Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
What is sales revenue?Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.
They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.
The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).
So, the sales revenue in the given situation would be:
According to the provided data, the sales revenue will be determined as follows:
= Value of note × PVF of receivable
= $528000 × 0.8638
= $456108
Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
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Correct question:
On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?
Find the least common multiple (LCM) of 24 and 6.
To find the LCM of 24 and 6, we can use the prime factorization method.
First, we find the prime factorization of each number:
24 = 2 x 2 x 2 x 3
6 = 2 x 3
Then, we identify the highest power of each prime factor that appears in either number.
The prime factor 2 appears three times in 24, but only once in 6. Therefore, we take the highest power of 2, which is 2 x 2 x 2 = 8.
The prime factor 3 appears once in both numbers, so we take the highest power of 3, which is 3.
Finally, we multiply these together to get the LCM:
LCM(24, 6) = 8 x 3 = 24
Therefore, the LCM of 24 and 6 is 24.
~~~Harsha~~~
Answer: LCM of 24 and 6 is 24
Step-by-step explanation:
A resort sells an all-included package for a week-long stay at $2000 per person. It costs $1600 for the resort to operate, so the profit is $400 per package. They sell 300 packages every month. The resort wants to increase the price and they estimate that the number of packages sold will decrease by 5 every time they increase the price by $100. What price will maximize the monthly profit? Find the maximal profit, the number of packages, and their price to get that profit.
The resort should sell a number of 255 packages at a price of $2400 per person to maximize their monthly profit and the maximal profit is $613,400.
What do you mean by maximal profit?Maximal profit refers to the highest level of profit that a business or organization can achieve given certain constraints such as cost, demand, or pricing. It is the point at which a company or business generates the most revenue after accounting for all expenses associated with production and distribution of goods or services. To determine the maximal profit, a business will need to find the optimal balance between costs and revenue, while also taking into account factors such as competition and market demand. This involves analyzing a variety of financial metrics such as revenue, cost of goods sold, gross profit margin, and net profit margin, among others.
Let's begin by defining some variables:
P = price of the package
Q = number of packages sold
R = revenue
C = cost
Profit = revenue - cost
Based on the information given, we can create the following equations:
R = P * Q
C = 1600 + 2000 * Q
Profit = R - C = P * Q - (1600 + 2000 * Q)
We want to find the price that will maximize the monthly profit. To do this, we need to find an expression for profit in terms of P only. We can use the equation for C to substitute Q in the expression for profit:
C = 1600 + 2000 * Q
Q = (C - 1600) / 2000
Profit = P * Q - (1600 + 2000 * Q)
Profit =
Profit = P * ((C - 1600) / 2000) - C + 1600
Now we can find the derivative of profit with respect to P:
dProfit/dP = (C - 1600) / 2000
To find the value of P that maximizes profit, we need to set the derivative equal to 0:
dProfit/dP = 0
(C - 1600) / 2000 = 0
C = 1600
This means that profit is maximized when revenue equals cost, which makes sense. Substituting C = 1600 into the expression for profit, we get:
Profit = P * ((1600 + 2000 * Q - 1600) / 2000) - 1600
Profit = P * Q - 1600
Now we need to find the corresponding values of P and Q. We know that for every increase of $100 in price, there will be a decrease of 5 in the number of packages sold. This means that:
Q = 300 - (P - 2000) / 100 * 5
Substituting this into the expression for profit, we get:
Profit = P * (300 - (P - 2000) / 100 * 5) - 1600
To find the maximum profit, we can take the derivative of this expression with respect to P and set it equal to 0:
dProfit/dP = 300 - (P - 2000) / 20 = 0
P = 2400
This means that the price that will maximize the monthly profit is $2400 per person. To find the corresponding number of packages sold, we can substitute this into the equation for Q:
Q = 300 - (2400 - 2000) / 100 * 5 = 255
Therefore, the resort should sell 255 packages at $2400 per person to maximize their monthly profit. To find the maximal profit, we can substitute these values into the expression for profit:
Profit = 2400 * 255 - 1600 = $613,400.
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Help please!!!!!!
!!!!!
