Please answer this!
Tony opens a savings account. The graph represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
Answers
We have been given that a graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
We are asked to find the rate of change and initial value from our given graph.
We know that initial value is the point, where, graph intersects y-axis that is when x is equal to 0.
We can see that graph starts at 5000 on y-axis, therefore, initial value is $5000.
The rate of change will be equal to slope of line. Let us find slope of line using points (0,5000) and (1,7500).
[tex]m=\frac{7500-5000}{1-0}[/tex]
[tex]m=\frac{2500}{1}[/tex]
[tex]m=2500[/tex]
Therefore, the rate of change is $2500 per year.
The equation [tex]y=2500x+5000[/tex] represents the amount of money in dollars that Tony expects to deposit in his account.
The equation [tex]\rm y = 2500x+5000[/tex] represents the amount of money in dollars that Tony expects to deposit in his account.
The rate of change is $2500 per year.
Given that,
Tony opens a savings account.
The graph represents the amount of money in dollars.
Tony expects to deposit in his account in terms of the number of years since opening the account.
We have to determine,
The equation represents the amount of money in dollars that Tony expects to deposit in his account and rate of change per year.
According to the question,
The graph that represents the amount of money in dollars that Tony expects to deposit in his account in terms of the number of years since opening the account.
The rate of change and initial value from our given graph.
The initial value is the point, where, graph intersects y-axis that is when x is equal to 0.
The equation represents the amount of money in dollars that Tony expects to deposit in his account is,
[tex]\rm y = 2500x+5000[/tex]
The graph starts at 5000 on y-axis, therefore, initial value is $5000.
The rate of change will be equal to slope of line.
Let us find slope of line using points (0,5000) and (1,7500).
Therefore,
The slope of line is,
[tex]\rm m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{7500-2500}{1-0}\\\\m = 2500[/tex]
Hence, the rate of change is $2500 per year.
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Related Questions
WHAT IS X/10 /6/8/9X IT IS HARD SO HERE
Answers
Answer:
4/135
Step-by-step explanation:
X/10/6/8/9x
So let's solve
The question can also be written as
X/10×8/6×1/9x
Divide by 2 first
X/5 ×4/3×1/9x
4x/135x
Divide both by x
4/135
6. Given the function
y=f(x), describe the
transformations and
sketch the following
function;
g(x)=2f(1/2 (x-1) )-7
Answers
Answer:
See below.
Step-by-step explanation:
The x - 1 will move whole graph 1 unit to the right.
The 1/2 will stretch it horizontally by a factor 2.
The 2 will stretch it vertically by a factor 2.
The -7 translates it 7 units down.
The Sum of The Angles in a Triangle please dont answer yet have to add attachemnt
Answers
Answer:
<POM=110°
I hope that's what you're looking for
Answer:
Can I have branliest please!
The measurement is 110 degrees
Step-by-step explanation:
To find there are two ways to get it
There is a rule that states to find one of the exterior angles you have to add the other two angles that are not supplementary to the exterior one.
So, you can add 40 + 70 to get 110 degrees
OR
You can find the missing angle in the triangle to get 70
Angle MON and Angle MOP are supplementary
so you can subtract 70 from 180 to get 110
Hope this helps!
Which terms complete the factorization of x2+27x+162 represented by the model?
A. 27,9x, 18x
B. 9, 9x, 18x
C. 27,9x,27x
D. 9,9x,27x
Answers
Answer:
Your not sure??? It's B. (option 2.) I've done that on edge.
Step-by-step explanation:
The terms that should complete the factorization of the given equation should be option b B. 9, 9x, 18x
Calculation of Factorization:Since the equation is [tex]x^2+27x+162[/tex]
So,
[tex]x^2 + 18x + 9x + 162\\[/tex]
x(x + 18) + 9(x + 18)
(x + 9) (x + 18)
So based on this, there are 3 factors i.e. 9, 9x and 18x
Therefore, The terms that should complete the factorization of the given equation should be option b B. 9, 9x, 18x
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HELP! Which shapes are decomposed correctly so that it could be used to to find its area? Assume side lengths are known.
Answers
Answer:
Step-by-step explanation:
c
Answer:
b a d ;) just not c
Step-by-step explanation:
Please helllpppp quickly!!!!
10)
Which of these tables does NOT represent a function?
All of the tables represent functions.
