A car purchased for $15,000 depreciates under a straight-line method in the
amount of $950 each year. Which equation below best models this
depreciation?
A. y = 15000x-950
OB. y = 15000 +950x
OC. y = 15000-950x
OD. y = 15000x+950
Answers
Answer:
i can't send full page of it sorry
The equation y = 15000 - 950x best models the depreciation.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The equation y = 15000 - 950x.
Here, y represents the value of the car after x years.
The initial value of the car is $15,000, which means the value of the car at x = 0 is $15,000.
The car depreciates by $950 each year, so after one year, the value of the car will be $15,000 - $950 = $14,050.
After two years, the value of the car will be $14,050 - $950 = $13,100, and so on.
This linear relationship between the value of the car and the number of years can be modeled by the equation y = 15000 - 950x,
where 15000 is the initial value and -950x represents the amount of depreciation each year.
Thus,
The equation y = 15000 - 950x best models the depreciation.
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Related Questions
What is The converse of p→q
Answers
Answer:
q→p
Step-by-step explanation:
The converse of p→q is q→p.
which means If q ,then p.
19) Florence has a strip of clothing that is 8 feet long. About how many 2 feet strips can she cut from the 8-foot strip?
I really need help with this
Answers
Answer:
4
Step-by-step explanation:
8/2 is 4
Work out the length of
x.
Give your answer rounded to 3 significant figures.
Answers
The triangle is an isosceles right triangle. Then the value of x will be 1.27 cm.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The right-angle triangle is given below.
The given triangle is an isosceles right triangle.
P = B = x
Then we have
1.8² = x² + x²
2x² = 3.24
x² = 1.62
x = 1.27 cm
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Please pick one of the options.
Answers
9880 different possibilities are there in Sally's new combination option second 9880 is correct.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Total unique numbers consists in a Sally locker = 3
From the digits 0 to 39
Total numbers = 40
Apply combination formula:
= C(40, 3)
= 40!/(3!37!)
= 9880
Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.
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A music club has $187 to buy ice cream for a party. Each carton of ice cream costs $4. If the club buys as many cartons as possible, how much money will the club have left?
Answers
Answer:
They would have $3 dollars left over.
Step-by-step explanation:
If you divide 187 by 4, you get 46.75. But if you look again, you can see that the remainder is 3 and it can confirm that it is the left over money that the club has now after buying as many ice cream cartons as possible.
What are the domain and range of the function represented by the set of ordered pairs?
{(-6, 12), (-3, -2), (1, 0), (14, -4)}
A. Domain: {-6, -3, 1, 14}
Range: {-4, -2, 0, 12}
B. Domain: -6 ≤ x ≤ 14
Range: -4 ≤ y ≤ 12
C. Domain: {-4, -2, 0, 12}
Range: {-6, -3, 1, 14}
D. Domain: -4 ≤ x ≤ 12
Range: -6 ≤ y ≤ 14
Answers
Answer:
A
Step-by-step explanation:
the domain is the definition of the valid x (input) values.
the range is the definition of the valid y (result) values.
as the function is defined by listing the specific points, the function only consists of individual points and not of connecting lines.
therefore the domain and range cannot be continuous intervals (otherwise the function would suddenly also include points not in the original list).
so, B and D are wrong.
and A is right, because the domain contains the x values, and the range the y values.
18. The desired density of the shaved ice is 0.697 g/cm3, and the cost, per kilogram, of ice is $3,83. Determine
and state the cost of the ice needed to make 50 snow cones.
Answers
The cost of the ice needed to make 50 snow cones is $54.50.
What is cost of the ice?The first step is to determine the volume of the snow cone.
Volume of the snow cone =volume of a cone + volume of the hemisphere
Volume of the cone = 1/3πr²h
1/3 x 3.14 x 10.2 x (8.3/2)² = 183.87 cm³
Volume of the hemisphere = 2/3πr³
2/3 x 3.14 x (8.3 / 2)³ = 224.43 cm³
Total volume = 224.43 cm³ + 183.87 cm³ = 408.30 cm³
Volume of 50 snow cones = 408.30 cm³ x 50 = 20,414.82
Total grams of ice needed = density x volume
0.697 x 20,414.82 = 14,229.13 grams
Convert gram to 1kg
1kg = 1000g
= 14,229.13 grams / 1000 = 14.23kg
Cost of the ice = 14.13 x 3.83 = $54.50
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Please I need help ASAP
Answers
Answer: 50 mg
Step-by-step explanation:
Substituting into the half-life formula, we get that
[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]
So, after 100 years,
[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/tex]
Andrew's number is 4 less than Sophia's number. The
sum of their numbers is 46. Find the numbers
Answers
tn=2(n-1)
Given the formula for the nth term, state the first 5 terms of each sequence.
