23.Find the constant rate of change in the value of Car A and in the value of Car B after theinitial depreciation.24.Based on the data in the table and the constant rate of changes for each vehicle, write anequation to predict the value of Car A and Car B at the end of t years
Answers
For Car A:
Initial depreciation = 30000(0.25)
= 7500
Cost = 30000 - 7500
= $22500
Equation = Cost = $22500 - 2000t This is the equation for Car A
For Car B
Initial depreciation = 25000(0.1)
= 2500
Cost = 25000 - 2500 = 22500
Equation Cost = 22500 - 1500t This is the equation for Car B
Related Questions
The Weasley brothers estimate that they will need a thousand galleons just to set up their joke shop, Weasley's Wizarding Wheezes. The first products they are manufacturing are pygmy puffs, and they realize that the cost of making a single box of pygmy puffs is 3 galleons. The brothers would like to estimate the cost, in galleons, of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p. Which of the following equations is the correct equation representing this scenario?
1. ()=3−1000
2. ()=3+1000
3. ()=1000−3
4. ()=1000+3
Answers
The most appropriate choice for linear equation will be given by -
Total cost of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p
C(p) = 3p + 1000
Second option is correct
What is linear equation?
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here,
Initial cost of manufacturing Weasley's Wizarding Wheezes by the Weasley brothers = 1000 galleons
Cost of producing one pygmy puff = 3 galleons
Cost of producing p boxes of pygmy puffs = 3p galleons
Total cost of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p
C(p) = 3p + 1000
Second option is correct
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Complete Question
The Weasley brothers estimate that they will need a thousand galleons just to set up their joke shop, Weasley's Wizarding Wheezes. The first products they are manufacturing are pygmy puffs, and they realize that the cost of making a single box of pygmy puffs is 3 galleons. The brothers would like to estimate the cost, in galleons, of setting up their shop and creating pygmy puffs, as a function of the number of boxes of pygmy puffs produced, p. Which of the following equations is the correct equation representing this scenario?
1) C(p) = 3p - 1000
2) C(p) = 3p + 1000
3) C(p) = 1000p - 3
4) C(p) = 1000p + 3
Devaugn’s age is three times Sydney’s age. The sum of their ages is 52. What is Sydney’s age?Solve by using linear equation.
Answers
ANSWER:
13 years old
STEP-BY-STEP EXPLANATION:
Let x be Devaugn's age and y be Sydney's age.
We establish the following linear equation system:
[tex]\begin{gathered} x=3y \\ x+y=52 \end{gathered}[/tex]We solve the first equation in the second equation:
[tex]\begin{gathered} 3y+y=52 \\ 4y=52 \\ y=\frac{52}{4} \\ y=13 \end{gathered}[/tex]Which means Sydney's age is 13 years old.
Find the length of side x
Answers
[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ x = \sqrt{18^2+15^2~-~2(18)(15)\cos(105^o)} \implies x = \sqrt{ 549 - 540 \cos(105^o) } \\\\\\ x\approx\sqrt{549-(-139.76)}\implies x\approx\sqrt{688.76}\implies {\Large \begin{array}{llll} x\approx 26.2 \end{array}}[/tex]
Make sure your calculator is in Degree mode.
2) Explain the steps on how you would write x + 2y < 8 in slope intercept form.
Answers
ANSWER
[tex]y\leqslant-\frac{1}{2}x+4[/tex]EXPLANATION
The slope-intercept form of a line is,
[tex]y=mx+b[/tex]In this case, we have an inequality but the steps to rewrite it in the slope-intercept form are similar to the ones we would use if we had an equality.
