(a) The right distributive law is proven for S.For S, this is expressed as (a,b)·(c,d)=(a,b)·(c,d)=(a·c,a·d+b·c).
(a,b)·(c,d)=(bd−ad−bc,ac−ad−bc)=(a·c,a·d+b·c).
(b) we can deduce that x=1 and y=0. Hence, the multiplicative identity element for S is (1,0).
(c) For S, this is expressed as (a,b)·(1,0)=(a,b). Let (a,b) be an arbitrary element in S. The multiplicative identity law is proven for S.
What is distributive law?The right distributive law states that the product of a scalar and a vector is equal to the sum of the products of the scalar with each component of the vector.
(a) For S, this is expressed as (a,b)·(c,d)=(a,b)·(c,d)=(a·c,a·d+b·c).
To prove this, we need to show that (a,b)·(c,d)=(a·c,a·d+b·c).
Let (a,b) and (c,d) be two arbitrary elements in S. Then,
(a,b)·(c,d)=(bd−ad−bc,ac−ad−bc)
=(a·c,a·d+b·c).
Therefore, the right distributive law is proven for S.
(b) The multiplicative identity element for S is (1,0). To find this, we need to find a pair of elements (x,y) such that (a,b)·(x,y)=(a,b).
Let (x,y) be an arbitrary pair of elements in S. Then,
(a,b)·(x,y)=(ax−by,ay+bx)
=(a,b).
From this, we can deduce that x=1 and y=0. Hence, the multiplicative identity element for S is (1,0).
(c) The multiplicative identity law states that the product of a scalar and the multiplicative identity element is equal to the scalar itself. For S, this is expressed as (a,b)·(1,0)=(a,b).
To prove this, we need to show that (a,b)·(1,0)=(a,b).
Let (a,b) be an arbitrary element in S. Then,
(a,b)·(1,0)=(a·1−b·0,a·0+b·1)
=(a,b).
Therefore, the multiplicative identity law is proven for S.
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In 2019, the average high school GPA for incoming University of Maryland freshman was 4.32 with a standard deviation of 0.285. Suppose UMD freshman are randomly assigned into groups of 25.
What is the standard deviation of the sampling distribution of all samples like this:
Give the formula with values that you entered in your calculator as a way of showing your work:
The standard deviation of the sampling distribution of all samples is 0.057.
What is the standard deviation?
The standard deviation is a measurement of how much a group of values vary or are dispersed. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Here, we have
Given: In 2019, the average high school GPA for incoming University of Maryland freshmen was 4.32 with a standard deviation of 0.285. Suppose UMD freshmen are randomly assigned into groups of 25.
We have to find the standard deviation of the sampling distribution of all samples.
Let x = High-school GPA scores of students in 2019.
E(x) = 4.32, S.D(x) = 0.285, n = 25
Suppose we consider the sampling distribution of the sample mean of all these samples, then we have
E(x) = 4.32
S.D(x) = 0.285/√25
= 0.057
Hence, the standard deviation of the sampling distribution of all samples is 0.057.
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What will be the new position of the given point (-4,-3) after rotating 180° about the origin?
Answer:
(4,3)
Step-by-step explanation:
The rule (x,y) → (-x, -y)
Helping in the name of Jesus.
The ratio of A to B is 1 : 2 and B to C is 3 : 4. If C has the value of 32, what is the sum of the three numbers?
Answer:
A + B + C = 68
Step-by-step explanation:
A : B = 1 : 2
B : C = 3 : 4
Find the LCM of 2 and 3. LCM = 6
Multiply A : B by 3 and B : C by 2
[tex]\dfrac{A}{B}=\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}\\\\\\\dfrac{B}{C }=\dfrac{3}{4}=\dfrac{3*2}{4*2}=\dfrac{6}{8}[/tex]
A : B = 3 : 6 & B : C = 6 :8
A : B : C = 3 : 6 : 8
A = 3x
B = 6x
C = 8x
It is given that C is 32.
8x = 32
Divide both sides by 8
x = 32÷ 8
x = 4
A = 3*4 = 12
B = 6 * 4 = 24
Sum of three numbers = 12 + 24 + 32
= 68
A computer science teacher wants to show how many lines of code each of her students wrote for a specific assignment. She thought about using a box plot, but in the end she used a line plot. What is the most likely explanation for her choice?
