Step-by-step explanation:
I'm assuming the first equation is 4y + 9x = 25.
Substitute the expression from the second equation:
4 (-x+2) + 9x = 25
the manager of a store increases the price of a popular product the new price x+0.07x
Answer:
The new price of the product will be 1.07x, where x is the original price.
The manager has increased the price by 0.07x, which is 7% of the original price. This is equivalent to multiplying the original price by 1 + 0.07, or 1.07.
So, the new price of the product is 1.07 times the original price, or 1.07x.
1. Which equation describes the line with
slope -4 and y-intercept 2?
A y=-4x+2
B y=-4x-2
C y=4x-2
D y = 4x + 2
Answer:
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the equation of the line with slope -4 and y-intercept 2 is y = (-4)x + 2.
$80 at q $100 at qlet q represent the quantity of output and suppose the price of the good is $125 then the marginal revenue is
For the given diagram 1. d) all of them are correct, 2. d)none of them are correct and Total Revenue is 3. b. $90,125
1.
Marginal Revenue is
the change in Total Revenue/Change in units of output produced
In the given question the price of the output is fixed at $125.
Hence no matter what the quantity of output sold, every additional output produced will generate an additional revenue of $125.
hence option d) all of them are correct has to be chosen.
2.
Now we already know that if the price has been fixed at $125, the marginal revenue generated cannot be anything but $125.
Hence, option d) None of them are correct.
3.
Total Revenue = Price X Quantity
Here it is given that the Price is $175
Output is 515 units
Hence, the Total Revenue will be $(175 X 515)
= $90125
Hence, option b. $90125 is correct.
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Complete Question
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Each day, Jarrod walks a total of 1 3/4 miles to school and back. Isaiah walks 1 1/3 times as far as Jarrod walks.
How many miles does Isaiah walk to school and back home each day? Complete the equation to model the problem. Then solve.
The miles that Isaiah walk to school will be 2 1/3 miles
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Since Jarrod walks a total of 1 3/4 miles to school and back. Isaiah walks 1 1/3 times as far as Jarrod walks. The miles that Isaiah walk to school will be:
= 1 3/4 × 1 1/3
= 7/4 × 4/3.
= 7/3
= 2 1/3 miles.
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5400 dollars is placed in an account with an annual interest rate of 9%. To the
nearest tenth of a year, how long will it take for the account value to reach 15500
dollars?
Answer:
12.2 years
Step-by-step explanation:
To solve, use the exponential growth formula:
[tex]A_t=A_0(1+r)^x[/tex]
where
[tex]A_t[/tex] = Amount as a function of time ($15500)
[tex]A_0[/tex] = Original amount ($5400)
[tex]r[/tex] = rate (.09)
[tex]x[/tex] = time in years
So,
[tex]15500=5400(1+.09)^x\\15500(\frac{1}{5400})=5400(1.09)^x(\frac{1}{5400})\\2.87=1.09^x\\\log_{1.09}2.87=\log_{1.09}1.09^x[/tex]
Use the logarithmic rules that state [tex]\log_{a}a=1[/tex] and [tex]\log_{a}a^b=b\log_{a}a[/tex]:
So,
[tex]\log_{1.09}2.87=x\\12.24\ years=x[/tex]
u (x comma y )space equals space 5 (x plus y )u (x comma y )space equals space 5 y u (x comma y )space equals space 5 x u (x comma y )space equals space 5 x squared plus 5 y squared
To solve this system of differential equations using the series method, we can assume that the solution can be expressed as a power series in both x and y:
[tex]u(x,y) = a0 + a1x + a2y + a3xy + a4x^2 + a5y^2 + ...[/tex]
Substituting this expression into each of the differential equations and collecting the coefficients of each term gives us the following system of equations:
a0 + 5a0 = 0
a1 + 5a2 = 0
a2 + 5a1 = 0
a4 + 5a4 = 0
a5 + 5*a5 = 0
Solving this system of equations gives us the following values for the coefficients:
a0 = 0
a1 = 0
a2 = 0
a3 = 0
a4 = 0
a5 = 0
Therefore, the power series expansion of the solution is:
u(x,y) = 0
This means that the only solution to the differential equations is the trivial solution u(x,y) = 0.
