3.1.1) Determine the Accumulated amount for the investment at CAPITEC.
3.1.2) Determine the Accumulated amount for the investment at FNB.
3.1.3) Use the information you worked out to help Lebo decide which bank will give her the better investment. Explain your answer.​

Answer:

Density = number of books over volume of box

Step-by-step explanation:

The formula that can be used to calculate the density of books in the box is:

Density = number of books / volume of box

This formula relates the number of books in the box to the volume of the box, and calculates the density of books per unit volume.Therefore, the correct formula to calculate the density of books in the box is the first one given in the options:

Density = number of books over volume of box

Answer:

Density = number of books over volume of box

Step-by-step explanation:

The inequality that represents Miguel's spending limit is $16.00 ≤ x.

Let x represent the total amount of money Miguel wants to spend. We know he spent $10.49 on popcorn and can spend up to $5.51 on a drink.

To find the inequality, we can add these two amounts together and set it less than or equal to x, since x represents the maximum amount he wants to spend. Mathematically, we can write:

$10.49 + $5.51 ≤ x

Simplifying this inequality, we get:

$16.00 ≤ x

This means that Miguel can spend up to $16.00 in total on the popcorn and drink combined. If he spends more than $16.00, he will have exceeded his limit.

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Answer: 1 1/12

Step-by-step explanation:

so you would subtract 2-1=1

Then you do 1/3-1/4=1/12

The answer would be 1 1/12

UR WELCOME

The missing dimension of the cone is its height, which is approximately 2.5 m when rounded to the nearest tenth.

We can use the formula for the volume of a cone, which is:

Volume = (1/3)πr²h

where r is the radius of the base and h is the height of the cone.

We are given the volume of the cone as 13.4 m³ and the radius as 3.2 m. Substituting these values into the formula, we get:

13.4 = (1/3)π(3.2)²h

Multiplying both sides by 3 and dividing by π(3.2)², we get:

h = 3 × 13.4 / π(3.2)²

h ≈ 2.5 m

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Answer:

[tex]\frac{\sqrt{202} }{9}[/tex] OR ≈ 1.57919

Step-by-step explanation:

tanθ = opp/adj

opp/adj = 11/9

hyp = [tex]\sqrt{202}[/tex]

secθ = 1/cosθ

cosθ = [tex]\frac{9}{\sqrt{202} }[/tex]

1/cosθ = [tex]\frac{1}{\frac{9}{\sqrt{202} } }[/tex]

= [tex]\frac{\sqrt{202} }{9}[/tex] or ≈ 1.57919

Answer:

Step-by-step explanation:

Answer:

(x^2−2xy+y^2)−z^2

⇒[x(x−y)−y(x−y)]−z^2

⇒(x−y)(x−y)−z^2

⇒(x−y)^2−z^2

⇒[(x−y)+z][(x−y)−z]

⇒(x−y+z)(x−y−z)

The x-intercept is (4.5, 0) and  y-intercept is (0, -1) for the given function.

What are intercepts ?

Intercepts are the points at which a curve intersects with the x-axis and y-axis on a coordinate plane. The x-intercept is the point where the curve intersects with the x-axis, and its y-coordinate is zero. The y-intercept is the point where the curve intersects with the y-axis, and its x-coordinate is zero. The intercepts provide useful information about the behavior and properties of a curve, such as its roots and symmetry.

According to the question:

To find the x-intercept, we need to set y = 0 and solve for x:

[tex]0 = log(2x + 1) - 11 = log(2x + 1)10 = 2x + 19 = 2xx = 4.5[/tex]

Therefore, the x-intercept is (4.5, 0).

To find the y-intercept, we need to set x = 0 and evaluate the function:

[tex]f(0) = log(2(0) + 1) - 1[/tex]

= 0 - 1[tex]= log(1) - 1[/tex]

= -1

Therefore, the y-intercept is (0, -1).

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The total number of hours is 30 hours as the sum of 7/8 and 3/8 comes out to be 30 hours.

