The amount to be paid after paying interest of 7% for 10 years is 10,2000
The amount to be borrowed from the bank = 6000
Interest rate for the amount per year = 7%
The total time period of the loan = 10 years
Thus , the final amount can be calculated by using the formula
A = P(1 + rt)
where A is the final amount
P is the principal amount to be borrowed
r is the rate of interest
t is the time period
Now, let us substitute the known values in the above equation , we get
A = 6000 ( 1 + 0.07 x 10)
= 6000 (1 + 0.7)
= 6000 (1.7)
A = 10,200
Therefore , the final amount to be paid is 10,200
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True or False: The relation {(9,1), (0,1), (9,-3), (-4,12)} is a function.
Given
relation = {(9,1), (0,1), (9,-3), (-4,12)}
Find
Is this a function?
Explanation
A relation is a function only if it relates each element in its domain to only one element in the range.
here , domain 9 has two range value 1 and -3
so it is not a function
Final Answer
Hence , it is false
Answer:
False
Step-by-step explanation:
Definition:
Function is a set of coordinate points where each coordinate points do not have same domains (x-values). If we express mathematically, we can do as [tex]\displaystyle{f=\left \{(x_0,y_0),(x_1,y_1),(x_2,y_2),...,(x_n,y_n)\}\right}[/tex] where [tex]\displaystyle{x_0\neq x_1 \neq x_2\neq \dots \neq x_n}[/tex]Function is also considered to be a relation but not all relations can be functions.
As accorded to the relation, it turns out that there are two same domains (x-values) which is 9 from (9,1) and (9,-3). Therefore, this relation doesn’t satisfy the definition of function so it’s not a function.
Please let me know if you have any questions!
Write an exponential expression equivalent to 8^3 that has a base of 2.
The exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
What is exponential expression?
Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Applying the laws of indices,
The expression 8^3 can be written as,
8 x 8 x 8 = (2^3) x (2^3) x (2^3)
= 2^(3+3+3) ...{If a^m x a^n then a^(m+n) }
8 x 8 x 8 = 2^9
Therefore, the exponential expression equivalent to 8^3 that has a base of 2 is 2^9.
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Please help! I have no idea what I’m doing and I’m super behind, I absolutely suck at math!
The function f(x) is graphed below.
(Picture below)
A) what is f(0)
B)what is f(3)
C) what is f(2)
Answer: 0, 3, 0
Step-by-step explanation:
f(a) represents the value of f(x) at x=a.
The sum of an integer and 4 times the next consecutive odd integer is 23. Find the value of the greater integer.
The greatest integer in the system has a value of 5
How to calculate the value of the greater integer?From the question, the given parameters are:
The sum of an integer and 4 times the next consecutive odd integer is 23
Let the integer be x
So, we have the following representation
The sum of x and 4 times the (x + 2) is 23
This means that
Integer = xNext odd integer = x + 2So, we have
x + 4(x + 2) = 23
Open brackets
x + 4x + 8 = 23
Evaluate the like terms
5x = 15
Divide by 5
x = 3
So, we have
Next odd integer = 3 + 2
Evaluate
Next odd integer = 5
Hence, the value of the greatest integer is 5
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Use substitution to find the solution to the linear/quadratic system. y - 2x^2 = 4x + 1 y = 14x - 7 Blank 1: (___7) Blank 2: (___49) Blank # 1:Blank # 2:
The given system is
[tex]\mleft\{\begin{aligned}y-2x^2=4x+1 \\ y=14x-7\end{aligned}\mright.[/tex]Let's replace the second equation with the first one.
[tex]14x-7-2x^2=4x+1[/tex]Now, we solve the quadratic equation.
[tex]\begin{gathered} 14x-7-2x^2-4x-1=0 \\ -2x^2+10x-8=0 \\ -2(x^2-5x+4)=0 \\ x^2-5x+4=0 \end{gathered}[/tex]Then, we have to find two numbers whose product is 4 and whose sum is 5. Those numbers are 4 and 1.
[tex]\begin{gathered} (x-4)(x-1)=0 \\ x_1=4 \\ x_2=1 \end{gathered}[/tex]We use these values to find y.
[tex]\begin{gathered} y_1=14\cdot4-7=49 \\ y_2=14\cdot1-7=7 \end{gathered}[/tex]Hence, the solutions to the given system are (4,49) and (1,7).how to find a line that is parrallel to y=4 and passes through (-3,1)
The equation of the line is given as y = 1
What is the equation of a line?In the given question, we are to find the equation of the line that is parallel to the given equation. For y = 4, the slope of the equation is equal to 0 or does not exist.