Answers
Answer:
Letter B does not because 3 cannot go to both 6 and 7
Answer:
B
Step-by-step explanation:
The definition of a function is when each input has exactly one output. In table B, the input 3 has 2 outputs. Therefore, it must be B
Need help ASAP!!!!!!
Consider the graph of Angle BAC below.
Suppose angle BAC is reflected over the y-axis. What are the coordinates of angles B’A’C’?
Answers
Answer:
Point B would be 6 A would be 5 and C would be 3
basically, when you reflect something on a graph, its just going to be the same number of points but on the other side of the graph,
so bc you started with -6, when you reflect it you get 6, and so on
Which graph represents a linear function?
Answers
Answer:
a
Step-by-step explanation:
its a line
Answer:
A
Step-by-step explanation:
because it shows the line
Can someone who will answer this question please answer this
Answers
Answer:
CBD=63
Step-by-step explanation:
Since ABD is the total angle which contains CBD and ABC, ABC+CBD=96. With this, you can set up an equation.
6x+27+7x-9=96
13x+18=96
13x=78
x=6
6x+27=6(6)+27=36+27=63 degrees. Hope this helps!
Pls help mw with this
Answers
William is riding on a bike trail that circles the city's park. If the park has a radius of 110 yards, how long is the trail?
Answers
Answer:
220π or 690.8 yds
Step-by-step explanation:
The length of a trail is 690.8 yards
How to determine the length of the trailThe radius of the park is given as:
r = 110 yards
The length of the trail is the circumference of the park.
The circumference is calculated as:
[tex]C = 2\pi r[/tex]
So, we have:
[tex]C = 2 * 3.14 * 110[/tex]
Evaluate
[tex]C =690.8[/tex]
Hence, the length of a trail is 690.8 yards
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The admission fee at a local zoo is $1.50 for children and $4.00 for adults. On a certain day, 2300 people enter the zoo and $7,450.00
is collected. How many children and how many adults attended?
Answers
Answer:
700 children and 1600 adults.
Step-by-step explanation:
Given:
The admission fee at a local zoo is $1.50 for children and $4.00 for adults.
On a certain day, 2300 people enter the zoo and $7,450.00 is collected.
Question asked:
How many children and how many adults attended?
Solution:
Let number of children enter the zoo = [tex]x[/tex]
Then number of adults enter the zoo = [tex]2300-x[/tex]
Total collection = $7,450
Collection from children + Collection from adults = 7450
[tex]1.50\times x+4(2300-x)=7450\\ \\[/tex]
[tex]1.5x+9200-4x=7450\\ \\ 2.5x+9200=7450\\ \\[/tex]
Subtracting both sides by 9200
[tex]-2.5x+9200-9200= 7450-9200[/tex]
[tex]-2.5x=-1750[/tex]
Minus is canceled by minus.
[tex]2.5x=1750[/tex]
Dividing both sides 2.5
[tex]x=700[/tex]
Number of children enter the zoo = [tex]x[/tex] = 700
Number of adults enter the zoo = [tex]2300-x[/tex] = 2300 - 700 = 1600
Thus, 700 children and 1600 adults attended the local zoo on that day.
(5 organisms that live in your house. Identify them and tell me how they interact within the environment and with each other.
Answers
List five living things in your house (people, animals, plants) and how they interact.
Example: Me, mom, dad, plant, dog. Me and my mom talk and I help her. Same with me and my dad. They both help me. All three of us water and take care of the plant. We play with the dog, feed him, and walk him. The dog sometimes plays with the leaves on the plant.
(I hope this gives you an idea)
Which describes the reflection of the figure?
Answers
Answer:
An object and its reflection have the same shape and size, but the figures face in opposite directions. The objects appear as if they are mirror reflections, with right and left reversed. A reflection can be seen, for example, in water, a mirror, or in a shiny surface.
Step-by-step explanation:
Answer:
When the coordinates transfer across x or y axis in the same points but on the opposite side
I hope this helps
Find the missing angle measure of each triangle.
Answers
Answer:
PLEASE MARK AS BRAINLIEST I NEED THEM TO MOVE UP A RANK PLZ
Step-by-step explanation:
1. 57+52=109 angle in a triangle is 180 degrees so 180-109=71
you answer is 71
2. 58+90=148 take away 180 =32
your answer is 32
3. 36+26=62 180-62=18
your answer is 19
4. 38+25=63 180-63=17
you answer is 17
Answer:
1.71°
2. 32°
3. 118°
4. 117°
Step-by-step explanation:
Here we use angle sum property of a triangle the sum of all the angles of a triangle is 180° always and for solving these questions this method is used
1. 57° + 52° + x = 180°
109°+ x =180°
x= 180° - 109°
x = 71°
And similarly we done in all the other questions
What is the volume of the cone below?
