The simple interest amount which applies to the principal given the rate and time as required to be determined is; 18.
What is the simple interest earned on the principal?It follows from the task content that the interest earned on a principal amount of 600 using a rate of 4% per annum over the course of 9 months is to be determined.
Since the interest earned, i is given by the formula;
i = prt
where, p = principal = 600.
r = annual interest rate = 4% = 0.04
t = time = 9 months = 0.75 years.
Hence, the interest earned is;
i = 600 × 0.04 × 0.75
i = 18.
Ultimately, the interest earned is; 18.
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Can someone please help me on this aleks question
In the given parallelogram and considering the information in the figure, we have:
i. m<MJL = 62^o
ii. <M = 67^o
iii. x = 3
Properties of a parallelogram.A parallelogram is a figure which has a pair of its two opposite sides to be equal and parallel. It has some differentiating properties.
Considering the parallelogram and the information given in the figure, we have;
i. m<JLM + m<LMJ + m<MJL = 180^o
51^o + 67^o + m<MJL = 180^o
118 + m<MJL = 180
m<MJL = 180 - 118
= 62^o
m<MJL = 62^o
ii. <M = 67^o (opposite angles of a parallelogram are congruent)
iii. 4x = 12 (opposite sides of a parallelogram are equal)
x = 12/ 4
= 3
x = 3
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The parallelogram have the values for:
angles m∠MJL = 62°, m∠M = 67° and x = 3
How to evaluate for the angles and value of x for the parallelogramConsidering the triangle JKL,
m∠JLK + 67° + 51° = 180° {sum of interior angles of a triangle}
m∠JKL = 180° - 118°
m∠JKL = 62°
m∠JKL and m∠MJL are alternate angles and are equal so;
m∠MJL = 62°
m∠KJM = m∠MJL + m∠KJL
m∠KJM = 62° + 51°
m∠KJM = 113°
m∠M and m∠KJM are adjacent angles so;
m∠M + 113° = 180°
m∠M = 180° - 113° {subtract 113° from both sides}
m∠M = 67°
side KJ is equal to LM, so;
4x = 12
x = 12/4 {divide through by 4}
x = 3
Therefore, the parallelogram have angles m∠MJL and m∠M to be 62° and 67° respectively, and the value of x is equal to 3.
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What are the factored and vertex form of a quadratic relation?
The factored form and the vertex form of the given quadratic equation is given by :
Standard quadratic equation is : ay²+ by + c
Factored form of the quadratic equation is : A ( y - p )( y - q ).
Vertex form of the quadratic equation is : A ( y - h )² + k .
As given in the question,
Let us consider the standard quadratic equation be :
ay²+ by + c
Example : 3x² + 15x + 18
Factored form is :
= 3 (x² + 5x + 6 )
= 3 ( x² + 2x + 3x + 6 )
= 3 ( x + 2 )( x + 3 )
Standard factored form is : A ( y - p )( y - q )
Let ( h ,k ) be the vertex of the quadratic equation ,
Vertex form is given by : A ( y - h )² + k
Therefore, the factored and the vertex form of the given quadratic equation is equal to
Standard quadratic equation is : ay²+ by + c
Factored form of the quadratic equation is : A ( y - p )( y - q ).
Vertex form of the quadratic equation is : A ( y - h )² + k .
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notice that the alternative hypothesis is a one-tailed test. suppose ttest ind method from scipy module is used to perform the test and the output is (3.25, 0.0043). what is the p-value for this hypothesis test?
The P-value for this hypothesis test is 0.00215
The p-value hypothesis test gives a measure of how much evidence is present to reject the null hypothesis. The smaller the p-value, the higher the evidence against the null hypothesis.
Given that:
Null Hypothesis: mu1 = mu2
Alternative Hypothesis: mu1<mu2
Notice that the alternative hypothesis is a one-tailed test
Now, when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).
so, given output ( z=3.25, p=0.0043)
since its one-tailed test:
P-value for this hypothesis test = 0.0043/2 = 0.00215
Therefore, the P-value for this hypothesis test is 0.00215
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WILL GIVE BRAINLIST!!
Answer
Step-by-step explanation:
Which type of graph would be best used to make comparisons of data?
Bar charts or Column charts are best for data comparison. They are easy to read and widely used.
What is graph ?
A graph is a visual representation of data or information, often used to display and compare numerical values. Graphs are used to display data in a way that is easy to understand and interpret. They can be used to show trends, patterns, and relationships between different sets of data.
