Option 1 with the discount and 4% simple interest has a total cost of $972, while Option 2 with no discount and no interest has a total cost of $1000. Option 1 is the better choice as it has a lower total cost.
What is simple interest?Simple interest is a type of interest that is calculated on the original principal amount of a loan or investment. It is a fixed percentage of the principal amount that is paid by the borrower or earned by the lender over a specific period of time.
According to question:To compare the two options, we need to calculate the total cost of each option and compare them.
Option 1: 10% discount and pay off with 4% simple interest
The discount reduces the price of the television to $1000 x 0.9 = $900. If the customer chooses to pay it off at 4% simple interest, the total cost would be:
Total cost = $900 + ($900 x 0.04 x 3) = $972
Option 2: Full price and pay off in 3 years with no interest
The total cost of this option would be simply the full price of $1000 paid over 3 years, so:
Total cost = $1000 / 3 = $333.33 per year x 3 years = $1000
Comparing the two options, we see that Option 1 with the discount and 4% simple interest has a total cost of $972, while Option 2 with no discount and no interest has a total cost of $1000. Therefore, Option 1 is the better choice as it has a lower total cost.
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The complete question is: The store sells a television for $1000. customers can choose to receive 10% discount and pay it off at a simple interest rate of 4% or they can choose to pay the full price and pay it off in 3 years with no interest. which option is better?
Option 1 with the discount and 4% simple interest.
Option 2 with no discount and no interest.
There are 14 people in an office with 4
different phone lines. If all the lines begin to ring at once, how many groups of 4
people can answer these lines?
After using permutations and combination, There are 1001 groups of 4 people that can answer the 4 different phone lines if all the lines begin to ring at once.
To determine the number of groups of 4 people that can answer the 4 different phone lines, we can use the combination formula, which is:
nCr = n! / (r! * (n-r)!)
where n is the total number of people in the office and r is the number of people needed to answer each phone line.
In this case, n = 14 (the total number of people in the office) and r = 4 (the number of people needed to answer each phone line).
So, the number of groups of 4 people that can answer the 4 different phone lines is:
¹⁴C₄ = 14! / (4! * (14-4)!) = 1001
Therefore, there are 1001 groups of 4 people that can answer the 4 different phone lines if all the lines begin to ring at once.
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If a large bag of the same candy has 75 pieces, which of the 5 colors is likely to appear the most? justify your answer.
If a large bag of the same candy has 75 pieces, then the expected average for each color is 15 pieces.
Now, let's apply this concept to our candy problem. If the bag of candy has 75 pieces, we can assume that each color makes up approximately 1/5 or 20% of the total. That means each color should have an equal chance of appearing, with an expected average of 15 pieces per color (75 pieces divided by 5 colors).
However, this is only an expected average. In reality, there may be some variation in the number of pieces of each color that we actually find in the bag. This variation can be caused by a variety of factors, such as the manufacturing process, the mixing of different batches of candy, or even random chance.
To determine which color is likely to appear the most, we can look at the range of variation for each color. If the range of variation for a particular color is higher than the expected average of 15 pieces, then that color is more likely to appear more often than the others. On the other hand, if the range of variation is lower than the expected average, then that color is less likely to appear as often.
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I need help on this ! Please
Answer: Infinitely many solutions
Step-by-step explanation:
On the graph I have attached, you can see the two lines overlap each other. This means the linear equations have an infinite amount of solutions.
1+3=?
i don't know
im not very smart
Answer:
4
Step-by-step explanation:
count 3 what comes next
please help I need this complete
Answer: [tex]c-34=21[/tex]; 55 cups of lemonade.
Step-by-step explanation:
We are given the amount sold and the amount leftover so we need to figure out how many cups were there at the start. Since you are subtracting the amount of cups you sold from the amount you start with and it equals an end amount, the cups can be modeled by the equation [tex]c-34=21[/tex] rather than [tex]21+c=34[/tex].
Now to solve for c
[tex]c-34=21\\[/tex]
add 34 to both sides
[tex]c=55[/tex]
the chance of a blizzard tommorrow is 5%. write the complement of this event
Answer:
the chance of a blizzard tommorrow is 5%. write the complement of this event
Step-by-step explanation:
The complement of an event is the event that it does not happen, so the complement of a blizzard occurring tomorrow with a 5% chance is that a blizzard does not occur tomorrow with a probability of:
100% - 5% = 95%
Therefore, the complement event is that there is a 95% chance that a blizzard does not occur tomorrow.
please I need help finding degree of expression
Answer:
5
Step-by-step explanation:
100% correct
I need help with these 2 please
Question 7. C (rectangular pyramid)
Question 8. 17 cm
Answer:
Question 7:C rectangular pyramid
Question 8: C 120 in
A=2(wl+hl+hw)=2·(10·2+5·2+5·10)=160
Step-by-step explanation:
three cards are drawn with replacement from a standard deck of 52 cards. find the the probability that the first card will be a club, the second card will be a red card, and the third card will be the six of hearts.
