he cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months costs $660. A permit purchased for 15 months costs $810.
What is the administration fee?
$50
$54
$55
$60
Answers
The one-time administration fee is (d) $60
How to determine the administration fee?From the question, we have the following parameters that can be used in our computation:
12 months costs $660.
15 months costs $810.
This means that
(x, y) = (12, 660) and (15, 810)
For the one-time administration fee, we have
(x, y) = (0, y)
So, we calculate the slope using
slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
(y - 660)/(0 - 12) = (810 - 660)/(15 - 12)
This gives
(660 - y)/12 = 50
So, we have
660 - y=600
This gives
y = 60
Hence, the administration fee is $60
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Related Questions
Cecil and three friends ran a 15-mile relay race. Each friend ran an equal distance. What distance did each friend run? Write your answer in fraction form.
Answers
Answer:
3 3/4 or 15/4
Step-by-step explanation:
If Cecil and three friends ran a 15-mile relay race, and each friend ran an equal distance, we can divide the total distance by the number of people to determine the distance each person ran.
Total distance: 15 miles
Number of people: 4
To find the distance each person ran, we divide the total distance by the number of people:
15 miles ÷ 4 friends = 3.75 miles per friend
Therefore, each person ran a distance of 5 miles. In fraction form, it can be written as 3 3/4 or 15/4.
Answer:
15/4 miles/person
Step-by-step explanation:
15 miles
Cecil + 3 friends = 4 people
15 miles ÷ 3 people = 15/4 miles/person
What would be an approximate 99.7% confidence interval in our schizophrenia example? the point estimate was 0.53 and the standard error of the proportion was 0.03.
Answers
We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.
In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.
For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:
0.53 ± 3(0.03) = (0.44, 0.62)
This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.
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three people, each working at the same rate, finish a job in 20 hours. at this rate, how many hours will it take five people to finish three such jobs?
Answers
Let's start by finding the rate at which one person works. Since three people can finish a job in 20 hours, the combined rate of the three people is 1 job / 20 hours, or 1/60 jobs per hour. Since each person works at the same rate, the rate of one person is 1/3 of the combined rate, or 1/180 jobs per hour.
Now we can use the formula for the rate of work to set up an equation for the number of hours it will take five people to finish three jobs: $r \times t = w$, where $r$ is the rate of work, $t$ is the time in hours, and $w$ is the amount of work. We want to find $t$, so we can rearrange the equation as $t = w/r$.
We know that the amount of work to be done is 3 jobs and the rate of work for one person is 1/180 jobs per hour. To find the rate of work for five people, we can multiply the rate of one person by 5, so the combined rate of five people is 5/180 jobs per hour, or 1/36 jobs per hour. Therefore, the number of hours it will take five people to finish three jobs is:
$t = w/r = 3 / (1/36) = 108$ hours
So it will take five people 108 hours to finish three such jobs.
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Which represents the inverse of the function f(x) = 4x?h(x) = x + 4• h(x) = x-4h(x) = =xh(x) = )
Answers
The function we have is:
\(f(x)=4x\)The steps to find the inverse function are:
Step 1. Solve for x.
In this case, we solve for x by dividing both sides of the equation by 4:
\(\begin{gathered} \frac{f(x)}{4}=\frac{4x}{4} \\ \frac{f(x)}{4}=x \end{gathered}\)Step 2. Change f(x) for x, and x for the inverse function f^-1(x):
\(\frac{x}{4}=f^{-1}(x)\longrightarrow\text{inverse function}\)If we call this inverse function h(x) we get the result:
\(h(x)=\frac{x}{4}\)PLEASE HELP!!!!!!!!! ASAP!!!!! I REWARD BRAINLIEST!!!! HAVE CLASS IN 30 MINUTES!1111
Answers
Answer:
\( y = \dfrac{1}{3}x + 1 \)
Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation: \( y = \dfrac{1}{3}x + 1 \)
Answer:
y = 1/3x + 1
Step-by-step explanation:
So the original equation is y = 1/3x - 1
We keep the slope the same and change the y-intercept
To find the y-intercept (b) and it has to pass through point (6,3)
So we take y = -1/3x + b and substitute the y and x for (6,3)
3 = 1/3(6) + b
3 = 2 + b
1 = b
Final equation. y = 1/3x + 1
The absolute value of (2−7)=
Answers
That because anything in the absolute value that is a negative answer it will always be positive. Like 2-7 which supposed to equal to -5 but when it come in a absolute value the answer will be positive 5.