Step 1: subtract x from both sides of the inequality,
[tex]\begin{gathered} x-x+2y\le8-x \\ \\ 2y\le-x+8 \end{gathered}[/tex]Step 2: divide both sides by 2,
[tex]\begin{gathered} \frac{2y}{2}\le\frac{-x+8}{2} \\ \\ y\le\frac{-x+8}{2} \end{gathered}[/tex]Step 3: distribute the denominator and simplify the fractions if possible,
[tex]\begin{gathered} y\le\frac{-x}{2}+\frac{8}{2} \\ \\ y\le-\frac{1}{2}x+4 \end{gathered}[/tex]Hence, the inequality in slope-intercept form is,
[tex]y\leqslant-\frac{1}{2}x+4[/tex]Jamila has a weather station in her backyard. She uses a rain gauge to track the total rainfallduring two storms3) next Jamilia a graph the function describing thursdays rainfall is this graph liner or non-liner? how do you know?4) what does the Y intercept of the graph on Mondays storm mean? does the Y intercept of the graph of Thursday storm have the same meaning?
Answers
a) It's a linear function because if time increases, precipitation increases. I'll graph it. On the graph we observe that the points form a line.
b) Both intercepts have the same meaning.
It means the amount of water (rain) at time = 0, when it still does not started to rain.
WILL GIVE BRAINLIEST
Question 4(Multiple Choice Worth 2 points)
(01.03 LC)
Simplify 4x√3x-x√√3x-2x√√3x.
Ox√3x
x√9x
2x√6x
2x√6x³
Answers
Answer:
[tex]x\sqrt{3x}[/tex]
Step-by-step explanation:
Given expression to simplify:
[tex]4x\sqrt{3x}-x\sqrt{3x}-2x\sqrt{3x}[/tex]
Factor out the common term [tex]\sqrt{3x}[/tex] :
[tex]\implies \sqrt{3x}(4x-x-2x)[/tex]
Carry out the operations inside the parentheses:
[tex]\implies \sqrt{3x}(3x-2x)[/tex]
[tex]\implies \sqrt{3x}(x)[/tex]
Therefore the simplified expression is:
[tex]\boxed{x\sqrt{3x}}[/tex]
Answer:
a) x√(3x)
Step-by-step explanation:
We have to simplify,
→ 4x√(3x) - x√(3x) - 2x√(3x)
Then the simplest form is,
→ 4x√(3x) - x√(3x) - 2x√(3x)
→ 4x√(3x) - 3x√(3x)
→ x√(3x)
Hence, option (a) is correct.
help meeeeeeee pleaseee
thank you
Answers
The Domain of the relation is: -∞ < x < ∞
The Range of the relation is: -∞ < y ≤ -3
What are Domain and Range?
The Domain of the function is the set of x-values for which the function is defined, whereas the Range of the function is the set of y-values for which it is defined.
Let us first determine the Domain.
On the x-axis, the curve starts from x = -∞, and ends at x = ∞
So, the domain of the relation is: -∞ < x < ∞
Next, let us now determine the Range.
On the y-axis, the curve starts from y = -∞, and it ends at y = -3
The Range of the relation is: -∞ < y ≤ -3
Hence the domain and the Range of the graph are: -∞ < x < ∞ and -∞ < y ≤ -3
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The sum of two numbers is 6. If one number is subtracted from the other, the result is 2. Find the numbers.
Answers
The length of the longer leg of a right triangle is three less than twice the length of the shorter leg, and the length of the hypotenuse is five more than twice the length of the shorter leg. If the length of the shorter leg is k, write an equation to find the value of k
Answers
length of the shorter leg = k
length of the longer leg = 2k - 3
length of the hypothenus = 5 + 2k
to solve this problem, we have to use pythagorean theorem
pythagorean theorem states that
[tex]\text{hyp}^2=\text{adj}^2+\text{opp}^2[/tex]hyp = hypothenus
adj = adjacent
opp = opposite
now let's plug in our variables into the equation
[tex](5k+2)^2=(2k-3)^2+k^2[/tex]this is an equation to find the value of k
we can further simplify this to get a quadratic equation
[tex]\begin{gathered} (5k+2)^2=(2k-3)^2+k^2_{} \\ 10k^2+20k+4=(4k^2-12k+9)+k^2 \\ 10k^2+20k+4=4k^2-12k+9+k^2 \\ \text{collect like terms} \\ 10k^2+20k+4-4k^2+12k-9-k^2 \\ (10-4-1)k^2+(20+12)k-9+4_{} \\ 5k^2+32k-5=0 \end{gathered}[/tex]the above written equation can be used to solve for k
note: in opening the bracket
[tex]\begin{gathered} (5k+2)^2=a^2+2ab+b^2 \\ \text{that is the how the bracket opens} \\ a=5 \\ b=2 \end{gathered}[/tex]An ice cream shop has 12 flavors of ice cream. How many ways can you choose three different flavors for a sundae?