The probability of drawing three cards with replacement from a standard deck of 52 cards is 1/416.
The probability of drawing three cards with replacement from a standard deck of 52 cards is to be found when the first card is a club, the second card is a red card, and the third card is the six of hearts.
Here, the Probability of the first card being a club = P(C) = 13/52 = 1/4 [Since there are 13 clubs in the deck of 52 cards]
Probability of the second card being a red card = P(Red) = 26/52 = 1/2 [Since there are 26 red cards in the deck of 52 cards]
Probability of the third card being six of hearts = P(6 of hearts) = 1/52 [Since there is only one six of hearts in the deck of 52 cards]
Therefore, the Probability of drawing three cards with replacement from a standard deck of 52 cards is
= P(C) × P(Red) × P(6 of hearts)= 1/4 × 1/2 × 1/52= 1/416
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Use Lagrange multiplier techniques to find shortest and longest distances from the origin to the curve x2 + xy + y2 = 3. shortest distance longest distance
The shortest distance from the origin to the curve x2 + xy + y2 = 3 is √(6-2√7) and the longest distance is √(6+2√7).
We have to find the shortest and longest distances from the origin to the curve x^2 + xy + y^2 = 3. This can be done using the Lagrange multiplier technique.
Given, x^2 + xy + y^2 = 3.
We have to minimize and maximize the distance of the origin from the given curve. The distance of the origin from the point (x, y) is given by √(x²+y²).
Therefore, we have to minimize and maximize the function f(x, y) = √(x²+y²) subject to the constraint x^2 + xy + y^2 = 3.
Now, we have to form the Lagrange function.
L(x, y, λ) = f(x, y) + λ(g(x, y))
where, g(x, y) = x2 + xy + y2 - 3L(x, y, λ) = √(x²+y²) + λ(x2 + xy + y2 - 3)
Now, we have to find the partial derivatives of L with respect to x, y, and λ.
∂L/∂x = x/√(x²+y²) + 2λx+y = 0 ............. (1)
∂L/∂y = y/√(x²+y²) + λx+2λy = 0 ............. (2)
∂L/∂λ = x² + xy + y² - 3 = 0 ............. (3)
Solving equations (1) and (2), we get x/√(x²+y²) = 2y/x.
Since x and y cannot be equal to 0 simultaneously, we can say that x/y = ±2.
Substituting x = ±2y in equation (3), we get y²(5±2√7) = 9.
Now, we can solve for x and y to get the values of (x, y) at which the minimum and maximum value of the distance of the origin occurs.
Using x = 2y, we get y²(5+2√7) = 9 ⇒ y = ±3/√(5+2√7)
Using x = -2y, we get y²(5-2√7) = 9 ⇒ y = ±3/√(5-2√7)
Therefore, the four points at which the distance is minimum and maximum are {(2/√(5+2√7), 1/√(5+2√7)), (-2/√(5+2√7), -1/√(5+2√7)), (2/√(5-2√7), -1/√(5-2√7)), (-2/√(5-2√7), 1/√(5-2√7))}.
To find the minimum and maximum distances, we can substitute these points in f(x, y) = √(x²+y²).
After substituting, we get the minimum distance as √(6-2√7) and the maximum distance as √(6+2√7).
Therefore, the shortest distance from the origin to the curve x^2 + xy + y^2 = 3 is √(6-2√7) and the longest distance is √(6+2√7).
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a crime reporter was told that on average, 3000 burgalries per month occured in the city, write null hypothesis
A crime reporter's null hypothesis is:H0: The actual number of burglaries per month is 3000.
A null hypothesis is a hypothesis that claims that there is no significant relationship between two variables. The term "null" implies that no effect exists or that the effect is negligible. The null hypothesis is typically utilized in scientific research and experiments. It is also utilized in statistical studies, such as those investigating cause-and-effect relationships or the effects of a treatment or intervention.
