Answer:
y=x-2
Step-by-step explanation:
Line them up on a graph and then use each answer choice and see which matches which would be y=x-2
PLEASE IM IN CLASS RIGHT NOWWWW
Answer:
102
Step-by-step explanation:
Which expression is equivalent to – 4( – 3u+3)–u?
Answer:
\( \sf \: 11u - 12 \)
Step-by-step explanation:
Now we have to,
→ Find the equivalent expression.
The expression is,
→ -4(-3u + 3) - u
Let's simplify the expression,
→ -4(-3u + 3) - u
→ -4(-3u) - 4(3) - u
→ 12u - 12 - u
→ 12u - u - 12
→ (12u - u) - 12
→ 11u - 12
Hence, the answer is 11u - 12.
Answer:
11u - 12
Step-by-step explanation:
Which expression is equivalent to – 4( – 3u+3)–u?
-4(-3u + 3) - u =
12u - 12 - u =
11u - 12
I tried using a protractor but i kept getting it wrong? can you help me anyone?
In the island nation of Autarka there are two amusement parks: Alfonso's Wonderland and Bernice's Wild Rides. The amusement parks are located at either end of the island, 1km apart.
Recently, a third rm, VendorCorp, has developed a new automation technology which promises to improve the eciency of amusement park rides. VendorCorp is o ering to sell the exclusive rights to this technology, and has asked the two parks to submit bids.
The new technology promises to reduce the marginal cost of operating rides for a customer by $6. However, experience in other countries has shown that, in about 30% of amusement parks, the technology encounters compatibility issues and only reduces the marginal cost by $3. Unfortunately, there is no way to know whether these issues will be encountered until the technology is installed.
In Autarka there are 9600 people who like to visit an amusement park. Each of these consumers wants to visit one park once. The consumers' homes are evenly spaced across the island, and they each su er a disutility of $24 for each kilometre they travel to reach an amusement park.
With their current technology, it costs an amusement park $12 for each customer they host. At present, the equilibrium price for an amusement park ticket is $36, and each rm has a pro t of $115,200.
This market is best modelled as Hotelling competition. You should neglect xed costs throughout your analysis.
Note: For the purp oses of this assignment you should treat this market as a one- shot game. Do not consider rep etition or asso ciated phenomena such as collusion or predatory pricing.
2.1 Your task
You have been hired by Alfonso's Wonderland to analyse the business case for purchasing the exclusive rights to the automation technology. You have been asked to determine:
The maximum price Alfonso's Wonderland should be willing to pay for the technology.
The price that Alfonso's Wonderland is likely to have to pay if it is successful.
The consequences for Alfonso's Wonderland if Bernice's Wild Rides purchases the exclusive rights instead of Alfonso's Wonderland.
In the analysis section you must complete each of the steps detailed below. When com-pleting the steps you must:
Step 1: Derive an expression for the location of the indi erent consumer. Use PA to represent the price of admission at Alfonso's Wonderland, and PBto represent the price of admission at Bernice's Wild Rides. (2 marks)
Step 2: Find the pro t function for Bernice's Wild Rides. You should assume that Ber- nice's marginal cost is $12. (4 marks)
Step 3: Find Bernice's best-response function. (4 marks)
Step 4: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 5: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $6. (4 marks)
Step 6: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $6 and Bernice's marginal cost is $12. (7 marks)
Step 7: Find the pro t function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 8: Find the best-response function for Alfonso's Wonderland for the case in which their marginal cost is $9. (4 marks)
Step 9: Find the equilibrium prices and pro ts for the case in which Alfonso's marginal cost is $9 and Bernice's marginal cost is $12. (7 marks)
The expression is x = (PA - PB) / (2 * (24 + 12)).Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.Alfonso's best-response function can be determined by maximizing profit function with respect to PA.
The expression for the location of the indifferent consumer can be derived using the Hotelling model, where the consumer is equidistant between the two parks. Let x represent the distance from Alfonso's Wonderland. The expression is x = (PA - PB) / (2 * (24 + 12)).