1) We know that there is a total of 24 hours in a day.

therefore, 7/8 hours of Wednesday =

number of hours in a day = 24

number of hours every Wednesday = 7/8

= 7/8 x 24 hours

= 7 x 3 hours

= 21 hours

7/8 hours every Wednesday means 21 hours every Wednesday.  

2) We know that there are a total of 24 hours in a day;

therefore, 3/8 hours of Friday =

number of hours in a day = 24

number of hours every Friday = 3/8

= 3/8 x 24 hours

= 3 x 3 hours

= 9 hours

3/8 hours every Friday means 9 hours every Friday.

therefore, the total number of hours = 21 + 9 = 30

The total number of hours is 30 hours as the sum of 7/8 and 3/8 comes out to be 30 hours.

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A candidate's final multiple score main answer can have a maximum of three cumulative Pass Not Advanced (PNA) points applied to it.

PNA points are a form of assessment for a candidate's answers to multiple-choice questions.

They are awarded when the candidate selects an answer that is not necessarily wrong, but does not go into sufficient depth or demonstrate the required level of understanding.

Each PNA point is worth a fraction of a mark, with a total of three PNA points making up one mark of the candidate's final multiple score main answer.

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Ronaldo's family drove a total of 6.90 kilometres to get from their house to the store.

To determine the total distance Ronaldo's family drove, we need to add the distance from their house to the gas station and the distance from the gas station to the store. We can write this as:

[tex]4 6/10 km + 2 30/100 km[/tex]

To add these two distances, we need to find a common denominator for the fractions. The smallest common denominator for 10 and 100 is 100, so we can convert the first distance to an equivalent fraction with a denominator of 100:

[tex]4 6/10 km = 4 60/100 km = 4.60 km[/tex]

Then we can add the two distances:

[tex]4.60 km + 2.30 km = 6.90 km[/tex]

Therefore, Ronaldo's family drove a total of 6.90 kilometres to get from their house to the store.

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1. The amount of medication to be given is 99.25 mg.

2.The amount of 1.985 mL medication should be injected.

To answer the given question, let's follow the steps mentioned below.

1. Convert the weight of the patient from pounds to kilograms.
    175 pounds = 79.4 kilograms

2. Multiply the patient's weight in kilograms by the ordered dosage.
    1.25 mg/kg × 79.4 kg = 99.25 mg

Therefore, 99.25 mg of medication is required

1. Find the number of milliliters (mL) required to deliver the medication dosage.
      The concentration of the drug is 100 mg/2 mL.
      100 mg/2 mL ÷ 1 = 50 mg/m

2. Divide the total amount of medication required by the concentration of the drug.
      99.25 mg ÷ 50 mg/mL = 1.985 mL

Therefore, 1.985 mL of the medication should be injected.

Note:

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The correct answer is (A) r² - 2rs +s² which is a square of a Binomial.

What exactly are binomials?

In algebra, a binomial is a polynomial which consists of two terms. The terms may be separated by a plus or minus sign. The general form of a binomial is:

ax + b

where "a" and "b" are constants and "x" is the variable. A binomial can be added, subtracted, multiplied, and divided using algebraic operations. Binomials are commonly used in algebra to represent and solve problems involving two quantities or variables.

Now,

The correct answer is (A) r² - 2rs +s².

This is a perfect square trinomial, which can be written as (r - s)².

Option (B) c² + d² is not a binomial, it is the sum of two squares.

Option (C) 16x² - 25y² is a difference of two squares, which can be written as (4x + 5y)(4x - 5y).

Option (D) d² - de + e² is also a perfect square trinomial, but it cannot be written as the square of a binomial.

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There are 3 adults in the family by using the method of substitution and elimination.

Substitution is a method used in mathematics to replace one or more variables in an equation or expression with a value or expression that is equivalent to the variable(s). This is done in order to simplify an equation or expression or to solve for a variable.

