Option 3 is correct.
The formula needed for Excel to calculate the monthly payment needed to pay off a mortgage for a house that costs
189,000with a fixed APR of 3.1
=PMT(3.1/12,32*12,-189000)
This formula uses the PMT function in Excel, which stands for "Present Value of an Annuity." The PMT function calculates the monthly payment needed to pay off a loan or series of payments with a fixed annual interest rate (the "APR") and a fixed number of payments (the "term").
In this case, we are calculating the monthly payment needed to pay off a mortgage with a fixed APR of 3.1% and a term of 32 years. The formula uses the PMT function with the following arguments:
Rate: 3.1/12, which represents the annual interest rate (3.1% / 12 = 0.0254)
Term: 32*12, which represents the number of payments (32 years * 12 payments per year = 384 payments)
Payment: -189000, which represents the total amount borrowed (the principal amount)
The PMT function returns the monthly payment needed to pay off the loan, which in this case is approximately 1,052.23
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Solutions
2
1) f(x) = x, and the transformed version of the function, g(x)
=
f(2(x + 1)) - 10
Answer:
Step-by-step explanation:
its 6
Are the following expressions equivalent? How do you know?
-2(x-1)+3(x+2) and x+8
Yes, these expressions are equivalent.
What are equivalent expressions?Expressions that are equivalent do the same thing even when they have distinct appearances.
When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We may be given equations with algebraic expressions on both sides in some situations.
The two expressions on either side of the equation must be comparable in order for the equation to hold true for all values of the variable. F
According to our question-
-2(x-1)+3(x+2)
further solving gives;
x+8
Hence, Yes, these expressions are equivalent.
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"Complete the table of values and answer these questions. Which function has the greater rate of change between 0 and 1? Which function has the greater rate of change between 1 and 2? Which function has the greater rate of change between 0 and 2?"
1. The complete table is:
x | f(x) | g(x)
0 1 0
1 3 3
2 9 6
2. g(x) has the greater rate of change between 0 and 1 is: g(x).
3. f(x) has the greater rate of change between 1 and 2 is: f(x).
4. f(x) is greater.
How to Find the Rate of Change between an Interval?The rate of change = f(b) - f(a) / b - a.
Given the following functions as:
f(x) = 3^x
g(x) = 3x
1. Complete the table by plugging in each of the values of x:
x | f(x) | g(x)
0 f(0) = 3^0 = 1 g(0) = 3(0) = 0
1 f(1) = 3^1 = 3 g(1) = 3(1) = 3
2 f(2) = 3^2 = 9 g(2) = 3(2) = 6
2. Rate of change between 0 and 1:
a = 0
b = 1
For function f(x) = f(b) - f(a) / b - a = 3 - 1 / 1 - 0 = 2
For function g(x) = g(b) - g(a) / b - a = 3 - 0 / 1 - 0 = 3
The function with the greater rate of change between 0 and 1 is: g(x).
3. Rate of change between 1 and 2:
a = 1
b = 2
For function f(x) = f(b) - f(a) / b - a = 9 - 3 / 2 - 1 = 6
For function g(x) = g(b) - g(a) / b - a = 6 - 3 / 2 - 1 = 3
The function with the greater rate of change between 1 and 2 is: f(x).
4. Rate of change between 0 and 2:
a = 0
b = 2
For function f(x) = f(b) - f(a) / b - a = 9 - 1 / 2 - 0 = 4
For function g(x) = g(b) - g(a) / b - a = 6 - 0 / 2 - 0 = 3
The function with the greater rate of change between 0 and 2 is: f(x).
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Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39. How much money did he receive?
Scott receive 39-26= 13 dollar when Lat Friday Scott had $26. Over the weekend he received ome money for babyitting. He now ha $39.
Money is defined as something that serves as a medium of exchange.
Money has three functions that distinguish it from the rest of the assets: 1) It is a means of change; 2) It is a unit of account; and 3) It is a store of value.
1.- MEANS OF PAYMENT OR CHANGE: basically, it consists of the use of money to make any type of transaction, thus facilitating the exchange of goods, products and services. Deliver one thing for another.
2.- ACCOUNT UNIT: this fulfills the function of determining the units of value, or prices, that the goods, products and services have. It is related to the prices.
3.- DEPOSIT OF VALUE: it consists of being able to buy something in the future. Money has the capacity to remain stable over time, which allows a person who has a capital today to invest it in the following months, or even years
Lat Friday Scott had $26.
Over the weekend he received ome money for babyitting.