The profit function for Bernice's Wild Rides can be found by subtracting the marginal cost of $12 from the revenue function, which is equal to the price PB multiplied by the number of customers.
Bernice's best-response function can be determined by maximizing their profit function with respect to PB.
The profit function for Alfonso's Wonderland, with a marginal cost of $6, can be found similarly by subtracting the marginal cost from the revenue function, which is equal to the price PA multiplied by the number of customers.
Alfonso's best-response function can be determined by maximizing their profit function with respect to PA.
The equilibrium prices and profits can be found by solving the simultaneous equations formed by the best-response functions of both parks.
Repeat steps 4 and 5 for the case where Alfonso's marginal cost is $9.
Repeat step 6 for the case where Alfonso's marginal cost is $9 and Bernice's marginal cost is $12.
By following these steps, we can determine the maximum price Alfonso's Wonderland should pay, the likely price they will have to pay, and the consequences of Bernice's Wild Rides acquiring the exclusive rights.
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The base of a solid S is the region bounded by the parabola x2 = 8y and the line y = 4. y y=4 x2 = 8 Cross-sections perpendicular to the y-axis are equilateral triangles. Determine the exact volume of solid S.
The exact volume of the solid S is \(V = (\frac{32}{3} )\sqrt{6}\)cubic units.
Consider a vertical slice of the solid taken at a value of y between 0 and 4. The slice is an equilateral triangle with side length equal to the distance between the two points on the parabola with that y-coordinate.
Let's find the equation of the parabola in terms of y:
x^2 = 8y
x = ±\(2\sqrt{2} ^{\frac{1}{2} }\)
Thus, the distance between the two points on the parabola with y-coordinate y is:\(d = 2\sqrt{2} ^{\frac{1}{2} }\)
The area of the equilateral triangle is given by: \(A= \frac{\sqrt{3} }{4} d^{2}\)
Substituting for d, we get:
\(A=\frac{\sqrt{3} }{4} (2\sqrt{2} ^{\frac{1}{2} } )^{2}\)
A = 2√6y
Therefore, the volume of the slice at y is: dV = A dy = 2√6y dy
Integrating with respect to y from 0 to 4, we get:
\(V = [\frac{4}{3} (2\sqrt{x6}) y^{\frac{3}{2} }]\)
\(V = \int\limits \, dx (0 to 4) 2\sqrt{6} y dy\)
\(V = [(\frac{4}{3} ) (0 to 4)\)
\(V = (\frac{32}{3} )\sqrt{6}\)
Hence, the exact volume of the solid S is \(V = (\frac{32}{3} )\sqrt{6}\)cubic units.
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Line R is perpendicular to line T, as shown below. What is the equation of line R? Give your answer in y=mx+c, where m and c are integers or fractions in their simplest forms
The equation of line that passes through (6, 4) and is perpendicular to the line passing through ( 0,12) and (2,7) is 5y = 2x + 8
When are two lines said to be perpendicular?Two lines a re said to be perpendicular is the meet at rights angles.
Which means the two lines form an angle of 90°
Also if the product of the gradients of both lines is -1, those lines are said to be perpendicular.
when a line passes through (0,12) and (2,7),
Its slope(\(m_{1}\)) = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
so ,
slope = 7-12 / 2 - 0
slope( \(m_{1}\)) = -5/2
Since both lines are perpendicular, \(m_{1}\)\(m_{2}\) = -1
making \(m_{2}\) subject of the equation
\(m_{2}\) = -1/\(m_{1}\)
\(m_{2}\) = -1/-5/2
= 2/5
Equation of line in slope intercept form is y = mx + c
where m= slope, c = intercept
coordinates of the point of the first line (6, 4)
so if m = 2/5, x = 6, y = 4, and substituting these values into the above equation, we have
4= 2/5(6) + c
4 = 12/5 + c
c = 4 - 12/5
c = 8/5
Therefore the equation of the line is y = 2/5x + 8/5
Further simplified as 5y = 2x + 8
In conclusion, the equation of the line is 5y =2x + 8
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Help please ASAP ASAP
Answer:
x= 44
Step-by-step explanation:
Add 82+54.