Note that this method of solving differential equations using power series is only applicable if the differential equations are linear and homogeneous, which means that the coefficients of the terms in the differential equations do not depend on x and y, and the right-hand sides of the equations are all equal to 0. If the differential equations are nonlinear or inhomogeneous, other methods may be required to find their solutions.
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Biologist Theodore Garland, Jr. studied the relationship between running speeds and morphology of 49 species of cursorial mammals (mammals adapted to or specialized for running). One of the relationships he investigated was maximal sprint speed in kilometers per hour and the ratio of metatarsal-to-femur length.
A least-squares regression on the data he collected produces the equation
ŷ =37.67+33.18x
where x is metatarsal-to-femur ratio and ŷ is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94.
Construct a 80% confidence interval for the slope of the population regression line. Give your answers precise to at least two decimal places.
Lower limit: ____ Upper limit: ____
A 80% confidence interval for the slope of the population regression line is answers precise to at least two decimal places is Lower limit : 16.4083 and Upper limit : 49.9587 .
Given :
A least-squares regression on the data he collected produces the equation
y =37.67 + 33.18x
where x is metatarsal - to - femur ratio and ŷ is predicted maximal sprint speed in kilometers per hour. The standard error of the intercept is 5.69 and the standard error of the slope is 7.94.
The sample number is 49 species (here we assume that all the individuals of a the same species are summarised with a central tendency measure.
33.18 - 2.1123 ( 7.94 ) ≤ β ≤ 33.18 + 2.1123 ( 7.94 )
16.4083 ≤ β ≤ 49.9587 .
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Angie regularly works a 40-hour week and earns $16 per hour. She receives time and a
half pay for each hour of overtime she works. How many hours does she need to work
in order to have a total pay of at least $1,120?
She needs to work a total of 60 hours including time-and-a-half pay hours.
What is time-and-a-half pay?
Time and a half pay is the overtime pay that non-exempt employees are entitled to when working more than 40 hours per week, as required by the Fair Labor Standards Act (FLSA). Time and a half pay are so-called because they equal an employee's hourly rate multiplied by 1.5 per hour of overtime.
Given, Hourly rate = $16 per hour
Angie regularly works a 40-hour week
Then, gross pay for 40-hour week = $16*40 = $640
Hourly overtime rate = $16 x 1.5 = $24
total pay = $1,120
Let x be the number of overtime hours, then
640 + 24x = 1120
or, 24x = 1120 - 640
or, 24x = 480
or, x = 20
Total hours = 40 + 20 = 60 hours
Hence, she needs to work 60 hours.
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the student government claims that 70% of all students favor an increase in student fees to buy indoor potted plants for the classrooms. a random sample of 12 students produced 2 in favor of the project.
(a) What is the probability that 2 or fewer in the sample will favor the project, assuming the student government's claim is correct? (Use 3 decimal places.) (b) Do the the data support the student government's claim, or does it seem that the percentage favoring the increase in fees is less than 70%? The data do not give us any indication that the percent favoring the increase in fees differs from 70%. The data seem to indicate that the percent favoring the increase in fees is greater than 70%. The data seem to indicate that the percent favoring the increase in fees is less than 70%. The data seem to indicate that the percent favoring the increase in fees is equal to 70%.
The probability that 2 or fewer in the sample will favor the project is 4.368 × 10⁻⁶ and Also The data seem to indicate that the percent favoring the increase in fees is less than 70%
According to the question,
It is given that according to the student's government
The probability that number of students in favor of increment in fees : p = 0.70
The probability that number of students against the increment : q = 0.30
Sample Size : n = 12
Number of students follows Binomial distribution
(a) We have to find the probability that 2 or fewer in the sample will favor the project
P( x ≤ 2) = P(0) + P(1) + P(2)
As we know ,
P(x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾
=> P( x ≤ 2) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰
=> P( x ≤ 2) = 1×(0.30)¹² + 12×(0.70)(0.30)¹¹ + 12×11/2 × (0.70)²(0.30)¹⁰
=> P( x ≤ 2) = (0.30)¹⁰ [ 0.09 + 0.21 + 0.48]
=> P( x ≤ 2) = 5.9×10⁻⁶[0.78]
=> P( x ≤ 2) = 4.368 × 10⁻⁶
Which is very close to zero
(b) The data doesn't support the student government claim.
