The height of a tree is 1200 centimeters. What is the height of the tree in feet? (1 in = 2.54 cm)

Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)

Lucy divides 1.8 into 6 groups of 0.3.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Based on the information, Lucy solves 1.8 ÷ 0.3. This will be:

= 1.8 / 0.3

= 6

In conclusion, Lucy divides 1.8 into 6 groups of 0.3.

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Lucy solves 1.8 ÷ 0.3 using the diagram shown.

Use the drop-down menus to explain her reasoning.

Lucy divides ______

into _______

groups ______

of

The correct formula to find the area of the parallelogram is B) A = 14h

To derive the formula A = 14h for the area of the parallelogram, we need to understand that the base of a parallelogram is one of its sides. In this case, the length of the base is given as 14 centimeters.

The area of a parallelogram is calculated by multiplying the length of the base (b) by the corresponding height (h). In this case, the height is represented as h centimeters.

So, the formula for the area of the parallelogram is A = b × h.

Substituting the given value of the base length (b = 14) into the formula, we get:

A = 14h

Therefore, the correct formula to find the area (A) of the parallelogram in this scenario is:

B) A = 14h

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Iterating through a sequence is done using a for loop. This operates more like an iterator method available in other object-oriented programming languages and differs from other programming languages' for keyword in that regard.

For data abstraction, Python lists use an internal class called an Abstract class.

#same code is usable for any different elements in corresponding lists

names = ["Peter","Bruce","Steve","Tony","Natasha","Clint","Wanda","Hope","Danny","Carol"]

numbers = [100,50,10,1,2,7,11,17,53,-8,-4,-9,-72,-64,-80]

#A loop that will output every other name in the manes list

for p in names:

print(p)

#A loop that will output only the positive numbers in the numbers list

for p in numbers:

if p > 0 :

print(p)

#A loop that will output the sum of all the values in the numbers list

sum = 0

for p in numbers:

sum = sum + p

print("sum of numbers in the list is:",sum)

#A loop that will output only the numbers that are odd

print("Odd numbers are :")

for p in numbers:

if p%2 != 0 and p>0:

print(p)

#A loop that will output only the names that come before "Thor" in the alphabet from the names list

list1 = []

for p in names:

if p[0] <= 'T':

list1.append(p)

for p in list1:

print(p)

#A loop that will find the maximum or minimum value in the numbers list

max_num = numbers[0] #max_num variable that store maximum value currently storing first element of list

min_num = numbers[0] #min_num variable that store minimum value currently storing first element of list

for p in numbers:

if p > max_num:

max_num = p

if p < min_num:

min_num = p

print("maximum value:",max_num)

print("minimum value:",min_num)

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The right question is:

(In Python version 3.8.2) Create a new program in Repl.it called "Lists." Your goal for this program is to create sections of code that will perform different outputs with the list called, names which contains the following values - Peter, Bruce, Steve, Tony, Natasha, Clint, Wanda, Hope, Danny, Carol and the list called numbers which contains the following values - 100, 50, 10, 1, 2, 7, 11, 17, 53, -8, -4, -9, -72, -64, -80. At the beginning of your program, add in any comments and create the two lists. Then create the following:

(1) A loop that will output every other name in the names list.

(2) A loop that will output only the positive numbers in the numbers list.

(3) A loop that will output the sum of all the values in the numbers list.

(4) A loop that will output only the numbers that are odd.

(5) A loop that will output only the names that come before "Thor" in the alphabet from the names list.

(6) A loop that will find the maximum or minimum value in the numbers list. This algorithm requires an additional variable that is assigned to the first element in the list. Then, in a loop compare each element to the variable. If the element is > (for max) or < (for min), assign the variable to the element. After the loop, print the variable.

Include an explanation to describe how the use of this data abstraction (using a list to store the names and a list to store the numbers) manages complexity in the program code. Explain how your code would be different if every name and number were a different variable instead of being stored as one unit in the two lists. You may submit your response on a separate piece of paper or in the top comment section of your program code.

