You will earn R450 in interest ($1500 x 0.10 x 3 = $450). Simple interest is calculated by multiplying the principal by the interest rate and the number of years.
The interest earned on a fixed deposit of R1500 at 10% p.a simple interest for 3 years will be R450.
To calculate the interest earned, we need to use the simple interest formula:
I = P * r * twhere I is the interest earned, P is the principal amount, r is the interest rate and t is the time period.
P = R1500
r = 10%
t = 3 years
I = 1500 * 0.10 * 3
I = R450
The interest rate of 10% per annum is the same for each year, and the interest is calculated on the initial principal, not the accumulated interest from previous years. This is why the formula for simple interest is so simple - the same calculation is applied each year, so the amount of interest earned increases each year, but at a slower rate than with compound interest.
The total amount of interest earned over the 3 years is R450, which is calculated by multiplying the principal by the interest rate and the number of years.
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T/F. The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.
The statement that "The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables" is true.
The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables. It ranges from -1 to +1, with a value of -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and +1 indicating a perfect positive linear relationship. The sign of r indicates the direction of the relationship, with a negative sign indicating an inverse relationship and a positive sign indicating a direct relationship. Thus, the correlation coefficient provides a useful summary of the degree to which two variables are related in a linear fashion.
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what is trig equation solver?
Trigonometry equation solver is used to solve mathematical expression with an equality between two elements containing unknown variables and trigonometric functions.
The relationships between the lengths and angles of triangles' sides are the subject of this area of mathematics. A trigonometric equation is one that has one or more ratios of unknown trigonometric angles. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.
A trigonometric equation is cos2 x + 5 sin x = 0, for instance. The term "solutions of the given trigonometric equation" refers to all feasible values that fulfil the given trigonometric equation.
sin²A + cos²A = 1
sec²A – tan²A = 1
cosec²A – cot²A = 1
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How much is 50 ml in ozs?
50 milliliters (ml) is equivalent to 1.69 fluid ounces (oz). To convert milliliters to fluid ounces, you need to use the conversion factor of 0.03381402 fluid ounces per milliliter.
This means that you can multiply the number of milliliters by this conversion factor to get the equivalent volume in fluid ounces. The conversion between milliliters and fluid ounces is commonly used in the measurement of liquids, especially in cooking and baking recipes.
Some recipes may use milliliters as the standard unit of measurement, while others may use fluid ounces or other units. Being able to convert between different units of measurement is important to ensure accurate measurement and a successful outcome in the recipe.
It's worth noting that fluid ounces are a measure of volume, while ounces can also be a measure of weight. In the United States, fluid ounces are commonly used to measure the volume of liquids, while ounces are used to measure the weight of both solids and liquids.
In summary, 50 milliliters is equal to 1.69 fluid ounces, and understanding how to convert between different units of measurement is important in cooking, baking, and other applications that involve measuring liquids.
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Bao is the oldest of four siblings whose ages are consecutive even integers. If the sum of their ages is 6060, find Bao's age
If the sum of their ages is 60, Bao's age is 18.
Determine number of agesTo find Bao's age, we need to use the information given in the question about the ages of the siblings and the sum of their ages. Let's start by assigning a variable to represent the youngest sibling's age. We'll call this x.
Since the ages are consecutive even integers, we know that the next sibling's age is x + 2, the third sibling's age is x + 4, and Bao's age is x + 6.
Now we can use the information about the sum of their ages to create an equation:
x + (x + 2) + (x + 4) + (x + 6) = 60
Simplifying this equation gives us: 4x + 12 = 60
Subtracting 12 from both sides gives us:
4x = 48
And finally, dividing by 4 gives us:
x = 12
So the youngest sibling is 12 years old. To find Bao's age, we need to add 6 to this value: 12 + 6 = 18
Therefore, Bao's age is 18.
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How do you find the Cholesky decomposition of identity matrix
The Cholesky decomposition of the identity matrix is simply the identity matrix itself
The Cholesky decomposition of the identity matrix is simply the identity matrix itself. To see why this is the case, recall that the Cholesky decomposition of a matrix A is a lower-triangular matrix L such that
A = LL^T.