The data seem to indicate that the percent favoring the increase in fees is less than 70%.
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A box of cereal weighs 600 grams.How much is this weight in pounds? Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answer: 1.32 lbs
Step-by-step explanation: using dimensional analysis, you write down what you know first, which is 600 grams, and write what you are finding which is pounds.
Know: 600 grams
Know: 1 kilogram = 2.2 pounds
Find: pounds
Dimensional analysis: 600g/1 * 1kg/1000g * 2.2lbs/1kg = 1.32 lbs
multiply the top first and then divide what's left on the bottom.
1.32 lb.
Step-by-step explanation:1. Convert from grams to kilograms.1000 grams ----> 1 kilogram
600 grams ----> x
x= (600*1)/1000= 0.6 kg
2. Convert from kilograms to pounds.1 kg ----> 2.2 pounds
0.6 kg ----> x
x= (0.6*2.2)/1= 1.32 lb.
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What is -5 5/8+3 1/2?
Answer: -2 1/8
Step-by-step explanation:
3 1/2 = 3 4/8
5 5/8 - 3 4/8 = 2 1/8
Add the negative sign back to get -2 1/8
Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval.
Properties of Definite Integrals A definite integral is a function that assigns a value to the area under a curve on a given interval are additive , linearity , continuity , monotonicity and upper and lowersums.
1. Additivity: The definite integral of a sum is equal to the sum of the definite integrals.
2. Linearity: The definite integral of a linear function is equal to the product of the function's slope and the length of the interval.
3. Continuity: The definite integral of a continuous function is equal to the area under the curve between two points.
4. Monotonicity: If a function is increasing or decreasing on a given interval, then the definite integral of the function is also increasing or decreasing.
5. Upper and Lower Sums: The upper and lower sums of a function are the sums of the areas of rectangles constructed under or over the curve between two points. The definite integral of the function is equal to the difference between the upper and lower sums.
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consider the following payoff matrix. two airlines, delta and united, compete against each other in a certain city. they must choose whether to lower or raise airline fares. the given entries show the expected revenue from this decision.
Both Alpha and Beta Have a dominant strategy to price low
delta and united both Have a successful pricing plan
What do the terms "alpha" and "Beta" mean pricing?
Using an approach known as alpha-beta pruning, the mini max algorithm can examine fewer nodes in its search tree.
Reason: Regardless of what the other party decides, both firms opt for low prices. Therefore, it is both companies' dominating strategy.
Both Alpha and Beta advise against raising prices.
Reason: Regardless of what the other enterprises do, both businesses have decided against raising prices. So the prevalent method is to keep costs the same.
The major strategy of both businesses is to remain the same. Therefore, both statements A and B are true.
Due to the fact that both companies always opt to remain the same, regardless of what the other player does.
Both Alpha and Beta Have a dominant strategy to price low
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Let a, b, and c be real numbers where a ≠ b ≠ c ≠ 0. Which of the following functions could represent the graph below?
f(x) = x²(x-a)²(x-b)4(x-c)
f(x) = x³(x-a)³(x-b)(x-c)²
f(x) = x²(x-a)(x-b)³(x-c)³
f(x) = (x-a)^2(x-b)(x-c)^6
The characteristics of polynomial graphs' intercepts reveal the multiplicity's characteristics. The function is a potential representation of the graph; f(x) = x²·(x - a) (x - a) , ²·(x - b) (x - b),⁴·(x - c) (x - c).