Bar charts or Column charts are the best types of graph to make comparisons of data. They are particularly useful when you want to compare the values of different categories or groups of data. A bar chart or column chart can be used to compare the values of multiple items within a single dataset, or to compare the values of different datasets. They are also easy to read and understand and they are widely used across different fields such as business, economics, social sciences, and statistics.
Bar charts or Column charts are best for data comparison. They are easy to read and widely used.
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Which angles are adjacent angles? (1 point)
can someone please help me with this answer this ones a little tricky to me pleaseeee and thank youuuuuu
C. x*110 is the product of unknown number with 110.
What is meant by product?
In mathematics, a product is the outcome of multiplying two or more numbers together.
For eg. 5*4*3.
Step by step explaination:
A. x+110
This statement does not satisfy the condition of question .
So, the given statement is wrong.
B. x-110
This statement does not satisfy the condition of question .
So, the given statement is wrong.
C. x*110
This statement satisfy the condition of question .
As it states that product of unknown number with 110.
product=multiplication.
So, ths given statement is right.
D. x/110
This statement does not satisfy the condition of question .
So, the given statement is wrong.
C.x*110 is the product of unknown number with 110.
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The perimeter of a parallelogram is 36 cm. If the length is twice as long as the width, what is length of the parallelogram.
Answer:
72 cm
Step-by-step explanation:
you said that the width is is 36 and the length is 2x as long making it 36*2 which is 72
Which way is vertical?
Answer: a vertical line goes up and down
Answer: horizontal is left to right, vertical is up and down.
Step-by-step explanation: a horizontal line is the same direction as the horizon, a vertical line is perpendicular to the horizon
Nico and his brother Noah each have a savings account for college. In April, Nico's account had a balance of $2,000 and he plans to deposit an additional $50 per month. At the same time, Noah's account had a balance of $1,600 and he plans to deposit $100 per month. Predict when the brothers will have the same amount in their college accounts.
Answer:
To predict when the brothers will have the same amount in their college accounts, we can set up an equation using the information given. Let x be the number of months from April.
We know that:
Nico's account balance = $2,000 + $50x
Noah's account balance = $1,600 + $100x
We want to find when the two balances are equal, so we can set the two equations equal to each other:
$2,000 + $50x = $1,600 + $100x
Now we can solve for x. Subtracting $1,600 from both sides gives:
$400 = $50x + $100x
Now we can combine like terms:
$400 = $150x
Finally, we can solve for x by dividing both sides by 150:
x = 2.67
This means that the brothers will have the same amount in their college accounts after 2.67 months or 2 months and 2 weeks.
Pls answer and show all work
last one is m
The value of x in the given ΔCSU is 17.7.
What is Pqr in triangle?PQ = PR, and S is any point on side PQ, forming the triangle PQR. A line is drawn through S, parallel to QR, and intersects PR at T. demonstrate PS = PT. Live Discussion on JEE Main 2022 Question Paper.PQR is a right-angled triangle where P is the base, and M is a point on QR where PM QR. This shown that PM2 = QM.MR.An acute angle is one that is smaller than 90° in length. the range of angles from 0 to 90. In the illustration below, the angle PQR, which is 45°, is created when PQ and QR cross at Q. PQR is hence referred to as an acute angle.
Given data :
m∠CSU = 10x + 3
m∠CUS = 30x - 13 x
The three angles form the triangle ΔCSU then the addition of them makes 180°.
ΔCSU = 180
m∠CSU = 10x + 3
10x + 3 = 180
10x = 180 - 3
x = 177 / 10 = 17.7
So,
m∠CSU = 10x + 3
Applying the value of x
= 10 x 17.7 + 3
= 180
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Find the length s of the circular arc.
s =
The length s of the circular arc is 6.75π units
What is an angle?
Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.
A figure made by two intersecting lines or two rays extending from the same point is called an angle.The character ∠ is used to represent it. Angles are frequently expressed in degrees and radians, a unit of circularity or rotation. We encounter angles frequently in life.
Formula for the length s of the circular arc when angle θ is in radians:
s=r θ
=> s= 9(3π/4) = (9*3*π)/4 = 6.75π units
Thus, the length s of the circular arc is 6.75π units
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On which number line the location of point P represent the probability of an event that is likely, but not certain?
In option D the location of point P represents the probability of an event that is likely but not certain.
