It would take approximately 5.6 years to recoup the price difference between the Honda Accord Hybrid and the gas-powered Honda Accord, assuming a monthly driving distance of 800 miles and a gas price of $4.35 per gallon.
The hybrid would need to achieve at least 40 mpg to recoup a $3,000 price difference within 10 years.
How long does it take for the Honda Accord Hybrid to recover its price premium through fuel savings?The Honda Accord Hybrid, priced at around $31,665 and achieving a gas mileage of 48 mpg, compared to a similarly equipped Honda Accord priced at $26,100 and achieving 31 mpg, would take approximately 5.6 years to recoup the price difference through fuel savings.
To determine the distance needed to recoup the cost difference, we can use the formula: Gas Saved = Gas Price x Distance Driven x (GM_now / GM_improved), where Gas Saved is the savings in fuel costs, Gas Price is the average price of gas in the area, Distance Driven is the monthly mileage, GM_now is the gas mileage of the gas-powered car, and GM_improved is the gas mileage of the hybrid car.
Assuming the gas price is $4.35, and driving 800 miles per month, the equation becomes: $Saved = $4.35 x 800 x (31 / 48). Simplifying, we find that the monthly savings amount to approximately $452.92. Dividing the price difference of $5,565 ($31,665 - $26,100) by the monthly savings, we obtain 12.28 months, or approximately 5.6 years.
To recoup a $3,000 price difference within 10 years, the hybrid vehicle would need to achieve at least 40 miles per gallon (mpg). This calculation is based on the assumption that the standard vehicle gets 25 mpg.
In order to determine the efficiency required, we can compare the fuel savings between the hybrid and the standard vehicle over a 10-year period. Assuming an average annual mileage of 12,000 miles, the standard vehicle would consume 480 gallons of fuel each year (12,000 miles divided by 25 mpg).
To calculate the fuel consumption of the hybrid, we divide the annual mileage by the required efficiency of 40 mpg. In this case, the hybrid would consume 300 gallons of fuel each year (12,000 miles divided by 40 mpg).
The difference in fuel consumption between the hybrid and the standard vehicle is 180 gallons per year (480 gallons - 300 gallons). Multiplying this by the current fuel price gives us the annual savings achieved by the hybrid.
Considering that the hybrid vehicle costs $3,000 more than the standard vehicle, it would take 16.7 years (rounded up to 17 years) to recoup the price difference based on fuel savings alone. Thus, the hybrid would need to achieve at least 40 mpg to recoup the $3,000 price difference within 10 years.
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1/3 points Previous Answers TanApMath7 10.5.004. My Notes + Ask Your Teacher The owner of the Rancho Los Feliz has 3180 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running parallel to the sides. No fencing is required along the river. (See the figure below.) What are the dimensions of the largest area that can be enclosed? x = X yd y = 1590 yd What is this area? x yd2 Need Help?
The dimensions of the largest area that can be enclosed is 1590 × 795= 1264050 yd² when no fencing is required along the river.
Given the owner of the Rancho Los Feliz has 3180 yd of fencing to enclose a rectangular piece of grazing land along the straight portion of a river and then subdivide it by means of a fence running parallel to the sides. No fencing is required along the river.
We need to find the dimensions of the largest area that can be enclosed.
Therefore, the length of the land is the perimeter of the rectangle minus the river front.
We have; 2x + 3y = 3180 yd
Also, we can rewrite this equation in terms of x;
2x = 3180 - 3yy = (3180 - 2x) / 3
Substituting y in terms of x in the area equation;
Area A = x y= x(3180 - 2x) / 3
Taking the derivative of the area equation to find the maximum value of A;
A' = 1060 - 2x / 3 When A' = 0, x = 1590 / 2 = 795 yd.
Substitute x = 795 into the equation for y;
2(795) + 3y = 3180y = (3180 - 1590) / 3 = 530 yd
Therefore, the dimensions of the largest area that can be enclosed are; Length = 1590 yd Width = 795 yd
Hence, the area is given by; Area = Length × Width= 1590 × 795= 1264050 yd².
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what is the equation of a line perpendicular to y=-1/3x+1 and passes through the point (1,-1)
Answer:
y = 3x - 4
Step-by-step explanation
If the line is perpendicular, then it means that the slope will be opposite. So if it's -1/3 then it will become 3.
y = 3x + b
-1 = 3(1) + b
-1 = 3 + b
-4 = b
The equation is y = 3x - 4
A locker is in the shape of right rectangular prism. Its dimensions are as shown. What is the surface area of this locker?
a.412
b.392
c.432
d.448
The height of the right circular cylinder shown below is 10 feet and its base has a radius of 4 feet.
what is the surface area of the cylinder in terms of pi?
a.96
b.118
c.112
d.128
Answer:
first one is 432
Step-by-step explanation:took the test and got it right
The height and depth of locker is 40 inch and 5 inch.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
As per the known fact, volume of rectangle is calculated by multiplying the entities width, height and depth. Let us assume the depth be d.
