The simple interest Samuel will have to pay will be 60 Rs.
What exactly is simple interest?
Simple Interest is a simple way for computing interest on a loan or principle amount. Simple interest is a concept that is employed in numerous industries, including banking, finance, and automobiles. When you make a loan payment, the monthly interest is deducted first, followed by the principle amount.
The simple interest formula is as follows:
SI=P*R*T/100
SI stands for simple interest.
P stands for principal.
R is the interest rate (in percentage)
T denotes the length of time (in years)
The following formula is used to compute the total amount:
Amount (A) = Principal (P) x Simple Interest (SI)
Now,
As given principle=1000
rate=12%
time=6 months=1/2 years,
Then interest in 6 months will be = 1000*12*1/2*100
=10*12/2
=10*6
=60
Hence,
The simple interest Samuel will have to pay will be 60 Rs.
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Working out must be shown.
Answer:
Below
Step-by-step explanation:
First ball 1 then second ball makes 2 3 4
First ball2 then second makes a 3 4 5
First ball 3 then second makes a 4 5 or 6
you can see that '4' is the most likely
Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously. She decides not to deposit or withdraw any money after the initial deposit. She uses the formula A = Petto represent her account balance, A, after t years, where r is the rate of interest and P is the beginning balance, or principal. How long will it take for Eva's initial deposit to double?
It take 20 years for Eva's initial deposit to double?.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Eva deposits $2,000 in a savings account with an interest rate of 5% compounded continuously.
Here, Principal amount = $2000
Amount = $4000
Interest rate = 5%
Now, We know that;
⇒ Interest = PRT
Substitute all the values, we get;
⇒ 2000 = 2000 × 0.05 × T
⇒ T = 1/0.05
⇒ T = 100/5
⇒ T = 20 years
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angle B is an acute angle in a right triangle. what is a reasonable approximation for angle B if the ratio for the opposite leg divided by the hypotenuse is 0.96?
Angle B is an acute angle in a right triangle, it must be less than 90 degrees. Therefore, a reasonable approximation for angle B ≈ 76 degrees.
Describe Function?In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.
Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.
Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.
Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.
Let's use the trigonometric ratio for the sine of angle B, which is the ratio of the opposite leg to the hypotenuse:
sin(B) = opposite leg / hypotenuse
We are given that the ratio of the opposite leg to the hypotenuse is 0.96:
opposite leg / hypotenuse = 0.96
So, we can substitute 0.96 for opposite leg / hypotenuse:
sin(B) = 0.96
Now we can use the inverse sine function to find the value of angle B:
B = sin^(-1)(0.96)
Using a calculator, we get:
B ≈ 75.96 degrees
Since angle B is an acute angle in a right triangle, it must be less than 90 degrees. Therefore, a reasonable approximation for angle B is:
B ≈ 76 degrees
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O A C
3. Write three expressions containing exponents so that each expression equals 81.
Three expressions containing exponents so that each expression equals 81 are,
1) 9²
2) 3⁴
3) 8² + 17
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We have to write three expressions containing exponents so that each expression equals 81.
Hence, We get;
Three expressions containing exponents so that each expression equals 81 are,
1) 81 = 9 × 9 = 9²
2) 81 = 3 × 3 × 3 × 3 = 3⁴
3) 81 = 8 × 8 + 17 = 8² + 17
Thus, Three expressions containing exponents so that each expression equals 81 are,
1) 9²
2) 3⁴
3) 8² + 17
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Triangle MNP is an aerial view of Rita’s tent at a campground.
Rita finds that if she rotates her tent 90° clockwise about the origin and then dilates by a scale factor of 3 centered at the origin, she will have the best view of the scenery and more space inside her tent. Explain how to find the new coordinates of Rita’s tent.
The new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3)
What are the coordinates of plane?
A coordinate plane is a framework for graphing and describing points and lines. The coordinate plane is made up of a vertical (y) axis and a horizontal (x) axis. The coordinate plane is divided into four quadrants. The origin is the location where these lines meet (0, 0).
To find the new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin, we need to perform the following steps:
Rotate the original coordinates 90° clockwise: To do this, we swap the x and y coordinates and negate the new x-coordinate. If the original coordinates of the vertices of the triangle are (x1, y1), (x2, y2), and (x3, y3), then the rotated coordinates will be (-y1, x1), (-y2, x2), and (-y3, x3).
Dilate the rotated coordinates: To dilate the rotated coordinates by a scale factor of 3 centered at the origin, we multiply each coordinate by the scale factor. If the rotated coordinates of the vertices of the triangle are (-y1, x1), (-y2, x2), and (-y3, x3), then the dilated coordinates will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3).