Answer:
Step-by-step explanation:
She chose a line plot because it is an easier way to display the amount of students and how many lines of code they each wrote. That way on a line plot, it displays the number of students, and the frequency amount of times the same number of lines of code were written.
Which of the following is a balance for a single $1856 deposit in an account with an APR of 2.42% that compounds interest quarterly and is invested for six
Answer:
Using the formula for compound interest: A = P(1 + r/n)^(nt) where: A = the balance after the investment period P = the principal amount (the initial deposit) r = the annual interest rate (as a decimal) n = the number of times the interest is compounded per year t = the time the money is invested (in years) We can plug in the values given in the problem: P = $1856 r = 0.0242 (2.42% expressed as a decimal) n = 4 (quarterly compounding) t = 6/12 (6 months expressed as a fraction of a year) A = $1856(1 + 0.0242/4)^(4 * 6/12) A = $1856(1.00605)^2 A = $1931.
Jane and Rob go to the local cafe to have breakfast. A single chocolate muffin has 290 calories, and a blueberry muffin has 270 calories. Both muffins can be bought at the local cafe. The fruit platter has 190 calories and the french toast has 350 calories. A glass of orange juice is 40 calories and milk is 102 calories. The hashbrowns and eggs have twice the calories of the fruit platter. Jane has half a blueberry muffin with a whole fruit platter and a third of a glass of milk for breakfast. Rob has hash browns and eggs with a half glass of orange juice.
What was the smaller amount of total calories consumed, between Jane and Rob? Round to the nearest whole calorie. Do not include units in your answer. For example, if the answer is 19 calories, put 19.
The smaller amount of total calories consumed is 359 calories.
Describe Algebra?Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is a broad area of study that includes a wide range of topics, such as equations, inequalities, functions, polynomials, matrices, and more.
Algebraic expressions are composed of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations, on the other hand, are mathematical statements that assert the equality of two algebraic expressions. Inequalities are mathematical statements that assert the relationship between two algebraic expressions using the symbols "<", ">", "<=", or ">=".
Functions in algebra are mappings from one set of numbers to another set of numbers that obey certain rules. These rules may involve properties such as continuity, differentiability, and invertibility.
Jane consumes:
Half a blueberry muffin: 0.5 * 270 = 135 calories
Whole fruit platter: 190 calories
A third of a glass of milk: (1/3) * 102 = 34 calories
So her total calorie intake is: 135 + 190 + 34 = 359 calories (rounded to the nearest whole calorie).
Rob consumes:
Hashbrowns and eggs: 2 * 190 = 380 calories
Half a glass of orange juice: 0.5 * 40 = 20 calories
So his total calorie intake is: 380 + 20 = 400 calories.
Therefore, the smaller amount of total calories consumed is 359 calories.
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Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.
There is no x-coordinate where the graph of the function [tex]f(x) = e^{-x^{2}}[/tex] has a slope of 0. However, the best answer would be (A) 0.
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
The axis of symmetry for f(x) is x = 1 and h(x) is x=3.
What is axis of symmetry?The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed. The straight line is called the line of symmetry/the mirror line. This line can be vertical, horizontal, or slanting.
Equation:Assuming that f(x) and h(x) are quadratic functions, here's how to find the axis of symmetry for each function:
f(x) = 2x² - 4x + 1
To find the axis of symmetry for f(x), we first identify the coefficients a, b, and c:
a = 2, b = -4, c = 1
Then, we use the formula:
x = -b / (2a) = -(-4) / (2 * 2) = 1
Therefore, the axis of symmetry for f(x) is x = 1. This means that the graph of f(x) is symmetric with respect to the vertical line x = 1.
h(x) = -x² + 6x - 5
To find the axis of symmetry for h(x), we first identify the coefficients a, b, and c:
a = -1, b = 6, c = -5
Then, we use the formula:
x = -b / (2a) = -6 / (2 * -1) = 3
Therefore, the axis of symmetry for h(x) is x = 3. This means that the graph of h(x) is symmetric with respect to the vertical line x = 3.
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The complete question would be:
Two functions are given below: f(x)=2x² - 4x + 1 and h(x)=-x² + 6x - 5. State the axis of symmetry for each function and explain how to find it.
