The amount Y (in dollars) Of money in your savings account after X months is represented by the equation Y equals 12.5 X +100 a. graph the linear equation b. how many months will it take for you to save a total of $237.50[QUICK ITS HOMEWORK AND ITS LATE]
Answers
The graph of the linear equation is attached below. After 11 months, the total savings will be $237.50.
What is a saving account?
An account in a retail bank is a savings account. Common characteristics include having a finite number of withdrawals allowed, not having check or connected debit card facilities, having few transfer choices, and not being able to become overdrawn.
Given equation is
y = 12.5x + 100
To find points on the linear equation, putting x = 0, 1 and 2 in the given equation:
y(0) = (12.5 × 0) + 100
y(0) = 100
y(1) = (12.5 × (1)) + 100
y(1) = 12.5 + 100
y(1) = 112.5
y(2) = (12.5 × 2) + 100
y(2) = 25 + 100
y(2) = 125.
The points on the linear equation are (0,100), (1, 112.5), (2,125).
Plot the points and join the points to draw the line to get graph the linear equation.
Putting y = 237.50 in the given equation y = 12.5x + 100:
237.50 = 12.5x + 100
Subtract 100 from both sides:
237.50 - 100 = 12.5x + 100 - 100
137.50 = 12.5x
Divide both sides by 12.5:
x = 137.50/12.5
x = 11
To learn more about graph of linear equation, click on the below link:
https://brainly.com/question/2601781
#SPJ1
Related Questions
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far, Jana has hit the ball 12 times out of 15 attempts. Tasha has hit the ball 9 times out of 10 attempts. Which player has a ratio that means they have a better batting average? Tasha, because she has the lowest ratio since 0.9 > 0.8
B) Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30
C) Jana, because she has the lowest ratio since 0.9 > 0.8
D) Jana, because she has the highest ratio since 27 over 30 is greater than 24 over 30
Answers
Step-by-step explanation:
as the description says, the higher the ratio the better.
9/10 = 0.9
12/15 = 4/5 = 0.8
so, Tasha has the better batting average, as she has the higher ratio.
9/10 = 27/30
12/15 = 24/30
27/30 is higher than 24/30.
Is this a polynomial? 3x^-2-5
Answers
On solving the provided question, we can say that - the value of the following polynomial will be 3x^2 = 5 => x^2 = 5/3
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]3x^{-2}-5[/tex]
3x^2 = 5
x^2 = 5/3
To know more about polynomials visit:
https://brainly.com/question/11536910
#SPJ1
Akira is setting tables at the restaurant where she works. She starts with a pile of 85 napkins, and she places 6 napkins on every table she sets
Write an equation that shows how the number of napkins remaining, y, depends on the number of tables akira sets, x
Answers
Answer: y = 85 - 6x
Step-by-step explanation:
Number of napkins remaining: y
Number of tables set: x
Akira starts out with 85 napkins. So, every time she sets a table, she is losing 6 napkins. The steady rate of napkins lost can be written with the following expression, as she is losing 6 napkins per table.
[tex]-6x[/tex]
These napkins are being removed from the total of 85 napkins:
[tex]85 - 6x[/tex]
The above equation also expresses the number of napkins remaining. Writing it as a proper equation:
[tex]y = 85 - 6x[/tex]
The final answer is: y = 85 - 6x
which is a solution to (x-2)(x+10)=13
Answers
Answer:
answers 3
Step-by-step explanation:
took more thinking than it should've tbh (3-2=1) (3+10=13) 1x13=13
Compare.
2.2O 14/4
A. <
B. >
C. =
Answers
Answer:≤ sorry if it's wrong I'm not a fan of math
Step-by-step explanation:
Will mark brainliest (I also need to find the x and y intercepts)
Answers
Step-by-step explanation:
1. The parabla opens downwards because the y-values only decrease
2. The Vertex is the point with an x-value that creates a line of symmetry and can be noticed as it does not share the same x or y-value with any other point. If you look for it, you will notice that it's (4, -1).
