The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
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Write an inequality that represents the graph.
Answer:
y>1/2x+2
Step-by-step explanation:
The store ordered an equal amount of flour and rice. Flour is packed in 60 kg and rice in 50 kg. How many kilograms of flour and rice will you order if the store warehouse has a maximum of 22 bags?
What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?
O A. x= -8 and x = 3
O B. x = -4 and x = 6
O C. x= -6 and x = 8
O D. x= -8 and x = 2
EUR
Answer:
A
Step-by-step explanation:
The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given quadratic equation is 2x²+10x-48=0.
Here, x²+5x-24=0
x²+8x-3x-24=0
x(x+8)-3(x+8)=0
(x+8)(x-3)=0
(x+8)=0 and (x-3)=0
x=-8 and x=3
Therefore, option A is the correct answer.
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Help Plz !!!
Suppose a manufacturer knows from previous data that 3.5% of one type of lightbulb are defective. The quality control inspector randomly selects bulbs until a defective one if found.
Is this a binomial experiment? Why or why not?
A. No, because the number of trials is not fixed.
B. No, because each trial cannot be classified as a success of failure.
C. Yes, because the situation satisfies all four conditions for a binomial experiment.
D. No, because the trials are not independent.
The experiment is not a binomial experiment because the number of trials is not fixed.
What is a binomial experiment?
A binomial experiment is an experiment were there is a fixed number of trials and the results are usually between two options- a success or a failure.
The conditions for a binomial experiment include:
Each trial should be classified either as a success or a failure. There are a fixed number of observationsThe trials are indpendent.The number of trials are fixed.To learn more about binomial experiments, please check: brainly.com/question/17139967
a number decreased by 23% equals 123
Answer:
100 is inital value of that decrease
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)
I am asking how this is when I found the median is 14!
Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
1. Construct the Isosceles triangle from given data below : Altitude = 55mm Perimeter = 135mm
Answer:
base: 22 37/54; sides: 56 17/108
Step-by-step explanation:
If we let x represent half the length of the base, and y represent the length of the side, then we have ...
2x +2y = 135 . . . . . perimeter relation
x^2 +55^2 = y^2 . . . . Pythagorean theorem relation
Solving for y and substituting into the second equation, we have ...
y = 135/2 -x
x^2 + 3025 = (67.5 -x)^2
3025 = -135x +4556.25 . . . . . . expand, subtract x^2
135x = 1531.25 . . . . . . . . . . add 135x -3025
x = 1531.25/135 = 11 37/108
The length of the base is double this value, 22 37/54.
The length of each side is 67.5 -11 37/108 = 56 17/108.
__
Check
The perimeter is the base plus two side lengths:
22 37/54 + 2(56 17/108) = (22 +112) +37/54 +17/54 = 134 +1 = 135.
help with math asap!
ty in advance :)
Answer:
2.108*10^3
Step-by-step explanation:
Round 2593.6781 to nearest thousandths.
Answer:
The answer is 2593.678
Step-by-step explanation:
Solve this please do the model
Desperately need help on question 2 & 3 !
13
x=15
because of the other one is the only thing
help? please and thanks
What is the perimeter?
8 m
4 m
4 m
12 m
meters
Submit
Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint
Answer:
do you have any image of the question? If yes please pose here.
Answer:
See below:
Step-by-step explanation:
I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.
Please help again forgot everything
Again
Answer:
Option D
Step-by-step explanation:
a/3 = 8/6
a × 6 = 8 × 3
6a = 24
a = 24/6
a = 4
Hence,
Option A is correct
Answer:
4
Step-by-step explanation:
cross multiply
a x 6=3 × 8
or,a=24/6
There fore a=4
A grocery store buys cereal using the cost function c(n) = { 2n when n < 100 1. 9n when 100 ≤ n ≤ 500 1. 8n when n > 500 where n is the number of boxes of cereal the grocery store buys and c(n) is the cost of the cereal. The grocery store then sells the cereal using the sales function s(c) = 1. 3c. What is the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them?.
