Amount of each monthly statement is 1400.
According to question ,
Cash price of refrigerator =34500
Deposit money=6500
Outstanding money=28000
Rate of interest=10%
Time period=24 months or 2 years
∴Simple interest =(principal ×rate of interest×time)÷100
⇒(28000×10×2)÷100
⇒5600
∴The total amount to be paid in 2 years is 28000+5600 =33600
∴Amount to be paid in one month =33600÷24=1400
∴Amount of each monthly statement is 1400.
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Samantha visited Forager Family Farm yesterday. She picked a bucket of fresh berries in
the field. She also got 2 pints of pre-picked berries at the farm stand because they were
overripe and perfect for making jam. The farm charges $3 a pint for berries, regardless of
whether they're fresh-picked or pre-picked. Samantha paid $24 in all.
Which equation can you use to find f, the number of pints of fresh berries Samantha
picked?
2(f+ 3) = 24
3f + 2 = 24
Submit
3(f+ 2) = 24
2f + 3 = 24
The solution is Option C.
The number of pints of fresh berries is 6 pints and is calculated by the equation 3 ( f + 2 ) = 24
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pints of fresh berries be represented as f
Now , the number of pints of berries Samantha got initially = 2 pints
So , the total number of berries Samantha got = f + 2
The cost of 1 pint of berries = $ 3
The total amount Samantha paid for the berries = $ 24
Now , the equation will be
Total amount Samantha paid for the berries = cost of 1 pint of berries x ( total number of berries Samantha got )
Substituting the values in the equation , we get
24 = 3 ( f + 2 ) be equation (1)
On simplifying the equation , we get
Divide by 3 on both sides of the equation , we get
f + 2 = 8
Subtracting 2 on both sides of the equation , we get
f = 6 berries
Hence , the equation is 3 ( f + 2 ) = 24
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Please help solve this inequality question, with explanation.
x ≥ -26 / (6a - 15) where a >5/2.
What are inequalities?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.
Given a equation, (3ax + 2)/ 3 - (5x / 2) ≥ -8 where a > 5/2
solving for x in terms of a
ax + 2/3 - 5x/2 ≥ -8
x(6a - 15 ) ≥ -26
x ≥ -26 / (6a - 15)
since a is greater than 5/2 let a be 3 than the value of x ≥ -26/3.
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A salesperson earns $1000 a month plus a commission of 20% of sales. Find the minimum
amount of sales needed to receive a total income of at least $5000 per month. (Write
an inequality and solve.)
Answer:
5000
Step-by-step explanation:
1000+0.8s < 5000
subtract 1000 from both sides of the inequality
0.8s < 4000
divide both sides by 0.8 to get the number of sales (s)
s <5000
Consider continuous functions f and g. then complete the statement. function g is the sum of 2 and the cube root of the sum of three times x and 1. select the correct answer from each drop-down. the x-intercept of function f is the x-intercept of function g.
The x-intercept of the function f is greater than the x-intercept of function g is the correct statement.
What is x-intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
How to find x-intercept?Setting y = 0 will provide the x-value at which the line crosses the x-axis, allowing us to find the x-intercept
Function g(x) is defined as:
g(x)=2+[tex]\sqrt[3]{3x+1}[/tex]
and f(x)=0
To find x-intercept let g(x)=0
So
2+[tex]\sqrt[3]{3x+1}[/tex]=0
[tex]\sqrt[3]{3x+1}[/tex]=-2
Taking cube on both sides we get
3x+1= -8
3x=-9
x=-3
The x-intercept of g(x) + -3, which is less than the x-intercept of function f(x), hence, the correct statement is:
The x-intercept of the function f is greater than the x-intercept of function g.
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What is the solution of the system of equations? {2x−7y=−154x−14y=30
The system of equations, 2x − 7y = −15 and 4x − 14y = 30, has no solution.
What is the Solution to the System of Equations?To find the solution to the system of equations, we can plot the line of the two equations on a graph, then find the coordinate of the point where both lines of the equations intersect each other.