How to find the calculation?The alternative provides a function that can represent a graph;
f(x) = x²·(x - a) (x - a)
²·(x - b) (x - b)
⁴·(x - c) (x - c)
Reason:
The graph's description is as follows:
Three points on the graph deviate from the x-axis.
Therefore;
The first equation is satisfied by the graph's even multiplicity at three places, such as x2, (x - a)2, and (x - b)4.
The graph once almost linearly crosses the x-axis.
Therefore;
The first equation's function contains a single zero or component, such as (x - c), so;
The function is a potential representation of the graph;
f(x) = x²·(x - a) (x - a)
²·(x - b) (x - b)
⁴·(x - c) (x - c).
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How many integer solutions exist for x if 1/2 is at most x/8 and x/8 is at most 7/9?
Answer:
Step-by-step explanation:
To find the number of integer solutions for x, you can first set up the given inequalities and solve for x.
1/2 ≤ x/8 ≤ 7/9
Multiplying both sides of the inequality by 8, we get:
4 ≤ x ≤ 14
The solutions for x are the integers that fall within this range. Therefore, the number of integer solutions for x is 14 - 4 + 1 = 11.
Note: The +1 is included to count the endpoint 14, which is included in the solution set.
Therefore, there are 11 integer solutions for x if 1/2 is at most x/8 and x/8 is at most 7/9.
Lisa read 2/5 of her book over the weekend and 1/3 of it on monday. What fraction of the book is left?
Answer:
4/15
Step-by-step explanation:
To answer this question, we're gonna want to convert the fractions so that they have the same denominator (the number on the bottom of the fraction) and it's easy for us to visualize what's going on. AKA, we need to find the least common denominator (LCD).
We're going to multiply 2/5 and 1/3 by a number so they have the same denominator. In this case, that would mean multiplying them by the other fractions denominator. So multiplying 2/5 by 3 and 1/3 by 5.
2/5x3= 6/15. 1/3x5=5/15.
Now we're viewing the book in 15ths instead of both 5ths and 3rds.
6+5=11, so we know that 11/15 of the book has been read.
15/15-11/15=4/15
4/15 of the book is left to read.
Hope this explanation helped!
A customer spends a total of $52.25 at an amusement park. The customer buys a $30.25 ticket to enter the park and 4 game tickets.
If each game ticket costs the same amount, x, which statement is true?
Responses
An equation that can be used to find x is 4(x+30.25)=52.25, and each game ticket costs $5.50.
An equation that can be used to find x is 4 ( x + 30.25 ) = 52.25 , and each game ticket costs $ $ 5.50 .
An equation that can be used to find x is 4(x+30.25)=52.25, and each game ticket costs $18.00.
An equation that can be used to find x is 4 ( x + 30.25 ) = 52.25 , and each game ticket costs $ $ 18.00 .
An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.
An equation that can be used to find x is 4 x + 30.25 = 52.25 , and each game ticket costs $ $ 5.50 .
An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $18.00.
Answer: I believe its: An equation that can be used to find x is 4x+30.25=52.25, and each game ticket costs $5.50.
Step-by-step explanation:
well, 52.25 - 30.25 is 22$
22 divided by 4 is 5.50
4 times x plus 30.25 is 52.25
so 4x+30.25= 52.25
_____ is a variation of ANOVA that allows us to identify and remove the effects of a third variable and increase statistical power.
Select one:
a. Bonferroni
b. ANCOVA
c. MANOVA
d. Factorial ANOVA
MANOVA is a variation of ANOVA that allows us to identify and remove the effects of a third variable and increase statistical power.
Multivariate ANOVA (MANOVA) extends the capabilities of analysis of variance (ANOVA) by assessing multiple dependent variables simultaneously. ANOVA statistically tests the differences between three or more group means. For example, if we have three different teaching methods and you want to evaluate the average scores for these groups, we can use ANOVA. However, ANOVA does have a drawback. It can assess only one dependent variable at a time. This limitation can be an enormous problem in certain circumstances because it can prevent us from detecting effects that actually exist.