Elimination is a method used in mathematics to solve a system of equations by eliminating one variable. This method involves manipulating the equations in such a way that one of the variables is eliminated, leaving a simpler equation with only one variable that can be solved easily.

In the given question,

Here's how we can solve for x, the number of adults:

Multiply the first equation by 2 to get rid of the coefficient of x in the second equation:

12x + 10y = 56

10x + 14y = 58

Subtract the first equation from the second equation to eliminate y:

10x + 14y - (12x + 10y) = 58 - 56

-2x + 4y = 2

Divide both sides by -2 to isolate x:

x - 2y = -1

x = 2y - 1

Substitute x = 2y - 1 into one of the original equations (let's use the first one) and solve for y:

6x + 5y = 28

6(2y - 1) + 5y = 28

12y - 6 + 5y = 28

17y = 34

y = 2

Substitute y = 2 into the equation x = 2y - 1 to solve for x:

x = 2(2) - 1

x = 3

Therefore, there are 3 adults in the family.

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The option that would result in the smallest margin of error in estimating the mean salt content, u, is 95% confidence, n = 50. The correct answer is Option D.

The margin of error is the amount by which a statistic is expected to differ from the true value of the population parameter. The interval estimate is calculated with the help of a margin of error. The margin of error and the interval estimate are inversely related to each other. If we want a small margin of error, we must increase the sample size.

The confidence level is the likelihood that a population parameter will fall within a specified range of values. The confidence level is determined by the sample size and margin of error. The sample size and margin of error are directly related to each other. When the sample size is smaller, the margin of error is larger. When the sample size is larger, the margin of error is smaller.

The margin of error is the highest at a confidence level of 50%. In general, as the confidence level increases, the margin of error decreases, and vice versa. As the sample size increases, the margin of error decreases. It follows that a 95% confidence level, n = 50 would yield the smallest margin of error in estimating the mean salt content, u. Hence, option D) 95% confidence, n = 50 would result in the smallest margin of error in estimating the mean salt content, u.

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The best type of inspection to use depends on the nature of the purchase. Each type of inspection has its own advantages and disadvantages, and should be chosen based on the requirements of the product and the level of risk associated with the inspection.

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22.8 units make up the perimeter of ΔSTR (rounded to one decimal place).  

Given that ΔHIJ is similar to ΔSTR and we know the lengths of the corresponding sides, we can find the scale factor between the two triangles as follows:

HI / ST = 5 / 10 = 1/2

IJ / SR = 4 / 12 = 1/3

JH / TR = 6 / 8 = 3/4

The scale factor between the two triangles is 1/2 (the smallest of the three ratios).

To find the perimeter of ΔSTR, we need to know the lengths of its corresponding sides.

We can use the scale factor to find these lengths:

ST = 10, so SR = ST × (IJ / HI) = 10 × (4 / 5) = 8

TR = 8, so TR = TR × (JH / HI) = 8 × (3 / 5) = 24/5

RS = 12, so ST = RS × (IJ / JH) = 12 × (4 / 6) = 8

Now we can add up the lengths of the sides of ΔSTR to find its perimeter:

Perimeter of ΔSTR = ST + SR + TR = 10 + 8 + 24/5 = 50/5 + 40/5 + 24/5 = 114/5

Therefore, the perimeter of ΔSTR is 22.8 units (rounded to one decimal place).

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Correct question:

ΔHIJ is similar to ΔSTR. What is the perimeter of ΔSTR? If ST=10, TR=8, RS=12 and HI=5 IJ=4 JH=6.

In cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. One such method is called standardization.

Cluster analysis is a data mining approach that is widely utilized in data processing, image analysis, and other data-based analytics applications. It groups items that have comparable characteristics into clusters by separating them from other objects that do not share the same features.

Standardization is the process of converting variables with various scales to a common scale so that they can be compared fairly.

Standardization involves transforming all of the variables into comparable units of measurement by converting them into z-scores. This allows for the comparison of values without being affected by the different units of measurement.