A. 3967 units
B. 132 units3
C. 792 units3
D. 264 units3
Answers
Answer:
D
Step-by-step explanation:
v= pi x radius^2 x height / divided by 3
V- pi x 6^2 X 22 /3
pi x 36 x22 /3
792pi/3
=264pi
The volume of the given figure is 264π cubic units.
Given a cone with the height of 22 units and the radius of base is 6 units.
From the general formula of the volume of the cone;
Volume of the cone = [tex]\frac{\pi r^{2} h}{3}[/tex]
where r = radius,
and h = height
In our case,
r = 6
h = 22
Thus,
volume = (π*6²*22)/3
volume = 264π cubic units
Therefore, the volume of the given figure is 264π cubic units.
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what is the vertex of g(x)=1/3(x-3)2
Answers
(
h
,
k
)
(
h
,
k
)
.
(
3
,
−
8
)
if it’s meant to say g(x)=1/3(x-3)-2, the (h,k) is (3,-2).
it depends whether the “k” value is positive or negative, i hope this helped!
Please factor b^2+36=0
Answers
Answer:
b=-√-36
b=+√36
Step-by-step explanation:
b^2+36=0
Substrate 36 from both sides
b^2=-36
Square root both sides
b=+or -√-36
So b=+√-36
Or b=-√-36
The quadratic equation [tex]b^2[/tex] + 36 = 0 does not factor into real numbers due to the presence of a negative constant, but it factors over the complex numbers as (b + 6i)(b - 6i).
The equation [tex]b^2[/tex] + 36 = 0 is a quadratic equation of the form a[tex]x^2[/tex] + bx + c = 0, where a is 1, b is 0, and c is 36. To factor this equation, we first need to move 36 to the other side to set the equation to zero, resulting in [tex]b^2[/tex] = -36. This equation does not factor into real numbers because the square of a real number cannot be negative.
However, we can factor it over the complex numbers as (b + 6i)(b - 6i) = 0 where i is the imaginary unit.
Slingerland Ski Resort offers two Winter Specials. The "Get-Away" and the "Extended-Stay."
Slingerland Ski Resort claims that "Extended-Stay" is a better deal than the "Get-Away." The Get-Away Special
offers two nights of lodging and four meals for $270. The Extended-Stay Special offers three nights of lodging and
eight meals for $435.
Write an equation in Standard Form that represents the Get-Away Special. Let n represent the cost for a night of
lodging and let m represent the cost for a meal.
Answers
Answer:
The equation is:
2n +4m = 2.7 × 10^2
Step-by-step explanation:
Please see the attached file for explanation
Jen interviewed 150 students for the school paper. She found that 90 of the students volunteer at a
charity. What percent of the students volunteer at the charity?
Answers
Answer:
60%
Step-by-step explanation:
90 * 100 = 9000
9000/150 = 60
60%
The percent of the students that volunteer at the charity are 60%.
Total number of students interviewed by Jen = 150
Total number of students who volunteer at charity = 90
Assume that the percent of the students that volunteer at the charity as {x}%. So, we can write -
{x}% of 150 = 90
x/100 x 150 = 90
15x/10 = 90
3x/2 = 90
x = 180/3
x = 60%
Therefore, the percent of the students that volunteer at the charity are 60%.
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. Every week, 2,492 new patients are admitted to a hospital. In a year, about , ANS;
patients are admitted to this hospital.
a. 100,950 b. 1256,000 c. 140,000
Answers
Answer:
130, 000
Step-by-step explanation:
A year has 52 weeks
Weekly admissions are 2492 patients
To get annual number of patients admitted, we get the product of weekly admissions and the number of weeks in a year.
Therefore, for 1 year, the number of patients admitted will be
52*2492=129584 patients. Rounded off to the nearest thousands will be 130, 000 patients
Answer:
c 140,000
Step-by-step explanation:
One year = roughly 52 weeks
52 × 2492
129,584
Closest option is 140,000
Hi, What is 678 divided by -4 times 56xs then added 7h.