Answers
Answer:
0, 2, 4, 6, 8
Step-by-step explanation:
substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term
2 (1) -2 = 0 first term
2 (2)-2 = 2 second
2 (3)-2 = 4 third
2 (4)-2 =6 fourth
2 (5)-2 =8 fifth
jackson bought 3 pounds of candy for $9.60.
What was the price of this candy in cents per pound ?
PLS HELP ITS DU IN 5 MIN !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
320 cents per pound
Step-by-step explanation:
so we do 9.60 divided by 3, which is 3.20. So, 3.20 for each pound. Now we need in cents. 3 dollars is 300 cents, plus another 20, so 320 cents. I hope this helped.
a. The velocity, v, of an object is moving in a medium at time t is given by
t = √ 30² +50+2 du. Evaluate t.
+
Answers
The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
Velocity of the object moving in the medium
The velocity of the object moving in the medium is given as;
t = ∫(3u² + 5u + 2)du
the value of t is obtained by integrating the function as follows;
t = (3u³)/3 + (5u²)/2 + 2u
t = u³ + 2.5u² + 2u
Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
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Write the standard number.
3.6 * 10^-6
Answers
Answer:
The answer is 0.0000036.
Step-by-step explanation:
Move the decimal place 6 spaces to the left. I hope this helps! :)
At her sisters birthday party Cheyenne thought it would be funny to drink lemonade from a party hat if the radius is 4.8 cm and the height of a hat is 12 cm how many cubic centimeters of lemonade can Cheyenne pour into the hat
Answers
92.16 pi cm^3.
Step-by-step explanation:
Shape of a party hat : conical
Volume of a cone = (1/3)(pi)(r^2)(h)
(pi(1/3)(23.04)(12))cm^3
Therefore, approximately
92.16 pi cm^3.
What is 5 over 8 expressed as a percent?
Answers
Answer: 62.5%
Step-by-step explanation:
5/8 = 0.625
0.625 x 100 = 62.5
solve the equation
x + 10 = 20
Answers
10+10=20
The ________________ measures the spread of the middle 50% of the data set.
A. median
B. range
C. interquartile range
D. mode
Answers
Answer:
C. interquartile range
Step-by-step explanation:
using this to show im right
"The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest."
Hope This Helped
15 ( y - 4 ) - 2 (y - 9 ) + 5 (y + 6) = 0
Answers
Answer:
y = 2/3
Step-by-step explanation:
Assuming you are looking for "y":
15 * ( y - 4 ) - 2 * (y - 9 ) + 5 * (y + 6) = 0
15y - 60 - 2y + 18 + 5y + 30 = 0
15y - 2y + 5y -60 + 18 + 30 = 0
18y = 60 - 18 - 30
18y = 12
y = 12/18
y = 2/3
What is (f−g)(x) ?
f(x)=x3−3x2+2x−3
g(x)=4x2−5x+7
Enter your answer in the box.
(f−g)(x)=
Answers
Answer:
Step-by-step explanation:
(F-G)(X)=x^4-x^3+2x-6
A group of 31 friends gets together to pay a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?(It is possible that not everyone can be on a team)
Answers
Answer:
10 teams (1 remainder)
Step-by-step explanation:
if each team has 3 players and there are 30 friends, divide that and youll end up with 10 teams. you will also have 1 remaining player
You roll a number cube. What is the probability it will land on a number greater than 5?
Answers
Explanation: there’s 6 sides of a cube if you mark them 1-6 there only one side that you can land on that is greater then 5 which is six also if you need it in percent it’s 16.6%
11 12 13
18
A local charity holds a carnival to raise money. In one
activity, participants make a $3 donation for a chance
to spin a wheel that has 10 spaces with the values, 0,
1, 2, 5, and 10. Whatever space it lands on, the
participant wins that value. Let X represent the value of
a random spin. The distribution is given in the table.
Value of a Spin
0
1
2
5
10
Probability
0.4 0.2
0.2
0.1
0.1
20
Which of the following is the correct interpretation of
P(X<5)?