Cubie Corporation has provided the following data concerning its only product: Selling price $ 87 per unit Current sales 13,000 units Break-even sales 11,700 units What is the margin of safety in dollars?
The margin of safety in dollars is $113100
The margin of safety is the value of sales or sales in units that are in excess of the break-even sales or units. The break-even point is where the firm is neither making a profit nor a loss and its total revenue is equal to its total expenses.
The margin of safety can be calculated by deducting the break-even sales value from the budgeted/actual sales value.
The margin of safety in dollars = budgeted/actual sales value - break-even sales value
Margin of safety in dollars = (87 * 13000) - (87 * 11700) = $113100
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a boat is tied to a dock using 2 ropes. what is the length of rope A?
I need an answer to this,
Answer:
use what u learn from the teacher
HELP I NEED THIS ANSWERED PORFAVOR
Answer:
3) x = 19
4) x = 4
Step-by-step explanation:
3) Co interior angles are supplementary.
6x - 30 + 96 = 180
Combine like terms,
6x + 66 = 180
Subtract 66 from both sides,
6x = 180 - 66
6x = 114
Divide both sides by 6,
x = 114 ÷ 6
[tex]\boxed{\bf x = 19}[/tex]
4) When two lines are intersected by a transversal, alternate exterior angles are equal.
7x + 5 = 33
Subtract 5 from both sides,
7x = 33- 5
7x = 28
Divide both sides by 7,
x = 28 ÷ 7
[tex]\boxed{\bf x = 4}[/tex]
The angles and their converse are:
a) ∠9 ≅ ∠22
Parallel lines: q and r.
Converse: if two lines are parallel, then their corresponding angles are congruent.
b) m∠8 + m∠13 = 180
Parallel lines: p and q.
Converse: if two lines are parallel, then their supplementary angles sum up to 180°
c) ∠1 ≅ ∠17
Parallel lines: p and r.
Converse: if two lines are parallel, then their corresponding angles are congruent.
d) ∠16 ≅ ∠20
Parallel lines: q and r.
Converse: if two lines are parallel, then their alternate angles are congruent.
e) m∠2 + m∠22 = 180
Parallel lines: p and r.
Converse: if two lines are parallel, then their supplementary angles sum up to 180°
f) ∠10 ≅ ∠13
No lines are parallel.
Converse: if two angles in a quadrilateral are adjacent then they are said to be congruent.
g) ∠5 ≅ ∠15
Parallel lines: p and q.
Converse: if two lines are parallel, then their opposite angles are congruent.
h) m∠2 + m∠16 = 180
Parallel lines: p and q.
Converse: if two lines are parallel, then their supplementary angles sum up to 180°
How to find the missing angles?a) ∠9 ≅ ∠22
The parallel lines for this to be true are lines q and r.
Converse is if two lines are parallel, then their corresponding angles are congruent.
b) m∠8 + m∠13 = 180
The parallel lines for this to be true are lines p and q.
Converse is if two lines are parallel, then their supplementary angles sum up to 180°
c) ∠1 ≅ ∠17
The parallel lines for this to be true are lines p and r.
Converse is if two lines are parallel, then their corresponding angles are congruent.
d) ∠16 ≅ ∠20
The parallel lines for this to be true are lines q and r.
Converse is if two lines are parallel, then their alternate angles are congruent.
e) m∠2 + m∠22 = 180
The parallel lines for this to be true are lines p and r.
Converse is if two lines are parallel, then their supplementary angles sum up to 180°
f) ∠10 ≅ ∠13
No lines are parallel.
Converse is if two angles in a quadrilateral are adjacent then they are said to be congruent.
g) ∠5 ≅ ∠15
The parallel lines for this to be true are lines p and q.
Converse is if two lines are parallel, then their opposite angles are congruent.
h) m∠2 + m∠16 = 180
The parallel lines for this to be true are lines p and q.
Converse is if two lines are parallel, then their supplementary angles sum up to 180°
3) The co interior angles are supplementary.
Thus:
6x - 30 + 96 = 180
6x + 66 = 180
Subtract 66 from both sides,
6x = 180 - 66
6x = 114
Divide both sides by 6,
x = 24
4) When two lines are intersected by a transversal, the alternate exterior angles are equal.