So, the height is 4d. Keep the values in formula to find the value of depth.
10800 = 12 × d × 4d
4d² = 10800 ÷ 12
Performing Division
4d² = 900
d² = 900 ÷ 4
Performing Division
d² = 225
d = ✓225
Taking square root
d = 15
The depth of locker is 15 inch.
So, the height = 4d
Height = 4 × 15
Performing multiplication
Height = 60 inch
Therefore, the depth and height of locker is 15 inch and 40 inch.
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complete question:
A locker in the shape of a rectangular prism has a width of 12 inches. Its height is four
times its depth. The volume of the locker is 10,800 cubic inches. Find the height and depth of the locker.
Height:
Please answer^^ I will give you brainlist!
Yes 5th grade math :clown face:
Answer:
Rhombuses
Step-by-step explanation:
It has four vertical lines, then draw a Venn Diagram, opposite to opposite.
Order from Venn Diagrams:
Quadrilaterals
Rectangles
Squares
Rhombuses.
Do there exist subspaces S,T, and U of R3 such that SIT, SIU, and T 1 U? If so, provide an example of such an S, T, and U, and prove that SIT, SIU, and T 10. If not, prove why they do not exist.
There exist no subspaces S, T, and U of R³ such that SIT, SIU, and T∩U.
In order to answer the given question, we first need to understand the definition of subspaces of a vector space.A subspace of a vector space is a subset that meets three requirements:
i) It includes the zero element of the vector space.
ii) It is closed under addition (if u and v belong to the subspace, then u + v is also in the subspace).
iii) It is closed under scalar multiplication (if u is in the subspace and k is a scalar, then ku is also in the subspace).
there exist no subspaces S, T, and U of R³ such that SIT, SIU, and T∩U.
The reason is simple because if T∩U = Ø, then either SIT or SIU will be the trivial subspace {0}.
However, this contradicts the fact that both SIT and SIU have to contain a non-zero vector as they are subspaces that are generated by S, T, and U.
Therefore, it is proven that there exist no subspaces S, T, and U of R³ such that SIT, SIU, and T∩U.
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Evaluate 2m if
m = 7.2
Write a polynomial of least degree with roots 2 and – 7
Answer: x^2+5x-14
Step-by-step explanation:
2 and -7 are the roots of the polynomial then we have to write them as
x=2 ,x=-7
To convert these as factors, we have to write them as
( x-2) (x+7)
The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.
x^2+7x-2x-14
x^2+5x-14
Number of factors = Highest exponent of the polynomial
Answer:
y = x² + 5x - 14
Step-by-step explanation:
Given roots x = a, x = b, then the corresponding factors are
(x - a) and (x - b) and the polynomial is the product of the factors
y = (x - a)(x - b)
Here the roots are x = 2 and x = - 7, then the factors are
(x - 2) and (x - (- 7)) = (x + 7), so
y = (x - 2)(x + 7) ← expand using FOIL
y = x² + 5x - 14
Worth five points! it doesnt tell me if what answer is right but if i get 75% or up i will mark the first person who answered with an actual answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(
The measures of two angles in ABC are 56 and 72.
What is the measure of A?
A. 32
B. 42
C. 52
D. 62
let f be a continuous function on the interval [a,b]. select the answer that correctly completes each sentence. the area between the graph of y=f(x) and the x-axis on the interval [a,b]
A continuous function the graph of y = f(x) and the x-axis on the interval [a, b] evaluating the definite integral of f(x) over that interval, the changes of f(x) if applicable.
The area between the graph of y = f(x) and the x-axis on the interval [a, b] by evaluating the definite integral of f(x) over that interval.
The definite integral of f(x) from a to b represents the signed area between the graph of f(x) and the x-axis. The sign of the area depends on the behavior of f(x) above and below the x-axis.
If f(x) is non-negative (greater than or equal to 0) on the interval [a, b], then the area between the graph of f(x) and the x-axis will be positive or zero.
If f(x) is non-positive (less than or equal to 0) on the interval [a, b], then the area between the graph of f(x) and the x-axis will be negative or zero.
If f(x) changes sign on the interval [a, b] (i.e., it is positive in some regions and negative in others), then the area between the graph of f(x) and the x-axis will be the sum of the positive areas minus the sum of the negative areas.