The method that can be used to reduce bias due to the difference in units of measurement in cluster analysis is standardization, which converts variables with various scales to a common scale so that they can be compared fairly. This ensures that each variable contributes equally to the distance between the clusters.

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The correct interpretation of the 99 percent confidence interval (22.5, 28.7) is B: We are 99 percent confident that the mean level of the contaminant in the sample is between 22.5 ppb and 28.7 ppb.

This does not indicate that the mean level of the contaminant in all the water in the region is necessarily between 22.5 ppb and 28.7 ppb.

Confidence intervals provide an estimate of the population mean based on a sample. In other words, they indicate the range of values that are likely to include the true mean of the population. Therefore, the interval (22.5, 28.7) indicates that we are 99 percent confident that the mean of the sample (which is used to estimate the true population mean) lies between 22.5 ppb and 28.7 ppb. However, this does not guarantee that the true population mean (i.e., the mean of all the water in the region) lies between 22.5 ppb and 28.7 ppb.

The other answers are incorrect because they do not reflect the fact that the interval provides an estimate of the population mean based on a sample.

Answer A is incorrect because it states that all of the water in the region must contain a level of the contaminant between 22.5 ppb and 28.7 ppb, which is not necessarily true.

Answer D is incorrect because it states that there is a 0.99 probability that the mean of the sample is between 22.5 ppb and 28.7 ppb, when in reality the interval indicates that we are 99 percent confident that the mean of the sample is between 22.5 ppb and 28.7 ppb. Finally,

Answer E is incorrect because it states that there is a 0.99 probability that the true population mean (i.e., the mean of all the water in the region) is between 22.5 ppb and 28.7 ppb, which is not necessarily true.

In summary, the correct interpretation of the 99 percent confidence interval (22.5, 28.7) is that we are 99 percent confident that the mean level of the contaminant in the sample is between 22.5 ppb and 28.7 ppb.

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[tex]10 + 9 + 2 + 4 = 25[/tex] possible outcomes

[tex]25 - 4 = 21[/tex] outcomes that are not green

[tex]\dfrac{21}{25}[/tex] chance that you don’t choose green

[tex]\frac{21}{25}=\bold{84\%}[/tex]

Answer:

x > 8

Step-by-step explanation:

-6x + 18 < 2 - 4x

-2x + 18 < 2

-2x < -16

x > 8

Answer:

There are 13 hearts in a deck of cards, so the probability of drawing a heart on the first draw is 13/52. After the first heart is drawn, there are 12 hearts left in the deck out of a total of 51 cards, so the probability of drawing another heart is 12/51. This process continues until we have drawn 4 hearts and 1 spade. Therefore, the total number of ways to draw 5 cards with 4 hearts and 1 spade is:

(13/52) x (12/51) x (11/50) x (10/49) x (13/48) x 5!

The factor of 5! accounts for the fact that the 5 cards can be drawn in any order. Simplifying the expression above, we get:

(13/52) x (12/51) x (11/50) x (10/49) x (13/48) x 120 = 0.000495 or approximately 1 in 2,020 ways.

Therefore, there are approximately 2020 ways to draw 5 cards from a regular deck of cards and get 4 hearts and 1 spade.

There are 54,145,200 ways to draw 5 cards and get 4 hearts and 1 spade from a regular deck of cards.

There are 13 hearts in a deck of cards, so the probability of drawing a heart on the first draw is 13/52 or 1/4. The probability of drawing another heart on the second draw, given that one heart has already been drawn, is 12/51. The same goes for the third and fourth draws. The probability of drawing a spade on the fifth draw is 13/50.

To calculate the number of ways to draw 4 hearts and 1 spade, we need to multiply the number of ways to choose 4 hearts from 13 (13 choose 4 or 715) by the number of ways to choose 1 spade from 13 (13 choose 1 or 13) and then multiply that by the number of ways to arrange those 5 cards (5!). So, the total number of ways is:

715 * 13 * 5! = 54,145,200

Therefore, there are 54,145,200 ways to draw 5 cards and get 4 hearts and 1 spade from a regular deck of cards.