The absolute value is:
5Work/explanation:
First, we will evaluate 2-7.
It evaluates to -5.
Now, let's find the absolute value of -5 by using these rules:
\(\sf{\mid a\mid=a}\)
\(\sf{\mid-a \mid=a}\)
Similarly, the absolute value of -5 is:
\(\sf{\mid-5\mid=5}\)
Hence, 5 is the answer.What is the domain of (fºg)(x)?
O x > 0
O all real numbers except x - 0
O x < 0
O all real numbers
Answers
The domain of (fºg)(x) is all real numbers. This can be calculated by first looking at the domain of f(x) and g(x).
The domain of f(x) is all real numbers except x = 0, while the domain of g(x) is all real numbers. Since the composition of two functions creates a new function, the domain of (fºg)(x) is the intersection of the two functions’ domains. This means that the domain of (fºg)(x) is all real numbers except x = 0, as the intersection of the two is the same as the domain of f(x).
To calculate this, we first look at the domain of f(x), which is all real numbers except x = 0. This is because the function f(x) is defined as the reciprocal of x, which results in an undefined value at x = 0. Therefore, the domain of f(x) is all real numbers except x = 0.
Next, we look at the domain of g(x), which is all real numbers. This is because the function g(x) is defined as the square root of x, which is defined for all real numbers. Therefore, the domain of g(x) is all real numbers.
Finally, the composition of the two functions creates a new function, (fºg)(x), whose domain is the intersection of the two functions’ domains. This means that the domain of (fºg)(x) is all real numbers except x = 0, as the intersection of the two is the same as the domain of f(x). This can be represented mathematically as:
Domain of (f°g)(x) = Domain of f(x) ∩ Domain of g(x)
= {x ∈ R : x ≠ 0} ∩ {x ∈ R : x ∈ R}
= {x ∈ R : x ≠ 0}
Therefore, the domain of (fºg)(x) is all real numbers except x = 0.
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what is the minimum amount of colors to be used to shade 4 different regions?
Answers
The four color theorem-No more than 4 colors are required to color the regions map
a simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained: 15, 19, 21, 24, and 31. a point estimate of the mean is
Answers
The point estimate of the population mean is 22.
How to determine point estimate?A simple random sample of 5 observations from a population containing 400 elements was takenthe following values were obtained:
15, 19, 21, 24, and 31.
A simple random sample is a sampling technique that chooses n elements from a population of size N in such a way that each possible sample of the same size n is equally likely to be chosen.
The point estimate of the population mean can be calculated as the sample mean, which is the sum of the observations divided by the sample size:
Sample mean = (15 + 19 + 21 + 24 + 31) / 5
= 110 / 5
= 22
Therefore, the point estimate of the population mean is 22
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The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate
Answers
The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.
The time Jasmine spends biking is indeed a function of the distance she bikes.
The formula to calculate the time Jasmine takes to bike a certain distance is equal to,
time = distance / speed __(1)
Here the speed is the rate at which Jasmine bikes = 18 miles per hour.
Let us consider 'd' be the distance representing the number of miles Jasmine bikes.
This implies,
The function that represents the time Jasmine spends biking in terms of the distance .
Function f(d) representing the time Jasmine spends biking for a distance of d miles
Substitute all the values in the formula (1) we get,
⇒ f(d) = d / 18
Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.
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The above question is incomplete , the complete question is:
The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.
Write the function representing the time Jasmine spends biking in terms of the distance?
What is the value of "a" in the following quadratic? (Make sure the equation is in
standard form: ax² + bx+c=0)
x^2 + 28 = -11x
Answers
Answer: a= - \(\frac{b}{x}\)- \(\frac{c}{x2}\)
Step-by-step explanation:
1. Move all terms not containing \(\alpha\) to the right side of the equation.
\(\alpha\)\(x^{2}\)=-bx-c
2. Divide each term in \(\alpha x^{2}\)=-bx-c by \(x^{2}\) and simplify.
a= - \(\frac{b}{x}\) - \(\frac{c}{x^{2} }\)
Explain how to find the distance between two integers using the difference
Answers
Answer:
When we want to find the distance between two integers using the difference, the best way is to plot them on number line. And then count distance between them. For example -3 and -1. But distance can not be negative.