This statistical procedure tests multiple dependent variables at the same time. By doing so, MANOVA can offer several advantages over ANOVA.
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ABC has just issued a $1,000 par value bond that will mature in 10 years. This bond pays interest of $45 every six months. If the annual yield to maturity of this bond is 7%, what is the price of the ABC bond if the market is in equilibrium?
Everything else held constant, if the expected return on ABC stock rises from 5 to 10 percent ... When the price of a bond is above the equilibrium price.
What is equilibrium price?In economics, economic equilibrium is a situation in which economic forces such as supply and demand are balanced and in the absence of external influences the values of economic variables will not change. Equilibrium is the state in which market supply and demand balance each other, and as a result prices become stable. Generally, an over-supply of goods or services causes prices to go down, which results in higher demand—while an under-supply or shortage causes prices to go up resulting in less demand.
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Some one please save my lifeI have 20 hours to complete this
sort these items into the order that you would use them in order to calculate the confidence interval for the mean.
The order of calculate the confidence interval for the mean are as follows:
1. Select sample stat
2. select desired confidence
3. determine margin of error
4. specify upper and lower limits
Now, According to the question:
The order of calculate the confidence interval for the mean are as follows:
1. Select sample stat
2. select desired confidence
3. determine margin of error
4. specify upper and lower limits
Let's know:
What is Confidence Interval?
A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.
The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.
The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.
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simplify the expression: 6(1+9t)
Answer:
Hi!
The answer would be: 6 + 54t
I hope this helped you! :)
Step-by-step explanation:
Answer:
54t + 6
Step-by-step explanation:
Simplify the expression. Use the distributive property. The distributive property states that an expression which is given in form of a(b + c) can be solved into (ab) + (ac). Distribute and multiply 6 to all terms within the parenthesis. Then, simplify:
[tex]6(1 + 9t)\\\\=(6 * 1) + (6 * 9t)\\= (6) + (54t)\\ = 54t + 6[/tex]
54t + 6 is your answer.
~
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Caleb's school is five blocks due north of his home, and is the closest to the straight-line distance from Caleb's s
A) 389 f t
B) 825 f t
C) 1,260 ft
(D) 1,481 ft
If Caleb's school is five blocks due north of his home, the figure that is closest to the straight-line distance from Caleb's s is (D) 1,481 ft.
What is distance?Distance can be defined as how far an object is from another object.
Using Pythagoreans theorem
Hypotenuse =√Perpendicular² + Base²
Where:
Perpendicular = 275 feet ×5 = 1375ft
Base = 275 feet × 2 = 550ft
Let plug in the formula
Hypotenuse =√ 1375 ft² + 550ft
Hypotenuse =√1,890,625 + 302,500
Hypotenuse =√2,193,128
Hypotenuse = 1,480.9ft
Hypotenuse = 1,481ft (Approximately)
Therefore the correct option is D.
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Evaluate the function
f(n) = 4x + 5; Find f(2)
Answer: 13
Step-by-step explanation: To find f(2), you can put 2 into all of the x spots, thus making the equation 4(2)+5. From there you can do PEMDAS and multiply 4 and 2 to get 8, and then add 5 to get 13.
You kick a kickball at an initial speed of 52 feet per second, projected at an angle 32 degrees. How far will the ball travel horizontally before hitting the ground?
The model for horizontal distance is \large d=\frac{v^2}{32}sin2\theta. Show your work and explain your solution. Do you have a reasonable solution?
The ball will travel 77.74 distance far before hitting the ground.
What is meant by horizontal distance?The distance between two sites measured with a 0% slope is referred to as the horizontal distance. Divide both sides by the slope percentage. A measure of horizontal distance is run = (rise 100) / slope%.
Vertical distance is the distance following the direction of gravity, whereas horizontal distance is the distance along the ground surface. The distance between a building and the observer serves as an example of a horizontal distance, and the building's height serves as an example of a vertical distance.