When A is the identity matrix I, we have I = LL^T.
Since L is lower-triangular, its transpose L^T is upper-triangular. Therefore, the only way for LL^T to be the identity matrix I is for L to also be the identity matrix I.
In summary, the Cholesky decomposition of the identity matrix I is I itself.
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A polytank with one end open has height 90cm and radius of 0.49m. calculate the area of the base, curved surface area and volume of the ploytank
The area of the base is 0.7547 m², the curved surface area is 2.201 m², and the volume is 0.630 m³.
How to calculate the area of the base?To calculate the area of the base, we use the formula for the area of a circle:
Area of base = πr²
where r is the radius of the circle.
Area of base = π(0.49m)²
Area of base = 0.7547 m²
To calculate the curved surface area, we first need to calculate the slant height of the poly tank. We can use the Pythagorean theorem to find this value:
Slant height = √(height² + radius²)
Slant height = √(0.9m² + 0.49m²)
Slant height = 1.05 m
Now we can use the formula for the curved surface area of a cylinder:
Curved surface area = 2πrh
where r is the radius of the cylinder and h is the height of the cylinder.
Curved surface area = 2π(0.49m)(0.9m)
Curved surface area = 2.201 m²
To calculate the volume of the poly tank, we use the formula for the volume of a cylinder:
Volume = πr²h
Volume = π(0.49m)²(0.9m)
Volume = 0.630 m³
Therefore, the area of the base is 0.7547 m², the curved surface area is 2.201 m², and the volume is 0.630 m³.
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you are going to have your hair trimmed. what metric measurement will you use when telling your hairdresser how much to take off the ends?
The metric measurement will you use when telling your hairdresser how much to take off the ends is centimetres (cm).
The decimalized meter-based system of measurement that had been adopted in France in the 1790s was replaced by the metric system. The International System of Units (SI), which was invented/created in the middle of the 20th century with the help of an international standards body, was the historical culmination of the development of these systems.
The term "metrication" refers to the adoption of the metric system. The historical development of metric systems has led to the acceptance of a number of principles. A single base unit of measurement expresses all of nature's essential dimensions. More and more often now, natural principles rather than replicas of physical artifacts are used to define base units.
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how to convert 145 kg to lbs?
The value of measuring mass 145 kilograms to pounds after conversion as per standard measurements is equal to kilograms 319.7 pounds ( round off to one decimal )
Kilograms and pounds are the units which used to measure the mass of the given body.Kilograms and pounds are related in standard form as given below :
1 kilograms = 2.20462 pounds ___(1)
Substitute the value 145 kilograms in (1) for the conversion into pounds form we have :
⇒ ( 145 ) kilograms = ( 145 multiply to 2.20462 ) pounds
⇒ 145 kilograms = 319.67 pounds
Finally ,
145 kilograms = 319.7 pounds ( round off to one decimal )
Therefore, after conversion the given unit of mass kilograms into pounds is 145 kilograms = 319.7 pounds ( round off to one decimal ).
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Solve for the value of Q
1. David wants to do a research project on the number of lightning strikes there have been in his home town of Little Rock Arkansas over the past 50 years to see if it correlated with the amount of rainfall. To do this he needs to access to National Weather Service's database. This is an example of what type of data?
Group of answer choices
Secondary Data
Unstructured Data
Qualitative Data
Discrete Data
2
The Moda Center is holding a concert tonight and the attendance was 17,728/21,000 total seats. This is an example of which type of data?
Group of answer choices
Discrete Data
Continuous Data
Structured Data
External Data
3
Kellog's is doing a survey of their customers on which kind of cereal is their favorite. This is an example of which type of data?
Group of answer choices
Qualitative Data
Quantitative Data
Unstructured Data
Secondary Data
could use help on these
The correct answer is C. The Mode.
What is data in math?Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.
This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.