Therefore, the new coordinates of Rita's tent after a 90° clockwise rotation and dilation by a scale factor of 3 centered at the origin will be (-3y1, 3x1), (-3y2, 3x2), and (-3y3, 3x3), where (x1, y1), (x2, y2), and (x3, y3) are the original coordinates of the vertices of the triangle.
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What is the conversion of 68 inches to cm?
Answer:
172.72
Step-by-step explanation:
multiple 2.54 and 68
2(x-6)<1/2(12x-8) solve
A solution to this inequality 2(x - 6) < 1/2(12x - 8) include the following: x > -2.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).Next, we would multiply both sides of the inequality by 2 as follows;
2(x - 6) < 1/2(12x - 8)
4(x - 6) < (12x - 8)
4x - 24 < 12x - 8
By collecting like-terms and rearranging the expression, we have:
8 - 24 < 12x - 4x
-16 < 8x
x > -2
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The average salary for first-year teachers is $27,989.
If the distribution is approximately normal with
cr = $3250, what is the probability that a randomly
selected first-year teacher makes these salaries?
A. Between $20,000 and $30,000 a year
B. Less than $20,000 a year
The probability that a randomly selected first-year teacher makes less than $20,000 a year is approximately 0.0071.
What is the probability?
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
To solve this problem, we can use the normal distribution and the standard normal distribution table (also known as the z-table).
Let X be the salary of a first-year teacher. We are given that X is approximately normally distributed with a mean (average) of mu = $27,989 and a standard deviation of sigma = $3250. We want to find the probability that a randomly selected first-year teacher makes certain salaries.
A. Between $20,000 and $30,000 a year
To find the probability that a first-year teacher makes between $20,000 and $30,000 a year, we need to standardize the interval using the z-score formula:
z1 = (20000 - mu) / sigma = (20000 - 27989) / 3250 = -2.45
z2 = (30000 - mu) / sigma = (30000 - 27989) / 3250 = 0.63
Using a standard normal distribution table or calculator, we can find that the probability of a random variable being between z1 and z2 is approximately 0.8461.
Therefore, the probability that a randomly selected first-year teacher makes between $20,000 and $30,000 a year is approximately 0.8461.
B. Less than $20,000 a year
To find the probability that a first-year teacher makes less than $20,000 a year, we need to standardize this value using the z-score formula:
z = (20000 - mu) / sigma = (20000 - 27989) / 3250 = -2.45
Using a standard normal distribution table or calculator, we can find that the probability of a random variable being less than z is approximately 0.0071.
Therefore, the probability that a randomly selected first-year teacher makes less than $20,000 a year is approximately 0.0071.
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how to convert 2.75 inches to mm?
2.75 inches is equal to 69.85 millimeter
To convert 2.75 inches to millimeter, we can use the following formula:
1 inch = 25.4 millimeter
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in feet = conversion factor × The length in meter
Substitute the values in the equation
2.75 inches = 25.4 × 2.75
Multiply the numbers
= 69.85 millimeter
Therefore, 2.75 inches is 69.85 millimeter
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62 high school students took part in the mathematical olympiad. there were 7 fewer first year students than sophomores, two thirds of the number of third year students, and 5 fourth year students. how many students from each grade took part in the competition?
Answer:a = 17
b = 24
c = 16
d = 5
Step-by-step explanation:
a+b+c+d=62
a = b-7
c = 2/3·b
d = 5
a+b+c+d = 62
a-b = -7
2b-3c = 0
d = 5
Row 2 - Row 1 → Row 2
a+b+c+d = 62
-2b-c-d = -69
2b-3c = 0
d = 5
Row 3 + Row 2 → Row 3
a+b+c+d = 62
-2b-c-d = -69
-4c-d = -69
d = 5
d = 5/1= 5
c = -69+d/-4= -69+5/-4= 16
b = -69+c+d/-2= -69+16+5/-2 = 24
a = 62-b-c-d = 62-24-16-5 = 17
a = 17
b = 24
c = 16
d = 5
Bilquis accepted a new job at a company with a contract guaranteeing annual raises. Bilquis will get a raise of $2000 every year and had a starting salary of $35000. Make a table of values and then write an equation for S, in terms of n, representing Bilquis' salary after working nn years for the company
The linear equation for salary will be S=$35000+$2000n where n=no. of years.
What is a linear equation, exactly?
When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.
Now,
Given that Initial salary=$35000
Increment of $2000 every year
Then after n years salary will be
S=35000+2000n
where n=no. of years
hence,
The linear equation for salary will be S=$35000+$2000n.
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Which expressions are equivalent to − � − 5 ( 2 � − 3 ) −f−5(2f−3)minus, f, minus, 5, left parenthesis, 2, f, minus, 3, right parenthesis ?
Answer: -15
Step-by-step explanation:
What is example and or statements in statistics?