Answers
Answer:
chose your top 3 flavors
solve the system by substitution.-3x—6y=45 -5y=x
Answers
The second equation already has the value of x isolated, so in order to solve the system by substitution, we can apply this value of x from the second equation in the first one:
[tex]\begin{gathered} x=-5y \\ \\ -3x-6y=45 \\ -3\cdot(-5y)-6y=45 \\ 15y-6y=45 \\ 9y=45 \\ y=\frac{45}{9}=5 \end{gathered}[/tex]Now that we have the value of y, we can find the value of x:
[tex]x=-5y=-5(5)=-25[/tex]So we have that x = -25 and y = 5.
PLS HELP!!
The equation for the graph is:
y>x-4.
y≤x-4.
y
None of the choices are correct.
Answers
The correct option for the equation of line is; y ≥ x - 4.
What is termed as the equation of line?A line's equation can be formed using the slope of a line and a point just on line. The slope of a line is its inclination with respect to the positive x-axis, and it is represented as a numeric integer, small percentage, or the tangent of a angle it makes with respect to the positive x-axis. The term "point" refers to a coordinate system point with the x and y coordinates.For the given question;
Consider two points lying on the line.
(x₁, y₁) = (4, 0)
(x₂, y₂) = (0, -4)
The, the slope of the line is found using;
slope = m = (y₂ -y₁)/(x₂ - x₁)
m = (-4 - 0)/(0 - 4)
m = 1
Now, the standard form of equation of line is;
y - y₁ = m(x - x₁)
Put the values,
y - 0 = 1(x - 4)
y = x - 4
As, the origin of the coordinates axis and the shaded portion lies on the opposite side of the line, thus the inequality used is greater than equal to.
y ≥ x - 4
Thus, equation of line obtained for the given graph is y ≥ x - 4.
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8x - 7=7x - 2What is the answer?
Answers
The given equation is
[tex]8x-7=7x-2[/tex]First, we subtract 7x on each side.
[tex]\begin{gathered} 8x-7x-7=7x-7x-2 \\ x-7=-2 \end{gathered}[/tex]I NEED HELP ASAP PLEASE!
Answers
The output value of the function is 8 when the input value is -2
What is input and output value ?
A relation's input value is its first value, and its output value is its second. A particular kind of relation called a function is one in which every input value has only one and only one output value.
The value of an input is the independent value, but the value of an output is dependent on the value of the input.
Only data flows, mining flows, and sub processes can use input variables. The variable value that was modified inside a sub process is output using output variables.
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You spend $4 to get into an event and spend $1.25 per soda you buy. In your pocket you have a $20 bill that you can spend at the event
Answers
Answer:
what is the question?
Step-by-step explanation:
Please write the question so i can answer it.
adam owns a restaurant. a new dish is being added to the restaurant's menu. the cost of making the dish is $6.75, and he wants to make a 33% profit on each dish he sells.
what is adam's selling price?
question 1 options: 10.08 5.22 11.33 26.05
Answers
If the cost of making the dish is $6.75, and he wants to make a 33% profit on each dish he sells. adam's selling price is: $8.98.
How to determine the selling price?Using this formula to find the selling price
Selling price = Cost price + (Cost price × Profit percentage)
Let plug in the formula
Selling price = $6.75 + ($6.75 × 33%)
Selling price = $6.75 + $2.2275
Selling price = $8.977
Selling price = $8.98 (Approximately)
Therefore the selling price is the amount of $8.98
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If T is the midpoint of SU, find TU.