7x + 5 = 33
Subtract 5 from both sides,
7x = 33- 5
7x = 28
Divide both sides by 7,
x = 4
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Which of the following statements is NOT true? (graph in the picture)
The slope of the line of best fit is 4,744.
The y-intercept of the line of best fit is 9,994.
The slope of the line of best fit means that the value of the house increased
$4,744 each year.
The y-intercept of the line of best fit means that it cost $9,994 to build the house.
The statement that is NOT true is: "The y-intercept of the line of best fit means that it cost $9,994 to build the house."
Hi! Based on the given information and without a visual of the graph, I will provide a general answer using the terms provided. Please note that an accurate response may require additional information or context.
The slope of the line of best fit indicates the rate of change in the value of the house over time, and a positive slope signifies that the value has increased. However, the y-intercept of the line of best fit does not necessarily mean that it cost $9,994 to build the house.
The y-intercept represents the estimated value of the house when the independent variable (usually time) is zero, but it does not account for factors like construction costs, inflation, or changes in the real estate market.
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Cam anyone answer these 4 questions?
Answer:
The first one is correct
Step-by-step explanation:
ITs all good
Solve the systems by substitution.
-y=x
-16=9x-7y
Answer: The solution to the system of equations by substitution is (x, y) = (-1, 1).
Step-by-step explanation:
I need help ASAP PLEASEEEEEEEEE!!!
Answer:
14 units.
Step-by-step explanation:
2(4y - 3) + 2(3y - 1) = 62 Distribute the 2's.
8y - 6 + 6y -2 = 62 Combine like terms
14y -8 = 62 Add 8 to both sides
14y = 70 Divide both sides by 14
y = 5
Now find side QR:
3y - 1
3(5) - 1
15 - 1
14
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If the prisms below are similar, what is the ratio of the height of the smaller prism to the height of the larger prism? V = 15 cm3 V = 405 cm3
The ratio of the height of the smaller prism to the height of the larger prism is 1:sqrt(27).
what is prism?
A prism is a geometric solid that has two parallel and congruent polygonal bases, and the sides connecting the bases are parallelograms. These parallelograms are typically rectangles, but they can also be squares or rhombuses. A prism can be named based on the shape of its base, such as a rectangular prism, triangular prism, hexagonal prism, etc.
Since the prisms are similar, their corresponding sides are proportional. In particular, the ratio of the heights of the prisms is the same as the ratio of their volumes.
Let the height of the smaller prism be h1 and the height of the larger prism be h2. Let the volume of the smaller prism be V1 = 15 cm^3 and the volume of the larger prism be V2 = 405 cm^3. Then:
V1/V2 = (h1^2 * 5) / (h2^2 * 5)
V1/V2 = h1^2 / h2^2
sqrt(V1/V2) = h1 / h2
Substituting the given values, we get:
sqrt(15/405) = h1 / h2
sqrt(1/27) = h1 / h2
1/sqrt(27) = h1 / h2
Therefore, the ratio of the height of the smaller prism to the height of the larger prism is 1:sqrt(27), or approximately 1:5.2.
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Can anyone helppppppp look at picture
The graph of the original triangle and the after the dilation are shown below:
Triangle dilation graph 8.
What is dilation?Dilation refers to the process of expanding or stretching an object or a space in one or more directions. In mathematics, dilation is a geometric transformation that changes the size of an object or a figure by either enlarging or reducing its dimensions, while preserving its shape and orientation.
In the context of image processing and computer vision, dilation is an operation that is commonly used to enhance and extract features from images. It involves convolving an image with a small structuring element or kernel, which slides over the image and replaces each pixel with the maximum value within the kernel.
For a dilation with a scale factor of 0.5 and centered at the origin, each coordinate of the triangle will be multiplied by 0.5. Thus:
J(8,0) will become J'(4,0)
L(-2,0) will become L'(-1,0)
K(4,4) will become K'(2,2)
The graph of the original triangle and the image after the dilation are shown below:
Triangle dilation graph 6
For a dilation with a scale factor of 2 and centered at the point (8,3), each coordinate of the triangle will be multiplied by 2 and then translated by the vector (8,3). Thus:
A (9,8) will become A'(26,14)
C (0,2) will become C'(8,7)
G (3,3) will become G'(14,9)
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Several friends each want to buy a ticket to a football game that costs $75.99. To earn money, they worked extra hours at their job where they each earn $9.10 per hour. The table shows the number of hours each person worked each day. Who earned enough money to buy a ticket? What inequality can you write to represent this situation?