The area of the region bounded by the given curve is found to be  1/(4π) square units.

The given curve is r = 1/θ and the sector is π/2 ≤ θ ≤ 2π.

We need to find the area of the region bounded by this curve in the given sector. Here's how we can do it:

Let's first convert the equation of the curve in terms of x and y coordinates, since we need those for integrating:

We know that

x = r cos θ and y = r sin θ,

so:

\(r = 1/θ\\x = r cos θ \\= (1/θ) cos θ\\y = r sin θ \\= (1/θ) sin θ\)

Therefore, the curve can be expressed as

y = x tan θ, or x = y cot θ.

We need to integrate this curve over the given sector to find the area.

Since the region is unbounded, we can't use polar coordinates.

Instead, we'll integrate with respect to θ, and then with respect to x:

\(∫(π/2)^(2π) ∫0^(1/θ) x dx dθ\)

[since y goes from 0 to 1/θ]

Integrating the inner integral with respect to x:

\(∫(π/2)^(2π) \\∫0^(1/θ) x dx dθ\)

Integrating this with respect to θ:

\(∫(π/2)^(2π) ∫0^(1/θ) x dx dθ\)

\(= 1/2 [(1/π) - (1/(2π))]\)

\(= 1/2 [(2π - π)/(2π²)]\\ = π/(4π²)\\ = 1/(4π)\)

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Answer:

y = 5(3)+3

= 15 +3

= 18

y = 18

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

Step-by-step explanation:

D=90°

E=147°

F= 33°

The value of x is 2 inches, which represents the length of each side of the square.

We can start by setting up the equation using the given expression for the side length and the given area:

(x + 2)² - 16 = 0

Expanding the left side and simplifying, we get:

x² + 4x = 0

Factoring out x, we get:

x(x + 4) = 0

So, either x = 0 or x = -4. However, since x represents a length, it must be positive. Therefore, the only solution is:

x = 0 + 2 = 2

So the value of x is 2 inches.

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The number of mini hotdogs in the combination meal is 4.

The number of pizza rolls in the combination meal is 10.

The variables that you use to write the system are x and (x + 6).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation

We have,

Number of hot dogs = x

Number of pizza = x + 6

Hot dogs calories = 90

Pizza calories = 50

Now,

90x + 50(x + 6) = 860

Solve for x.

90x + 50x + 300 = 860

140x = 860 - 300

140x = 560

x = 560/140

x = 4

We can cross-check.

90 x 4 + 50 x 10 = 860

360 + 500 = 860

860 = 860

Thus,

The number of hot dogs is 4.

The number of pizzas is 10.

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Answer:

a = 4

b = 2√3

Step-by-step explanation:

Here, we want to get the missing side lengths

We start by looking at the values that we are given

from the question, a faces the right-angle and is called the hypotenuse; it is also the longest side

b faces the angle given and is also called the opposite

Lastly, the side marked 2 is the adjacent side

Now, the triangle given is called a 30-60-90 triangle

In a 30-60-90 triangle, the ratio of the sides are given as

1: √3:2

Thus, we have 1 as the adjacent

The opposite would be √3 * 2 = 2 √3 = b

Lastly , a = 2 * 2 = 4

Answer:

C: -7

Step-by-step explanation:

In 3x^2-7, 3 is the coefficient, x is the variable, and -7 is the constant.

The school's profit for selling 120 lunches is $210.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

From the graph, we have (50, 0) and (65, 45).

Here, slope(m)= (45-0)/(65-50)

= 45/15

= 3

Substitute m=3 and (x, y)=(50, 0) in y=mx+c, we get

0=3(50)+c

c=-150

Substitute m=3 and c=-150 in y=mx+c, we get

y=3x-150

Put x=120 in y=3x-150, we get

y=3(120)-150

y=210

Therefore, the school's profit for selling 120 lunches is $210.