Because there is no change in the value of y on the horizontal line in the equation y = mx + b, where 'b' is the y-intercept, the equation for a horizontal line passing through the points (a, b) is y = b, where 'b' is constant.
Given,
V=52
θ=32°
d=(V²/32)sin2θ
d=((52×52)/32)sin(64)
d=(13×13)/2
d=(169×0.92)/2
d=77.74
The ball will travel 77.74 distance far before hitting the ground.
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find the unit tangent vector,the principal normal vector,andequation in x,y,z for the osculating plane at the point on thecurve corresponding to the indicated value of t.r(t)=i + 2tj +t^2k; t=1
The equation of oscilating plane at the point on the curve corresponding to the indicated value of t, r(t)=i + 2tj +t^2k; t=1 is
x - 1 = 0.
Unit tangent vector, T(t) at t = 1 is
T(t) = (√2/2 ) j +(√2/2 ) k
Principle Normal vector at t = 1 is N(1) = - (√2/2 ) j + (√2/2 ) k
We have , x,y,z for the osculating plane at the point on the curve corresponding to the indicated value of t.
r(t) = i + 2t j + t² k
So, r'(t) = 0 i + 2 j + 2t k
Unit tangent vector , say T(t) is
T(t) = (0 i + 2 j + 2t k )/√0+(2)²+ (2t)²
T(t) =( 2 j + 2t k)/√4+ 4t² = 2(j+k)/2√1+t²
T(t) = (j + t k) / √1+t²
At t = 1 , T(t) = (j + k )/√1+1 = (j+k)/√2
T(t) = (√2/2 ) j + (√2/2 ) k
Now, tangent vector and normal vector prependicular to each other.
So, principle vector is N(1) = - (√2/2 ) j + (√2/2 ) k
Now, binormal vector is B = T×N
= | i j k |
| 0 √2/2 √2/2 |
| 0 -√2/2 √2/2 |
= <1,0,0>
Equation of oscilating plane is
1( x- 1) + 0(y - 2) + 0( z - 1) = 0
=> x = 1
Hence, equation of oscilating plane is x-1 = 0
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On a 3 section math test a student correctly answered 17/20 11/15 20/25 what percentage of questions on the entire test did the student answer correctly
Step-by-step explanation:
17 of 20
11 of 15
20 of 25
that is in total
17+11+20 = 48
of
20+15+25 = 60
so, he answered 48 of 60 correctly
48/60 = 4/5 = 0.8 = 80%
Answer:
79.44%
Step-by-step explanation:
We are given that there are 3 sections to this test and how the student scored in each of those sections. Let us add all of these fractions together.
[tex]\frac{17}{20} +\frac{11}{15} +\frac{20}{25} =\frac{143}{60} \\[/tex]
We must now divide this amount by 3 to find the average of the three sections. This gives us [tex]\frac{143}{180}[/tex].
These means that the student answered [tex]\frac{143}{180}[/tex] of the questions correctly, or 79.44%.
03 Multiple Choice
0/20
Select all of the expressions that are equivalent to (9x+6)-(8x-4).
M. 2(x + 1)
P. 2x + 6
R. 2x + 2
S. 2(x + 3)
T. 8x
The implicational rule of inference that permits us to derive a specific instance from a universal statement isa. Existential Generalization.b. Existential Instantiation.c. Universal Generalization.d. Universal Instantiation.
Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.
It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.
Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.
Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."
∀xA⇒A(x↔a}
for every formula A and every term a, where A(x↔a} is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of
∀xA.
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A transportation company has 8 shuttle buses. The company changed the oil and filter of each shuttle three times during the year 2021. If changing oil and filter each time for each shuttle cost $63, how much did the company spend on changing oil and filter during 2021, in total?
The cost of changing the oil and filter during 2021, in total is $1512.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a transportation company has 8 shuttle buses. The company changed the oil and filter of each shuttle three times during the year 2021. If changing the oil and filter each time for each shuttle cost $63.
The cost will be calculated by multiplying the number of buses by the number of times it is changed with the cost of each time change.
Cost = 63 x 3 x 8
Cost = $1512
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