Answers
The correct interpretation of the probability P(X < 5) is; 0.8
How to Solve Probability?We are given the probability of the spin values are;
Probability of Spin Value of 0 = 0.4
Probability of Spin Value of 1 = 0.2
Probability of Spin Value of 2 = 0.2
Probability of Spin Value of 5 = 0.1
Probability of Spin Value of 10 = 0.1
P(X < 5) simply means the probability of getting a spin value less than 5. Thus;
P(X < 5) = P(0) + P(1) + P(2)
P(X < 5) = 0.4 + 0.2 + 0.2
P(X < 5) = 0.8
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please help anyone i really need it
Answers
Answer:
Median: 21
Eric took the longest
Ed took 18 minutes longer than Mike
Oscar took the shortest amount of time to solve the puzzle
Step-by-step explanation:
The median is the middle amount of the numbers, line them up from smallest to largest and find the number in the middle...the largest number is the person who took the longest...subtract Ed's score (25) from Mike's score (4) to get the answer...and the smallest number is the person who took the shortest amount of time
Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
.
Answers
A parallelogram is a quadrilateral with four sides and the opposite sides of the parallelogram are equal and parallel.
How to show the proof?In the given figure, AB||DC. AD is the transversal, such that:
∠A + ∠D = 180-degrees.
The parallelogram is a quadrilateral with equal such that the interior angles present on the same side of the transversal are supplementary. The sum of supplementary angles is equal to 180-degrees.
From the theorem of same-side interior angles, the supplementary angles present on the parallel lines must be intersected by a transversal.
From the property of transversal, the interior angles on the same side of the transversal are supplementary. Therefore, ∠A and ∠D are supplementary and their sum is equivalent to 180-degrees.
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i need help with this question
Answers
2x2=4
8x4=32
8b2 = 32
What is the volume, in cubic meters of the prism below?
Answers
Answer:
1848 Cubic Meters
Step-by-step explanation:
The volume should be (7*24*22)/2
This is because this object is bascally half of a rectangular prism, so we need to divide the whole product by 2 at the end.
7*24*22 = 3696
3696/2 = 1848
the function f and g are defined follows. f(x)= x+6/x^2-12x+36 g(x) = x+7/x^2-49 for each function, find the domain. write each answer as an interval or union of intervals
Answers
Domain of f(x) is {x | x ≠ 6} and Domain of g(x) is {x | x ≠ +7 and x ≠ +7}.
How to find the domain of a function?The domain of a function is the set of all input values that make the function possible.
Now, for f(x) = (x + 6)/(x² - 12x + 36)
To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;
x² - 12x + 36 = 0
Solving this using quadratic formula gives; x = 6. Thus, domain of f(x) is;
Domain = {x | x ≠ 6}
Now, for g(x) = (x + 7)/(x² - 49)
To find the domain, we equate the denominator to zero to find the numbers that can't be a domain. Thus;
x² - 49 = 0
Solving this using quadratic formula gives; x = +7 or -7. Thus, domain of g(x) is; Domain = {x | x ≠ +7 and x ≠ +7}
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Follow the steps below for the following set of data. In your final answer include all of your calculations and all work in steps 1, 2, and 3.
8, 3, 5, 5, 4, 7
Find the median, lower quartile, and upper quartile of the set of data.
Use the median, lower quartile, upper quartile, lowest value, and highest value of the set to construct a box-and-whisker plot on your own sheet of paper.
Use the box-and-whisker plot to find the range and the interquartile range of the set of data.
Answers
The answers to the question are
Median = 5Lower quartile = 4Upper quartile = 7What is the median?The median of the data set is gotten by arranging the values in order
3, 4, 5, 5, 7, 8
The median can be gotten by
5 + 5 / 2
= 10/2
Median = 5
What is the lower quartile?This is the value under which 25 percent of the data are found in the group of data. The lower quartile is 4.
What is the upper quartile?This is the point from which 75 percent of the data is found when it is in ascending order. The upper quartile is 7.
What is the lowest valueThe lowest value in the data set is 3
What is the highest valueThe highest value in the data set is 8
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Write the geometric sequence in function notation.
Answers
Answer:
d
Step-by-step explanation:
A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters
Answers
Answer:
761.25 m³
Step-by-step explanation:
l = 15 , w = 14.5 , h = 3.5
Volume of a rectangular prism is given by the formula :
V = lwh
V = 15 × 14.5 × 3.5
V = 761.25
Units will be m³
I am attaching an image for visual understanding
Hope this helped and brainliest please.