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"Your question is incomplete, probably the complete question/missing part is:"

The graph shows a school's profit P for selling x lunches on one day.

PART A: What is the school's profit for selling 120 lunches?

(a)The range of the given set of measurements is 4.

(b)The sample mean of the given set of measurements is approximately 5.625.

(c)The sample variance of the given set of measurements is approximately 2.337768, and the sample standard deviation is approximately 1.529.

(a) The range is the difference between the largest and smallest values in the set of measurements. In this case, the largest value is 8 and the smallest value is 4, so the range is 8 - 4 = 4.

To calculate the range, we subtract the smallest value from the largest value. In this case, the largest value is 8 and the smallest value is 4.

Range = Largest value - Smallest value

Range = 8 - 4

Range = 4

The range provides a simple measure of the spread or dispersion of the data. In this case, the range tells us that the values range from the smallest value of 4 to the largest value of 8, with a difference of 4 between them.

(b) The sample mean, denoted as x, is the sum of all the measurements divided by the total number of measurements.

To calculate the sample mean, we add up all the measurements and then divide by the total number of measurements. In this case, we have 8 measurements.

Sum of measurements = 4 + 4 + 7 + 6 + 4 + 6 + 6 + 8 = 45

Sample mean = Sum of measurements / Total number of measurements

Sample mean = 45 / 8

Sample mean ≈ 5.625

The sample mean represents the average value of the measurements and provides a measure of central tendency.

(c) The sample variance, denoted as s^2, measures the variability or dispersion of the data points around the sample mean. It is calculated as the average of the squared differences between each measurement and the sample mean.

To calculate the sample variance, we first calculate the squared difference between each measurement and the sample mean. Then, we average those squared differences.

Squared difference for each measurement:

(4 - 5.625)^2 = 2.890625

(4 - 5.625)^2 = 2.890625

(7 - 5.625)^2 = 1.890625

(6 - 5.625)^2 = 0.140625

(4 - 5.625)^2 = 2.890625

(6 - 5.625)^2 = 0.140625

(6 - 5.625)^2 = 0.140625

(8 - 5.625)^2 = 5.390625

Sum of squared differences = 2.890625 + 2.890625 + 1.890625 + 0.140625 + 2.890625 + 0.140625 + 0.140625 + 5.390625 = 16.364375

Sample variance = Sum of squared differences / (Total number of measurements - 1)

Sample variance = 16.364375 / (8 - 1)

Sample variance ≈ 2.337768

The standard deviation, denoted as s, is the square root of the sample variance.

Sample standard deviation = √(Sample variance)

Sample standard deviation = √(2.337768)

Sample standard deviation ≈ 1.529

These measures provide information about the dispersion or spread of the data points around the sample mean. A higher variance or standard deviation indicates greater variability in the measurements.

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Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

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Answer:

$40

Step-by-step explanation:

Brian starts at $100, then loses 1/4th of the money,

100/4 = 25,

then you subtract 25 from 100, which gives you 75

With the remaining $75, he spends $15 on girl scout cookies,

75 - 15 = 60

He then has $60 remaining, but while walking home, loses 1/3 of the total amount.

60/3 = 20,

you then subtract 20 from 60, which gives you 40

Therefore, $40 is what is remaining.

Answer:

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

Step-by-step explanation:

We want the form

y = mx + b

5x + 2y =12   Subtract 5x from both side of the equation

2y = -5x + 12  Divide all the way by 2

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

To yield a linear graph, the variables that should be plotted on the horizontal and vertical axes depend on the nature of the process being repeated by the student. If the process involves measuring the dependent variable y for different values of an independent variable x, then x should be plotted on the horizontal (x-axis) and y on the vertical (y-axis). This is because the independent variable is usually plotted on the x-axis, while the dependent variable is plotted on the y-axis. The resulting graph will show how y varies with respect to x, and if the relationship between x and y is linear, the graph will be a straight line.