3. As I explained above the x-value of the vertex creates a line of symmetry, therefore you can create the equation for the axis of symmetry by setting it equal to x.
4. X-intercepts are x-values that intersect with the x-axis so look for any points on the x-axis and if there are any, write them down. Y-intercepts are y-values that intersect with the y-axis, so look for any points on the y-axis and if there are any, write them down. If you checked, you should've realized that there are no x-intercepts and that the y-intercept is -6 and it's location is (0, -6).
Find the area of a regular 12-sided polygon inscribed in a circle of radius
8 cm.
Answers
area of n sided polygon inscribed in a circle is
A = (1/2)nr²sin(360/n) (r = radius of circle)
A = (1/2)12*8²*sin30
= 1/2*12*64*1/2
A = 192 square unit
Simplify (3x^2y^5)^3
Answers
Work Shown:
[tex]\left(3\text{x}^2\text{y}^5\right)^3\\\\\left(3\right)^3\left(\text{x}^2\right)^3\left(\text{y}^5\right)^3\\\\27\text{x}^{2*3}\text{y}^{5*3}\\\\27\text{x}^{6}\text{y}^{15}\\\\[/tex]
Explanation:
The outer exponent 3 is "distributed", so to speak, to each term inside the parenthesis. This isn't the actual distribution rule. But we can think of it as such. This is what's happening in the second step.
So we'll cube the coefficient 3 to get 3^3 = 27, and we'll cube x^2 to get x^6, and finally cube y^5 to get y^15.
I used the rule [tex](a^b)^c = a^{b*c}[/tex] for the third step.
A railroad crossing arm that is 20 feet long is stuck with an angle of elevation of 35". Find x and y in the illustration below.
Round to the nearest tenth as needed.
Note: The red line is NOT needed to solve this problem.
20 ft
35
yft
Select the correct response
Ox-32.9 feet; y=12.0 feet
x-11.5 feet, y-16.4 feet
x-12.0 feet, y-32.9 feet
x=16.4 feet, y=11.5 feet
< Previous
Answers
The angle of elevation of a 20-foot railroad crossing arm is fixed at 35 degrees. As necessary, round up to the next tenth. 20 ft, 35 ft, x -11.5 feet, y- 16.4 feet .
What is angle of elevation ?Between the horizontal line and the line of sight, an angle called the angle of elevation is created. The angle of elevation formula tan =QR/PR can be used to calculate the building's height (QR). Therefore, the building has 8 units of height. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, in the depression angle, the line of sight is downward and parallel to the ground.
When we multiply in algebra, we come before a variable with a number. In the same way, xy means to multiply variable x by variable y, while 7xy means to multiply variable x by variable y and then to multiply the entire expression by seven. Due to the complexity of how train-based questions are frequently presented, it is always advisable to read the question thoroughly before responding. After reading the question, try to use a formula in it; this may lead to a direct solution and save you time.
To learn more about angle of elevation refer to :
https://brainly.com/question/21137209
#SPJ1
Which graph represents the solution to 1/7 m < - 1/22
Answers
The graph representing the solution will be of the form a line tending towards left from the point -7/22.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Here the given inequality is less than inequality.
1/7 m < -1/22
Dividing both sides by 1/7, we get,
m < -1/22 ÷ 1/7
m < -1/22 × 7/1
m < -7/22
Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.
Hence the graph of the given inequality is a straight line tending leftwards from -7/22.
Learn more about Inequalities here :
https://brainly.com/question/19526736
#SPJ1
What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?
Answers
Answer: just be positive
Step-by-step explanation:
The length of a rectangle is four times its width. If the area of the rectangle is 196 yd², finds its perimeter.