Using point-slope formula y - y₁ = m(x- x₁)
The points passing through the line is (-3, 1)
We can substitute the values into the equation;
y - 1 = 0(x - (-3)
y = 0 + 1
y = 1
The equation of the line passing parallel to the equation is y = 1
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the slop of (6,2) and (24,8)
Answer:
1/3
in decimal its 0.333333
Step-by-step explanation:
I did it before
PLEASE HELP!! Thank you
Answer:16%
Step-by-step explanation: (New Number-Old Number)/Old Number*100
Meaning: [tex]\frac{290-250}{250} *100[/tex]
[tex].16*100[/tex]
16
Could be wrong but i j learned this
What’s the area ? 50 points
Answer:
The area of the figure is 325.17 ft²===============================
The area of the given shape can be found as a sum of three simpler shapes:
Triangle, rectangle and semi-circle.The semi-circle has the radius of 9 ft, its area is:
A = πr²/2 = 3.14*9²/2 = 127.17 ft²The rectangle has dimensions of 9 ft and 26 - 9 = 17 ft, its area:
A = lw = 9*17 = 153 ft²The triangle has bas of 9 ft and height 26 - 9 - 7 = 10 ft, its area is:
A = bh/2 = 9*10/2 = 45 ft²Area of the shape is:
A = 127.17 + 153 + 45 = 325.17 ft²5x+2y=12. Convert from standard form to slope-intercept form
Answer:
y = [tex]\frac{-5}{2}[/tex] x + 6
Step-by-step explanation:
We want the form
y = mx + b
5x + 2y =12 Subtract 5x from both side of the equation
2y = -5x + 12 Divide all the way by 2
y = [tex]\frac{-5}{2}[/tex] x + 6
515 to 103 markup percentage rate
The mark up percentage gained by the shopkeeper is 400%.
What is termed as the markup percentage rate?The markup percentage is the difference between how an item costs this same seller and what the customer pays. The greater the markup, as a percentage of a cost, the greater the profit.The markup percentage of a product is the ratio of its gross profit to its cost.It is most useful for companies that sell physical goods in industries in which prices are linked to the cost of acquiring more.The percentage of markup varies by industry as well as product. Other than discovering a price that did work for both your company and your customers, there is no golden rule.For the given question.
The cost of the item is $103.
The customer pays is $515.
The mark up percentage is -
mark up percentage = 515 - 103 / 103
mark up percentage = 4 × 100%
mark up percentage = 400 %.
Thus, the mark up percentage gained by the shopkeeper is 400%.
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PLEASE HELP WILL MARK BRAINLIEST AND 20 POINTS !!
Write the system of equations for the matrix.
[0. 2. 3. / 4
[8 -1 -2 / 5
[2. 0. 1 /9
The three equations that will emerge from the given matrix will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9What are equations?An equation is a mathematical statement that contains the symbol "equal to" between two expressions with identical values. Like 3x + 5 = 15, for example. There are many different types of equations, including linear, quadratic, cubic, and others. In a mathematical equation, the equals sign is used to express that two expressions are equal.So, the equations for the given matrix will be:
[0. 2. 3. / 4]
[8 -1 -2 / 5 |
[2. 0. 1 / 9 ]
Now, the equation will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9Therefore, the three equations that will emerge from the given matrix will be:
2y + 3z = 48x - 1y - 2z = 52x + z = 9Know more about equations here:
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[tex]\frac{1}{x -3/6}[/tex]
The fraction 1/ (x- 3/6) can be simplified in its simplest form as 6/(6x -3).
How can the given faction be expressed?From the question were given the expression as 1/ (x- 3/6) , which have the numerator as 1 and the denominator as (x- 3/6) , then
the denominator can be expressed as
(x- 3/6)
which can be simplified as :
(6x -3)/6
then we can place it back to the normal equation as 1/ (6x -3)/6, since the equation now appear in form of inverse function, Then this can be expressed by simplifying it as 6/(6x -3).
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The list price of an air conditioner is $ 1260. The store offers an off season discount of 16% on it. Find its selling price.
Answer: $1058.40
Step-by-step explanation:
16% of 1260
10%=126
5%=63
1%=12.6
10% divide by 10
5% divide by 10 then divide by 2
1% divide by 100
126+63+12.6=201.6
$201.60
Because it is on a discount we know subtract it with the original price
1260-201.6=1058.4
$1058.40
if u answer this can u help me with the other questions ??
Answer:
B=2, C=3, D=4, E=5
PLEASE HELP RIGHT NOW, THIS IS SUPER URGENT
The graph shows the proportional relationship between the number of gems collected and the number of levels that have been completed in a video game.
Graph with x axis labeled game levels and y axis labeled gems collected. A line begins at 0 comma 0 and goes through points 6 comma 450 and 8 comma 600.
Determine the constant of proportionality for the relationship.
p equals 2 over 150
p = 0.0133
p = 75
p = 150
The constant of proportionality for the graph will be P=75. The correct option is C.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The proportionality of the constant determines the linear relation between two variables. as one increases the another also increases with the same factor.
To calculate the constant of proportionality for the given graph finds the slope of the graph with the points.
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 600 - 450 ) / ( 8 - 6 )
Slope = ( 150 / 2
Slope= 75
Therefore, the constant of proportionality for the graph will be P=75. The correct option is C.
