5

=

−4y−8

−5

x=

4

5

y+

8

5

Answer:

x=

4

5

y+

8

5

Step-by-step explanation:

Two sides of a right triangle have lengths of 72 cm and 97 cm. The third side is not the hypotenuse. How
long is the third side?
45 cm
A
B
121 cm
65 cm
25cm ???

Answers

the third side is 25cm

can someone help pls​

can someone help pls

Answers

Answer:

23.2

12

..........................................

                                                                     

80 divided by 192.0!!!!!!!!!!!!!!!

Answers

80/192.0 = 0.416666666666667

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

What is the slope of the linear relationship shown on the graph?
4/3
-4/3
3/4
-3/4

What is the slope of the linear relationship shown on the graph?4/3-4/33/4-3/4

Answers

The slope of the linear graph is - 4 / 3.

How to find the slope of a linear graph?

The slope of a linear graph is the change in the dependent variable with respect tot he change in the independent variable.

The slope is describe as rise over run.

Therefore, the slope can be represented mathematically, as follows;

Hence,

slope = y₂ - y₁ / x₂ - x₁

Therefore, using (0, -2) and (- 3 / 2, 0)

x₁ = 0

x₂ = - 3 / 2

y₁ = - 2

y₂ = 0

Therefore,

slope = 0 + 2 / - 3 / 2  - 0

slope = 2 ÷ - 3 / 2

slope = 2 × 2 / -3

Therefore,

slope = - 4 / 3

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if one response is selected at random, what is the probability the response indicated that the dog is small-sized given that they enjoyed the treat? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Answers

The probability that the response indicated that the dog is small-sized given that they enjoyed the treat is 0.286 (or 2/7) in fraction in the lowest terms.

What is Bayes' theorem?

Bayes' theorem is used to update probabilities of a hypothesis or an event in light of new data or evidence. It is used to calculate the conditional probability of an event based on prior knowledge of the conditions that might be relevant to the event.In the given problem, we have to find the probability that the response indicated that the dog is small-sized given that they enjoyed the treat.

The probability that the dog is small-sized given that they enjoyed the treat is the conditional probability P(S|T), where S is the event that the dog is small-sized and T is the event that they enjoyed the treat. To find the value of P(S|T), we will use Bayes' theorem. Bayes' theorem states that P(S|T) = P(T|S) * P(S) / P(T) where P(T|S) is the probability that they enjoyed the treat given that the dog is small-sized, P(S) is the prior probability that the dog is small-sized, and P(T) is the probability that they enjoyed the treat.

P(S) = 3/7P(T|S) = 2/3P(T) = (2/3 * 3/7) + (1/4 * 4/7) = 18/84 + 4/28 = 1/3

(adding the probabilities of T given S and T given L)Therefore, P(S|T) = (2/3 * 3/7) / (1/3) = 2/7 = 0.285714...Rounding off to the nearest millionth, the probability is 0.286. Therefore, the probability that the response indicated that the dog is small-sized given that they enjoyed the treat is 0.286 (or 2/7) in fraction in the lowest terms.

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3 3.1. Find the Laplace transform of 3.1.1. L{3 + 2t - 4t^3} 3.1.2. L{cosh^23t) 3.1.3. L{3t^2e^-2t)

Answers

The Laplace transform of 3 + 2t - 4t³ is 3/s + 2/s² - 24/s⁴, the Laplace transform of cosh²³t is s/(s²-9), and the Laplace transform of 3t²e(-2t) is 6(s+2)⁻³.

To find the Laplace transform of 3 + 2t - 4t³, we can apply the linearity property of the Laplace transform. The Laplace transform of a constant is simply the constant itself. The Laplace transform of t is 1/s², where s is the complex frequency variable. The Laplace transform of t³ can be obtained using the power rule, which states that the Laplace transform of tⁿ is n!/s(n+1), where n is a positive integer.

3.1.1. L{3 + 2t - 4t³}

L{3 + 2t - 4t³} = 3L{1} + 2L{t} - 4L{t³}

= 3/s + 2/s² - 4(3!)/s⁴

= 3/s + 2/s² - 24/s⁴

3.1.2. L{cosh²³t}

Since the Laplace transform of cosh(at) is s/(s²-a²), we can apply this formula with a = 3 to get:

L{cosh²³t} = s/(s²-3²) = s/(s²-9)

3.1.3. L{3t²e(-2t)}

Using the rule for the Laplace transform of tⁿe(at), which is n!(s-a)⁻(n+1), we substitute n = 2 and a = -2:

L{3t²e(-2t)} = 3(2!)(s-(-2))⁻³

= 3(2!)(s+2)⁻³

= 6(s+2)⁻³

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Cristiano has 42 apples in his bag and his brother has only 16. How many apples should Cristiano give his brother so they both have the same number of apples? ​

Answers

Answer:

13

Step-by-step explanation:

Total number of apples:  42 + 16 = 58

For each brother to have the same number of apples:  58/2 = 29 apples each

Therefore, to calculate the number of apples Cristiano has to give his brother, subtract 29 from the original number of 42 apples:

42 - 29 = 13

Answer:

Cristiano gave 13 apples to his brother.