Example and or statements in statistics are logic statements used in statistics to describe the probability of events occurring together (and) or separately (or)."
The "and" statement is used to describe the probability of two or more events occurring together (to calculate the joint probability of multiple events).
For example, the probability of rolling a 4 on a fair die and flipping a head on a fair coin is,
P(rolling a 4 AND flipping a head) = P(4) x P(head)
=(1/6) x (1/2) = 1/12 = P(A)
The "or" statement is used to describe the probability of one or more events occurring (to calculate the probability of at least one event).
For example, the probability of rolling a 4 on a fair die or flipping a head on a fair coin is,
P(rolling a 4 OR flipping a head) = P(4) + P(head) - P(A)
= (1/6) + (1/2) - (1/12) = 7/12
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Considerthecircularfaceintheaccompanyingfigure. For each of the matrices a in exercises 24 through 30, draw a sketch showing the effect of the linear transformation t(x⃗) = ax⃗ on this face
Linear transformation of a matrix is discussed below.
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Given is to discuss the linear transformation of a matrix.
The matrix of a linear transformation is a matrix for which T(x) = A(x) for a vector (x) in the domain of T. This means that applying the transformation T to a vector is the same as multiplying by this matrix. Such a matrix can be found for any linear transformation T from [tex]R^{n}[/tex] to [tex]R^{m}[/tex] for fixed value of n and m, and is unique to the transformation.Therefore, linear transformation of a matrix is discussed above.
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Oak City High School ordered jerseys to sell at the
opening game. The school paid $9.25 each for
225 jerseys. Each jersey sold for $15.75. The
school sold 165 jerseys. What percent of the
jerseys did NOT sell? Round to the nearest
percent.
Approximately 27% of the jerseys did not sell.
What is Percentage?
Percentage is a way of expressing a number as a fraction of 100. It is used to describe ratios, proportions, and changes in quantities in terms of a fraction of the whole.
Solution:
The school ordered 225 jerseys and sold 165, so the number of jerseys that did not sell is:
225 - 165 = 60
To find the percentage of jerseys that did not sell, we need to divide the number of unsold jerseys by the total number of jerseys ordered and then multiply by 100:
60 / 225 x 100% = 26.67%
Rounding this to the nearest percent gives: 27%
Therefore, approximately 27% of the jerseys did not sell.
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what is the volume of this figure?
The volume of the figure is 18 cubic units
How to determine the volume of the figureFrom the question, we have the following parameters that can be used in our computation:
The figure
The figure can be divided into two 3-D figures represented below
Cube: side length = 2
Cuboid: 2 by 5 by 1
The volume of the figure is then calculated as
Volume = Volume of cube + Volume of cuboid
So, we have
Volume = 2 * 2 * 2 + 2 * 5 * 1
Evaluate
Volume = 18
Hence, the volume is 18 cubic units
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What is the result 14 times 39 ?
The value of the term 14 times 39 can be expressed as the value of 2.7857.
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.
Or, how do you increase something by 14 to get 39? If "x" in the phrase "14 times what = 39?" is "what," then the equation to use to solve the issue is as follows:
14 • x = 39
which is spelled out as:
14x = 39
In order to get the x alone, we must take the 14 from the left side of the equation. We multiply both sides by 14 to achieve that.
14x/14 = 39/14
39/14 is 2.7857 and 14x/14 equals x, thus our equation will be as follows:
x = 2.7857
Therefore, the result of 14 times what is 39 is 2.7857.
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The dot plot shows the number of chess games won by each of the 20 students in a competition.
:
1
2
The mean is 20.
Number of Chess Games Won
:
What statement about the data is true?
The mean is 5.35.
The mean is 91.
3
The mean is 4.55.
6
7
8
9 10
Answer:25
Step-by-step explanation:
consider the graphs of y= x^2/x-3 and y=m(x+3) M belong to all real numbers find the set of values from such that the two graphs have no intersecting points
Answer:
Step-by-step explanation:
Y=6m/1-m
x=3(m+1)/1-m
Is there an AP Statistics formula sheet?
The AP Statistics formula sheet is illustrated below.
An Advanced Placement (AP) Statistics class, you may be wondering if there is a formula sheet available to help you study and prepare for exams.
The formula sheet includes formulas and equations that are commonly used in statistics, such as measures of central tendency, standard deviation, probability, hypothesis testing, and regression analysis. These formulas are essential for understanding statistical concepts and solving problems in real-world applications.
It's important to note that while the formula sheet is available during the AP exam, it does not include every formula that you will need to know. You will still need to have a solid understanding of statistical concepts and be able to apply them to new situations.
In addition to the formula sheet, it's also helpful to practice working with data sets, analyzing graphs and charts, and interpreting results.
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What is mZ1?