Answer: GL = [tex]\sqrt{61}[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem. GL is the hypotenuse.
Given:
a² + b² = c²
Substitue:
AL² + AG = GL²
Find side lengths (count via the coordinate plane given):
6² + 5² = GL²
Square:
36 + 25 = GL²
Add:
61 = GL²
Square root both sides:
[tex]\sqrt{61}[/tex] = GL
La sala de un museo alberga una exposición de insectos.
En total hay 90 insectos y 45 de ellos son mariposas.
¿Qué porcentaje de los insectos son mariposas?
Forty-two divided by seven plus the quantity three divided by six
Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.
What is an expression?Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.
Here,
The mathematical expression is expressed as follows:
=> 42 / 7 + (3 / 6)
We can use the division operations to make the expression simpler:
=> 7 /42 = 6
=> 6 / 3 = 0.5.
The statement is thus more easily expressed as follows:
=> 6 + 0.5
When we add the two numbers, we get:
=> 6.5
Therefore, 6.5 is the abbreviated numerical expression.
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The complete question is " Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six"
In a microscope, the image of a 0.25-millimeter paramecium appears to be 12 millimeters long. What is the scale factor of the dilation?
The scale factor of the dilation is 48.
The scale factor is a mathematical concept that describes the ratio of the lengths, areas, or volumes of two similar geometric figures. Similar figures have the same shape but may have different sizes.
When one figure is a dilation (a type of transformation that changes the size of a figure without changing its shape) of another figure, the scale factor is the ratio of the corresponding side lengths or dimensions of the two figures.
The scale factor of the dilation is the ratio of the length of the image to the length of the original object. In this case, the length of the image is 12 millimeters and the length of the original object is 0.25 millimeters. Therefore, the scale factor is:
scale factor = length of image/length of the original object
scale factor = 12 mm / 0.25 mm
scale factor = 48
So the scale factor of the dilation is 48.
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The rule for the pattern is add one column. What are the next three terms? (3 points) An image of a pattern. Term one has six dots, term two has eight dots, and term three has ten dots. a 15, 20, 25 b 12, 14, 16 c 8, 10, 15 d 6, 8, 10
Answer:
b 12, 14, 16
Step-by-step explanation:
You want the next three terms of a sequence that starts 6, 8, 10, ....
RuleThe rule seems to be "add 2." If we continue to add 2 to each term, we find the next terms to be ...
10 +2 = 12
12 +2 = 14
14 +2 = 16
The next 3 terms are 12, 14, 16.
__
Additional comment
Without the figure, the idea of "add one column" is meaningless. Since answers are in terms of dot counts, it would be more meaningful to describe the pattern in terms of what happens to the dot count.
The area of a rhombus is 20 square miles. One of its diagonals is 10 miles. What is the length of the missing diagonal?
The length of the missing diagonal is 4 miles.
Step-by-step explanation:
GIVEN :
Area of rhombus = 20 square milesDiagonals of rhombus = 10 milesTO FIND :
Length of missing diagonalsUSING FORMULA :
[tex] \longrightarrow{\sf{Area \: of \: rhombus = \dfrac{d_1 \times d_2}{3}}}[/tex]
SOLUTION :
Substituting the given values in the formula to find the length of the missing diagonal :
[tex] \longrightarrow{\sf{Area \: of \: rhombus = \dfrac{d_1 \times d_2}{3}}}[/tex]
[tex] \longrightarrow{\sf{20 = \dfrac{10 \times d_2}{2}}}[/tex]
[tex] \longrightarrow{\sf{20 \times 2= 10 \times d_2}}[/tex]
[tex] \longrightarrow{\sf{40= 10 \times d_2}}[/tex]
[tex] \longrightarrow{\sf{d_2 = \dfrac{40}{10}}}[/tex]
[tex] \longrightarrow{\sf{d_2 = \cancel{\dfrac{40}{10}}}}[/tex]
[tex]\longrightarrow{\sf{\underline{\underline{d_2 = 4 \: miles}}}}[/tex]
Hence, the length of the missing diagonal is 4 miles.
Answer:
The length of the missing diagonal is 4 miles.