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A plane is 105 mi north and 196 mi east of an airport. Find x, the angle the pilot should turn in order to fly directly to the airport. Round your answer to
the nearest tenth of a degree.
The angle that the pilot should turn in order to fly directly to the airport is given as follows:
x = 28.2º.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the adjacent side.For the angle x, we have that:
The adjacent side is of 196 mi.The opposite side is of 105 mi.Hence the angle is obtained applying the tangent as follows:
tan(x) = 105/196
x = arctan(105/196)
x = 28.2º.
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Look at this set of 5 numbers:
24 58 24 24 53
How would the mode change if the number 24 were added to the set?
The mode would not change if the number 24 were added to the set, as it is still the number that appears most frequently in the set.
What is a mode in statistics?
In statistics, the mode is the value that appears most frequently in a set of data. In other words, it is the value that occurs with the highest frequency.
For the set of 5 numbers given: 24 58 24 24 53, the mode is 24 because it appears three times, which is more than any other number in the set.
If the number 24 were added to the set, then the set would become: 24 58 24 24 53 24. In this case, the mode would still be 24 because it still appears most frequently, now occurring four times in the set.
Hence, the mode would not change if the number 24 were added to the set, as it is still the number that appears most frequently in the set.
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What is assumed by the homogeneity of variance assumption?
a. The two samples have equal variances
b. The two sample variances are not equal.
c. The two populations have equal variances
d. The two population variances are not equal
Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."
This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.
When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.
However, if the variances are not equal, it can lead to biased and unreliable results.
In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.
Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.
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How to convert 118 lbs to kg?
The converted value of 118pounds to kilograms is equal to ( 53.5239 ) kilograms ( round upto four decimals )
To convert 118 pounds to kilograms :
First write the standard relation between pounds and kilograms:
1 pounds = 0.453592 kilograms
Now multiply by the required value on both the side of the equation to get the converted value,
⇒ 118 pounds = ( 118 × 0.453592 ) kilograms
⇒ 118 pounds = ( 53.523856 ) kilograms
⇒ 118 pounds = ( 53.5239 ) kilograms ( round upto four decimals )
Therefore, the required value of 118 pounds to be converted into kilograms is equal to ( 53.5239 ) kilograms ( round upto four decimals ).
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The price p of a pizza is $6. 95 plus $0. 95 per topping t on the pizza, write a function rule
Answer:
p = 6.95 + (0.95 × t)
Step-by-step explanation:
What is a function rule?A function rule explains how to convert an input value (x) into an output value (y) for any given function.
p = 6.95 + (0.95 × t)Why do we do this?To get the total price (p) we need to add the cost of the pizza itself, and add each topping. The part of the equation (0.95 × t) can solve for the price of each topping, so we add that on.
Its in the form of a picture
Answer:
Below
Step-by-step explanation:
See image.....the perpendicular slope was calculated incorrectly ....
PLS HELP ASAP I WILL GIVE BRAINLIEST
Answer:
Poland lost the highest percentage
Answer:
Poland lost the highest percentage of their country's population in the war
Step-by-step explanation:
In the graph it can be clearly seen that Poland had the highest loss of civilian lives during the entire war.
A store is having a sale on almonds and jelly beans today. The table below shows the amount of each type of food (in pounds) and the total cost (in dollars) of
two purchases today.
First
purchase
Second
purchase
Amount of
almonds
(In pounds)
3
12
Amount of
jelly beans
(In pounds)
5
2
Total cost
(in dollars)
17
23
O
Cost for each pound of almonds is $1.5 and cost for each pound of jelly beans is $2.5.
What is a System of Linear Equations?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Let x be the cost of each pound of almond and y be the cost of each pound of jelly beans.
Then from the first purchase, we have the equation,
3x + 5y = 17
Similarly, from the second purchase, we have,
12x + 2y = 23
So the system of equations are
3x + 5y = 17 and 12x + 2y = 23
Solving these, we will get the values of x and y which is the cost of each pound of almond and jelly beans.