44°
mz1 =
O
1
34°
The value of the missing angle of the diagram above would be = 78°
How to calculate the value of the missing angle?The total interior angle of a triangle = 180°
The value of the available angles given = 44° and 34°
The value of the third angle of the triangle = ?
That is ;
180 = 44+34+?
make ? the subject of formula;
? = 180 -78
? = 102°
But angle of a straight line = 180°
Therefore, <1 = 180-102 = 78°
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Find the sum of the measures of exterior angles, one at each vertex, of an octagon.
180
360
1,080
1,440
Answer:
B. 360
Step-by-step explanation:
A rule of polygons (octagon included) is that the sum of the exterior angles always equals 360 degrees.
create a graph to shoe what the following equation could represent
y=7x
Answer:
Step-by-step explanation:
For y=7x, if y = 2, you have to do the same for x.
Example; 7x = y, 7(2) = (2), 14 = 2, 14,2
(please comment if I did anything wrong)
(PLS HURRY!) On Melissa's 6th birthday, she gets a 2000$ CD that earns 6% interest, compounded. If the CD matures on her 14th birthday, how much money will be available?
Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.
What is Compound Interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -
[tex]A = P(1 + r/n)^(nt)[/tex]
Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).
It is not given how many times per year the interest is compounded, so assume it is compounded annually.
Using these values in the formula -
[tex]A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69[/tex]
Therefore, the value is obtained as $3187.69.
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what is tablespoon to ounces?
There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.
A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.
In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.
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In a recent year, Saudi Arabia produced 8.2 million
barrels of crude oil per day. The United States
produced 6.4 million barrels per day. Use a percent to
state how much more Saudi Arabia produced than the
United States did.
In a recent year, Saudi Arabia produced 8.2 million barrels of crude oil per day, compared to 6.4 million barrels per day for the United States. This was 28% more than what the United States produced.
Saudi Arabia now consumes 1.8 million more barrels of crude oil per day than the United States does. Crude Oil from Saudi Arabia: In January 2023, production was reported at 10,319,000 barrels per day, down from 10,475,000 barrels per day in the previous year.
In November 2022, crude oil production in Saudi Arabia was 10,468 thousand barrels per day, down from 10,957 thousand barrels per day the year before.
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A man walks on a bearing of 307 ° . After a time he turns 90 ° to his right. What is his new bearing?
This means that his new bearing is 323° clockwise from true north, or simply 0°, which is equivalent to facing due north.
What is bearing?A bearing is a direction measured in degrees relative to a fixed reference point, usually true north. In this case, the man's initial bearing of 307° means that he is moving in a direction that is 307 degrees clockwise from true north.
After he turns 90° to his right, he will be facing in a new direction that is perpendicular to his original direction of travel. Turning 90° to the right means he is now facing due north (since 307° + 90° = 397°, which is equivalent to 37° clockwise from true north).
However, bearings are typically measured as angles clockwise from true north, so we need to convert the angle of 37° counterclockwise from true north into a bearing that is measured clockwise from true north.
To do this, we subtract 37° from 360° to get 323°.
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How do you convert 54 Celsius to Fahrenheit?
After converting from Celsius to Fahrenheit , we will get 54 Celsius is equivalent to 129.2 Fahrenheit.
To convert Celsius to Fahrenheit, you can use the following formula:
°F = (°C x 9/5) + 32
In this case, to convert 54 Celsius to Fahrenheit, we can substitute 54 for °C in the formula:
°F = (54 x 9/5) + 32
Simplifying this expression, we can first perform the multiplication and division:
°F = (97.2) + 32
Then we can add 97.2 and 32 to get the final answer:
°F = 129.2
It's worth noting that the Celsius and Fahrenheit scales are both used to measure temperature, but they have different starting points and different degrees of scale. Celsius is based on the freezing and boiling points of water, where 0 degrees Celsius is the freezing point and 100 degrees Celsius is the boiling point at sea level.
Fahrenheit, on the other hand, is based on a system of degrees devised by Gabriel Fahrenheit, with 32 degrees being the freezing point and 212 degrees being the boiling point at sea level.
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Parallelogram UVWX is dilated by a scale factor of
4
4 to form parallelogram U'V'W'X'. Side UV measures
6
6. What is the measure of side U'V'?
Answer:
here's your answer
Step-by-step explanation:
hope it will help you
Please help asap! 10 points!!!
Answer: 2 inches of rain
Step-by-step explanation:
Since Monday has rainfall of 0.50 inches and Tuesday 0.25, we can use this information to solve the final question. Since it rained on Monday the amount of it in three days, we can multiply 0.5 by 3 and get 1.5. For Tuesday it was 2 days so we can multiply 0.25 by 2 and get 0.5. Add them up and you get 2. Put the unit in inches.