Subtract 136 from 180. Giving you your answer.
Always subtract from 180 since a triangle is always 180.
Can you mark me brainliest? And 5 star?
Answer:
x= 44
Step-by-step explanation:
180 = 82 + 54 + x
180 = 136 + x
180 - 136 = 136 -136 + x
44 = x
Can someone please help me with this!!!
( I chose to stop using water bottles )
or Stop using plastic's
Step-by-step explanation:
cause so many people hated plastic's
Mick has a 6-digit code.
He remembers it as three 2-digit numbers.
The first number is between 10 and 20.
The second number is 3 times the first number.
The third number is 5 times the first number.
All six digits are different.
Work out the code.
Answer:
18 54 90
Step-by-step explanation:
ASAP!! NEED HELP WITH ONLY 21 AND 23 !!!
Hey guys! I need some help here Uhm please do not plagiarize I do use a plagerizam check! Please help though! 2. Olivia is buying juice boxes for a party. She is comparing two brands to determine the best price. The price for a carton containing 8 boxes of All Natural Juice is $2.80. The price for a carton containing 6 boxes of Just Juice is $1.98.
(a) What is the difference between the unit prices of each brand of juice? Show your work.
(b) Olivia paid $7.92 for several cartons of Just Juice. How many cartons did she purchase? What would the price be for the same number of juice boxes of All Natural Juice? Show your work.
2.80- 1.98= 0.82
A.) The difference is $0.82
16 boxes (I multiplied 2.80 by two which is 16 boxes)= $5.60
6 boxes= $1.98
22 boxes= $7.58 (I just added the price of 16 boxes and 6 boxes together.) If 22 boxes is worth $7.58 then I can make an educated guess and say that she got 23 boxes of Juice.
Now the answer is somewhat confusing because 23 boxes of juice gives a total price of $7.91 which is one cent off of what Olivia paid, however, each juice box is accounted to be $0.33. That means the total amount of Juice boxes cannot go over 23 but it cannot be lower than 23 either.
I'm going to say that Olivia bought 23 boxes of Juice for a total price of $7.91.
Each Juice Carton amounts to $0.33 as divided by 6 boxes for $1.98.
Consider the series п In :) n + 5 n=1 Determine whether the series converges, and if it converges, determine its value. Converges (y/n): Value if convergent (blank otherwise):
One possible test we can use is the integral test. However, in this case, the integral test does not give us a simple solution.
To determine whether the series ∑(n/(n + 5)), n = 1 to infinity, converges or not, we can use the limit comparison test.
Let's compare the given series to the harmonic series ∑(1/n), which is a well-known divergent series.
Taking the limit as n approaches infinity of the ratio of the terms of the two series, we have:
lim(n→∞) (n/(n + 5)) / (1/n)
= lim(n→∞) (n^2)/(n(n + 5))
= lim(n→∞) n/(n + 5)
= 1
Since the limit is a nonzero finite value (1), the series ∑(n/(n + 5)) cannot be determined to be either convergent or divergent using the limit comparison test.
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1,204 cans of food during a food drive that last 28 days. How many cans were collected each day?
Answer:
43 cans
Step-by-step explanation:
1204÷28
43 cans per day assuming that they collected the same amount of cans per day
Suppose that the daily log return of a security follows the model rt = 0.02 +0.5rt-2 + et where {e} is a Gaussian white noise series with mean zero and variance0.02. What are the mean and variance of the return series rt? Compute the lag-1 and lag-2 autocorrelations of rt. Assume that r100 = -0.01, and r99 = 0.02. Compute the 1- and 2-step-ahead forecasts of the return series at the forecast origin t = 100. What are the associated standard deviation of the forecast errors?
Mean of rt = 0.02,
Variance of rt = 0.02,
Lag-1 Autocorrelation (ρ1) = -0.01,
Lag-2 Autocorrelation (ρ2) = Unknown,
1-step ahead forecast = -0.005,
2-step ahead forecast = 0.02,
The standard deviation of forecast errors = √0.02.