3x + 5y = 17
12x + 2y = 23
Multiplying the first equation with 4, we get,
12x + 20y = 68
Subtracting 12x + 2y = 23 from 12x + 20y = 68,
18y = 45
y = $2.5
Substituting y = 2.5 in any of the equation above, we get,
x = $1.5
Hence the cost for each pound of almond and jelly beans are $1.5 and $2.5 respectively.
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Please answer Q9 parts (a),(b) and (c)
Completely confused
The area of the shaded region is 435.375 mm². The solution has been obtained by using the concept of area of figure.
What is area?
Area is the amount of space a two-dimensional figure takes up. The standard unit of area is the square, which is typically expressed as square inches, square feet, etc.
We are given an area of a square with a quarter circle outlined on it.
Area of shaded region = Area of square - area of quarter circle
So, using this, we get
⇒Area of shaded region = (45 * 45) - 1/4π (45 * 45)
⇒Area of shaded region = 2025 - 506.25π
⇒Area of shaded region = 2025 - 506.25 * 3.14
⇒Area of shaded region = 2025 - 1589.625
⇒Area of shaded region = 435.375 mm²
Hence, the area of the shaded region is 435.375 mm².
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Since, there are multiple questions so, the question answered above is attached below
solve for y. y+2=2x state how many solutions there will be also
Factoriser A(x)=(x+2)^2
Answer:
Below
Step-by-step explanation:
(x+2)^2 is just (x+2)(x+2) factored
Estimate the product by rounding
each number to the nearest ten. Then
find the product.
68 × 321
Estimate:
Actual product:
Answer:
Estimate: 22,400
Actual Product: 21,828
Step-by-step explanation:
To estimate the product of 68 and 321 by rounding to the nearest ten, you can round 68 to 70 and round 321 to 320. Then you can find the product of 70 and 320:
70 × 320 = 22,400
This is an estimate of the actual product.
To find the actual product, you can multiply 68 and 321:
68 × 321 = 21,828
Therefore, the estimate is 22,400 and the actual product is 21,828.
A boat traveled across a lake and back. The trip across took 7 hours. The trip back took 10 hours. The speed of the boat for the first part was 3mph faster than the speed of the boat for the 2nd part. What was the rate of each part? (please include a table of how you got the answer )
Therefore, the speed of the boat for the first part was 10 mph, and the speed of the boat for the second part was 7 mph.
How can you accelerate your math speed?Speed is the measure of how quickly something or someone is moving. You can determine an object's average speed if you know how far it travelled and how long it took. Distance times speed equals speed.
Let's call the speed of the boat for the second part "x" mph. Then, according to the problem, the speed of the boat for the first part is "x+3" mph.
Let's also call the distance across the lake "d" miles.
Using the formula distance = rate × time, we can set up two equations based on the information given in the problem:
For the trip across the lake:
d = (x+3) × 7
For the trip back across the lake:
d = x × 10
Since both equations equal "d," we can set them equal to each other and solve for "x":
(x+3) × 7 = x × 10
7x + 21 = 10x
21 = 3x
x = 7 mph
So the speed of the boat for the second part is 7 mph. To find the speed of the boat for the first part, we can add 3 mph to get:
x+3 = 7+3 = 10 mph
Therefore, the speed of the boat for the first part was 10 mph, and the speed of the boat for the second part was 7 mph.
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18 - (16 • 12) = (18 - 16) • 12 A. True B. False
The value of the expression 18 - (16 • 12) is -174.
Explanation:
To evaluate the expression 18 - (16 • 12), we need to follow the order of operations, also known as PEMDAS. According to PEMDAS, we first perform any calculations inside parentheses, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.
In this expression, we have the operation of multiplication inside parentheses. So, we start by evaluating 16 • 12, which equals 192.
Now, we can rewrite the expression as 18 - 192.
Next, we perform the subtraction, which gives us -174.
Therefore, the value of the expression 18 - (16 • 12) is -174.
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What is the conversion of 152 cm to feet ?