Step-by-step explanation:
To find the length of the missing diagonal, we can use the formula for the area of a rhombus, which is:
[tex]\sf\qquad\dashrightarrow Area_{(Rhombus)} = \dfrac{(Diagonal_1 \times Diagonal_2)}{2}[/tex]
We know that the area is 20 square miles and one of the diagonals is 10 miles, so we can substitute these values into the formula as follows:
[tex]\sf\qquad\dashrightarrow20 = \dfrac{(10 \times Diagonal_2)}{2}[/tex]
Simplifying the equation, we get:
[tex]\sf\qquad\dashrightarrow 40 = 10 \times Diagonal_2[/tex]
Dividing both sides by 10, we get:
[tex]\sf\qquad\dashrightarrow \boxed{\bold{\:\:Diagonal_2 = 4\:\:}}\:\:\:\bigstar[/tex]
Therefore, the length of the missing diagonal is 4 miles.
For each polynomial function, (a) list all possible rational zeros, (b) use a graph to eliminate some of the possible zeros listed in part (a), (c) find all rational zer…
For each polynomial function, (a) list all possible rational zeros, (b) use a graph to eliminate some of the possible zeros listed in part (a), (c) find all rational zeros, and (d) factor P(x). P(X)=x^3-2x^2-13x-10
Answer:
(a) ±{1, 2, 5, 10}
(b) attached
(c) {-2, -1, 5}
(d) P(x) = (x +2)(x +1)(x -5)
Step-by-step explanation:
You want the possible and actual rational zeros for P(x) = x^3-2x^2-13x-10, and the factored form of the polynomial.
(a) Rational zerosThe rational root theorem tells you the possible rational zeros of a polynomial will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
The leading coefficient is 1, and the divisors of the constant are {1, 2, 5, 10}, so the possible rational zeros are ...
{±1, ±2, ±5, ±10}
(b, c) Actual zerosThe attached graph shows the actual zeros of P(x) to be {-2, -1, 5}.
(d) FactorsEach zero q corresponds to a factor (x -q). The factored form of the polynomial is ...
P(x) = (x +2)(x +1)(x -5)
In circle S with m/RUT = 17°, find the m/RST.
S
U
Q
R
T
The value of measure of ∠ RST is,
⇒ ∠ RST = 34°
We have to given that;
In circle S with m ∠RUT = 17°
Hence, We get;
⇒ ∠ RST = 2 × ∠ RUT
⇒ ∠ RST = 2 × 17°
⇒ ∠ RST = 34°
Thus, The value of measure of ∠ RST is,
⇒ ∠ RST = 34°
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Please help answer this with good explication and I'll give Thanks , five stars and maybe even brainly.
Andy has X pence. Kelly ha s 7 pence more than Andy . Georgia had a pence less than Andy. Total amount of money they have is 1.48
A) form an equation in terms of x and solve th equation
Let's call the amount of money Andy has "x".
According to the problem, Kelly has 7 pence more than Andy, so Kelly has x + 7 pence.
Georgia has a penny less than Andy, so Georgia has x - 1 pence.
The total amount of money they have is 1.48, which we can write as 148 pence.
So we can set up the equation:
x + (x + 7) + (x - 1) = 148
Simplifying and solving for x:
3x + 6 = 148
3x = 142
x = 47.33
Since we're dealing with pence, we'll round down to the nearest whole number:
x = 47
So Andy has 47 pence, Kelly has 54 pence (47 + 7), and Georgia has 46 pence (47 - 1).
When Joann and Shana were counting the amount of money they had in their wallets, the total was at least$56 and at most $85. If Shana has only in her wallet, which of the following inequalities represents all possible values for the amount of money, j, that Joann has?
The inequality that represents all possible values for the amount of money that Joann has is 21 ≤ J ≤ 50.
What inequalities represents values for the amount of money that Joann has?Let's call the amount of money that Joann has in her wallet "J" and the amount of money that Shana has in her wallet "S".