Alternatively, we can solve simultaneously as shown below:
2x − 7y = −15 --> eqn. 1
4x − 14y = 30 --> eqn. 2
Rewrite eqn. 1:
2x − 7y = −15
-7y = -15 - 2x
y = 15/7 + 2/7*x
Substitute the value of y into eqn. 2:
4x − 14(15/7 + 2/7*x) = 30
4x - 30 - 4x = 30
0 - 30 = 30
0 - 30 + 30 = 30 + 30
0 = 60 [not true]
This means that the system has no solution. If we graph both lines, the two lines of the equations will not intersect each other at any point.
The graph below shows the graph of both lines of the system of equations, meaning that it has no solution.
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Which must be true? point a is the center of the circle that passes through points e, f, and g but is not the center of the circle that passes through points x, y, and z. Point a is the center of the circle that passes through points x, y, and z but is not the center of the circle that passes through points e, f, and g. Point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z. Point a is not necessarily the center of the circle that passes through points e, f, and g or the center of the circle that passes through points x, y, and z.
The statements which must be true is statement 4 which is :-
Point a is not necessarily the center of the circle that passes through points e, f, and g or the center of the circle that passes through points x, y, and z.
3 points uniquely define a circle. so points e,f and g uniquely defines a circle C1 and point x,y and z uniquely defines a circle C2.
The below figure shows the condition that 2 different circle C1 and C2 can have same center , point a and this conditon occurs when they are concentric circle so statement 1,2 is false as in these statement it is told that point a can be center of only one circle but point a can be center of more than 1 circles.
and it is also possible that these 2 different cirlce C1 and C2 can have different center which is 2 different circle ,so statement 3 is also false.
so only statement which must be correct statement is 4 as in this case point a might be center of circle C3 which is neither C1 or C2.
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Answer: C
Step-by-step explanation: because I am amazing
Which problems can be solved by performing this multiplication? 2/3×18
Answer:
Matthew has 24 inches of green ribbon and 3/4 inch of yellow ribbon. How much ribbon does he have in all?
Kiki had 24 marbles. She put 3/4 of the marbles in a jar. How many marbles did she put in the jar?
There were 24 questions on a test. Three-fourths of the questions were science questions. How many questions were science questions?
Aisha baked 24 muffins. She gave 3/4 of the muffins to her friends. How many muffins does she have left?
Step-by-step explanation:
Answer:
Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes?
Min had 18 quarters. He used 2/3 of the quarters to play arcade games. How many quarters did Min use?
Step - by - step explanation
2/3 × 18
Checking all options
Sarah mixed 18 ounces of orange juice with 23 ounce of pineapple juice. How many ounces of juice did she have in all?
Ounces of orange juice = 18
Ounces of pineapple juice = 23
Total ounces of juice = 18 + 23
= 41 ounces
A container held 18 ounces of water. Two-thirds of the water leaked out of the container. How many ounces of water were left in the container?
Total water in the container = 18
Water leaked out = 2/3
Ounces of water left = 18 - 2/3(18)
= 18 - 36/3
= 18 - 12
= 6
Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes?
Total Number of coins = 18
Dimes = 2/3 of 18
Number of dimes = 2/3 × 18
= 36 / 3
= 12
Min had 18 quarters. He used 2/3 of the quarters to play arcade games. How many quarters did Min use?
Total quarters = 18
Quarters used for game = 2/3 × 18
= 2/3 × 18
= 36 / 3
= 12
A quare that ha 21 ha a the perimeter. Find the ide length of the quare and the area of the quare. HELP PLEASE
Answer:
area = 27.5625, side length = 5.25
Step-by-step explanation:
21 is the perimeter of a square (given). We know a square has 4 equal sides, so 4s = p, where s is the side length and p is the perimeter of a square. Thus: 4s = 21 → s = 5.25
We also know that a square has a = s², where s is the side length and a is the area. Thus, a = 5.25² → a = 27.5625
In the given figure, △ADE ∼ △ABC. Which triangle similarity theorem justifiesthis similarity? Show proof toyour answer.