He now ha $39.
Scott receive 39-26= 13 dollar
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Nathan bought a wallet for 5% off its full price. What was the full price of the wallet if nathan paid $17. 67 before sales tax?.
The full price of the wallet that Nathan bought before the discount is $18.60
In this case, we are given that:
The total price after the discount = $17.67
Let’s assume that the full price of the wallet is X
The discount = 5% off = 0.05 X
We can find the full price by using this following formula:
Full price – discount price = total price after discount
X – 0.05X = 17.67
0.95X = 17.67
X = 17.67 : 0.95
X = 18.6
Therefore, the full price of the wallet before the discount is $18.6
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Question
Isabella and Penelope are both draining their backyard swimming pools. Isabella’s pool holds 1,700 gallons and she is draining the water at a rate of 2.4 gallons per minute. Penelope’s pool holds 1,350 gallons and she is draining the water at a rate of 1.6 gallons per minute. How long will it take to have the same amount of water in both pools?
how many minutes?
How do I convert 2D to 3D in Autocad 2022?
To convert 2D to 3D in AutoCAD 2022, install Microsoft 3D Builder.
Transform your 2D ideas and designs into 3D models with Autodesk® software. Autodesk software not only enables you to digitally design, visualize and simulate your most complex ideas, but it also eases the transition from 2D to 3D design and engineering processes.
Steps are:
1. Install Microsoft 3D Builder.
2. Uploading an image and converting it to 3D.
3. Which conversion method to choose.
4. Level selection and smoothing.
5. Scale your image to the size you want.
6. Save the image.
7. Export the 3D model for 3D printing or other 3D applications.
8. Rendering the 3D model.
9. Share the 3D model with others.
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The interactions of snakes and mice make up which ecological unit?
A. species
B. community
C. biome
D. population
Answer:
The interactions of snakes and mice make up which ecological unit?
A. species
B. community
C. biome
D. population
Step-by-step explanation:
The best answer here is community. Please see the explanation below.
Ecological UnitsA species is frequently defined in biology as the biggest group of creatures in which any two individuals of the appropriate sexes or mating types may create viable offspring, usually by sexual reproduction. Ex: "A rattlesnake and a cobra are two different species of a snake." OR "The male and female cows we found are the same species."A community, also known as a biological community, is a group or association of populations of two or more distinct species that occupy the same geographical region at the same time. Ex: "There are snakes, mice, and trees in the forest community."A biome is a community of plants and animals that live naturally in a certain region and have common traits. Ex: "The continent of Africa has rich biological diversity because it contains nine biomes."A population is the whole number of inhabitants occupying an area of the same species. Ex: "Ecologists are studying the decline of the red panda population in relation to ecotourism and zoos."Please let me know if this helped!!!
Which of these numbers lies between 8885 and 9885?
a}8875
b}8895
c} 9895
d}9975
Answer:
b
Step-by-step explanation:
How to find the average of 20,30,20,10,10,10
Answer: 4.16
Step-by-step explanation:
Write the equation of the line in standard form:
4y=2x+9
2x - 4y + 9 is the equation of the line in standard form.
What is standard form?Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.
Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.
Lets write the equation of the line in standard form:
4y=2x+9
We know that standard form = Ax + By=C
⇒ 4y = 2x + 9
⇒ 2x - 4y + 9
Here,
Ax = 2x
By = -4x
C = 9
Thus, 2x - 4y + 9 is the equation of the line in standard form.
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PLEASE PLEASE HELP ME!!! Question
Let f(x)=8x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 and a translation of 7 units down.
What is the equation for g(x)?
Enter your answer by filling in the box.
g(x)=
the equation for g(x)= 32x-7
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
EXPLANATION
We want to find the equation for g(x).
First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:
f(x)→4f(x)
Therefore, the function becomes:
4(8x)
=32x
Then, it is translated 7 units down. This means that the function changes as follows:
f(x)→f(x)-7
Therefore, the equation for g(x) is:
g(x)=32x-7
Hence, the equation for g(x)= 32x-7.
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How do you find the end behavior of a graph with Asymptotes?
To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Then calculate the slope of the line and the y-intercept. This will give you the equation of the asymptote.
How to find an asymptote?To find the equation of an asymptote from a graph, look for the line that the graph approaches but never touches. Asymptotes usually run parallel to the x-axis or the y-axis, so look for a straight line that is horizontal or vertical.
Once you have identified the line, calculate the slope of the line and the y-intercept. The slope of the line is the ratio of the change in the y-values to the change in the x-values.