We know that the total amount of money they have is at least $56 and at most $85. Therefore, we can write two inequalities:
J + S ≥ 56 (the total is at least $56)
J + S ≤ 85 (the total is at most $85)
We also know that Shana has only $35 in her wallet. We can substitute this value for S in the inequalities to get an inequality that represents all possible values for the amount of money that Joann has:
J + $35 ≥ 56 (substituting S = $35 in the first inequality)
J + $35 ≤ 85 (substituting S = $35 in the second inequality)
Simplifying these inequalities by subtracting $35 from both sides, we get:
J ≥ 21 (the amount of money Joann has is at least $21)
J ≤ 50 (the amount of money Joann has is at most $50).
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what's the answer(s) I have no idea how to do this pleaseeeeee
i need answer asap my computer about to die
The answer of the given question based on the graph coordinate is , the rule for the values in the table is: Y = 7X - 0.
What is Coordinate?In mathematics, a coordinate is a set of values that specifies the position of a point in space. Coordinates are used to locate points, lines, and other geometric objects in a plane, a three-dimensional space, or even higher dimensions.
X Y
5 35
1 7
4 28
2 14
One possible way to do this is to calculate the differences between successive pairs of X and Y values, and then see if there is a constant difference or ratio between them.
Taking the first two rows as an example, we have:
X Y
5 35
1 7
The difference between the X values is 5 - 1 = 4, and the difference between the Y values is 35 - 7 = 28. Dividing the difference in Y by the difference in X gives us:
(35 - 7) / (5 - 1) = 28 / 4 = 7
This means that for every increase of 1 in X, the corresponding increase in Y is 7. We can check this for the other pairs of values in the table and see that it holds true:
X Y
5 35
4 28 (decrease of 1 in X, decrease of 7 in Y)
2 14 (decrease of 2 in X, decrease of 14 in Y)
So the rule for the values in the table is:
Y = 7X - 0.
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solve this pleasee!!
Thus, the area of the given trapezium is found toe be 37.8 sq. cm.
Explain about the trapezium:A trapezium is a quadrilateral in two dimensions with one pair of parallel sides. The non-parallel sides of a trapezium are referred to as the trapezium's "legs," while the parallel sides are referred to as its "bases." The length of the legs or the measuring of their angles are used to categorise trapeziums.
Given data:
Height PA = 8 cmSide AR = 6.3 cmAs CA = AR; PQ = 6.3 / 2 = 3.15area of trapezium = 1/2(sum of parallel side) * height
area of trapezium = 1/2(PQ + CR)*PA
area of trapezium = 1/2*(3.15 + 6.3)*8
area of trapezium = 1/2*(9.45)*8
area of trapezium = 37.8 sq. cm
Thus, the area of the given trapezium is found toe be 37.8 sq. cm.
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Please help solving this
Quite urgent, thanks :)
The measure of arc angle QT is determined as 142 ⁰.
The measure of m∠STR is determined as 23⁰.
What is the measure of arc angle QT?The measure of angle subtended by the arc QT is calculated by applying the following formula.
Based on the angle of intersecting chord theorem, we will have the following equation.
m∠QST = ¹/₂( arc QT )
arc QT = 2 (m∠QST)
arc QT = 2 x 71⁰
arc QT = 142⁰
m∠STR = ¹/₂( arc SR )
m∠STR = ¹/₂ x 46⁰
m∠STR = 23⁰
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Find the circumference of the circle. Round to the nearest tenth.
A. 148.4 m
B. 169.6 m
C. 84.8 m
D. 54.0 m
Answer:
C. 84.8 m
Step-by-step explanation:
Circumference of circle = D x 3.14
D = 27 m
Let's solve
27 x 3.14 = 84.78 m
So, the circumference of the circle is C. 84.8 m
Answer:
Option C) 84.8 is the correct answer.
Step-by-step explanation:
Here we have given that the diameter of circle is 27 m and we have to find the circumference of circle. The formula to find circumference of circle is :
[tex]\dashrightarrow\sf{C = \pi d}[/tex]
Where :
C = circumference π = 3.14 d = diameterThus, finding the circumference of circle by substituting the given values in the formula :
[tex]\dashrightarrow\sf{C = \pi d}[/tex]
[tex]\dashrightarrow\sf{C = \pi \times d}[/tex]
[tex]\dashrightarrow\sf{C = 3.14 \times 27}[/tex]
[tex]\dashrightarrow\sf{C = 84.78 \: m}[/tex]
[tex]\dashrightarrow\sf{C \approx 84.8\: m}[/tex]
Hence, the circumference of circle is 84.8 m.