On the other hand, if the process involves measuring the dependent variable y for different values of another independent variable z, then z should be plotted on the horizontal (x-axis) and y on the vertical (y-axis). This is because in this case, the variable being plotted on the x-axis is still the independent variable, while the dependent variable is still plotted on the y-axis.

In summary, the choice of variables to plot on the horizontal and vertical axes to yield a linear graph depends on the nature of the process being repeated by the student, and whether the process involves measuring the dependent variable y for different values of an independent variable x or another independent variable z.

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Answer:

Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

\(2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}\)

Step 2: simplifying the coefficients of x:

\(2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}\)

Step 3: Adding 1/4 to both sides

\(\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\\)

Step 4: Multiplying both sides by 5/7

\(\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10\)

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

Answer:

c. step 3

Step-by-step explanation:

8/10 = 0.8

Therefore, 0.8 (8/10) is put on the number line shown below.

Answer:

11

Step-by-step explanation:

you do 9 x 7 = 63    84 -63 = 11

HOPE THIS HELPS :3

Answer:

3

Step-by-step explanation

84/ 7 = 12

12-9=3

3+9= 12

12*7=84

Answer:

The answer is 10 quarters and 15 nickels

Step-by-step explanation:

Lets say x equals the number of quarters and y quals the number of nickels. Since there is a total of 25 coins that means that x+y=25. But, the quarter costs 0.25, and the nickel costs 0.05. That means that we have to multiply the number of each coin with their cost. Which leads us to: (x*0.25)+(y*0.05)=3.25. By solving these two equations you'll see that x=10 and y=15.

Given :

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each.

To make a profit they must collect a total of more than $120.

To Find :

Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.

Solution :

Let, number of popcorn sold is p and number of cups of lemonade sold is c.

So, total money earned is :

T = 3p + 2c

Now, it is given that to make a profit they must collect a total of more than $120 i.e total revenue should be greater than $120.

So,

T ≥ $120

3p + 2c ≥ 120

Hence, this is the required solution.

The points with integer coordinates in this rectangular region will be above 50.

You must use graph paper and draw the rectangle. You must draw the picture in order to solve the problem. It is not easy to visualize the rectangle, the coordinates and count the points inside it all at the same time without a picture to help you. You must draw it.


Once you draw it, the vertices are (5,4), (5,-4), (-5,-4) and (-5,4) in the clockwise directions starting from the upper left corner.

Since we are interested in points that are strictly inside the rectangle -4 < y < 4 and -5 < x < 5;
That is y = -3,-2,-1,0,1,2,3 and x = -4,-3,-2,-1,0,1,2,3,4


The points with integer coordinates that are strictly inside the rectangle are then:



(-4,3)   (-3,3),   (-2,3),   (-1,3),   (0,3),   (1,3),   (2,3),   (3,3),  (4,3)
(-4,2)   (-3,2),   (-2,2),   (-1,2),   (0,2),   (1,2),   (2,2),   (3,2),  (4,2)
(-4,1)   (-3,1),   (-2,1),    (-1,1),  (0,1),   (1,1),    (2,1),  (3,1),  (4,1)
(-4,0)   (-3,0),   (-2,0),    (-1,0)   (0,0),   (1,0),    (2,0),   (3,0),  (4,0)
(-4,-1)  (-3,-1),  (-2,-1),  (-1,-1), (0,-1),  (1,-1),  (2,-1),  (3,-1), (4,-1)
(-4,-2) (-3,-2),   (-2,-2), (-1,-2),  (0,-2),  (1,-2),  (2,-2),  (3,-2), (4,-2)
(-4,-3) (-3,-3),   (-2,-3), (-1,-3),  (0,-3),  (1,-3),   (2,-3), (3,-3), (4,-3)

So, The points with integer coordinates in this rectangular region will be above 50.

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The points with integer coordinates in this rectangular region will be above 50.

You must use graph paper and draw the rectangle. You must draw the picture in order to solve the problem. It is not easy to visualize the rectangle, the coordinates and count the points inside it all at the same time without a picture to help you. You must draw it.