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Answer:

x = 8

y = 12

Step-by-step explanation:

m∠A = sin⁻¹(9/15) = 36.87⁰

cos36.87 = y/15

y = 15(cos36.87) = 12

sin36.87 = 12/(12+x)

12 + x = 12/(sin36.87)

x = 12/(sin36.87) - 12 = 8

There are 5²⁵ possible ways to select 25 cans of soda from 5 types, while there are [5¹⁸] (25 choose 7) possible ways to select 25 cans with at least 7 Dr. Peppers, and only [3²²] (25 choose 3) possible ways to select 25 cans with only 3 Dr. Peppers available.

(a) Since there are five types of soda and we are selecting 25 cans, we can choose any type of soda for each can. Therefore, the number of ways to select 25 cans of soda is 5²⁵.

(b) If we must include at least seven Dr. Peppers, then we can choose the remaining 18 cans from any of the five types of soda (including Dr. Pepper). We can choose 7 Dr. Peppers in (25 choose 7) ways. Therefore, the number of ways to select 25 cans of soda with at least seven Dr. Peppers is (25 choose 7) [5¹⁸].

(c) If there are only three Dr. Peppers available, then we must choose all three Dr. Peppers and select the remaining 22 cans from the four types of soda (excluding Dr. Pepper). We can choose the remaining 22 cans in 4²² ways. Therefore, the number of ways to select 25 cans of soda with only three Dr. Peppers available is 3 [4²²].

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Complete question:

From an unlimited selection of five types of soda, one of which is Dr. Pepper, you are putting 25 cans on a table.

(a) Determine the number of ways you can select 25 cans of soda.

(b) Determine the number of ways you can select 25 cans of soda if you must include at least seven Dr. Peppers.

(c) Determine the number of ways you can select 25 cans of soda if it turns out there are only three Dr. Peppers available.

Answer:

I'm pretty sure it's C. isnnxixiab

Answer:

x = 3, y = 4

Step-by-step explanation:

Substitute 4x - 8 in for y and then solve for x:

4x + 2(4x - 8) = 20

Then, 4x + 8x - 16 = 20 --> 12x = 36 --> x = 3.

Once you have x, you can solve for y.

y = 4x - 8 = 4(3) - 8 = 12 - 8 = 4

So, x = 3, y = 4

Answer:

Step-by-step explanation:

First, we need to determine the cost of making one necklace.

The total cost of supplies is $46 + $30 = $76.

If she makes one necklace, that cost is divided by one, so the cost of making one necklace is $76.

To find the selling price, we need to add a markup of 75%.

Markup = 75% x Cost = 0.75 x $76 = $57

The selling price will be the cost plus the markup:

Selling price = Cost + Markup = $76 + $57 = $133.

Therefore, Layla should charge $133 for each necklace.

The answer is d) 133.04, although it should be rounded to the nearest cent, so the final answer would be $133.

Coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method to enable highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. The side chains of the tetraalkylammonium are modified with the ethylene glycol ether, which is a highly polar solvent, allowing for better solubility in nonaqueous electrolyte solutions. Additionally, the ethylene glycol ether has the ability to modify the stability of the ionic species, preventing aggregation and ensuring the longevity of the battery. This increases the redox capacity and enhances the performance of the flow battery.

The ethylene glycol ether-tetraalkylammonium coupling has been proven to be an effective method for improving the solubility and stability of anthraquinone-based ionic species. For example, it has been observed that the coupling of ethylene glycol ether to anthraquinone-based ionic species enhanced the current density of the battery by more than 3 times. Furthermore, the coupling process has also been found to improve the energy efficiency and storage capacity of the nonaqueous redox flow battery.

Overall, coupling tetraalkylammonium and ethylene glycol ether side chain is an effective method for enabling highly soluble anthraquinone-based ionic species for nonaqueous redox flow battery. This process has been proven to improve the performance of the battery, including current density, energy efficiency, and storage capacity.

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