Step-by-step explanation:
edge 2021
Evaluate 8/9 power of 2 as a fraction in simplest form
Answers
Answer:
64/81 or, 0.790123456 repeating
Step-by-step explanation:
use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.
a 180 g air-track glider is attached to a spring. the glider is pushed in 10.2 cm and released. a student with a stopwatch finds that 12.0 oscillations take 15.0 s . for help with math skills, you may want to review: solving radical equations for general problem-solving tips and strategies for this topic, you may want to view a video tutor solution of mass on a spring.
Answers
The spring constant of the spring is 11.092N/m
given that
a 180 g air-track glider is attached to a spring
the glider is pushed in 10.2 cm and released.
a student with a stopwatch finds that 12.0 oscillations take 15.0 s
The formula for calculating the period of oscillation is
T = 2\(\pi\)\(\sqrt{\frac{m}{k} }\)
m is the mass of the spring
k is the spring constant
Making the spring constant "k" the subject of the formula will give
k = 4\(\pi ^{2}\)\(\frac{m}{T^{2} }\)
the period of oscillation "T"
T = \(\frac{1}{f}\)
frequency "f" is the number of oscillations completed in one second.
a student with a stopwatch finds that 12.0 oscillations take 15.0 s
number of oscillations in one sec will be 15/12 = 1.25 osc.
Period T = 1/1.25 = 0.8sec
the required spring constant;
k = 4\(\pi ^{2}\)\(\frac{m}{T^{2} }\)
k = 4\((3.14)^{2}\)\(\frac{0.18}{(0.8)^{2} }\)
k = 11.092N/m
Therefore, the spring constant of the spring is 11.092N/m
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PLEASE HELPPPPPPPPPPPPPPPPP
Answers
Answer:
Diameter = 43.96\(m^{2}\)
Circumference = 153.86\(m^{2}\)
0
1
2.
3
у
8
1
-6
-13
What is an equation that describes the relationship?
Answers
Step-by-step explanation:
that only know
The graph of a function h is shown below find h(2).
Answers
Answer:
i cant really see it but i think the answer is 5
Step-by-step explanation:
when you look at the graph go to where x is 2 then keep going up and whatever point it hits thats the answer
The graph of a function h is shown below h=5.
What is a graph?A graph may be defined as a pictorial representation or a diagram that represents statistics or values in an organized way. The points on the graph regularly constitute the connection among or greater things.
The angle in a straight line says that the sum of all the angles on a straight line is 180°.opposite vertical angle is the two opposite angles on a parallel line at the point of intersection.angle y=74° (opposite vertical angle).
The angle on a straight line is 180°y+z=180°
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pls help asap for brainleist
Answers
Answer:
I don't see a question or anything..
Step-by-step explanation:
how do you turn r=6costheta into a rectangular equation ?
Answers
We have the equation:
\(r=6\cdot\cos (\theta)\)And we want to write in rectangular coordinates, this is (x, y).
To do this, we need a change of variables. WE know that:
\(\begin{gathered} x=r\cos (\theta) \\ y=r\sin (\theta) \\ So,r^2=x^2+y^2 \end{gathered}\)So our equation can be written as:
\(\begin{gathered} r=6\cdot\cos (\theta) \\ r^2=6r\cos (\theta) \\ \text{and replacing x and y from above} \\ x^2+y^2=6x \end{gathered}\)Now, we can write the above result as:
\(\begin{gathered} x^2+y^2=6x \\ x^2-6x+y^2=0 \\ (x^2-6x+9-9)+y^2=0 \\ (x-3)^2-9+y^2=0 \\ (x-3)^2+y^2=9 \end{gathered}\)7. Find the value of w in the regular heptagon
whose interior angle has a measure of
(w + 8). Round your answer to the nearest
hundredth.
Answers
Answer: 96
The sum of the interior angles of a regular heptagon is equal to (n-2)180 degrees, where n is the number of sides of the polygon.