Step-by-step explanation:

We know that:

Cristiano = 42 applesCristiano's brother = 16 apples

Since Cristiano has more apples than his brother, Cristiano must give his apples to his brother. Let's name Cristiano as C and his brother as B.

=> C - x = B + x=> 42 - x = 16 + x=> 42 + 16 = x + x=> 58 = 2x=> x = 29

This means that when Cristiano has equal apples to his brother, they will have 29 apples.

=> 42 - 29 = Apples given by Cristiano.=> 13 = Apples given by Cristiano

Hence, Cristiano gave 13 apples to his brother.



Mathematicians construct viable arguments and

critique the reasoning of others. Lia claims that

whenever an even number is divided by 2, the quotient

always ends in 1. That is not correct. Critique her

reasoning. What counterexamples can you come up

with? In other words, what are some even numbers tha

when divided by 2, the result does not end in 1?

Answers

Lia's claim that whenever an even number is divided by 2, the quotient always ends in 1 is not correct.

In fact, when an even number is divided by 2, the result will always be another even number. This means that the result will either end in 0, 2, 4, 6, or 8, but never in 1.

For example, if we divide the even number 14 by 2, we get a quotient of 7, which ends in 7 and not in 1. Similarly, if we divide the even number 100 by 2, we get a quotient of 50, which ends in 0 and not in 1. Therefore, there are many counterexamples to Lia's claim that an even number divided by 2 always ends in 1.
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Find the value of x.

Find the value of x.

Answers

Answer:

x=20°

Step-by-step explanation:

X and Z are inscribed with the same arc (40°)

so the value of x and z are the same

X=Z

Z=1/2(inscribed arc)

Z=1/2(40°)

z=20°..... since z=x

X=20°

help again...brainliest

help again...brainliest

Answers

Answer:

A.

Step-by-step explanation:

Atom is the smallest thing g possible and organ is the biggest on that list.

What is the slope between point A (-9, 4) and B ( 3, -2)
I NEED HELP ASAP

a)1/2
b)-1/2
c)2
d)-2
e)3/2

Answers

Slope can be calculated using the formula: m= \(\frac{y2 - y1}{x2 - x1}\)

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = \(\frac{y2 - y1}{x2 - x1}\)

m =\(\frac{4 - (-2)}{(-9)-3}\)

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

Kendall has only quarters and dimes in her pocket. The total value of these coins is $1.50. The equation below can be used to find q, the number quarters, and d, the number of dimes in her pocket. If Kendall has 4 quarters in her pocket, how many dimes are in her pocket? 25g + 10d = 150​

Answers

Answer: We can use the equation to find the number of dimes in Kendall's pocket:

25g + 10d = 150

25 * 4 + 10d = 150

100 + 10d = 150

10d = 50

d = 5

So Kendall has 5 dimes in her pocket.

Step-by-step explanation:

How do you calculate this?

How do you calculate this?

Answers

Answer:

hdwhdbehqj

Step-by-step explanation:

223499

3344rbjee

The markup for both swing sets is 2014% . The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary.

Answers

If the markup for both swing sets is 20 1/4% . The school decides to buy the Adventurers swing set. The selling price of the swing set they are buying is:  $3,674.84.

What is selling price?

Selling price can be defined as the amount a person intend to sell his/her product or the amount a buyer intend to buy a product.

Given data:

Adventurers  selling price = $3056

Thunder Ridge = 4,125

Markup 20 1/4% = 20.25 %

First  step is to find markup  

Markup = 20.25% × 3056

Markup =  $618.84

Now let find the selling price of the swing

Selling price = $3056 + $618.84

Selling price = $3,674.84

Therefore the selling price is the amount of $3,674.84.

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The complete question is:

An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying

Swing Set

Wholesale Price ($)

Adventurers 3,056

Thunder Ridge 4,125

The markup for both swing sets is 20 1/4%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they

are buying? Round to the nearest cent if necessary,

in square $abcd$ with sides of length 4 cm, $n$ is the midpoint of side $bc$ and $m$ is the midpoint of side $cd$. what is the area of triangle $amn$, in $\text{cm}^2$?