—————————————————If sam can swin 10 laps in 20 minutes, what would be his expected time for 15 laps?
Asnwer: 30 minutes
Explanation:
10 laps in 20 minutes is 1 lap every 2 minutes.
So we get this:
1 lap = 2 minutes
But we want 15 laps, so multiply both sides by 15 to get:
15 laps = 30 minutes
What is the value of r in the equation 3r + 10 − 3r = 15?
Show all the steps by applying inverse operation, then check the answer to get full credit.
Answer:
no solution
Step-by-step explanation:
3r + 10 - 3r = 15 ← collect like terms on left side
10 = 15 ← false statement
this false statement indicates the equation has no solution
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
Okay, based on your previous question and the analysis, the 3 statements that are true about the function f(x) = x2 – 5x + 12 and its graph are:
The graph of the function is a parabola.
The graph contains the point (0, 0).
So the options you should select are:
2) The graph of the function is a parabola.
The graph contains the point (0, 0).
Let me know if selecting options 2 and 5 makes sense! I can provide any additional details or clarification if needed.
Please let me know if you have any other questions! I'm happy to help explain any other concepts related to this quadratic function and its graph.
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 .The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Okay, just to reiterate, based on the previous analysis, the 3 statements that are TRUE about the quadratic function f(x) = x2 – 5x + 12 and its graph are:
The graph of the function is a parabola. (true)
The graph contains the point (0, 0). (true)
The graph of the function opens down. (false, unknown without seeing graph)
The value of f(–10) = 82 (false)
The graph contains the point (20, –8). (false)
So you should select options:
2) The graph of the function is a parabola.
The graph contains the point (0, 0).
Please let me know if selecting these 3 options makes sense and matches the analysis. I can re-explain anything if needed.
Your selected options should be:
2) The graph of the function is a parabola.
The graph contains the point (0, 0).
The graph of the function opens down.
Let me know if these look correct or if you have any other questions! I'm happy to help explain further or go over any part of the analysis.
Please select options 2, 5 and 3 as the statements that are true about the quadratic function and its graph.
Step-by-step explanation:
8x^4 - 3x-7 = [?]
X = -1
Find the surface area of a pyramid (which has 4 triangular sides and 1 square base) that has triangular height of 6 feet and base length of 4 feet.
The surface area of the pyramid is 64 square feet.
What is triangle?
A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.
To find the surface area of the pyramid, we need to find the area of each face and add them together.
First, let's find the area of the base, which is a square with side length 4 feet:
Area of base = 4 feet x 4 feet = 16 square feet
Next, we need to find the area of each triangular face. We know that the height of each triangular face is 6 feet, and the base of each triangular face is one of the sides of the square base, which is 4 feet. To find the area of a triangle, we use the formula:
Area of triangle = 1/2 x base x height
Area of each triangular face = 1/2 x 4 feet x 6 feet = 12 square feet
There are 4 triangular faces, so the total area of all the triangular faces is:
Total area of triangular faces = 4 x 12 square feet = 48 square feet
Now we can find the total surface area by adding the area of the base and the area of the triangular faces:
Total surface area = area of base + area of triangular faces
Total surface area = 16 square feet + 48 square feet
Total surface area = 64 square feet
Therefore, the surface area of the pyramid is 64 square feet.
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f(x)=18x+11 find f(5)
Answer:
101
Step-by-step explanation:
substitute 5 in the x:
=18(5)+11
=90+11
=101
Describe and compare the solution sets of x 1 plus 3 x 2 minus 2 x 3
equals0
and x 1 plus 3 x 2 minus 2 x 3
equalsminus6
.
Question content area bottom
Part 1
Describe the solution set, xequals
left bracket Start 3 By 1 Matrix 1st Row 1st Column x 1 2nd Row 1st Column x 2 3rd Row 1st Column x 3 EndMatrix right bracket,
of x 1 plus 3 x 2 minus 2 x 3
equals
0
in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice.