The value of 152 centimeter converted to feet is simply done by dividing the length value by 30.48 so we get 152 cm equal to 4.98 feet.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
Use the following two formulae to translate from cm to feet and inches:
1 cm equals 0.3937 inches.
and
12 inches make one foot.
It goes like this:
70.86614 inches are equal to 180 cm (180 x 0.3937 inches).
60.86614 div. 12 = 5 and 60.86614 mod. 12 = 10.86614
hence, 180 centimetres equal 5 ft. 10.86614 inches.
To have this tool calculate something for you, input 180 cm above.
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what is parameter in statistics
Parameters in statistics is a number that describes a sample, whereas a parameter is a number that describes the entire population (such as the population mean) (e.g., sample mean).
A population in research is the complete group that you are interested in examining. This can refer to a group of individuals (such as all US adults or all employees of a corporation), but it can also refer to a group that includes other kinds of elements, such as things, occasions, organisations, nations, species, and organisms.
A sample is a subset of the entire population. The group of components you actually use to gather data is called a sample.
Each quantifiable attribute of a sample or population can be summarised using statistics and parameters.
The most typical statistic or parameter for categorical variables (such political affiliation) is a proportion.
The mean or standard deviation are frequently reported statistics or parameters for numerical variables (such as height).
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What is a factor tree for 216?
The factor tree shows how 216 can be factored into its prime factors.
216 = [tex]2^3 \times 3^3[/tex]
In order to construct a factor tree for 216, we first identify any two of its components before further decomposing those factors into other factors until we arrive at the prime factorization. One potential factor tree for 216 is shown below:
216
/ \
6 36
/ \ / \
2 3 6 6
/ \ / \
1 3 2 3
Beginning with 216, we can see that it can be divided into two components of 6 and 36, making it divisible by 6. These factors are then further dissected until their prime factorizations are reached, which are:
6 = 2 x 3
36 = 2 x 2 x 3 x 3
We obtain the prime factorization of 216 by combining these prime factors:
216 = 2 x 2 x 2 x 3 x 3x 3
216 = [tex]2^3 \times 3^3[/tex].
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What is another name for a regression line?
A. Line of Best Fit
B. Scatter Plot Line
C. Line Graph
D. Line of the Estimate
The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.
A. Line of Best Fit
A regression line is a statistical tool used to predict the value of a response variable based on the value of one or more predictor variables. It is also known as a line of best fit because it is used to show the best fit of a given data set. The line of best fit is a straight line that best represents the data by minimizing the sum of the squared distances between the observed data points and the line. The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.
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A rectangle garden is enclosed by 60 meters of fencing. The table shows some possible values for the length and width if the yard. If the values for length and area are plotted, what would the graph look like?
1. The Complete table is shown below.
2. The graph likes like parabola whose equation is y= 50x - x².
What is Parabola?Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.
Given:
Length Width Area
10 40 400
20 30 600
25 25 625
35 15 525
40 10 400
So, x+ y= 50
y= 50- x
so, area of figure is
= x (50- x)
= 50x - x²
So, we get parabola which is opened downward.
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question: what is the minimum number of x-intercepts that a polynomial of degree 15 can have? explain. the minimum number of x-intercepts is 1. (type a whole number.) explain. with a positive leading coefficient, an odd-degree polynomial will start negative and end positive. with a negative leading coefficient, an even-degree polynomial will start positive and end 13
The minimum number of x intercepts is 1.
( Table attached)
What is the x-intercept?
The intersection of a function or equation's graph with the x axis is known as the x intercept. This can be compared to a point having a value of 0.
For any given curve, the x-intercept is a coordinate that is plotted on the x-axis. To put it another way, the x-intercept is the value of the x coordinate at the point where the graph crosses the x-axis, or we can say that it is the value of the x coordinate at a point where the value of the y coordinate equals zero.
The minimum number of x intercepts is 1.
With a positive leading coefficient an odd degree polynomial will start negative and end positive. With a negative leading coefficient an odd degree polynomial will start positive and end negative.
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