Total earnings < Ticket cost, this inequality represents this situation.
What is inequality ?
The inequality, A declaration of relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Equations and questions can both be used to formulate and answer inequality problems.
How to solve inequalities statements?Write two values being compared in the problem in step one. Decide the first value is greater or less than the second value in step two.In step third Insert inequalities symbol between the first and second values if the first value is greater than the second.
We calculate who earned enough money to buy a ticket,than need to calculate the total amount earned by each friend.
For the total amount earned by each friend by multiplying the number of hours worked by hourly rate,
In Friend 1; 5 hours x $9.10 per hour = $45.50
In Friend 2; 4 hours x $9.10 per hour = $36.40
In Friend 3; 7 hours x $9.10 per hour = $63.70
In Friend 4; 3 hours x $9.10 per hour = $27.30
In Friend 5; 6 hours x $9.10 per hour = $54.60
If each friend earned enough money to buy a ticket, than need to compare their total earnings to the cost of a ticket =$75.99. That is, Total earnings ≥ Ticket cost
Now ,substitute their total earnings for each friend,
In,Friend 1; $45.50 ≥ $75.99 that is Not enough money
In Friend 2; $36.40 ≥ $75.99 that is Not enough money
In Friend 3; $63.70 ≥ $75.99 that is Not enough money
In Friend 4; $27.30 ≥ $75.99 that is Not enough money
In Friend 5; $54.60 ≥ $75.99 that is Not enough money
Nobody of friends earned enough money to buy a ticket,
therefore ,Total earnings < Ticket cost.
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64. A polyhedron has 4 vertices and 4 faces. How
many edges does the polyhedron have?
(F) 4
(G) 5
(H) 6
(J) 8
(K) 16
Answer:
(H)
Step-by-step explanation:
Recall that [tex]V-E+F=2[/tex].
Setting [tex]V=F=4[/tex] yields [tex]E=6[\tex].
When 18 liters of oil were poured out, the oil level went down by 90 %. How much oil was in the tank at first?
Help with question please
A graph of the image of ABC under a dilation whose center is P and scale factor is 2 is shown in the image below.
What is dilation?In Geometry, a dilation can be defined as a type of transformation which typically changes the size of a geometric shape, but not its shape.
In this exercise, we would use an online graphing calculator to plot the image of ABC after a dilation by a scale factor of 2 centered at P.
Based on the image (see attachment), we can logically deduce that each vertex is 2 times as far from center P as the original vertex and each segment is 2 times as long as the original:
Side length A'C' = 8.2 × 2 = 16.4
Side length A'B' = 5.0 × 2 = 10.0
Side length B'C' = 5.8 × 2 = 11.6
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What happens to the surface area of a rectangular prism if you double one dimension? Let's create several examples and see if a pattern emerges.
Let's take a look at Karen's post.
My rectangular prism has sides of 8 units, 6 units, and 5 units. To find the total surface area of the prism, I have to find the area of each face of the prism. There are two faces that have an area of 8(5) = 40 units2, two that have an area of 6(5) = 30 units2, and two that have an area of 8(6) = 48 units2. Adding all the areas I get the surface area is 236 units2.
If the smallest side is doubled the dimensions would be 8 units, 6 units, and 10 units. There are two faces that have an area of 8(10) = 80 units2, two that have an area of 6(10) = 60 units2, and two that have an area of 8(6) = 48 units2. Adding all the areas I get the surface area is 376 units2.
The surface area increased by 140 units2 or a factor of about 1.6.
Now it's your turn.
Come up with a set of dimensions for a rectangular prism, and calculate its surface area.
Double one of the dimensions of your prism. List the new set of dimensions, and find the new surface area.
Describe how doubling one of the dimensions affects the surface area.
Look at your classmates' posts. Add a response to one of the posts stating any patterns you noticed in the calculations of all your classmates, and the effect of doubling on dimension on the surface area.
Use the discussion rubric to see how you will be graded.
Answer:
All you need to do now is plug the numbers in and use the right units.
Step-by-step explanation:
2x22222222222222222222222222222222222222
Answer:
=4.44444444×10UP38
Step-by-step explanation:
that is your answer:)
What is the volume of the solid figure?
