a. The y-intercept of the graph is 35,000, which represents the original purchase price of the car. Therefore, the car was purchased for $35,000.
b. We can see from the graph that the car's value becomes 0 after 9 years. Therefore, the car totally depreciates after 9 years.
c. The equation of a straight line can be written as y = mx + b, where m is the slope and b is the y-intercept. The slope of the graph is the rate of depreciation, which is -4000. The y-intercept is the original price of the car, 35000.
So the equation of the straight line depreciation graph is: y = -4000x + 35000
This equation represents the value of the car, where y is the value of the car (in dollars) x is the number of years since the car was purchased and -4000 is the rate of depreciation and 35000 is the original price of the car.
Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten?
Answer:
20%
Step-by-step explanation:
40 pieces total
32 pieces eaten
40 - 32 = 8
8 pieces not eaten
Percentage = (part / whole) x 100%
Percentage = (8 / 40) x 100% = 0.2 x 100%
Percentage = 20%
In a sample of 310 people, 186 completed only high school, 24 completed only some college, 93 completed a two-year or four-year college, and 7 attended graduate school. What proportion of the sample does not have a two-year or four-year college degree
Answer:
The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.
Step-by-step explanation:
Sample of 310 people.
186(only high school) + 42(only some college) did not have have a two-year or four-year college degree.
So
[tex]p = \frac{186+42}{310} = 0.7355[/tex]
The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height, and the volume is 3000 cubic feet. How deep is the pool? In other words, what is the height of the pool?
9514 1404 393
Answer:
6.2 ft
Step-by-step explanation:
The volume of a cylinder is given by ...
V = πr²h
Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...
3000 ft³ = π(2h)²h
(3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³
h = ∛(750/π) ft ≈ 6.2 ft
The pool is about 6.2 feet deep.
Find tan0 where 0 is the angle shown
PLEASE I NEED HELP
Answer:
tan = 12/5..............
overnight a pipe cracked and started to leak into a basement. the graph shows the depth of the water in relation to time. how many inches does the water rise each hour?
Answer:
if a water pipe bursts over night depends on the pressure of the water but i will say a foot or more an hour
Step-by-step explanation:
What is the value (3/4)3
Answer:
9/4
Step-by-step explanation:
Answer:
-(11/4)
Step-by-step explanation:
PLEASE HURRY ASAP:
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
The graph is steeper than the graph of f(x) = x2.
The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Answer:
loong d is it now we know lololololololol
Step-by-step explanation:
Answer:
2,4,5
Step-by-step explanation:
helen spent $7.75 to purchase 23 snacks for the club meeting. chips are
Which sign makes the statement true? 1
The sign that makes the statement true is < (less than): 1/3 < 2/3.
What is inequality?In mathematics, an inequality is a mathematical expression that shows the relationship between two values or quantities, usually indicating which value is greater than, less than, or equal to the other. Inequalities are represented by the symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). For example, x < y means x is less than y, and x ≥ y means x is greater than or equal to y. Inequalities can also involve variables, and can be solved to find the range of values that make the inequality true.
Here,
The statement 1/3 < 2/3 means that the value of 1/3 is less than the value of 2/3. In other words, when we compare the two fractions, we find that 2/3 is larger than 1/3.
To understand this better, we can think of a whole object (e.g. a pizza) that we want to divide into three equal parts. If we take only one of those parts, that would be represented by the fraction 1/3. On the other hand, if we take two of those equal parts, that would be represented by the fraction 2/3. Therefore, 2/3 is a larger fraction than 1/3, which is why the sign < (less than) makes the statement true.
To know more about inequality,
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please solve ive been asking this question so much
Answer: 30
Step-by-step explanation:
ignore the green line
Answer:
What are the answer choices? please post it I really want to help
Step-by-step explanation:
Answer:
I don't get this but it might be -12 for K and -3 for I and -6 for J
Step-by-step explanation:
Needs answer please
Answer:
Your answer is.....
2.4 pound in each bag
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
Answer:
Between [tex]2\frac{1}{3} and 2\frac{3}{5}[/tex]
Step-by-step explanation:
12 ÷ 5 = 12/5 = [tex]2\frac{2}{5}[/tex]
Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.
Answer:
possible answer: 44- parent/ 14 yrs old daughter.
Sorry if i'm wrong
Step-by-step explanation:
Write the exact value of the side length of a square with an area of
95 square units
The side length of the square is a = 9.75 units
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be represented as A
Now , the value of A is
Area of the square = a²
The exact value of the side length of a square with an area of 95 square units can be found by taking the square root of 95.
√95 ≈ 9.74679434481 (approximate value)
Hence , the exact value of the side length of the square is approximately 9.74679434481 units
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In the figure, △XYZ ≅ △MNL.
Find m∠Z.