We have,
To find the mean and variance of the return series, we can substitute the given model into the equation and calculate:
Mean of rt:
E(rt) = E(0.02 + 0.5rt-2 + et)
= 0.02 + 0.5E(rt-2) + E(et)
= 0.02 + 0.5 * 0 + 0
= 0.02
The variance of rt:
Var(rt) = Var(0.02 + 0.5rt-2 + et)
= Var(et) (since the term 0.5rt-2 does not contribute to the variance)
= 0.02
The mean of the return series rt is 0.02, and the variance is 0.02.
To compute the lag-1 and lag-2 autocorrelations of rt, we need to determine the correlation between rt and rt-1, and between rt and rt-2:
Lag-1 Autocorrelation:
ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))
Lag-2 Autocorrelation:
ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))
Since we are given r100 = -0.01 and r99 = 0.02, we can substitute these values into the equations:
Lag-1 Autocorrelation:
ρ(1) = Cov(rt, rt-1) / (σ(rt) * σ(rt-1))
= Cov(r100, r99) / (σ(r100) * σ(r99))
= Cov(-0.01, 0.02) / (σ(r100) * σ(r99))
Lag-2 Autocorrelation:
ρ(2) = Cov(rt, rt-2) / (σ(rt) * σ(rt-2))
= Cov(r100, r98) / (σ(r100) * σ(r98))
To compute the 1- and 2-step-ahead forecasts of the return series at
t = 100, we use the given model:
1-step ahead forecast:
E(rt+1 | r100, r99) = E(0.02 + 0.5rt-1 + et+1 | r100, r99)
= 0.02 + 0.5r100
2-step ahead forecast:
E(rt+2 | r100, r99) = E(0.02 + 0.5rt | r100, r99)
= 0.02 + 0.5E(rt | r100, r99)
= 0.02 + 0.5(0.02 + 0.5r100)
The associated standard deviation of the forecast errors can be calculated as the square root of the variance of the return series, which is given as 0.02.
Thus,
Mean of rt = 0.02,
Variance of rt = 0.02,
Lag-1 Autocorrelation (ρ1) = -0.01,
Lag-2 Autocorrelation (ρ2) = Unknown,
1-step ahead forecast = -0.005,
2-step ahead forecast = 0.02,
The standard deviation of forecast errors = √0.02.
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Find the surface area 9 cm 6 cm 6 cm
Answer:
144cm²
Step-by-step explanation:
The surface area of a shape = area of all the sides added together
area of bottom side (square) = 6 x 6 = 36
area of triangles = \(\frac{1}{2}\) x 6 x 9 = 27
27 x 4 =108
108 + 36 = 144
Answer:
\(A_{total} = 144\ cm^2\)
Step-by-step explanation:
Step 1: Determine the area of the bottom square
\(A = l * w\)
\(A = 6\ cm * 6\ cm\)
\(A = 36\ cm^2\)
Step 2: Determine the area of the triangle
\(A= \frac{h *b}{2}\)
\(A=\frac{9\ cm * (6\ cm/2)}{2}\)
\(A=\frac{9\ cm * 3\ cm}{2}\)
\(A=13.5\ cm^2\)
Since we have two of these right triangles on each side we come out to having 8 of these triangles total since we have 4 sides. We multiply 8 by our area from one triangle.