Answer:
[tex]625 \: {in}^{3} [/tex]
Step-by-step explanation:
This figure is formed from a cube and a rectangular prism
First, we can find the volume of the cube:
(l (side length) = 5 in)
[tex]v(cube) = {l}^{3 } = {5}^{3} = 125 \: {in}^{3} [/tex]
Now, let's find the volume of the rectangular prism:
(h = 5 in; a (base area) = 20 × 5 = 100 in^2)
[tex]v(prism) = a(base) \times h[/tex]
[tex]v(prism) = 100 \times 5 = 500 \: {in}^{3} [/tex]
In order to find the total volume of this figure, we have to add these two volumes together:
[tex]v(total) = v(cube) + v(prism)[/tex]
[tex]v(total) = 125 + 500 = 625 \: {in}^{3} [/tex]
On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).
Figure ABCD is graphed on a coordinate plane.
ABCD is an isosceles trapezoid. What is the approximate perimeter of ABCD? Round to the nearest tenth.
16.5 units
18.9 units
20.9 units
24.0 units
16.5 I relllllllly hope this helps
−2x + 1 ≥ 5. show work inequality
Answer:
x≥ -2
Step-by-step explanation:
−2x + 1 ≥ 5
-1 -1
-2x ≥ 4
x≥ -2
significant figure of 9,876 ,540,000
Answer:
The number you provided is **9,876 ,540,000**. The significant figures of this number are **10**¹.
The trailing zeros in this number are not significant, so they do not count toward the total number of significant figures
Prove the following: in a group [tex]G[/tex],[tex](a^{m})^{n}=a^{mn}[/tex], for all [tex]a\in G[/tex] and [tex]m,n\in \mathbb{Z}[/tex]?
we have shown that [tex]$(a^m)^n = a^{mn}$[/tex] for all [tex]$a \in G$[/tex] and [tex]$m, n \in \mathbb{Z}$[/tex].
How to prove the given Problem?To prove that in a group G, [tex]$(a^m)^n = a^{mn}$[/tex] for all [tex]$a \in G$[/tex] and [tex]$m, n \in \mathbb{Z}$[/tex], we need to show that both sides of the equation are equal.
We start by simplifying the left-hand side:
[tex]$(a^m)^n = a^{mn}$[/tex]
This is because raising a to the power of m and then to the power of n is the same as raising a to the power of mn. This property is known as the associative property of exponents.
Next, we need to show that the right-hand side of the equation is also equal to [tex]$a^{mn}$[/tex]:
[tex]$a^{mn} = a^{nm}$[/tex]
This is because multiplication is commutative in [tex]$\mathbb{Z}$[/tex], which means that [tex]$mn = nm$[/tex]
Therefore, we have shown that [tex]$(a^m)^n = a^{mn}$[/tex] for all [tex]$a \in G$[/tex] and [tex]$m, n \in \mathbb{Z}$[/tex].
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Karen and Wayne need to buy a refrigerator because theirs just broke. Unfortunately, their savings account is depleted, and they will need to borrow money in order to buy a new one. Sears offers them an installment loan at 14% (add-on rate). If the refrigerator at Sears costs $1,598 plus 5% sales tax, and Karen and Wayne plan to pay for the refrigerator for 3 years, what is the monthly payment? (Round your answer to the nearest cent.)
Karen and Wayne will need to make monthly payments of $66.39 for 3 years to pay off the loan for their new refrigerator for a given sales tax.
The add-on interest loan formula can be used to determine the monthly payment:
(Loan amount + Interest) / the number of payments equals a payment.
We must first determine the refrigerator's total cost, including sales tax:
Final price is $1,598 plus 5% of $1,598.
$1,677.90 is the total price.
Secondly, we must determine the loan's interest rate:
Interest is calculated as Loan Amount * Addition Rate. Ages in years
Interest equals $702.25 when $1,677.90 multiplied by 0.14 by three.
When interest is included, the total loan amount is:
Loan amount = Purchase price plus interest
Total of the loan: $1,677.90 plus $702.25
Amount borrowed: $2,380.15
In the end, we can figure out the monthly payment:
Payment: ($2,380.15) divided by (3 years * 12 months/year) =
monthly payment of $66.39
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