Once you have found the slope and the y-intercept, you can use the slope-intercept form of a line to find the equation of the asymptote: y = mx + b, where m is the slope and b is the y-intercept. This will give you the equation of the asymptote.
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rewrite (-4)^2/7 in radical form
The expression (-4)^2/7 can be written as seventh root 16
What are radicals?The √ symbol that is used to denote square root or nth roots. A radical expression is an expression containing a square root. Radicand is a number or expression inside the radical symbol. Radical equation is an equation containing radical expressions with variables in the radicands.
For example, x^2/3, 3 is the root while 2 is the power of x . therefore the x^2/3 can be written as cube root of x squared.
Similarly in (-4)^2/7 2 is the power of (-4), this means (-4)² = 16
7 is the root of (-4)²
Therefore (-4)^2/7 can be written in radical for seventh root 16.
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A bushel of apples weighs about 42
pounds.
There are 4 pecks in a bushel. It takes
2 pounds of apples to make one pie. How
many pies can you
make with one peck of
apples?
Answer:5
Step-by-step explanation: 42 divided by 4 = 10.5
10.5 divided by 2 = 5.25
round it and you get 5 pies per peck of apples
How do you know if a set of ordered pairs is a function?
The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .
What are Function ?
The Function is defined as a relation that associates each element 'a' from a non empty set A to at least a single element 'b' from another non-empty set B.
For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;
the element 0 has the image as 4 , and the element 2 has the image as 3 .
So , we can see that , the each value of x has exactly only one corresponding value of y .
Therefore , the given ordered pair can be considered as a function .
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2) You go out to breakfast and order a meal that costs $7.24
and a coffee that costs $2.65. You want to leave a 15% tip.
How much will you leave for a tip?
Amount is paid for a tip = $1.48 that is 15% of the total cost.
What is tip?
Amount of money paid by the customer himself to express the gratitude.
towards the hospitality made by the certain service sector.
How much you leave for tip?cost of meal = $7.24
cost of coffee = $2.65
total cost including meal and coffee = $(7.24+2.65) = $9.89
tip is given by customer 15 % of total cost
the amount of tip paid = 15/100×9.89 =$1.48
The customer paid $1.48 along with total cost $9.89.
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Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(−9, 1), B(2, 3), C(12, −2), D(1, −4)
The quadrilateral ABCD indicates that it is a rhombus.
What is rhombus?A quadrilateral with four equal-length sides is known as a rhombus in plane Euclidean geometry (plural rhombi or rhombuses). Another name for this object is an equilateral quadrilateral because all of its sides are equal in length.
The rhombus is frequently referred to as a "diamond" after the diamonds suit in playing cards, which resembles the projection of an octahedral diamond, or as a "lozenge," though the former term is occasionally used to refer specifically to a rhombus with a 60° angle which some authors refer to as a calisson after the French sweet , and the latter term is occasionally used to refer specifically
Lets mark the given points onto a graph
As you can see in the graph,
The points given for quadrilateral ABCD indicates that its is a rhombus
As, All sides are equal
opposites sides are parallel
Thus, The quadrilateral ABCD indicates that it is a rhombus.
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Juan bought 7.8 pounds of grapes for 2.85 per pound how much did Juan spend on grapes
Juan needs to spent 22.23 to buy 7.8 pounds of seedless red grapes.
What is a unitary method?A unitary method is a mathematical method for calculating the value of a single unit and then multiplying it by the number of given units.
Given that:
Juan purchased 7.8 pounds of seedless red grapes for $2.85 per pound.
The cost of the unit pound is already given here. To get the cost of 7.8 pounds, multiply the cost of the unit pound by the number of pounds, i.e.
= (7.8×2.85)
= 22.23.
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Which of Newton's Laws explain why the table moves at 0.25 m/s/s when you push on it
Answer:
First Newton's Law of motion
Step-by-step explanation:
a body will remain in it's constant motion or at rest unless acted upon by an external force.
plssss i’ll give points?
d
d
d
d
d
d
d
d
dd
d
d
d
d
Answer:
d
Step-by-step explanation:
How many congruent triangles can be made by joining the midpoints of the sides of triangle?
It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.
What are triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic.
This characteristic is known as the triangle's angle sum property.
If ABC is a triangle, it is written as ABC, where A, B, and C represent the triangle's vertices.
In Euclidean geometry, a triangle is a two-dimensional shape that is represented by three non-collinear points in a single plane.