The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247
From the given function, we can see that the equivalent function for a number of 100 boxes is given as;
c(n) = 1.9n
If n = 100
c(100) = 1.9(100)
c(100) = 190
Hence the cost of 100 boxes will be $190
Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:
[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]
Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247
Learn more on functions here: https://brainly.com/question/17043948
Solve each equation
6y-8-6-8y=4
Answer:
y = -9
Step-by-step explanation:
Combine like terms first; 6y-8y=-2y and -8-6=-14
-2y-14=4.
Then add 14 to both sides.
-2y=18
Lastly, divide both sides by -2
y=-9
Answer: = -9
Step-by-step explanation:
1. subtract -8-6 which equals -14
2. Combine like terms which are -8y and 6y and you should get -2y
3. Add 14 on both sides eliminate the -14 on one side. it should be -2y = 18
4. Now you want to get y all on its own so you divide -2 on both sides -2y/2 = 18/-2
5. and you should be able to cancel out -2y and get y= -9
please ignore the work below it!! i am pretty sure it’s wrong!!
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 2800 cubic feet. Find the dimensions of the pool. The smaller dimension of the pool is enter your response here ft and the larger dimension is enter your response here ft.
Answer:
smaller: 10 ftlarger: 35 ftStep-by-step explanation:
The volume of the pool is given by ...
V = LWH
Here, we have ...
V = 2800 ft³
H = 8 ft
L = 3.5W
Filling in these values, we have ...
2800 ft³ = (3.5W)(W)(8 ft)
100 ft² = W² . . . . . . . . . . . . divide by 28 ft
W = √(100 ft²) = 10 ft
L = 3.5W = 35 ft
The pool is 10 ft by 35 ft.
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFraction x squared 4 x minus 1 Over x (x 2) EndFraction StartFraction x squared 4 x 1 Over x (x 2) EndFraction StartFraction 4 Over negative 1 (x squared x minus 2) EndFraction StartFraction x squared 6 x 1 Over x (x 2) EndFraction.
The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Learn more on fractions here; https://brainly.com/question/78672
Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
Q.
10² + 20² - 5! = ?
note : ! it's a factorial sign
Goodluck
[tex] = 10 {}^{2} + 20 {}^{2} - 5! \\ = 100 + 400 - \\ (5 \times 4 \times 3 \times 2 \times 1) \\ = 100 + 400 - 120 \\ = 500 - 120 \\ = 380[/tex]
10² + 20² - 5! = ？
Answer:-380
Explanation:-=> 10² + 20² - 5!
=> 100 + 400 - (5 × 4 × 3 × 2 × 1)
=> 100 + 400 - 120
=> 500 - 120
=> 380
Helpppp me please omg
the first graph looks right
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
If you want to learn more about acceleration, you can read:
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May I please receive help?
Answer:
um
Step-by-step explanation:
solve the system of equations
y =2x -9
y = x - 4
what is the sign of -5 times (-1/-2)
Answer:
-
Step-by-step explanation:
Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/5-3x)
Answer:
4 - 30x
Step-by-step explanation:
10(2/5-3x)
(10 x 2/5) - (10 x 3x)
4 - 30x
Step-by-step explanation:
10 ×2/5 = 4
10 × -3x = - 30x
= 4 - 30x
Easy math stuff- Geometry- **Requires big bran**
Answer:
8.2 CM
Step-by-step explanation:
ACCORDING TO THE MODEL
radius = 9*2 - 8*2
Diameter = 2 times radius
ok I cant too hard to explain because Im typing so its 8.2cm so
In a quadrilateral ABCD, line AC = x + 6 and line BD = 2x-4. For what value of x Is ABCD a rectangle?
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rectangle are the same length. This means ...
AC = BD
x +6 = 2x -4
10 = x . . . . . . . . add 4-x to both sides
The figure is a rectangle for x=10.