\(A=13.5\ cm^2*8\)
\(A = 108\ cm^2\)
Step 3: Determine the surface area
\(A_{total} = 36\ cm^2 + 108\ cm^2\)
\(A_{total} = 144\ cm^2\)
Answer: \(A_{total} = 144\ cm^2\)
please help im failing math
Answer:
I'm pretty sure it's 60 cm², or "A", but if it's not please note that I'm sorry
Step-by-step explanation:
15x4=60
. If Tyrion doesn't outsmart anyone, then everyone vanquishes their enemies if and only if no one acts with honor. 1 O (3x)Otx = ((Vy) Vy = (az) ~Hz) (3x)Otx = ((y)Vy = (V2)Hz) ~ (Ex)Otu (Vy)Vy=(Ez)Hz) (Ex) Otx ((Vy)Vy = (z)Hz) O 2 I don't know B 8 2 points Translate this sentence into predicate logic. 5 If Daenerys loves Jon but Jon doesn't love Daenerys, then neither no one rides a dragon nor someone doesn't deceive Cersei. 5 (Ldja - Ljd) (c) Rx V (Ec) - Dxc) O (LdjLjd) ((Vx)Rr V (Vx) - Duc) 7 I don't know 8 (Ldja - Ljd) (:)R-V (3x)Dcc) O (Ldja ~ Ljd) > (() RIV~ (Fr)Dcc)
The translation of the sentence "If Daenerys loves Jon but Jon doesn't love Daenerys, then neither no one rides a dragon nor someone doesn't deceive Cersei" into predicate logic is as follows:
(Ldja ∧ ¬Ljd) → (¬(∃x)(Rxd ∨ ¬Dxc))
Breaking it down:
(Ldja ∧ ¬Ljd): Daenerys loves Jon, but Jon doesn't love Daenerys.
(∃x)(Rxd ∨ ¬Dxc): There exists an x (someone) who either rides a dragon (Rxd) or doesn't deceive Cersei (¬Dxc).
¬(∃x)(Rxd ∨ ¬Dxc): It is not the case that there exists someone who either rides a dragon or doesn't deceive Cersei.
So, the translated sentence states that if Daenerys loves Jon but Jon doesn't love Daenerys, then it is not the case that there exists someone who either rides a dragon or doesn't deceive Cersei.
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Brady has been
approved for a home loan on a property he has under contract. The purchase
price is $150,000, and he is required to have $5,250 as a down payment. Which
of the following loan types is Brady most likely getting?
a. Conventional loan
b. ARM loan
c. FHA loan
d. VA loan
e. Fixed loan
The type of loan that Brady most likely getting is option (a) conventional loan
Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.
ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.
VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.
Therefore, the correct option is (a) Conventional loan
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a highway is to be built between two towns, one of which lies 48.6 km south and 60.3 km west of the othe
Answer:
whats the rest of the question or what's the available answers
11. НУР 29 29° X Adj OPP X= 25.36
How would I get x=25.36 using
SOH CAH TOA
Answer: x= 25.36
Step-by-step explanation:
Solve for x:
Given: Acute Angle=29°
Hypotenuse=29
Adjacent - x=?
Relation: cosine
cos29°=\frac{x}{29}
\frac{cos29°}{1}=\frac{x}{29}
29(cos29°)=x
25.36=x
James went out for. a long walk . he walked 3/4 mile and then sat down to take rest. then walked 1/8 of a mile how far did he walk altogether
Answer:
7/8 mile
Step-by-step explanation:
3/4 = 6/8
6/8+ 1/8 = 7/8
What is the equation of a line that passes though the pointe (8, -3) and has a slope of 1/4?
Answer:
y = (1/4)x - 5
Step-by-step explanation:
We'll look for an equation having the form y=mx+b, where m is the slope and b is the y-intercept, the value of y when x=0.
We are told the slope, m, is (1/4):
y = (1/4)x+ b
We need to find a value of b such that it forces the line to go through point (8,-3). Enter that point in the equation:
y = (1/4)x + b
-3 = (1/4)(8) + b for (8,-3)
-3 = 2 + b
b = -5
The equation is y = (1/4)x - 5
See attached graph.
A management dilemma defines the research question.True or False
A management conundrum is an issue or difficulty that a manager faces that necessitates a choice. This difficulty or challenge frequently defines the study question and motivates researchers to conduct research to discover a solution that is the given statement is true.
What is research?Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Mathematics research is the long-term, open-ended investigation of a series of connected mathematical issues, the answers to which connect to and build upon one another. Because students always come up with new questions to ask based on their observations, problems are open-ended. Student research also has the following characteristics: Students create questions, tactics, and outcomes that are, at least for them, unique. Students employ the same broad techniques as research mathematicians. They go through data collection, visualization, abstraction, conjecture, and proof cycles.