5. a. Using the figure below, name the three similar triangles.
b. Write the proportions that exist among corresponding parts of similar
triangles.
Option a) The similar triangles are ⇒ ΔADE ≅ ΔABC
Option b) ∠ADE = ∠ABC
According to the figure given in the question,
We can observe that there are two right-angled triangles present and we have to derive the similarities between them
Let one triangle be = ΔADE
Another triangle be = ΔABC
Let us consider the angle arc at point A,
We can conclude that ⇒ ∠BAC = ∠DAE ( according to the property of similar angles )
⇒ ∠ADE = ∠ABC ( by the similar 90° angles )
and both angles are making a total of 180°
So, from the above expressions, we can say that,
⇒ ∠AED = 180° - ∠A - ∠ABC
⇒ ∠ACB = 180° - ∠A - ∠ABC
Hence, ∠AED = ACB ⇒ ΔADE ≅ ΔABC
Therefore,
Option a) The similar triangles are ⇒ ΔADE ≅ ΔABC
Option b) ∠ADE = ∠ABC
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The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school:
High Low Q1 Q3 IQR Median Mean σ
College 20 6 8 18 10 14 13.3 5.2
High School 20 3 5.5 16 10.5 11 11 5.4
Which of the choices below best describes how to measure the spread of this data? (2 points)
Both spreads are best described with the standard deviation.
Both spreads are best described with the IQR.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
Answer:
I dont understand
Step-by-step explanation:
A land developer is splitting up 1.31 hectares of land to form 5 identical properties. What size will each property be?
Answer:
0.262 hectares
Step-by-step explanation:
To find the size of each property, you need to divide the total area of the land by the number of properties. In this case, the total area of the land is 1.31 hectares, and it is being divided into 5 properties, so the size of each property is:
Property size = 1.31 hectares / 5 properties = 0.262 hectares/property
Therefore, each property will be 0.262 hectares in size.
The measures of the angles of △RST are given by the expressions in the table
In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰
How to find angles of a triangles?We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.
The given angles are
31⁰, (x+4)⁰, (3x+9)⁰
The sum of angles of the triangle
31+x+4+3x+9=180⁰
44+4x=180⁰
Collecting like terms
4x=136
Dividing by 4
x=34⁰
Substituting the value of x=34 in the given angles we have
R= 31⁰, given
(x+4)⁰ = 34+4=38⁰, (3*34+9)⁰=111⁰
In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰
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y-b=m(x-a) i being try to do it but i cant
Explanation:
The equation y - b = m(x - a) is a mathematical formula that describes the relationship between the x and y coordinates of a point on a line. The equation is called "point-slope form" because it uses the coordinates of a point on the line (point a) and the slope of the line (m) to describe the line.
The equation has three parts: y, b, and m(x - a).
The y part of the equation represents the y-coordinate of a point on the line. This value can change depending on the x-coordinate of the point.
The b part of the equation is the y-coordinate of a known point on the line. This value is fixed and does not change.
The m(x - a) part of the equation represents the slope of the line and the x-coordinate of the known point on the line. The slope is represented by m, and the x-coordinate of the known point is represented by a.
To use the equation to find the y-coordinate of a point on the line, you first need to know the x-coordinate of the point and the values of b, m, and a. Then, you can substitute these values into the equation and solve for y.
For example, if the x-coordinate of a point on the line is 5, the y-coordinate of a known point on the line is 2, the slope of the line is 3, and the x-coordinate of the known point is 1, then the y-coordinate of the point can be calculated as follows:
y - 2 = 3(x - 1)
y = 3x - 3 + 2
y = 3(5) - 3 + 2
y = 15 - 3 + 2
y = 14
Therefore, the y-coordinate of the point with x-coordinate 5 is 14.
In summary, the equation y - b = m(x - a) is a mathematical formula that describes the relationship between the x and y coordinates of a point on a line. The equation uses the coordinates of a known point on the line and the slope of the line to describe the line, and you can use it to find the y-coordinate of a point on the line if you know the x-coordinate of the point and the values of b, m, and a.