(Type an integer or fraction for each matrix element.)
To the right of 1.61, 9.24, and 15.09, the area under the X² curve with five degrees of freedom is 0.078, 0.0001, and 0, respectively.
Describe area?A surface's area can be measured in two dimensions by multiplying its length by its breadth. It is employed to determine the size of a room or a plot of land. The size of a shape, like a circle or a square, can also be determined using area. Area is frequently expressed in square metres or square feet.
Here in the question,
(a)1.61
The following formula can be used to determine the area under the 1.61-degree curve with five degrees of freedom to the right:
Area = 1 - Φ(x; df)
Where df stands for the degrees of freedom and (x; df) is the cumulative distribution function of the chi-square distribution.
For df = 5, Φ(1.61; 5) = 0.922.
As a result, 1 - 0.922 = 0.078 represents the area under the 1.61-degree curve with 5 degrees of freedom to the right.
(b) 9.24
For df = 5, Φ(9.24; 5) = 0.9999.
As a result, 1 - 0.9999 = 0.0001 is the value of the area under the X² curve with 5 degrees of freedom to the right of 9.24.
(c) 15.09
For df = 5, Φ(15.09; 5) = 1.
As a result, 1 - 1 = 0 represents the area under the 15.09-based X² curve with 5 degrees of freedom to the right.
The area under the X² curve with five degrees of freedom to the right of 1.61, 9.24, and 15.09, respectively, is 0.078, 0.0001, and 0.
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1. The solution set can be written as:
{x = [t, s, (3/2)t + (3/2)s] : t, s ∈ R}
2. The solution set can be written as:
{x = [t, s, (3/2)t + (3/2)s - 3] : t, s ∈ R}
What is equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".
To find the solution set in parametric vector form for the equation x₁ + 3x₂ - 2x₃ = 0, we can write:
x₁ = t (arbitrarily setting x1 = t)
x₂ = s
x₃ = (3/2)t + (3/2)s
where t and s are arbitrary parameters.
Therefore, the solution set can be written as:
{x = [t, s, (3/2)t + (3/2)s] : t, s ∈ R}
This is a set of infinitely many vectors that lie on a plane in three-dimensional space.
Part 2
For the equation x₁ + 3x₂ - 2x₃ = -6, we can rewrite it as x₁ + 3x₂ - 2x₃ = 0 - 6, which is of the same form as the equation in Part 1, but with a constant on the right-hand side.
Using the same method as in Part 1, we can find the solution set as:
x₁ = t
x₂ = s
x₃ = (3/2)t + (3/2)s - 3
where t and s are arbitrary parameters.
Therefore, the solution set can be written as:
{x = [t, s, (3/2)t + (3/2)s - 3] : t, s ∈ R}
This is also a set of infinitely many vectors that lie on a different plane in three-dimensional space.
Comparing the two solution sets, we can see that they are both sets of infinitely many vectors and have a similar form (parametric vector form). However, they lie on different planes in three-dimensional space, and the second set is shifted downward by 3 units along the third axis.
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i need help please!!!
Five points on the inverse function g(x) = log₄(x) are: (1, 0), (4, 1), (16, 2), (1/4, -1/2), and (2, 0.5).
Finding five points on the functionGiven that
f(x) = 4^x.
To find the inverse of the function f(x) = 4^x,
We need to interchange the positions of x and y and solve for y. So, we have:
x = 4^y
Taking the logarithm base 4 of both sides, we get:
y = log₄(x)
Therefore, the inverse of the function f(x) = 4^x is g(x) = log₄(x)
To find five points on the inverse function g(x), we can choose five x-values and find the corresponding y-values:
If x = 1, then g(x) = log₄(1) = 0, so the point is (1, 0).
If x = 4, then g(x) = log₄(4) = 1, so the point is (4, 1).
If x = 16, then g(x) = log₄(16) = 2, so the point is (16, 2).
If x = 1/4, then g(x) = log₄(1/4) = -1/2, so the point is (1/4, -1/2).