Answers
Answer:-9492xs+7h
Step-by-step explanation:Step-by-step explanation:if you do 678 divided by -4 it would be -169.5 then multiply that by 56 witch would be -9492 then times s would be -9492xs then that added to 7h would be -9492xs+7h and your final answer.
678 divided by -4 it would be -169.5 then -169.5x56 would be -9492 so yeah
Find the surface area of the pyramid to the nearest whole number.
Answers
Answer:
20 in
Step-by-step explanation:
What Are Area Formulas?
Area of square = (side) 2
Area of rectangle = length × breadth
Area of triangle = (1/2) × base × height
Answer:its 180
Step-by-step explanation:
i just took the test
What’s the length of the arc for a circle with a radius of 6 and a central angle of 48 degrees
Answers
Answer:
5.02655 units
Step-by-step explanation:
A circle consists of 360 degrees. Thus, 48 degrees is 48/360 of a circle. This relationship transfers to the arc length. The arc length with a central angle of 48 degrees is 48/360 of the entire circle's circumference. Thus:
[tex]Arc(Length) = \frac{48}{360}* 6*2*\pi = 5.02655[/tex]
Four sizes of scaled text are shown. Four rows of text and numbers. The first row contains a question mark followed by the phrase Website text size. The next row contains the number one followed by the phrase Website text size, but smaller than the previous row. The third row contains the number zero point nine three seven followed by the phrase Website text size, but smaller than the previous row. The fourth row contains the number zero point eight seven eight followed by the phrase Website text size, but smaller than the previous row. What is the unknown scale size? Enter your answer as a decimal in the box. Round only your final answer to the nearest thousandth.
Answers
Answer:
1.067 would be the answer your looking for in this question.
The unknown scale size is approximately 0.878.
Explanation:The unknown scale size can be determined by comparing the sizes of the text in each row. We can observe that each row represents a smaller size than the previous row. The first row has a text size of 1, the second row has a smaller text size, the third row has an even smaller text size, and the fourth row has the smallest text size. Therefore, the unknown scale size is between 0.878 and 0.937.
To find the exact scale size, we can estimate the last decimal place. Since the space between the third and fourth small tick marks is divided into ten equal parts, we can estimate the hundredths place to be 3. Therefore, the unknown scale size is approximately 0.878.
How to Factor -6x-18y
Answers
Answer:
-6 (x + 3y)
Step-by-step explanation:
You can't factor out any variables in this case so you should look towards factoring out a number
To fully factor, you find the greatest common factor between terms and extract that, placing it on the outside of the parenthesis.
So you rewrite -18y as -6 times 3y and rewrite -6x as -6 times x.
The factored form of expression (- 6x - 18y) by using GCD (greatest common factor) and factorization method is ''- 6 (x + 3y)''
Given that,
Factor the expression (- 6x - 18y)
Used the concept of GCD (greatest common factor) and factorization method to find the factor.
Here, the expression is,
- 6x - 18y
Since, GCD of 6 and 18 = 6
Hence, take 6 as a common term,
- 6x - 18y
= - 6 (x + 3y)
Therefore, the factor form of expression is ''- 6 (x + 3y)''
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Write the missing base.
1/9=()^2
Answers
Answer: The blank is 1/3
Step-by-step explanation: 1 squared is just 1 and 3 squared is 9. 3 squared is equal to 3 times 3. So 1/3 squared is going to be 1/9. Hope this helps!
Solve x2 = 121. (25 points)
Answers
Answer: 11
Step-by-step explanation:
[tex]x^{2}[/tex] = 121
x = [tex]\sqrt{121}[/tex]
x = 11
Answer: 11
Step-by-step explanation:
Leonard brought 4 liters of orange juice. How many mililiters of juice does he have?
Answers
Answer:
4+x
Step-by-step explanation:
4 and however much juice he had before. there is not enough information to answer this question with certainty.
Leonard has 4000 milliliters of orange juice.
To convert liters to milliliters, we need to use the conversion factor between these two units. There are 1000 milliliters in 1 liter.
Leonard brought 4 liters of orange juice.
To find out how many milliliters of juice Leonard has, we multiply the number of liters by the conversion factor:
[tex]\[ 4 \text{ liters} \times 1000 \text{ milliliters/liter} = 4000 \text{ milliliters} \][/tex]
Therefore, Leonard has 4000 milliliters of juice.
What is the answer please help me because I have to pass my test date
Answers
Answer: The Answer is C.
Step-by-step explanation:
6/2+5
=3+5
=8