The null hypothesis of a crime reporter regarding 3000 burglaries per month is that there is no significant difference between the observed results and what is expected or hypothesized. This is because 3000 burglaries per month is the average, and the null hypothesis aims to verify whether this is the actual result.
Therefore, a crime reporter's null hypothesis is:H0: The actual number of burglaries per month is 3000.
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If x is a positive integer , 4x^1/2 is equivalent to
If x is a positive integer , 4x^1/2 is equivalent to product of 2 and square root of x, wherein it would surely be a positive value greater than 2.
Positive integers are the numbers on the number line which are greater then zero and extend on the right hand side of the number line till infinity. These numbers are also whole numbers in itself such as 1, 2, 3...,∞. When 4x^1/2 is calculated, it is assumed that 4x is raised to power half, which will provide the answer as 2√x.
It is because square root of 4 will be 2 and that of x will be √x. Square roots are the numbers obtained by multiplying a specific number by the number itself. For example: 3×3 = 9 or square root of 9 is 3.
If some positive integer is fixed in the equation, the desired outcome would be obtained as follows:
If x=4, (4×4)^1/2 = 4
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Find the area of the shaded part of the figure.
Answer:
60.5 cm²
Step-by-step explanation:
You want the shaded area of a parallelogram that has a trapezoid shape removed from it.
Parallelogram areaThe area of the parallelogram is the product of its base and height:
A = bh
A = (10 cm)(8 cm) = 80 cm²
Trapezoid areaThe area of the trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(5.5 cm +7.5 cm)(3 cm) = 1/2(13 cm)(3 cm) = 19.5 cm²
Shaded areaThe shaded area is the area of the parallelogram less the unshaded area of the trapezoid:
shaded = 80 cm² -19.5 cm² = 60.5 cm²
The shaded part of the figure has an area of 60.5 cm².
Solve the following: 2x + y = 15 y = 4x + 3
Which conic section is formed when a plane intersects the central axis of a double-napped cone at a 90° angle?
The conic section that formed when a plane intersects the central axis of a double-napped cone at a 90° angle is circle
When a plane intersects the central axis of a double-napped cone at a 90° angle, the resulting conic section is a circle.
To understand why this is the case, we can first consider the properties of a double-napped cone. A double-napped cone is formed by rotating a straight line, called the generatrix, around an axis that intersects the line at a fixed point, called the vertex. The resulting surface consists of two parts, each of which is a circular cone.
Now, let us imagine a plane that intersects the central axis of the double-napped cone at a 90° angle. Since the central axis of the cone is perpendicular to the base, the plane must intersect both cones at their widest point, which is also their center. At this point, the cone has a circular cross-section, which means that the plane intersects the cone in a circle.
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Answer:
circle
got it right on edg
given the discussion in example 9.4.4, what is the maximum possible length of the repeating section of the decimal representation of 727 1,229 ?
The maximum possible length of the repeating section of the decimal representation of 727 1,229 is 7.
The maximum possible length of the repeating section of the decimal representation of 727 1,229 is 7. The repeating section is comprised of 729.
To calculate this, first consider the prime factorization of 727 1,229. 727 1,229 = 17 × 43 × 137.
Since 17, 43 and 137 are all prime numbers, the prime factorization will not yield a power of 10 as a factor. Therefore, the repeating section must have a length of 7 in the decimal representation of 727 1,229.
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Last season, a hockey player had 28 goals. This season, the player had 12 goals. By what percent has the number of goals decreased? Round to the nearest percent -57% -28% -42% -133% O
Answer:The answer is...... I want you to get it but I will help you solve!!
Step-by-step explanation:
What you want to do first is find out how many points decreased.
28-12=?
Then you will take the number decreased and divide it by the original last season goals 28. The smaller number will get divided by 28.
You will get a .(decimal)??? take that number you get and move the .(decimal) over 2 places to the right(that is because it's a %) and you will have your answer.
Hanna has a bag of 20 sweets and eats 7 of them what fraction of the sweets does she eat?
The fraction of sweets that does she eat is 7/20
In this case, we will be using fractions to describe the portion of sweets that Hanna eats from her bag of 20.
Hanna has a bag of 20 sweets, and she eats 7 of them. To find out what fraction of the sweets she eats, we need to determine the ratio of the number of sweets she eats to the total number of sweets in the bag.
So in this case, Hanna eats 7 sweets, and there are 20 sweets in the bag. Therefore, the fraction of sweets she eats can be written as:
=> 7/20
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Emily needs enough fabric for 3½ hats, since she has half done already. If each hat requires1 2/7 feet of fabric how much will she need to make the 3½ hats
Using simple mathematical operations we know that 4.5 ft of fabric is needed.