The likelihood that an event will occur is measured by its probability. In our example, the point P on the number line is exactly equally distant from both 0 and 1 in option A, demonstrating that this event is equally likely. The fact that the point P is close to 0 in option B indicates that it is extremely unlikely. Option C has the point P after the point 1, which makes it certain because any probability cannot be larger than 1, which demonstrates that the event is unavoidable. In Option D point P's proximity to 1 demonstrates that it is extremely likely but not certain.
The complete question is:
On which number line the location of point P represent the probability of an event that is likely, but not certain?
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Write the first 4 terms of the sequence defined by the given rule: f(n)=2n^2+4
Answer: The sequence is defined by the rule f(n) = 2n^2 + 4.
To find the first 4 terms of the sequence, we need to plug in the values of n into the rule and calculate f(n) for each value of n.
n = 1: f(1) = 2(1)^2 + 4 = 2 + 4 = 6
n = 2: f(2) = 2(2)^2 + 4 = 8 + 4 = 12
n = 3: f(3) = 2(3)^2 + 4 = 18 + 4 = 22
n = 4: f(4) = 2(4)^2 + 4 = 32 + 4 = 36
So, the first 4 terms of the sequence are 6, 12, 22, 36
Step-by-step explanation:
What is the answer to 10/4 + 1/3?
Answer: 17/6 or it could be 2.83 but the 3 is repeating
[tex]\cfrac{10}{4}+\cfrac{1}{3}\implies \cfrac{(3)10~~ + ~~(4)1}{\underset{\textit{using this LCD}}{12}}\implies \cfrac{30+4}{12}\implies \cfrac{34}{12}\implies \cfrac{17}{6}\implies 2\frac{5}{6}[/tex]
Evaluate (9)^-5/2. Express your answer as a fraction in simplest form
Answer:
Step-by-step explanation:
(9)^-5/2 = (1/9)^5/2 = (1/59049)^(5/2) = 1/(59049)^(5/2) = 1/243^(5/2) = 1/243^(5/2) = 1/(3^5)^(5/2) = 1/3^(5*5/2) = 1/3^25/2 =1/3^(25/2) = 1/3^12.5 = 1/(3^12.5) =1/3^12.5 =1/43046721 = 1/43046721
find the equation of the line that is parallel to the line y=2x+9 and passes through the line (5,-10)
Answer: the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10) is y = 2x + 20
Step-by-step explanation:
A line that is parallel to another line will have the same slope (m). The slope of the line y = 2x + 9 is m= 2.
To find the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10), we can use the point-slope form of a linear equation:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, and m is the slope of the line.
So, the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10) is:
y - (-10) = 2(x - 5)
Simplifying the equation:
y = 2x + 20
So, the equation of the line that is parallel to y = 2x + 9 and passes through the point (5,-10) is y = 2x + 20
Answer:
y = 2x - 20
Step-by-step explanation:
General equation of a line is y = mx + b where m = slope and b = y-intercept
Parallel lines will have same slope but different intercepts
Given line: y = 2x + 9
Slope of this line is 2
Parallel line will have equation y = 2x + b
Since it passes through 5, 10 the value of y = - 10 must be the same as 2x+b for x = 5
Plugging in values:
- 10 = 2(5) + b
- 10 = 10 + b
-10-10 = b
b = - 20
So the equation of the line that is parallel to the line y=2x+9 and passes through the line (5,-10)
y = 2x - 20
For what value of K the following system has no solution or represent parallel lines?
For k = 2, the given system of equation contains no solution, hence represent parallel lines.
Does a system of parallel lines have no solution?There are no solutions to a system with parallel lines. Observe that the slope of parallel lines is the same. The lines will have the same steepness with distinct intercepts when graphed. Since parallel lines will never connect, there is no solution to the problem.
When the graphs are parallel, a system of linear equations cannot have a solution.
For a system of equations representing parallel lines means they do not intersect, hence, have no solutions.
For a system of equations [tex]$a_1 x+b_1 y+c_1=0 ; a_2 x+b_2 y+c_2=0$[/tex] to have no solution, the condition to be satisfied is
[tex]$\frac{a_1}{a_2}=\frac{b_1}{b_2} \equiv \frac{c_1}{c_2}$$[/tex]
[tex]$\Rightarrow \frac{\mathrm{k}}{4}=\frac{-3}{-6} \equiv \frac{6}{150}$$[/tex]
For k = 2, the given system of equation contains no solution, hence represent parallel lines.