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Write an expeession equivalent to 0.4x
A. X-0.6x
B. 1-0.6x
C. X + 0.4
D. 0.4x-x
Answer:
A. X-0.6x
Step-by-step explanation:
A. X-0.6x = 0.4x YES
B. 1-0.6x = 1 - 0.6x NO
C. X + 0.4 = 1.4x NO
D. 0.4x-x = -0.6x NO
2000x2400 need the answer
Answer: 4,800,000
Step-by-step explanation: 2 times 24 is 48 then there is 3 zeros in 2000 and 2 zeros in 2400 so just add those on to the end of 48 and then you get your final answer of 4,800,000.
Zachary purchased a computer for
$1800 on a payment plan. He plans to
pay $150 per month on his payment
plan. What is an equation that models
the balance y after x months?
Answer:
y= 1 800- 150x
Step-by-step explanation:
y= 1 800- 150x
what do the factoring of special products have in common?
We know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.
Example:
2 × 3 = 6Factors of 6: 2 × 3What are special products?Simply put, special products are just special cases of multiplying together specific types of binomials. We offer three unique products: (a + b)(a + b) (a - b)(a - b)So, we know that special products are multiplying special types of binomials which means that these binomials will be the factors of the product.
For example:
2 × 3 = 6Factors of 6: 2 × 3Therefore, we know that specific products multiply specific kinds of binomials, so these binomials will be the product's factors.
Example:
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What value of b makes this equation true?:x2 + bx – 35 = (x + 5)(x - 7) a) 12 b) 2 c)-2 d)-12
Answer:
c) -2.
Step-by-step explanation:
(x + 5)(x - 7)
= x^2 - 7x + 5x - 35
= x^2 - 2x - 35
Compare with
x^2 + bx - 35
we see that b = -2.
please explain how you got it
Answer:
30y^5 x^8
Step-by-step explanation:
3x^8 * 5y^4 * 2y
Add 4 and 1 and you'll get 5 so it'll be:
3x^8 * 5y^5 * 2
Which it'll look like
15x^8 y^5 *2=
30x^8 y^5
Find the approximate perimeter of the isosceles triangleAOPD. Round your answer to the whole number.
The perimeter of the given triangle is the sum of the following segments:
Perimeter = PD + DO + OP
based on the given graph, you have that the coordinates of the points PDO are:
P: (1,-6)
D: (4,3)
O: (7,-6)
use the following formula for the distance in between two points:
d = √((x2 - x1)²+(y2 -y1)²)
where (x1,y1) and (x2,y2) are two points on the cordinate system.
For segement PD you have:
PD = √((1-4)²+(-6-3)²) = √(100) = 10
For segemtn DO:
DO = √((4-7)²+(-6-3)²) = √(100) = 10
For segment OP:
OP = √((1-7)²+(-6+6)²) = √36 = 6
then, the perimeter of the triangle is:
perimeter = 10 + 10 + 6 = 26
Teresa surveyed 100 students about whether they like pop music or country music. Out of the 100 students surveyed, 41 like only pop, 35 only like country, 11 like both pop and country, and 13 do not likeeither pop or country. Complete the two-way frequency table.
we have
see the attached figure to better understand the problem
please wait a moment (to fill the table)
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74.
Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form.
Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer.
HURRY WILL MARK BRIANLIEST Evaluate.
0.33÷0.9⋅20+6.4÷0.2
Enter your answer as a decimal in the box.
Answer:
39.3
but the 3 in the the tenths place is repeating
Step-by-step explanation:
Answer:
39.33...
Step-by-step explanation:
Using PEMDAS,
First, 0.33 / 0.9 = 0.366...
Second, 0.366... * 20 = 7.33...
Then, 6.4 / 0.2 = 32
Lastly, 7.33... + 32 = 39.33...
Nicholas is saving money to buy a new video game. He started with $25 and after 3 weeks of doing chores he had $70.
Question 1
Write the equation of the line that is parallel to the x-axis and contains point (2, 7).
PARALLEL LINES HAVE EQUAL GRADIENTS
THE GRADIENT IN THE X-AXIS IS EQUAL TO 0 SINCE THE THE Y VALUE FOR ANY X VALUES IS 0
[tex]m = \frac{0 - 0}{x2 - x1} \\ m = 0[/tex]
This just means that the gradient for the line parallel to the given line is 0
I will use the technique of the General equation of a straight line. y=mx+c
[tex]7 = (0)(2) + c \\ c = 7[/tex]
THE EQUATION IS
[tex]y = 7[/tex]
ATTACHED IS THE SOLUTION.
Explain if the triangles below are congruent or not and explain why you think that.
In this picture, we have the triangles with two common sides and one common angle. However, they are not congruent, as they do not follow any of the congruence theorems. The congruence theorem with two sides and an angle is the SAS(Side-Angle-Side). However, the angle has to be the angle between the two sides, which does not happen in this case.
What is the linear equation for the line graphed below?
Answer:
y = -3x + 7
Step-by-step explanation:
Hello!
Slope-Intercept Form: y = mx + b
m = slopeb = y-interceptThe y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.
We can find the slope by finding the Rise/Run.
The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.
Given the slope and y-intercept, the equation of the line is y = -3x + 7.