Since a regular heptagon has 7 sides, the sum of its interior angles is (7-2)180 = 720 degrees.
Therefore, the measure of each interior angle is 720 degrees / 7 = 104 degrees.
If the measure of an interior angle is (w + 8) degrees, then w + 8 = 104.
Solving for w, we get w = 96.
(2x² - 6x + 5) + (7x²-x-9)
need help finding sum or difference
Answers
Answer:
the answer is either x= 4 , or it is 9\(x^{2} \\\) - \(x\) - 10
Step-by-step explanation:
Sorry dude, I'm confused a little bit on what to do, but i think one of these is right.
lmk if you get it right, and which one you used
Rewrite the following mixed number as a decimal.
17 37/50
Answers
35 = whole number
17 = numerator
50 = denominator
In order to convert mixed number 35 17/50 to decimal form Convert the proper fraction to decimal: Divide the numerator by the denominator
17 ÷ 50 = 0.34
Add this decimal number to the whole number of the mixed fraction
35 + 0.34 = 35.34
The mixed number 35 17/50 converted to decimal number is therefore:
35.34
Find the area of the triangle. 7 in. 18 in. The area is square inches.
Answers
(7 x 18) / 2 = 63
The dimensions of the box below are reduced by half. What is the constant of proportionality between the volume of the new box and the volume of the original box? Alternative text A.1/2 B.1/4 C.1/8 D.1/16
Answers
Answer:
C. 1/8
Step-by-step explanation:
Dimensions of the Original Box:
Length = 40 inches
Width = 20 inches
Height = 8 inches
Volume of original box = L*W*H = 40*20*8 = 6,400 in³
Dimensions of the New Box (½ of the dimensions of the original box):
Length = ½*40 = 20 in
Width = ½*20 = 10 in
Height = ½*8 = 4 in
Volume of original box = L*W*H = 20*10*4 = 800 in³
Constant of proportionality between the volume of the new box and the volume of the original box = \( \frac{800}{6,400} = \frac{1}{8} \)
Find the average value of the function f(x) = 3x ^ 4 on the interval 2 <= x <= 6
Answers
Explanation:
The average value of a function over a given interval, in this case between two and six, is given by the following formula:
\(\begin{gathered} AV\text{ = }\frac{1}{b-a}\int_2^63x^4\text{dx } \\ =\frac{1}{4}[\frac{3(6)^5}{5}-\frac{3(2)^5_}{5}] \\ =1161.6 \end{gathered}\)Answer: 1161.6
Which is ⁴√81x³y⁴z8 with rational exponents?
(a) 3x(¾)yz²
(b) 8x (¾) yz²
(c) 2x (⅓) yz²
(d) 9x (⅓) yz²
Answers
The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²
How to solve Laws of Exponents?The 8 laws of exponents can be listed as follows:
Zero Exponent Law: a^(0) = 1.
Identity Exponent Law: a^(1) = a.
Product Law: a^m × a^n = a^(m+n)
Quotient Law: a^m/a^n = a^(m - n)
Negative Exponents Law: a^(-m) = 1/a^(m)
Power of a Power: (a^m)^n = a^(mn)
Power of a Product: (ab)^m = a^m*b^m
Power of a Quotient: (a/b)^m = a^m/b^m
We are given the algebra expression as:
⁴√81x³y⁴z⁸
This gives us:
81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)
= 3x^(3/4)yz²
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Which equation represents the data shown in the table below?
Х
y
9
2
3
12
15
UTA
18
O A y = 2x + 9
O B. y = 3x + 3
C. y = 3x + 12
D. y = 4x + 1
Answers
Which system of linear inequalities is graphed below?
Answers
Answer:
y > 2x - 1
y ≤ 0.5x + 4
Step-by-step explanation:
solid line: (0,4) (-8,0)
m: (0-4)/(-8-0) = -4/-8 = 0.5
b: 4
y = mx + b y = 0.5x + 4
dotted line: (0,-1) (-2,-5)
m = (-5 - -1)/(-2-0) = 2
b = -1
equation: y = 2x - 1
System: y ≤ 0.5x + 4
y > 2x - 1
cqn your please help this is a graded work
Answers
2 plus 4 multiplied by negative 6 minus 3 multiplied by 5