If x = 2, then g(x) = log₄(2) ≈ 0.5, so the point is (2, 0.5).
Therefore, five points on the inverse function g(x) = log₄(x) are: (1, 0), (4, 1), (16, 2), (1/4, -1/2), and (2, 0.5).
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7. Which line segments in circle A are the
radii in this circle?
M
R
B
Answer:
AM and AR
Step-by-step explanation:
A is the center, AR is a radius and so is AM
Which of the following graphs is decreasing when x > 3?
PLEASE HELP ASAP! EXTRA POINTS!! I BEG HELP ME‼️‼️ (please click the picture and pick one GRAPH) PLEASE
Answer:
A. X
Step-by-step explanation:
You want to know which graph is decreasing for x > 3.
DecreasingA graph is decreasing when it slopes down to the right. The only graph in the group that has any decreasing portion is graph X. The decreasing part of that graph is to the right of x = 3, where x > 3.
Graph X is the one you want.
__
Additional comment
All the other graphs are increasing everywhere, so aren't even worth any consideration.
A student is graduating from college in 12 months but will need a loan in the amount of $10,720 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are: Unsubsidized Stafford Loan: annual interest rate of 5.95%, compounded monthly, and a payment grace period of six months from time of graduation PLUS loan: annual interest rate of 6.55%, compounded monthly, with a balance of $11,443.63 at graduation Which loan will have a lower balance, and by how much, at the time of repayment?
according to the question, the PLUS Loan will have a higher balance due at the time of repayment by $233.80 ($11,966.11 - $11,732.31).
what is interest ?Divide the principal times the interest rates, the length of time, and various other factors to arrive at simple interest. Simple return = principle + interest + hours is the marketing formula. The easiest way to compute interest is with this method. The most typical technique to figure out interest is to use a portion of the principal sum. He is only going to pay his share of the 100% interest, for example, if he loans $100 form a friend then agrees to pay it off with 5% interest. $100 (0.05) corresponds to $5. Interest must be paid as you borrow money and must be added to any loans you make. Interest is often determined as a yearly proportion of the loan total. The interest on the loan is this percentage.
given,
To compare the two loans, we need to calculate the total balance due for each loan at the time of repayment. We can start by calculating the balance due for the Unsubsidized Stafford Loan:
Principal: $10,720
Interest rate: 5.95% per year, compounded monthly
Time: 6 months grace period + 6 months repayment = 1 year
Number of periods: 12 months x 1/12 month per period = 12 periods
Using the formula for compound interest, the balance due on the Unsubsidized Stafford Loan after 1 year is:
B = P(1 + r/n)^(nt) + I [(1 + r/n)^(nt) - 1]/(r/n)
where B is the balance due, P is the principal, r is the annual interest rate, n is the number of times per year the interest is compounded, t is the time in years, and I is the monthly payment.
Plugging in the numbers, we get:
B = $10,720(1 + 0.0595/12)^(121) + $0 [(1 + 0.0595/12)^(121) - 1]/(0.0595/12)
B = $11,732.31
Now, let's calculate the balance due for the PLUS Loan:
Principal: $11,443.63
Interest rate: 6.55% per year, compounded monthly
Time: 6 months repayment
Number of periods: 6 periods
Using the same formula for compound interest, the balance due on the PLUS Loan after 6 months is:
B = $11,443.63(1 + 0.0655/12)^(120.5) + $0 [(1 + 0.0655/12)^(120.5) - 1]/(0.0655/12)
B = $11,966.11
Therefore, the PLUS Loan will have a higher balance due at the time of repayment by $233.80 ($11,966.11 - $11,732.31). Thus, the Unsubsidized Stafford Loan will have a lower balance due at the time of repayment compared to the PLUS Loan.
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How do you write 843,400 in scientific notation
Answer:
Scientific notation = 8.434 × 10^5
Scientific e notation = 8.434e5
Engineering notation = 843.4 × 10^3 ---> (thousand; prefix kilo- (k) )
Standard form = 8.434 × 10^5
Translate this sentence into an equation.
Answer:
24 + c = 40
C= Chau’s height
Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.