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Does anybody know this ... dang ...
Answer: (6, -6)
Step-by-step explanation:
so midpoint =(\(\frac{X1+X2}{2}\),\(\frac{Y1+Y2}{2}\))
for x co ordinate
\(\frac{-2+X2}{2}\)=2
-2+X=4 (X2=x co ordinate point for b, can be written as just x now)
X=6
x co ordinate of B= 6
y co ordinates of y
\(\frac{-8+Y2}{2}\)=-7
-8+Y=-14
Y=-6
co ordinates B (6,-6)
for proof/extra explanation (NOT necessary for working):
\(\frac{Y1+Y2}{2}\)
=\(\frac{(-2)+6, (-8)+(-6)}{2}\)
=\(\frac{4, -14}{2}\)
=(2,-7)
which is the midpoint M
Multiple questions! Need help within the hour!
Select the values that make the inequality -b≤−8 true.
Then write an equivalent inequality, in terms of b.
The value of b from the inequality is 8, 8.1, 9 and 13
What is an equation?An equation is an expression showing the relationship between two or more numbers and variables.
An inequality is used to show that two numbers or variables are non equal to each other.
Dividing an inequality by negative 1, changes the inequality sign.
Given that:
-b ≤ -8
Dividing both sides of the inequality by -1:
-b / -1 ≤ -8/-1
b ≥ 8 (the inequality sign changes)
b = [8, ∞)
The value of b from the inequality is [8, ∞)
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A candy company claims that the colors of the candy in their packages are distributed with the (1 following percentages: 16% green, 20% orange, 14% yellow, 24% blue, 13% red, and 13% purple. If given a random sample of packages, using a 0.05 significance level, what is the critical value for the goodness-of-fit needed to test the claim?
The critical value for the goodness-of-fit test needed to test the claim is approximately 11.07.
To determine the critical value for the goodness-of-fit test, we need to use the chi-square distribution with (k - 1) degrees of freedom, where k is the number of categories or color options in this case.
In this scenario, there are 6 color categories, so k = 6.
To find the critical value, we need to consider the significance level, which is given as 0.05.
Since we want to test the claim, we perform a goodness-of-fit test to compare the observed frequencies with the expected frequencies based on the claimed distribution. The chi-square test statistic measures the difference between the observed and expected frequencies.
The critical value is the value in the chi-square distribution that corresponds to the chosen significance level and the degrees of freedom.
Using a chi-square distribution table or statistical software, we can find the critical value for the given degrees of freedom and significance level. For a chi-square distribution with 5 degrees of freedom and a significance level of 0.05, the critical value is approximately 11.07.
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The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (_,_)
The coordinates of the point that is a reflection of Y across the y-axis are (_,_) also anwser the top u know
Answer:
(-4,2)
Step-by-step explanation:
Every car in the USA has a mileometer. A mileometer shows the total distance that a car has travelled. Rahim bought a used car and paid $15 000 for it. When Rahim bought the car, the mileometer read: 0 0 9 3 8 5 miles. When Rahim wanted to sell the car, the mileometer read: 0 5 4 0 4 5 miles. He has been told that the value of the car will drop by 5 cents for every kilometre driven. How much money should Rahim expect to get for selling his car? Remember: $1 = 100 cents. Hint: First find out how many kilometres the car has been driven then work out how much the value of the car will drop by in dollars. Finally, subtract the value lost from the original value of the car to calculate how much the car will sell for. (3 marks)
Answer:
Rahim should expect to sell his car for approximately $11,406.35
Step-by-step explanation:
Rahim drove his car for 54,045 - 9,385 = 44,660 miles
if the car depreciates 5¢ for every kilometer driven, we must convert 44,660 miles to kilometers
44,660 miles x 1,60934 kilometers/mile = 71,873.12 ≈ 71,873 kilometers
the car depreciated by 71,873 x $0.05 = $3,593.65
Rahim should expect to sell his car for approximately $15,000 - $3,593.65 = $11,406.35
find the values of x,y, and z