The complete question is:
The value of k, for which the system of equations k x-3 y+6=0,4 x-6 y+150 represent parallel lines is
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What are the factors of x² + 4x + 3?
Therefore, utilizing features like split middle term, the elements of the quadratic polynomial x2 + 4x + 3 are (x+3)(x+1).
what is quadratic polynomial ?A quadratic polynomial in a single variable is represented by the equation x ax2+bx+c=0. a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that it has at least one solution. There are both simple and complex solutions. A quadratic equation is just that—quadratic. It has at least one word that has to be squared, as shown by this. One of the often used solutions for quadratic equations is "ax2 + bx + c = 0." where X is an undefined variable and a, b, and c are numerical coefficients or constants.
given
Given that: x2+4x+3
=x2+3x+x+3, by split middle term
=(x2 +3x)+(x+3), by group pair of terms
=x(x+3)+1(x+3), by factor each binomials
=(x+3)(x+1), by factor out common factor (x+3)
Therefore, utilizing features like split middle term, the elements of the quadratic polynomial x2 + 4x + 3 are (x+3)(x+1).
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Malik's speed and distance vary inversely.
He can drive to work in 30 minutes when
driving 35 mph. How fast is he likely driving
if he gets to work in 25 minutes?
If Malik gets to work in 25 minutes, he must be driving 42 mph
We know that the formula of the speed.
speed = distance/time
Given that Malik can drive to work in 30 minutes when driving 35 mph.
Let d represents the distance to work place.
Let s1 be the speed and t1 be the time.
here, s1 = 35 mph
and t1 = 30 minutes
= 0.5 hours
Using formula of speed,
s1 = d/t1
d = s1 × t1
d = 35 × 0.5
d = 17.5 miles
We need to find the speed if he gets to work in 25 minutes.
Using the formula of the speed,
s = d/t
here, t = 25 minutes
= 0.4167 hour
So, s = (17.5) / (0.4167)
s = 41.99
s ≈ 42 mph
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The complete question is
Malik's speed and time vary inversely. He can drive to work in 30 minutes when driving 35 mph. How fast is he likely driving if he gets to work in 25 minutes?
Psl I need the answer I am in test
Answer:
lolololololololololololololololol
A triangle has a perimeter of 8x + 7. The first side of the triangle has a length of 4x, and the second side has a length of 2x − 3. What is the length of the third side of the triangle?
14x + 4
6x − 3
2x + 10
x + 10
Answer:
3rd option
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle.
To find the third side subtract the sum of the 2 known sides from the given perimeter, that is
third side
= 8x + 7 - (4x + 2x - 3)
= 8x + 7 - (6x - 3) ← distribute parenthesis by - 1
= 8x + 7 - 6x + 3 ← collect like terms
= 2x + 10
The length of third side of Triangle is 2x + 10.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A triangle has a perimeter of 8x + 7.
First side = 4x, second side = 2x - 3
As, Perimeter of Triangle = side + side + side
8x + 7 = 4x + 2x - 3 +side
8x + 7 = 6x - 3 + side
side = 8x - 6x + 7 + 3
side = 2x + 10
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(9 × 20 × 19)(6 × 18 × 21 × 19 × 20 × 1 × 20 × 9 × 14 × 7) = ?
Answer:
9 x 20 x 19 = 3420
6 x 18 x 21 x 19 x 20 x 1 x 20 x 9 x 14 x 7 = 15202857600
3420 x 15202857600 = 5199377299200
Therfore, the answer is 5199377299200.
Determine the arc length of AB. Give your answer to two decimal places. Please help
On solving the provided question, we can say that Arc AB = Radius * Angle AB = 9 x 2.164
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
Radians = π/180 * degree
0.0174 x 124 = 2.164 rad
Arc AB = Radius * Angle ( In Radians )
AB = 9 x 2.164
=> 19.47m
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HELP SETTING UP EQUATION AND GRAPHING IT FOR BRAINLIEST
The feasible region corresponds to the area that lies below the line y = 2x and above the line y = -x + 220. The feasible region is the area which is above and on the line y = 2x, and below and on the line y = -x + 220.
What exactly is a math graph?In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).
x + y <= 220 (because the total area used for flowers and vegetables must be less than or equal to 220 square feet)
y >= 2x (because the area used for vegetables must be at least twice the area used for flowers)
We can graph these inequalities on a coordinate plane. The first inequality x + y <= 220 represents a line with slope -1 and y-intercept of 220, this line is the upper boundary of the feasible region. The second inequality y >= 2x represents a line with slope 1/2 and y-intercept of 0, this line is the lower boundary of the feasible region.