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Help ASAP please and thanks
Answer: 234 - 40 = 2x
194 = 2x
97 = x
x being the amount Trey had before mowing lawns
Which is the measure of the angle shown on the protractor?
The measure of the angle should be 170° as this angle looks like an obtuse angle.
Hope that helps!
in 50 item test nestor got 95% correctly. how many correct answers did he get
Answer: 47.5 or just 47
Step-by-step explanation: Well, to start, set up a ratio.
x / 50 = 95 / 100
95 * 50 is 4750
4750 / 100 is 47.5.
Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.
let be the line spanned by -1 2 3 in . find a basis of the orthogonal complement
The required basis of the orthogonal complement is {(2, 1, 0), (3, 0, 1)}.
Given that the line spanned by (-1, 2, 3) in R3.
To find the basis of the orthogonal complement, we need to find the vector which is orthogonal to (-1, 2, 3).
Let x = (x1, x2, x3) be a vector in the orthogonal complement of the given line.
Then we have: (-1, 2, 3)·x = 0-1x1 + 2x2 + 3x3 = 0x1 = 2x2 + 3x3
Thus, every vector x in the orthogonal complement has the form x = (2x2 + 3x3, x2, x3) = x2(2, 1, 0) + x3(3, 0, 1)
Therefore, the set { (2, 1, 0), (3, 0, 1) } is a basis of the orthogonal complement of the line spanned by (-1, 2, 3) in R3.
This is because both these vectors are linearly independent, and every vector in the orthogonal complement of the given line can be written as a linear combination of these two vectors.
Hence, the required basis of the orthogonal complement is {(2, 1, 0), (3, 0, 1)}.
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PLSS HELP IMMEDIATELY!!! i’ll give brainiest if u don’t leave a link!
Answer:
Step-by-step explanation:
B i took that same quiz
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
PLS HELP!! I WILL GIVE BRAINLYIEST!!
Answer:
surface area = 544 cm²
Step-by-step explanation:
surface area = (16)(8 + 6 + 8 + 6) + (2)(8)(6) = 448 + 96 = 544 cm²
The top of the cake to be triangular with one side length 10cm, one side length 12cm and a 90-degree angle between these sides
Answer:
See attachment
Step-by-step explanation:
Given
[tex]Side\ 1 = 10cm[/tex]
[tex]Side\ 2 = 12cm[/tex]
[tex]\theta = 90^\circ[/tex]
Required [Missing from the question]
Draw the top of the cake
See attachment for reference.
From the attachment,
[tex]2cm = 1\ unit[/tex]
So:
[tex]Side\ 1 = 10cm[/tex]
[tex]Side\ 1 = 5 * 2cm[/tex]
Substitute [tex]2cm = 1\ unit[/tex]
[tex]Side\ 1 = 5 * 1unit[/tex]
[tex]Side\ 1 = 5\ units[/tex]
[tex]Side\ 2 = 12cm[/tex]
[tex]Side\ 2 = 6 * 2cm[/tex]
Substitute [tex]2cm = 1\ unit[/tex]
[tex]Side\ 2 = 6 * 1unit[/tex]
[tex]Side\ 2 = 6\ units[/tex]
This means that, the given side lengths will be represented by 5 units and 6 units on the grid, respectively.
See attachment for drawing
can someone help me with this please
Answer:
x=4
Step-by-step explanation:
so there are two triangles in that shape and they are similar to each other because their angles are equal and the ratio of their sides it 1:2
so the ratio of the side 5x & 40 is 1:2
5x/40=1/2
10x=40
x=4
Please Answer This, the question is on the picture. it needs to be a fraction
will mark brainllest if its right, no links!
Answer:
x = 19.48 or 19 12/25
Step-by-step explanation:
cos 41° = 14.7/x
x = 19.48 or 19 12/25
Find the absolute maximum and minimum values of the given function on the indicated inter- val. (a) f(x) = 31/3 - 3:2/3, on 11-,3).
The absolute maximum value of the function on the interval [-3, 1] is approximately 28.97, and the absolute minimum value is approximately 3.84.
To find the absolute maximum and minimum values of the function f(x) = 31/3 - 3x2/3 on the interval [-3, 1], we need to evaluate the function at its critical points and endpoints.
First, let's find the critical points by taking the derivative of the function:
f'(x) = (2/3)(31/3)(-3x^(-1/3)) = -2(31/3)(1/x^(1/3)) = -62/x^(1/3)
To find the critical points, we set f'(x) equal to zero and solve for x:
-62/x^(1/3) = 0
This equation has no solutions since the numerator is always non-zero.