Jimm toed a die everal time. He got the number "3" on 8 of the toe. What i the bet etimate of the total number of time he toed the die?
The best estimate to get the total number of times to get a "3" will be 24 times.
This is an expression that simply refers to mathematical statements that have at least two terms which are related by an operator and contain either numbers, variables
In this case, Jimm tossed a die several times and he got the number "3" on 8 of the tosses.
Therefore, when there are 64 tosses, the estimate will be:
= 3/8 × 64
= 3 × 8
= 24
The number of times is 24.
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- Which expression has the same meaning as p 11/5?
Answer:
[tex]5\sqrt{p} ^{11}[/tex]
answer the following questions
and get 20 points
Answer:
3/7 ; -7
Step-by-step explanation:
1)
(7-4)/(10-3)
3/7
2) -7 because is the number that multiplies x
Find three rational numbers such that their product is 210. The second number is 5 less than the first. The third number is 1 more than twice the first.
Answer:
7,2,15
Step-by-step explanation:
In general, to find rational numbers that satisfy a given set of conditions, it is often helpful to first write an equation that relates the numbers to each other.
The three rational numbers are 7, 2 and 15
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:
First Number= x
Second Number= x- 5
Third Number = 2x+ 1
so, the product of the three number be 210
x(x-5 )(2x+ 1)= 210
(x² -5x )(2x+ 1)= 210
2x³ + x² - 10x² - 5x= 210
2x³ -9x² -5x -210=0
On solving the equation we get only one real value 7 and other values are imaginary.
Then, the number are
x= 7
2-x-5 = 2
2x+1 = 15
Hence, the three rational numbers are 7, 2 and 15.
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brine flows into a conical tank at a constant rate of 3 cubic feet per minute. the radius of the cone is 5 feet and its height is 12 feet. how fast is the radius increasing when the radius is 2 feet? group of answer choices
Using the values provided and a derivative of the cone's volume formula, the result is 0.059 feet per minute.
What does "derivative" mean to you?In mathematics, the rate at which a function changes in relation to a variable.
What is a cone and how does it calculate volume?A cone is a three-dimensional geometric structure that has a smooth transition from a flat base that is typically circular to the point at the top, which is also referred to as the apex or vertex.
The formula for cone volume is:
V=πr2h/3
yields the formula for cone volume:
dv/dt = 2r * h/3 * dr/dt dV/dt = 3 r=2 h=12
dr/dt = 0.059 feet per minute.
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Write the equation of the line in Standard Form
passing through the point (2,-5) with a slope of 4.
Step-by-step explanation:
[tex]y - y1 = m(x - x1[/tex]
[tex]y - - 5 = 4(x - 2)[/tex]
[tex]y + 5 = 4x - 8[/tex]
[tex]y= 4x - 8 - 5[/tex]
[tex]y = 4x - 13[/tex]
[tex]y = 2x - 13 \div 2[/tex]
Use the graph to write the factorization of x² + 4x - 5?
The quadratic function x² + 4x - 5 is factorized to give
(x + 5) (x - 1)
How to find the factorization of the quadratic expression from the graphThe given quadratic function is x² + 4x - 5
The graph is plotted and the roots of the equation which is the x intercepts that is the points where the graph cuts the x axis is found to be points 1 and -5
Using points 1 and -5 the equation is sort as follows
for 1
x = 1
x - 1 = 0
for -5
x = -5
x + 5 = 0
bringing the solutions together
(x + 5) (x - 1)
The solution is (x + 5) (x - 1)
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Two payment options to rent a car: You can pay $25 a day plus 5¢ a mile (Option A) or pay $15 a day plus 30¢ a mile (Option B). For what amount of daily miles will option B be the cheaper plan?