Once you draw it, the vertices are (5,4), (5,-4), (-5,-4) and (-5,4) in the clockwise directions starting from the upper left corner.Since we are interested in points that are strictly inside the rectangle -4 < y < 4 and -5 < x < 5;

That is y = -3,-2,-1,0,1,2,3 and x = -4,-3,-2,-1,0,1,2,3,4

The points with integer coordinates that are strictly inside the rectangle are then:

(-4,3)   (-3,3),   (-2,3),   (-1,3),   (0,3),   (1,3),   (2,3),   (3,3),  (4,3)

(-4,2)   (-3,2),   (-2,2),   (-1,2),   (0,2),   (1,2),   (2,2),   (3,2),  (4,2)

(-4,1)   (-3,1),   (-2,1),    (-1,1),  (0,1),   (1,1),    (2,1),  (3,1),  (4,1)

(-4,0)   (-3,0),   (-2,0),    (-1,0)   (0,0),   (1,0),    (2,0),   (3,0),  (4,0)

(-4,-1)  (-3,-1),  (-2,-1),  (-1,-1), (0,-1),  (1,-1),  (2,-1),  (3,-1), (4,-1)

(-4,-2) (-3,-2),   (-2,-2), (-1,-2),  (0,-2),  (1,-2),  (2,-2),  (3,-2), (4,-2)

(-4,-3) (-3,-3),   (-2,-3), (-1,-3),  (0,-3),  (1,-3),   (2,-3), (3,-3), (4,-3)

So, The points with integer coordinates in this rectangular region will be above 50.

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Answer:

C)

Step-by-step explanation:

The correct answer is C: Tony did not use the property correctly because he did not multiply every term on both sides of the equals sign by 1/4.

To solve the equation 4x = 12x + 20, Tony used the multiplicative property of equality but made an error in the application. The correct approach would be to multiply every term on both sides of the equals sign by the reciprocal of the coefficient of x, which is 1/4 in this case.

However, Tony only multiplied one term on each side by 1/4, resulting in equation x = 3x + 20. This action is incorrect because it does not apply the property to every term containing x. To solve the equation correctly, Tony should have multiplied both sides by 1/4, resulting in x/4 = (3x + 20)/4.

Answer:

35⁰

Step-by-step explanation:

180-90-55=35⁰

there is a right angle

The angle sum property of a triangle:

The total measure of the three angles of a triangle is 180°

\(\rm\large\rightarrow \: \: x \: + \: 55 \degree \: + \: 90 \degree \: = \: 180 \degree\)

\(\rm\large\rightarrow \: \: x \: + \: 145 \degree \: = \: 180 \degree\)

\(\rm\large\rightarrow \: \: x \: = \: 180 \degree \: - \: \: 145 \degree \)

\(\rm\large\rightarrow \: \: x \: = \: 35 \degree\)

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Approximately 6 months from now, the user base of the social media site will be around 35,762 users.

To calculate the approximate user base of the social media site 6 months from now, considering a monthly growth rate of 5%, we can use the following formula:

New User Base = Current User Base * (1 + Growth Rate)^Number of Months

In this case, the current user base is 26,670 and the growth rate is 5% (0.05). Plugging these values into the formula for 6 months:

New User Base = 26,670 * (1 + 0.05)^6

Calculating the expression inside the parentheses:

New User Base = 26,670 * (1.05)^6

Evaluating the exponent:

New User Base = 26,670 * 1.34009625

New User Base ≈ 35,762.33

Therefore, approximately 6 months from now, the user base of the social media site will be around 35,762 users.

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Answer:

673,210,000

Step-by-step explanation:

The given number is :

N = 6.7321 × 10⁸

We need to write it into the standard form.

10⁸ = 100000000

It can be calculated as follows :

6.7321 × 100000000 = \(\dfrac{67321 }{10000}\times 100000000\)

= 673,210,000

So, the standard form of the given number is 673,210,000. Hence, the correct option is (c).

The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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