Next, we evaluate the function at the endpoints of the interval:
f(-3) = 31/3 - 3(-3)^(2/3) ≈ 3.84
f(1) = 31/3 - 3(1)^(2/3) ≈ 28.97
Finally, we compare the values of the function at the critical points and endpoints to determine the absolute maximum and minimum:
Absolute maximum: f(1) ≈ 28.97
Absolute minimum: f(-3) ≈ 3.84
Therefore, the absolute maximum value of the function on the interval [-3, 1] is approximately 28.97, and the absolute minimum value is approximately 3.84.
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Please help ! 13 points
Answer:
...
Step-by-step explanation:
remeber that for every angle they give you, you need to subtract 90 from it to get the answer.
I don’t understand what to do
Answer:
2. 95
3. 85
4. 95
Step-by-step explanation:
Mark me brainliest? :)
Can someone please solve these equations help your boy out no files no links
Answer:
7. 0.50980392
9. 12
10. 50
When a number is multiplied by 5 before subtracting from 78 the result obtained is the same as three times the sum of the number and 5 find the number
Answer:
x = 7.875
Step-by-step explanation:
Let the number = x
When a number is multiplied by 5 before subtracting from 78 the result obtained is the same as three times the sum of the number and 5 find the number
Hence,
78 -(x × 5) = 3(x + 5)
Expand the brackets
78 - 5x = 3x + 15
Collect like terms
78 -15 = 3x + 5x
63 = 8x
x = 63/8
x = 7.875
Manny invested $8,000 in an account that pays 6.5% simple
interest. Manny will not make any additional deposits or
withdrawals. How many years must the money stay invested for
before the investment has a balance of $13,200?
Answer:
10 years
Step-by-step explanation:
Simple interest formula:
AV=PV(1+it)
13200=8000(1+.065t)
1.65=1+.065x
.65=.065x
10=x
Simplify the ratio 7:21.
(OLD HW!!)
(TIPS FOR ALGEBRA TO PLS ^^)
Answer:
Simplified : 1:3
Step-by-step explanation:
7:21 is equal to 1:3
Also, for algebra tips. Algebra is literally practice. There aren't too many complicated equations or anything until you get into a higher math class so practicing problems is best.
Answer:
7:21 = 1:3
Tips for algebra...
just know the basics and related rules or theorams and practice as much as u can
good day mate
I need the answers 1-4
Answer:
hope this helps you out question 4 and 3 are the same
According to the Capital Asset Pricing Model (CAPM), which one of the following statements is false?
a• The expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate.
b• The expected rate of return on a security increases as its beta increases.
c• A fairly priced security has an alpha of zero.
d• In equilibrium, all securities lie on the security market line.
According to the Capital Asset Pricing Model (CAPM), A) the expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate is the false statement.
According to the Capital Asset Pricing Model (CAPM), the expected rate of return on a security increases in direct proportion to an increase in the risk-free rate. Therefore, the statement that "The expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate" is false.
The Capital Asset Pricing Model (CAPM) is a model that shows the relationship between risk and expected return and is used to calculate the expected return on an investment.CAPM is based on several assumptions, one of which is that investors are rational and risk-averse.
Another assumption is that the market is in equilibrium, meaning that supply equals demand for all securities. The model also assumes that investors have homogeneous expectations of future returns and that there are no taxes or transaction costs.CAPM states that the expected rate of return on an asset is a function of the risk-free rate, the expected market return, and the asset's beta.
Beta is a measure of the asset's volatility compared to the market. If an asset has a beta of 1, it is as volatile as the market. If it has a beta of less than 1, it is less volatile than the market, and if it has a beta of more than 1, it is more volatile than the market.
Therefore, according to CAPM, the expected rate of return on a security increases as its beta increases.In equilibrium, all securities lie on the security market line, and a fairly priced security has an alpha of zero.
Therefore, options B, C, and D are true, and the answer is option A, "The expected rate of return on a security increases in direct proportion to a decrease in the risk-free rate."
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what is the total lateral area of the square pyramid in square inches, 8 inches base and 9 inches height
The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel
between the 6 and the 12, if the length of the second hand is 6 inches?
Arc length
Recall that Circumference
- 360°
3 inches
O 6 x inches
12 x inches
0 24 inches
Answer:A. 3 inches
Step-by-step explanation: :)
Answer:
b and c
Step-by-step explanation:
8) A crew is made up of 8 men; the rest are women. 66% of the crew are men. How many people are in the crew?
Answer:
12 crew members I think hope this helps :)
Step-by-step explanation:
☁️ Answer ☁️
12.
(66 2/3)
---------- (x) = 8
100
Solve for x
(66 2/3)x = 800
x = 800/(66 2/3)
x = 800/(200/3)
x = 800(3/200)
x = 4(3)
x = 12
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Hope it helps.
Have a nice day noona/hyung.