S 9x
T 5x+28 U
Answers
The length of each segment ST = 63, TU = 63, SU = 126
What is a midpoint theorem?The midpoint theorem states that “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”
From the given figure
ST = 9x
TU = 5x+28
According to midpoint theorem,
ST = TU
9x = 5x+28
9x-5x = 28
4x = 28
x = 7
It means,
ST = 9×7 = 63
TU = 5×7+28 = 35+28 = 63
SU = ST+TU
= 63+63
ST = 126
Hence, The length of each segment ST = 63, TU = 63, SU = 126
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Identify the vertex and the axis of symmetry of the parabola. Identify pointscorresponding to P and Q.(1, 1), x = 1P'(2, 2), Q'(-1.5)(1, 1). x = 1P'(0, 2), Q'(2.0)(1, 1), x = 1P(2.2), Q1-1,5)(1, 1), x = 1PO, 2). Q'12,0)
Answers
The vertex is the minimum/maximum point of the parabola.
This parabola has a dip, minimum point.
Looking at the coordinates, the vertex is at:
Vertex = (1,1)
The axis of symmetry is always the x-coordinate of the vertex coordinate.
That is x = 1.
So,
Axis of Symmetry:
x = 1
Now,
Since x = 1 (vertical line) is the axis of symmetry, we reflect the points P and Q about this line and find the points P' and Q'.
P' = (2,2)
Q' = (-1,5)
-√3+0= -√3
Commutative property of addition
Additive identity Commutative property of multiplication
Multiplicative identity
Answers
The most appropriate choice for properties of addition will be given by-
The correct option will be additive identity
What is addition and its properties?
To find the total of two or more numbers, addition is used
There are some properties of addition
Let a, b and c be three numbers
1) Commutative property
The value of a + b is same as the value of b + a
a + b = b + a
2) Associative property
On adding more than two numbers, changing of bracket is permissible.
(a + b) + c = a + (b + c).
3)Additive identity
There is a number called additive identity. If any number is added to the additive identity, we will get back the same number. Here, 0 is the additive identity
a + 0 = a
4) Additive Inverse
Every number has an additive inverse.
On adding a number with the additive inverse, the result will be additive identity.
-a is the additive inverse of a
a + (-a) = 0
Here,
[tex]-\sqrt{3}+0=-\sqrt{3}[/tex]
0 is the additive identity
So this is the case of additive identity.
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A bag contains 7 red, 4 blue, and 6 yellow marbles. If 3 marbles are selected in succession, what is the probability of selecting blue, then yellow, then blue, if no replacement occurs each time?
Answers
The probability of selecting blue, yellow and blue marble without replacement is 3/170
Number of red marbles = 7
Number of blue marbles = 4
Number of yellow marbles = 6
Total number of marbles = 17
Probability of selecting a red marble = 7/17
Probability of selecting a blue marble = 4/17
Probability of selecting a yellow marble = 6/17
Now the probability of selecting the first blue marble = Number of blue marbles/Total number of marbles. = 4/17
Probability of selecting the yellow marbles = Number of yellow marbles/Number of marbles left after the first draw = 6/16
Probability of selecting the third blue marble = Number of blue marbles/Total number of marbles left after the second draw = 3/15
So the probability of blue, yellow and blue marble is:
4/17*6/16*3/15 = 3/170
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Tabitha has 6 music files, each with 9 songs in it. She is dividing the songs into 7 groups. If each of group will have the same number of songs, how many songs will be left over?
A.
0
B.
3
C.
5
D.
1
Answers
Answer:
5
Step-by-step explanation:
6*9= 54
54/7 = 7 with remain 5
Consider the functions f(x) = (x - 5)^2 + 2 and g(x) = (x + 6)^2 - 4. Which of the following statements is true?