Answers
Answer:
perimeter = 70 yards
Step-by-step explanation:
⭐What is the area of a rectangle?
area = length * width⭐What is the perimeter of a rectangle?
perimeter = 2(length) + 2(width)Strategy1. Make the equation for the area of the given rectangle and solve for x
2. Substitute x into the expressions of the length and width and solve for the perimeter
Working1. Define the expressions of the length and width of the rectangle
width: x
length: 4x
2. Make the equation for the area of the rectangle
[tex]196yd^2 = 4x * x\\196yd^2 = 4x^2[/tex]
3. Solve for x
[tex]\frac{196}{4} = x^2[/tex] . . . . . . . . . . divide both sides by 4
[tex]49 = x^2[/tex]
[tex]\sqrt{49} = \sqrt{x^2}[/tex] . . . . . . . . square root both sides to isolate x
∴ [tex]7 = x[/tex]
4. Substitute x into the expressions of the length and the width
width: x
width = 7
height: 4x
height = 4(7) = 28
5. Solve for the perimeter
[tex]perimeter = 2(length) + 2(width)[/tex]
[tex]perimeter = 2(28) + 2(7)\\perimeter = 56 + 14\\perimeter = 70[/tex]
IF THIS RESPONSE HELPED YOU, PLEASE MARK IT THE "BRAINLIEST"! :)
Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leaf
clovers during the first 12 minutes of his search. If Nathaniel spends a total of
180 minutes searching in the field, predict the number of four leaf clovers
Nathaniel will find.
Answers
Answer:
30 clovers
Step-by-step explanation:
If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:
[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]
To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:
[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]
Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180
\: [/tex]
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]
on Monday in December, it was -8 degrees Celsius in Harbin China and -2 degrees Celsius and Beijing China on Tuesday and Beijing it was 5 degrees colder than it was the day before what was the new temperature?
Answers
The required temperature in Beijing China is -7°C on Tuesday.
As mentioned in the numeral,
On Monday in December
The temperature in Harbin China is -8°C,
Now,
The Temperature in Beijing china is -2°C
According to the condition, the temperature on the next day in Beijing is 5° degrees colder than it was yesterday since the temperature is becoming colder implying that the temperature is getting decreased by -5°C.
The temperature on Tuesday is given as,
T = -2°C - 5°C [subtracting -5 because the temperature is decreased]
T = - 7°C
Thus, the required temperature in Beijing China is -7°C on Tuesday.
Learn more about temperature scales here:
brainly.com/question/18837348
#SPJ1
If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?
Answers
Answer:
The tree is 44 feet
Step-by-step explanation:
[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]
3 x 1 = 33, so 4 x 11 = 44
The time t in seconds that it takes a car to accelerate to ask mph can be described by T=0.001×0.7 32X^2 +15.417X +603.738 how fast in miles per hour is the car going after 8.55 seconds
Answers
The miles per hour that the car is going after 8.55 seconds is 610.79 miles per hour.
How to calculate the time taken?From the information Illustrated, it should be noted that the t in seconds that it takes a car to accelerate to ask mph can be described by T = 0.001 × 0.732X² + 15.417X + 603.738.
In this case, it is important to note that x in the function simply represents the seconds.
Therefore, based on the information, the miles per hour is the car going after 8.55 seconds will be:
T = 0.001 × 0.732X² + 15.417X + 603.738.
T = 0.001 × 0.732(8.55)² + 15.417(8.55) + 603.738
T = 0.001 × 53.511 × 131.815 + 603.738
T = 610.79
Learn more about time on:
brainly.com/question/26046491
#SPJ1
a restaurant offers 7 appetizers and 9 main courses. In how many ways can a person order a two-course meal
Answers
Cassie rolls a fair number cube with 6 faces labeled 1 through 6. She rolls the number cube 300 times. Which results are
probable to happen according to theoretical probability? Select TWO answers.
Answers
On solving the question, we can say that - the probability of given will be P(a/c) = 3/6 = 1/2
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
here,
the probability that event the dice will roll is 6
and chances of geting even numbers are = 3
so P(a/c) = 3/6 = 1/2
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
What is the reciprocal of 1 4/13
Answers
Answer:
[tex]\frac{13}{17}[/tex]
Step-by-step explanation:
just a tip use math-way in the future it's always been great
Hope this helps!