The feasible region corresponds to the area that lies below the line y = 2x and above the line y = -x + 220. The feasible region is the area which is above and on the line y = 2x, and below and on the line y = -x + 220.
This region is a triangle.
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if michael rolls three fair dice, what is the probability that he will roll at least two 1's? express your answer as a common fraction.
Using probability theory, it can be concluded that the probability that he will roll at least two 1's is 2/27
Probability is a value used to measure the degree of occurrence of a random event.
P(A) = n(A) / n(S) , where:
P(A) = probability of event A
n(A) = number of events A
n(S) = total number of sample
Now we take a look at the given problem. there are three fair dices in the experiment (n = 3).
Probability of events with no 1's, p(A):
p(A) = (number of sides other than one / total number of sides) ^ number of dice
= (5/6)³
= 125/216
The probability of events with exactly one 1, p(B):
p(B) = number of dice * probability of events with one 1 in one dice * probability of events other than 1's in two dices
= 3 * (number of sides other than one / total number of sides) ^ number of dice * (number of sides other than one / total number of sides) ^ number of dice
= 3 * (1/6)¹ * (5/6)²
= 75/216
Probability of events with at least two 1's, p(C):
p(C) = 1 - p(A) - p(B)
= 1 - 125/216 - 75/216
= 216/216 - 200/216
= 16/216
= 2/27
Thus, the probability that he will roll at least two 1's is 2/27
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What is the value of log7 7?
The logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.
The logarithm of a number is the exponent to which a base number must be raised to produce that number. For example, the logarithm of 10 with base 2 is 3, since 2 to the power of 3 is equal to 10. In this case, the logarithm of 7 with base 7 is equal to 1, since any number to the power of 1 is equal to itself.
This is because logarithms have the property that logb b = 1. This means that the logarithm of a number with the same base as the number itself is always equal to 1. This is why, in the case of log7 7, the answer is 1.
Logarithms can be used to simplify mathematical equations, as logarithms of multiplication and division are equal to the sums and differences of the logarithms of the individual numbers. They are also used in many scientific and engineering applications, such as calculating the pH of a solution.
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Find a solution by graphing: 4X minus 6Y equals 12
2X plus 2Y equals six
The solution of the system of equations:
4x - 6y = 12
2x + 2y = 6
is the point (3, 0).
How to solve the system of equations?Here we want to solve the following system of equations:
4x - 6y = 12
2x + 2y = 6
To do it, we need to graph the two equations (just find two points on the lines and connect them with lines) on the same coordinate axis and find the points where the graphs intercept, these points of interception are the solutions of the system of equations.
The graph can be seen in the image below. There we can see that the solution is the point (3, 0)
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32-(3^2-1)+20 ÷ 2
I want the solving for this problem please.
By calculating the given expression , we get 5 as a final resultant.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers the use of letters or alphabets without specifying their real values. The basics of algebra taught us the way to express an unknown fee the use of letters consisting of x, y, z, and so on. those letters are known as here as variables. An algebraic expression can be a aggregate of both variables and constants. Any fee that is placed earlier than and improved with the aid of a variable is a coefficient.
Given expression ,
32- (3^2 -1 ) + 20 / 2
So by using the BODMAS rule ,
32 - (3*3 - 1 ) + 20 / 2
23 - (9 - 1 ) + 10
23 - (8) + 10
23 - 18
23 - 18
= 5
Hence, By calculating the given expression , we get 5 as a final resultant.
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the point at which the perpendicular bisectors intersect in a triangle___
The point at which the perpendicular bisectors intersect in a triangle is called the circumcenter. The circumcenter is the center of the circumcircle, which is a circle that passes through all three vertices of the triangle.
It is the center of the circle that is tangent to each side of the triangle. The circumcenter is equidistant from each vertex of the triangle and can be calculated by finding the intersection of the perpendicular bisectors of the triangle. The perpendicular bisectors of a triangle are lines that pass through the midpoints of the sides of the triangle and are perpendicular to the sides.
The circumcenter is important in triangle geometry because it helps to define the triangle and its properties. Knowing the circumcenter of a triangle can be useful in finding the triangle's area, medians, altitudes, and angle bisectors.
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