Answers
To solve the question, we can plot the two functions on the same graph as shown below
The blue graph is that for the function g(x)
While that of the red graph is that of the function f(x)
We can observe that the graph of g(x) is
[tex]\begin{gathered} 2-(-4)=6 \\ 6\text{units below f(x)} \end{gathered}[/tex]Also,
[tex]g(x)\text{ is 11 units to left of f(x)}[/tex]Thus, we can see that
The graph of g(x) is shifted 6 units below and 11 units to the left of the graph f(x)
Thus, option C is correct
Mark’s model train can go 12 laps around its track in 4 minutes. If it runs at the same speed, how many laps can the train go in 9 minutes?Rate needed (laps/minutes)Unit RateInterpretation of unit rateExplain your thinking/Justifying your reasonSolution
Answers
rate = 12 laps/4 min = 3 laps/min
3 laps ------------------ 1 min
x ------------------ 9 min
x = (9 x 3) / 1
x = 27 laps in 9 min
Result 27 laps in 9 min
Which set of ordered pairs does not represent a function? o{(-5,-2),(3,-2),(5,-9), (6, -7)} o{(-1, -3),(-4,9), (-7,2), (-3,9)} O {(4,5),(-8,-6), (-7,-1), (6,-1)} o {(-4,-9), (-4,4),(-2,2), (9,5)} Submit Answer
Answers
{(-4,-9), (-4,4),(-2,2), (9,5)}
Because the x values of -4 occurs more than once, the set of ordered pairs is not a function.
Which graph represents the solution set to the system of inequalities? y < -3/4x + 1y > 2/3x - 3
Answers
Since both inequalities don't have the equal to symbol (≤) Both lines must be dashed lines.
So, the top right option can't be.
Now we have 3 options:
If we graph the inequality: y < -3/4x + 1
It has a slope of -3/4 and a y-intercept on 1.
The only available option that represents this inequality is the right bottom one.
Solve for the missing length using trig. Use the calculator below to help you. Round your answer to the nearest tenth. The reference angle measures 190.
Answers
As shown in the figure : we have a right angle triangle
We need to find the value of x
The hypotenuse of the triangle = 29
And x represents the opposite side of the angle 19
So,
[tex]\begin{gathered} \sin 19=\frac{opposite}{hypotenuse} \\ \\ \sin 19=\frac{x}{29} \\ \\ x=29\cdot\sin 19\approx9.44 \end{gathered}[/tex]rounding the answer to the nearest tenth
So,
[tex]x=9.4[/tex]In a bag of Jolly Ranchers, the ratio of blue to red is 3 to 4. If I have a TOTAL of 56 Jolly Ranchers, how many of them are blue?
Answers
Answer: 24
Step-by-step explanation:
Here is a scatter plot: weight (pounds) 25 15 age (weeks) Select all the following that describe the association in the scatter plot. Linear association Non-linear association Positive association Negative association No association
Answers
A linear association is a straight-line relationship between two variables
positive association when above-averagevalues of one tend to accompany above-average values of the
other, and when below-average values also tend to occur together
Hence Linear association and positive association describe the scatter plot in the diagram
The first and the third option is correct
how to solve 2-(×+4)=10
Answers
Given 2-(×+4)=10, to find x, our 1st step will be to open the bracket;
[tex]\begin{gathered} 2-(x+4)=10 \\ 2-x-4=10 \\ -2-x=10 \end{gathered}[/tex]The 2nd step is to add 2 to both sides of the equation, this will give us the below;
[tex]-x=12[/tex]The final thing to do is to multiply both sides of the equation with -1;
[tex]x=-12[/tex]Therefore. x
Proportions relay puzzle
Can you please show work for 11,12,13,14,15,16
Answers
What is cross multiplication?
To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
If w/e = r/t is the given expression, then the formula for cross multiplication can be given as: w*t = r*e
For 11, comparing numerators by multiplying the 'x' on right with 2.5 we get, x - y = 2.5x ⇒ 1.5x + y = 0, only possible if y = -1.5x
Therefore, the blank in 11 should be filled using (-1.5x).
For 12, comparing numerators by multiplying LHS with 6 and RHS with 4, we get, 6(h + y) = 4(h - 12) ⇒ 6h + 6y = 4h - 12 ⇒ 6y = -2h -12
⇒ y = (-1/3)h -2
Therefore, the blank in 12 should be filled using (-1/3)h -2.
Similarly, using cross multiplication and equating denominators for the next four, the blank spaces can be constructively filled.
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