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
Answers
Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)
where:
m is the slope.(x₁, y₁) are the coordinates of the point.Equation of a line in this caseIn this case, you know:
A line has a slope of 3/8.The line passes through the point (15.2,-7).The point-slope form of the line is written as:
y- (-7)= 3/8(x- 15.2)
y + 7= 3/8(x- 15.2)
Learn more about equation of the line in point-slope form:
brainly.com/question/29761173
brainly.com/question/18617367
brainly.com/question/28764237
#SPJ1
A pre-paid cell phone company charges $10.35 as a monthly access fee and $0.08 per minute of calling time.
Express the monthly cost C in terms of minutes of call time ?
What will the monthly cost be if you make 280 minutes of calls this month?
Answers
Answer: $32.75
Step-by-step explanation:
If each call costs $0.08 and you make 280 minutes worth of calls this month you'll have made $22.04 worth of phone calls plus the monthly access fee ($10.35) if you add both those fees you'll be left with a bill of $32.75.
I hope this answer helped you. :)
Answer:
$32.75
Step-by-step explanation:
10.35 + (0.08×280)
Is (7, 9) a solution of y > 2x − 5?
HELP
Answers
Answer:
no
Step-by-step explanation:
y > 2x - 5
9 > 2(7) - 5
9 > 14 - 5
9 > 9. not a solution
9=9
eva invest $120 at a rate of 3% per year compound interest. calculate the total amount eva has after 2 years
Answers
Answer:
Eva has $127.31 after 2 years.
Step-by-step explanation:
Here is the formula for compound interest
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.
We are given
[tex]P=120\\r=0.03\\n=1\\t=2[/tex]
Substitute our numbers into the equation
[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]
[tex]A=120(1.03)^{2}[/tex]
[tex]A=120*1.03^{2}[/tex]
[tex]A=120*1.0609[/tex]
[tex]A=127.308[/tex]
The function f(x)= square root of x is translated using the rule (x,y) (x-7,y+2) to create f(x)what is the domain of f(x)?
Answers
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be [7, ∞).
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = √x
The function after the transformation, then we have
f(x) = √(x - 7) + 2
The value inside the square root should be greater than or equal to zero. Then the domain of the function will be given as,
x - 7 ≥ 0
x ≥ 7
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
A women went to Shopping.First she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has 10$ left. How much money did she spent?
Answers
The amount of money that was spent is $120.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.
The fraction of money left will be:
= 1 - 4/5 - (2/3 × 1/5)
= 1 - 4/5 - 2/15
= 1/15
Since she had $10 left the original amount will be:
= $10 ÷ 1/15
= $10 × 15
= $150
The amount spent will be:
= 4/5 × $150
= $120
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
The four approved methods of document destruction are
Answers
Answer:
1area
2 water
3 food
4 house
Answer:
shredding, incineration, pulping, and pulverization.
Step-by-step explanation:
Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.
Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.
Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.
Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.
Simplify. Negative square root of 16y^2 if y<0
Answers
Answer:
The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4
Step-by-step explanation:
what is the percent of change for your grade if originally you got 5 questions right and you checked your work and ended up with 15 questions right
Answers
Answer:
To calculate the percent of change for your grade, you will need to know your original grade and your revised grade. If you originally got 5 questions right and you checked your work and ended up with 15 questions right, you can calculate the percent of change as follows:
Subtract your original score from your revised score to find the difference: 15 - 5 = 10
Divide the difference by your original score and multiply by 100 to express the change as a percentage: (10 / 5) x 100 = 200%
This means that your grade increased by 200%.
Step-by-step explanation:
PLEASE HELP
Consider the two circles shown
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.
What are the values of t and s
Answers
Answer:
t is 13
scale factor is 7/4
11-(-2)x4 step by step pls my hm is due tmr
Answers
Answer:
Step-by-step explanation:
11 -(-2) x 4
11 + 2 x 4
11 +8
= 19