Please help please! No fake answers pls
Answer:
x= 30
Step-by-step explanation:
Angle E
E + F + G = 180
E + 60 + 90 = 180
E + 150 = 180
E = 180-150
E = 30
Angle E is congruent to angle X so the measures must be the same
E = X = 30
X = 30
Answer:
[tex]E=30[/tex]
Step-by-step explanation:
[tex]E + F + G = 180\\E + 60 + 90 = 180\\E + 150 = 180 \\E= 180-150 = 30[/tex]
Hope this helps u :)
Which line has a negative slope?
Answer:
Line A
Step-by-step explanation:
Any line facing towards the left side of the coordinate plane will have a negative slope.
Line C is facing towards the right
Line D and B doesn't have a slope
A is the only right answer
pls help almost done!
Answer:
Step-by-step explanation:
same as the last one, hope you are getting these better now.
minor angle (interior angle) J is the same as angle t, b/c of the red marks.
180 = 141 = ∠j
39 = ∠j
t = 39
then find s
180 = 2*t +s
180 = 2*39 +s
180 =78 +s
180-78 = s
102 = s
got it better now?
Fill in the missing number.
70% of
35
Submit
H
A
in 2010, husson had 2000 undergraduate students. in 2018, husson had 2800 undergraduate students. find the percent increase in enrollment, and round to the nearest percent.
the percent increase in enrollment, and round to the nearest percent is 40%
Given that number of students enrolled in 2010= 2000
Given that number of students enrolled in 2018 = 2800
2800is more than 2000 so that means number of students enrollment is increasing.
increase = 2800-2000= 800
Percent increase is given by formula:
% increase = 800/2000*100= 40
which is approx 40%.
Hence final answer is that enrollment increases by 40%
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Aisha walked 3 days in a row. She walked the same distance each day. This model represents the situation. Each column represents one mile and the shaded parts of each column represent the fraction of a mile that Aisha walked each day. Which expression can be used to determine the total distance in miles Aisha walked over the 3 days?
An expression which can be used to determine the total distance in miles that Aisha walked over the 3 days is: C. 3 × 3/4.
What is distance?In Science, distance can be defined as the amount of ground that is covered (travelled) by a physical object over a particular period of time and speed, irrespective of its direction, starting point or ending point.
What is an expression?In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities.
From the information provided, we know that Aisha walked three (3) days in a row and three (3) miles out of four (4) miles. Therefore, a mathematical expression that represents the total distance in miles that she walked over the three (3) days is given by;
Total distance = 3/4 + 3/4 + 3/4
Total distance = 3 × 3/4
Total distance = 9/4 or 2.25 miles.
In conclusion, Aisha walked a total distance of 9/4 miles or 2.25 miles over the three (3) days.
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Can anyone help me do this?
Answer:
yellow
Step-by-step explanation:
i can only see one line, and infinitely many points are on it
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Which of the following is a polynomial function? c. f(x) = V2x3 + 5 A. y = x 3 + 2x2 + x - 1 B. y = - 2x3 + 5x – 4 - 4 D. f(x) = x3 +1.
A polynomial function is a mathematical function defined by an expression that is a sum of terms, each of which is a product of a constant and a non-negative integer power of a variable. The term "polynomial" comes from the Greek word "polys," which means "many," and "nomos," which means "terms." Polynomial functions are distinguished by the degree of their highest-degree term, which is the largest exponent of the variable. For example, the polynomial function f(x) = x3 + 2x2 + x - 1 has a degree of 3 because the highest-degree term is x3.
Out of the four given options, only the functions f(x) = x3 + 2x2 + x - 1 and f(x) = x3 +1 are polynomial functions. The other two options, y = -2x3 + 5x – 4 - 4 and f(x) = V2x3 + 5, are not polynomial functions because they contain terms that are not of the form "constant times a non-negative integer power of a variable." The function y = -2x3 + 5x – 4 - 4 contains the term -4, which is not a product of a constant and a non-negative integer power of a variable, and the function f(x) = V2x3 + 5 contains the term V2x3, which is not a product of a constant and a non-negative integer power of a variable. Therefore, the correct answer is A and D.
Pls help I inserted a picture
The inequality is 7<x<31.
What is inequality ?
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
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