A closed, two-dimensional shape is a triangle. It is a polygon with three sides. Straight lines make up all of the sides.
The vertex is the intersection of two straight lines. The triangle therefore has three vertices.
Hence, It is proved that a triangle is divided into four congruent triangles by the line segments connecting the middle points of its sides.
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Find the volume of a pyramid with a square base, where the perimeter of the base is 12. 8\text{ m}12. 8 m and the height of the pyramid is 12. 5\text{ m}12. 5 m. Round your answer to the nearest tenth of a cubic meter.
A pyramid with a square base has a volume of 42.67 cubic meters.
What is perimeter?A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a shape is the distance around its edge. A shape's perimeter is always computed by summing the lengths of each of its sides. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length.
Here,
perimeter=12.8 m
side=12.8/4
=3.2 m
volume=1/3*3.2²*12.5
=1/3*128
=42.67 m³
The volume of a pyramid with a square base is 42.67 m³.
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please help me with this question thank you
Answer:
2): x - $31 = $69
Step-by-step explanation:
See attached worksheet. The derivation of the answer, x - $69 = $31 (then x = $100) is shown. Convert the written question into an equation: If x is the amount given the cashier, then once $69 is subracted, Lemon receives $31:
x - $69 = $31
This can be rearranged to: x - $31 = $69, the second answer option. Other options have errors, noted by the red circles. There are no reasons that inequalities are involved, and seemingly random values of $61 and $30 have no relationship to the problem.
Answer:
B) Let x = amount paid to cashier
x - $31 = $69
x = $100
Step-by-step explanation:
We want to determine the amount Lemon paid the cashier. Therefore, the unknown variable is:
Let x = the amount he paid the cashier.If Lemon received $31 in change, then the amount he paid the cashier less the change is equal to the cost of the walnuts:
x - $31 = $69To solve the equation, add $31 to both sides:
x - $31 + $31 = $69 + $31x = $100Therefore, the amount Lemon paid the cashier was $100.
Taub is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Taub made a total of 11 shots altogether and scored a total of 30 points. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y.
Find the measure of angles T and V.
Answer:
m<T = 36*
m<V = 54*
Step-by-step explanation:
2x + 90 + 3x = 180
5x + 90 = 180
5x = 90
x = 18
<T = 2x = 18 * 2 = 36
<V = 3x = 18 * 3 = 54
Hope this helps!
Is 904 divisible by 8?
yes. 904 is divisible by 8 and quotient is 113.
Divisibility Rule of 8
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8. Example: Take number 24344. Consider the last two digits i.e. 344. As 344 is divisible by 8, the original number 24344 is also divisible by 8.
What is an arithmetic progression?
"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."
Let, there are 'n' terms less than 904 divisible by 3.
Now, the first term divisible by 3 is(a) = 3.
The second term divisible by 3 is = 6.
Therefore, the common difference between terms divisible by 3 is(d)
The last term that is less than 904 and divisible by 3 is() 903.
Now, if we compare it with arithmetic progression, then:
The required number is 301.
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I really need help with this question x + 2/3 =9/10
Answer:
x = 7/30
Step-by-step explanation:
x + 2/3 = 9/10
(x + 2/3 = 9/10) * 30 ==> multiply the equation by 30.
30 is the LCM (Least Common Multiple) of 3 and 10.
30x + 2*30/3 = 9*30/10 ==> Now the denominators will be removed,
making the equation much easier to simplify
30x + 60/3 = 270/10 ==> simplify
30x + 20 = 27 ==> solve for x
30x = 7 ==> subtract 20 on both sides
x = 7/30 ==> simplify
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john is making a poster for safety awareness week. His poster has 2 sides of equal length. Which math words and numbers are important in this problem
Answer:
2 sides of equal length meaning the poster is a rectangle
(r^4-3r^3+6r-18)/(r-3) Synthetic Division
The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is r³ + 6.
What is the solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division?The solution of (r⁴ - 3r³ + 6r - 18) / (r - 3) using synthetic division is given below:
(r⁴ - 3r³ + 6r - 18) / (r - 3)
The divisor is +3
The coefficients are:
1 -3 6 -18
Using synthetic division
the first coefficient is 1
the second coefficient = 1 * 3 + -3
the second coefficient = 0
the third coefficient = 0 * 3 + 6
the third coefficient = 6
the fourth coefficient = 6 * 3 + (-18)
the fourth coefficient = 0
Therefore, the solution = 1(r⁴/r) + 0(r³/r) + 6(r/r) + 0
the solution = r³ + 6
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