Use the account statement above to answer the questions that follow. 1.1 Explain the meaning of the negative sign in the balance brought forward in this Statement. (2) (2) (2) (2) 1.2 What is the reason why some digits from the account number have been left out? 1.3 Determine the salary amount, A, paid into Ms Lerato's account on 21/02 2022. 1.4 Calculate the total bank fees charged in March 2022. The bank uses the formula below to calculate the withdrawal fees from the ATM. ATM withdrawal fee = R2,50 + R0,90 per R100 or part thereof. Verify, using the formula if the correct withdrawal fee was charged on 10/03/2022. (3) 1.5 At the end of March, the fixed monthly fee increased from R100,88 to R108,10.By what percentage did the fee increase? Give your answer to 1 decimal place. (3) [14]​

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

y=3

Step-by-step explanation:

(i used point-slope form which is (y1-y2)=m(x1-x2))

(10-y)=7(4-3)

10-y=7

-y=-3

y=3

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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Answer:

84

Step-by-step explanation:

there will be a total of five test scores so we know it will be divided by five.

to get an average score of 80 we can multiply 5*80 to get 400 all the other numbers must equal 400 added up so 400-(78+80+74+84)=x

400-316=x

84=x

Answer:

you would have to score another 84%

First you want to find the sum of all the scores. add them all together and divide by the number of different scores. so this would be 400/5= 80

Answer:

4.5

Step-by-step explanation:

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

Step-by-step explanation:

what is 12/21 + 18/21 + 14/21

(12 + 18 + 14)/21 =

44/21

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer: Hi, the answer would be 150% or in decimal form 1.5 this is an increase. There fore your answere is 1.5 which makes it an increase.

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

See below

Step-by-step explanation:

Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

Answer:

\(8 {x}^{2} - 6x - 5 = x\)

\(8 {x}^{2} - 7x - 5 = 0\)

x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)

= (7 + √(49 + 160))/16

= (7 + √209)/16

= -.4661, 1.3411 (to 4 decimal places)

Answer:

14

Step-by-step explanation:

it just is

Answer:

14

Step-by-step explanation:

median: middle number

1, 2, 7, 13, 14, 17, 18, 18, 20

14

Answer:

Step-by-step explanation:

The answer is A. 16.25cm.

Explanation:-

We know,

The Volume of Prism  =height*width*length;

Here, In the question Height and length is given.

So We have to do a simple calculation to find,width=

=> 5890.625/(14.5*25)

=>16.25 cm .

We don't need to worry about dimensions because all are in the same cm dimensions.

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Answer:

A. 16.25 cm

Step-by-step explanation:

To solve for the volume of a rectangular prism, we would use the formula V = l·w·h, where:

"l" is the base length

"w" is the base width

"h" is the height of the prism

In this problem, we are given the volume, height, and length of the rectangular prism. That means we need to find the value of w, the base width. To do this, we plug our known values into the equation and solve for w.

5,890.625 = (14.5)(25)w

To get w by itself, we first divide each side of the equation by 14.5. Remember that when you divide a number by itself, they cancel out.

(5,890.625)/(14.5) = (14.5)(25)w/(14.5)

406.25 = (25)w

Next, we can divide each side of the equation by 25 to get our answer.

406.25/25 = (25)w/25

w = 16.25 cm

Answer:

40 hot dogs and 90 sodas were sold at the football game.

Step-by-step explanation:

To solve this problem, we can set up a system of linear equations. Let's use:

➽"x" to represent the number of hot dogs sold

➽"y" to represent the number of sodas sold

We are given the following information:

♦The total revenue from hot dogs and sodas is $300.

♦The number of sodas sold is 10 more than two times the number of hot      dogs sold.

From this information, we can create the following equations:

▷\(\tt{3x + 2y = 300}\) (The total revenue from hot dogs and sodas)

▷\(\tt{y = 2x + 10}\) (The number of sodas sold is 10 more than two times the    number of hot dogs sold)

Now, we can solve this system of equations using the substitution method. Substitute the second equation into the first equation:

Simplify and solve for x:

Now that we have the number of hot dogs sold (x = 40), we can find the number of sodas sold by substituting x back into the second equation:

So, 40 hot dogs and 90 sodas were sold at the football game.

________________________________________________________

Number of hot dogs sold = 40

Number of sodas sold = 90

The school earned $300 in total, this confirms our answer.

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________________________________________________________

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

b. 30 > 2d

   15 > d

c. 15/f < 5

   15 < 5f

   5 < f

d. 42 \(\leq\) 50 - m

   42 + m \(\leq\) 50

   m \(\leq\) 8

Answer:

10

Step-by-step explanation:

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Answer: L = 10

Explanation:

The formula is L x W x H

We can do L * 0.5 * 11 = 55

L * 5.5 = 55

L  = 10

I hope this helped!

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Answer:

80+30(n-1)

Step-by-step explanation:

The solution to the total distance covered by Luke is that; It is less than a kilometer

We are given;

Distance from luke's house to skating rink = 0.4 km

Distance from Mark's house to skating rink = 0.25 km

Since luke is walking to mark's house after getting to the skating rink, then;

Total distance covered by luke = 0.4 km + 0.25 km = 0.65 km

In conclusion, total distance covered by luke is less than a kilometer.

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Arraging in ascending order:

6, 9, 14, 16, 31, 32, 37, 43, 45, 47, 53, 56, 62, 66, 71, 80, 82, 88, 92, 93, 95

The ranks of the numbers respectively is from:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21

We are to find the 26th percentile:

We consider the whole number = 5

We find the numbers corresponding to rank 5 and 6

31 corresponds to 5 and 32 corresponds to 6

Then we find the product of the decimal and the differnce between the numbers in the ranks we got:

decimal = 0.46

difference = 32 - 31

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

Step-by-step explanation:

sum of their cubes=0.334125

The ratio of three numbers is 2:3:4.

Let the numbers be 2x, 3x and 4x.

Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3

(8x^3) + (27x^3) + (64x^3) = 99x^3

99x^3 = 0.334125

x^3 = (0.334125) / 99

x^3 = 0.003375

x^3 = (0.15)^3

x = 0.15

Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6

Complete question :

Find the standardized test statistic t for a sample with n = 15, x = 10, s = 0.8, H0: μ = 10.5. Round your answer to three decimal places.

Answer:

−2.420614

Step-by-step explanation:

Given that:

Given that:

n = 10

s = 0.8

X = 15

μ = 15.9

Using the relation :

(x - μ) / (s/√n)

(10 - 10.5) / (0.8/√15)

-0.9 / 0.2065591

= −2.420614

Hence, the standardized test statistic = −2.420614