Answers

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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-2+3y=9 ; y=2x+7 i need help

Answers

Answer:

Here is your 2 answers.

Step-by-step explanation:

First question: -2+3y=9

step 1 simplify first so now it's 3y-2

step 2 add both sides by 2 now its 3y=11

step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer

Second question:

I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3

-2+3y=9 ; y=2x+7 i need help

What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options. Positive slope negative slope constant slope increasing function decreasing function.

Answers

The relationship between the number of balloons remaining and the number of hats created is 5x + y = 500.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Describe the line representing the relationship between the number of balloons remaining and the number of hats created.

The points are (0, 500) and (100, 0).

Let y be the relationship between the number of balloons remaining and x be the number of hats created.

Then the relation is given as

\(\rm y = mx +c\)

The line passing through (0, 500). Then

\(\rm 500 = m(0) +c\\\\c \ \ \ =500\)

Then the equation will be

\(\rm y = mx + 500\)

The line passing through (100, 0). Then

\(\rm 0 = 100m + 500\\\\m = -5\)

Thus, the equation of a line is 5x + y = 500.

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Simplify: 4x(x² - 3x + 1)

Answers

Answer:

\(4x\left(x^2-3x+1\right)\)

\(Distribute\:parentheses\)

\(=4xx^2+4x\left(-3x\right)+4x\cdot \:1\)

\(\mathrm{Apply\:minus-plus\:rules}\)

\(+\left(-a\right)=-a\)\(=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x\)

\(Simplify\)

\(=4x^3-12x^2+4x\)----------------------------hope it helps...have a great day!!

The area width is 9ft the total is 27ft

Answers

Answer:

3ft

Step-by-step explanation:

because 9 times 3 equal 27

A cone-shaped container has a height of 240 in. And a radius of 150 in. The cone is filled with a liquid chemical. The chemical evaporates at a rate of 12,000 in³ per week. How many weeks will it take for all of the chemical to evaporate? use 3. 14 to approximate pi. Enter your answer in the box.

Answers

Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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If lunch cost $15.70, before tip, and you left $3.14, what %
tip did you leave and what was the total cost of lunch?

Answers

Answer:

20%

$18.84

Step-by-step explanation:

3.14 is what percent of 15.70?

Use the percent-to-dollar conversion (100: 15.70) :

3.14 * 100% / 15.70 =

3.14 / 15.70 * 100% =

1/5 * 100% =

100% / 5 = 20% ==> percent tip

$15.70 + $3.14 = $18.84  ==> Total cost

this is difficult please help I need to know the answer I give more point pls help.​

this is difficult please help I need to know the answer I give more point pls help.

Answers

Answer:

decagon

Step-by-step explanation:

all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation

Please simplify step by step:

5/4a - 2/3b

Answers

Step-by-step explanation:

I guess the simplification is aiming to bring both terms into one fraction with the same denominator (bottom part).

and I assume this expressing is actually

(5/4)×a - (2/3)×b

or

simply

5a/4 - 2b/3

if that is so, then :

the common denominator is the smallest (or lowest) common multiple of 4 and 3.

and that is here simply 12 (there is no smaller number that can both be divided by 4 and by 3 without remainder).

so, we need to bring both fractions to .../12 and then combine them.

how do I do that ?

I multiply each fraction with another fraction that has the overall value 1 (to and bottom numbers are equal) but changes the denominator to 12.

that way I don't change the value of the original fraction, but I only change is appearance.

so, what do I need to multiply 4 with to get 12 ?

right, 3.

that gives us

5a/4 × 3/3 = 3×5a/(4×3) = 15a/12

and what do I need to multiply 3 with to get 12 ?

right, 4.

2b/3 × 4/4 = 4×2b/(3×4) = 8b/12

alright !

now we write the original expression using its new looks :

15a/12 - 8b/12

and that is

(15a - 8b)/12

alternative :

what if the typing was actually correct, and we are dealing with

5/(4a) - 2/(3b)

we still need to bring both fractions to the same denominator.

we know the smallest common multiple of 4 and 3 is 12.

and the smallest common multiple of a and b is ... ab.

so, we need to bring everything the fractions of the form .../(12ab)

again, the same trick, we multiply with fractions of value 1 (to and bottom are equal) but that cover the denominator to the desired common denominator.

what do I need to multiply 4a with to get 12ab ?

well, 3b

so, we get

5/(4a) × 3b/(3b) = 5×3b / (4×3ab) = 15b/(12ab)

and what do we need to multiply 3b with to get 12ab ?

well, 4a.