Answer:
m∠Z= 23°
Step-by-step explanation:
if they're equal, as are their angles
124°+33°= 157°
180°-157°= 23°
m∠Z = 23°
The triangles are congruent. Therefore,
ΔXYZ ≅ ΔMNL
∠Y ≅ ∠N
Therefore,
∠Y = 124°
Sum of angles in a triangle = 180°
33 + 124 + m∠Z = 180°
157 + m∠Z = 180°
m∠Z = 180 - 157
m∠Z = 23°
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The radius of a parachute is shown below.
What is the diameter of the parachute? What is the circumference of the parachute?
Step-by-step explanation:
Diameter is 6 ft
3 ft + 3ft
Please hurry and answer
Answer:
B. cot AStep-by-step explanation:
BECAUSE
COS A ÷ SIN A = COT AMARK ME AS BRAINLISThow do I solve this factoring problem?
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, -30) (6, -36)
(-36 + 30)/(6 - 5) = -6/1 = -6
y + 30 = -6(x - 5)
y + 30 = -6x + 30
y = -6x + 0
y = -6x
Which line plot displays a data set with an outlier?
Answer:
The third plot shows the outlier
Step-by-step explanation:
The other plots dots are closer together than the third image. Therefore making the image that has the outlier would be the third image represented
4% of what number is 39
Answer:
975
Step-by-step explanation:
39 ÷ 4% = 975
Answer:
975Step-by-step explanation:
Formula = Number × 100 = 39 × 100
Percent 4
Following shows the steps on how to derive this formula
Step 1 : if 4% of a number is 39, then what is 100% of the number ? Setup the equation.
39 = Y
4% 100 %
Step 2 : Solve for Y
Using cross multiplication of two fractions , we get
4Y = 39 × 100
4Y = 3900 = 975
100
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
you add 1 to 5 and then you find y but on x you multiple t
Zher and Gabbie are making cookies for the Hospitable Pantry. They only have up to 6 hours to
bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an
hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
Answer:
32x3=96. 20x3= 60. 60 + 96=156 if you make 3 hours of chocolate chip and 3 hours snickerdoodles you will have 156 cookies
Judy will use 2 1/2 cups of flour for each cake she bakes. Judy has 10 cups of flour. What is the maximum number of cakes Judy can bake?
Answer:
4 cakes
Step-by-step explanation:
Given the set of ordered pairs, do the following.
a. mapping
b. table
c. graph
1. {(0, 0), (1, -1), (1, 1), (4, -2), (4, 2)}
2. {(10, 0), (10, 2), (10, 4), (10, 6), (10, 8)}
Find the value of 17
33 rounded to the nearest ten-thousandth.
Answer:
0.5152
Step-by-step explanation:
An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 72 ft of crown molding?
Answer:
Answer: $70
EXPLANATION
Step-by-step explanation:
Given, for a 4 inch wide crown molding:
8 ft length costs $14
Cost of 40 ft length = ?
8 ft length costs $14
To find the cost of 1 ft length,
Divide through by 8
8ft/8 length costs $14/8
1ft costs $1.75
Now, to find the cost of 40 ft length
1ft costs $1.75
1 ft x 40 would cost $1.75
40 ft would cost $70
Therefore, it would cost $70 to buy 40 ft of crown molding
Simply the expression by combining the like terms:
-6j + 4 + 2j - 1
Answer:
-4j + 3 or 3 - 4j
Step-by-step explanation:
you can combine the terms in any order that you want, but i'm going to begin with the j terms.
first, identify the like terms.
-6j + 4 + 2j - 1
then combine the like terms.
-6j + 2j = -4j
now identify the next set of like terms.
-6j + 4 + 2j - 1
combine those like terms.
4 - 1 = 3
after combining the first set of like terms, you're left with: -4j
after combining the second set of like terms, you're left with: 3
therefore the simplified expression is -4j + 3 or 3 - 4j. rearranging those terms doesn't change the answer, so it doesn't matter what order you write it in.
i hope this helps!! have a great rest of your day :)
Please help with this practice quiz!!
Answer:
slope is 9
Step-by-step explanation:
use the formula y=mx+b wherein m is the slope and b is the y-intercept
to solve for m, use formula (y2-y1)/(x2-x1):
[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)
126/14 = 9
sreg
Triangle ABC is reflected across line m to form triangle PRS.
B
R
m
с
Which statement must be true?
O The length of AB = the length of SR
O The length of BC = the length of RP
OMZA = MZS
OmZB = mZR
Answer:
m∠b = m∠r
Step-by-step explanation:
The triangle was reflected across line m.
A reflection is a rigid transformation. A rigid transformation does not change the measurement or size of a shape, so the pre-image and the image are congruent.
The angles on the pre-image corresponds to the angles on the image. This also is for line segments.
This means (for angle measurements):
Angle A is congruent to Angle P
Angle C is congruent to Angle S
Angle B is congruent to Angle R
Option D should be the correct answer.