2/(3b) × 4a/(4a) = 2×4a / (3×4ba) = 8a/12ba = 8a/(12ab)

and together this gives us

(15b - 8a)/(12ab)

The Spring Break-Inn Hotel is trying to make plans for the spring break season. They must decide on the number of beds to place in each room in order to maximize profit. They can put 1, 2, or 3 beds in any room and realize a profit of $90, $115, or $180 respectively. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1.

The decision variables for this model would be:

Let X1 = the number of 1 bedroom rentals

Let X2 = the number of 2 bedroom rentals

Let X3 = the number of 3 bedroom rentals

What would be the constraint(s) to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1?

X3 <= 4X2

3X3 <= 4X2

X2 <= 4X3

2X2 <= 4X3

None of these

Answers

The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:

3X3 <= 4X2

This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.

For example, if there are 10 2 bedroom rentals (X2), the constraint would be:

3X3 <= 4(10)
3X3 <= 40

This means that the number of 3 bedroom rentals (X3) cannot exceed 40.

The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.

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The speed with which utility companies can resolve problems is very important. GTC, the Georgetown Telephone Company, reports it can resolve customer problems the same day they are reported in 75% of the cases. Suppose the 13 cases reported today are representative of all complaints.How many of the problems would you expect to be resolved today? (Round your answer to 2 decimal places.)What is the standard deviation? (Round your answer to 4 decimal places.)What is the probability 10 of the problems can be resolved today? (Round your answer to 4 decimal places.)What is the probability 10 or 11 of the problems can be resolved today? (Round your answer to 4 decimal places.)What is the probability more than 8 of the problems can be resolved today? (Round your answer to 4 decimal places.)

Answers

The expected number of problems to be resolved today is 10, the standard deviation is 1.3693, the probability that 10 problems can be resolved today is 0.2146, the probability that 10 or 11 problems can be resolved today is 0.3246, and the probability that more than 8 problems can be resolved today is 0.816.

To answer these questions, we will use the binomial distribution since we are dealing with a fixed number of independent trials (the 13 cases reported) with only two possible outcomes (resolved or not resolved).

Let's start with the first question:

Expected number of problems resolved today:

E(X) = n * p = 13 * 0.75 = 9.75

So we would expect about 9.75 problems to be resolved today, but since we cannot have a fraction of a problem, we should round this to 10.

Now let's move on to the second question:

Standard deviation:

σ = sqrt(np(1-p)) = sqrt(13 * 0.75 * 0.25) = 1.3693 (rounded to 4 decimal places).

For the third question:

Probability that 10 of the problems can be resolved today:

P(X=10) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) = 0.2146 (rounded to 4 decimal places).

For the fourth question:

Probability that 10 or 11 of the problems can be resolved today:

\(P(X=10 or X=11) = P(X=10) + P(X=11) = (13 choose 10) * (0.75)^10 * (1-0.75)^(13-10) + (13 choose 11) * (0.75)^11 * (1-0.75)^(13-11) = 0.3246 (rounded to 4 decimal places).\)

For the fifth question:

Probability that more than 8 of the problems can be resolved today:

P(X>8) = 1 - P(X<=8) = 1 - (P(X=0) + P(X=1) + ... + P(X=8))

\(= 1 - ∑(13 choose i) * (0.75)^i * (1-0.75)^(13-i), for i=0 to 8.\)

= 1 - 0.0003 - 0.0033 - 0.0191 - 0.0672 - 0.1562 - 0.2529 - 0.2897 - 0.2072 - 0.0881

= 0.816 (rounded to 4 decimal places).

Therefore, the probability more than 8 of the problems can be resolved today is 0.816 (rounded to 4 decimal places).

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stamina 15. how many sides would there be in a convex polygon if the sum of all but one of its interior angles is ?

Answers

Interior Angle is 180n = 375 - x in given question.

What is Angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

To determine the number of sides in a convex polygon given the sum of all but one of its interior angles, we can use the formula:

Sum of interior angles = (n - 2) * 180 degrees,

where n represents the number of sides in the polygon.

In this case, the sum of all but one of the interior angles is missing, so we need to subtract one interior angle from the total sum before applying the formula.

Let's denote the missing interior angle as x. Therefore, the sum of all but one of the interior angles would be the total sum minus x.

Given that the stamina is 15, we can express the equation as:

(15 - x) = (n - 2) * 180

Simplifying the equation, we have:

15 - x = 180n - 360

Rearranging the terms:

180n = 15 - x + 360

180n = 375 - x

Now, we need more information or an equation to solve for the number of sides (n) or the missing interior angle (x).

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Please help.
Graph RST with vertices R(4,1), S(7,3), and T(6, 4) and its image after the glide reflection.
Translation: (x,y) →(x, y-1)
Reflection: in the y -axis.

Answers

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

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