What are mathematical operations?A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.
Parentheses, Exponents, Multiplication and Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).
So, to find the fabric needed:
1 2/7 feet of fabric
Then, 3 1/2 hands will need:
= 9/7 * 7/2
= 9/2
= 4.5 ft of cloth
Therefore, using simple mathematical operations we know that 4.5 ft of fabric is needed.
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Correct question:
Emily needs enough fabric for 3 1/2 hat's since she has half a hat done already. if each hat requires 1 2/7 feet of fabric, how much fabric will she need to make the 3 1/2 hat's?
The number of hours, x, Ryan rides his bike and the total number of miles, y, he rides is a lineadrelationship. Ryan has already ridden 5 miles, and he can ride at a constant rate of(12 miles per hour. Write an equation relating × hours and y miles. Then predict how many minutes will pass for Ryan to have traveled a total of 60 miles.
Answer: If x represents the number of hours that Ryan rides his bike, and y represents the total number of miles that he rides, we can write the equation relating x and y as:
y = 12x + 5
This is a linear equation in slope-intercept form, where the slope is 12 (the rate at which Ryan rides, in miles per hour) and the y-intercept is 5 (the number of miles Ryan has already ridden).
To predict how many minutes it will take for Ryan to ride a total of 60 miles, we can substitute y = 60 into the equation and solve for x:
60 = 12x + 5
55 = 12x
x = 55/12
To convert this to minutes, we need to multiply by 60, since there are 60 minutes in an hour:
x (in minutes) = (55/12) * 60
x (in minutes) ≈ 275
Therefore, it will take Ryan approximately 275 minutes (or 4 hours and 35 minutes) to ride a total of 60 miles.
Step-by-step explanation:
the sample proportion is always included in the confidence interval for population proportions. is this surprising?
It is not surprising that the sample proportion is always included in the confidence interval, as the sample proportion is considered as the estimate of the confidence interval.
Given a confidence interval what are the point estimate of the population mean and the margin of error?A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
The point estimate is the sample proportion for a confidence interval of proportions, hence it is not surprising that the sample proportion is always included in the confidence interval for population proportions.
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HELPPP
Write the expression as a single logarithm and then simplify, if possible.
[tex]3log5^2 - 2log5^3[/tex] simplifies to 0.
What is a lοgarithm?A lοgarithm is a mathematical functiοn that represents the expοnent tο which a given base must be raised tο prοduce a certain value. In οther wοrds, it is a way οf expressing a number in terms οf the pοwer tο which anοther fixed number, called the base, must be raised tο prοduce that number.
Using the pοwer rule οf lοgarithms, we can simplify the lοgarithms inside the expressiοn as fοllοws:
3lοg5² - 2lοg5³ [tex]= log5^{(23)} - log5^{(32)}[/tex]
Using the quοtient rule οf lοgarithms, we can cοmbine the lοgarithms as fοllοws:
[tex]log5^{(23)} - log5^{(32)} = log(5^{(23) / 5^(32)})[/tex]
Simplifying the expressiοn inside the lοgarithm:
[tex]log(5^{(23)}/ 5^{(32)}) = log(5^6 / 5^6) = log(1) = 0[/tex]
Therefοre, [tex]3\log5^2[/tex] - [tex]2\log5^3[/tex] simplifies tο 0.
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At the local pet store, zebra fish cost $2.00 each and neon tetras cost $2.30 each. If Yumi bought 13 fish for a total cost of $27.50, not including tax, how many of each type of fish did she buy?
If Yumi bought 13 fish for total then yumi bought 8 zebra fish and 5 neon tetras.
What is substitution?Substitution is a mathematical operation that involves replacing a variable or expression in an equation, function, or formula with another variable, expression, or value.
According to question:Let's assume Yumi bought x zebra fish and y neon tetras.
x + y = 13 (equation 1)
2x + 2.3y = 27.5 (equation 2)
Using equation 1, we can solve for one variable in terms of the other:
x = 13 - y
Then, change x in equation 2 to the following expression:
2(13 - y) + 2.3y = 27.5
Simplifying and solving for y:
26 - 2y + 2.3y = 27.5
0.3y = 1.5
y = 5
So Yumi bought 5 neon tetras. To find how many zebra fish she bought, we can substitute y = 5 into equation 1:
x + 5 = 13
x = 8
Therefore, Yumi bought 8 zebra fish and 5 neon tetras.
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a retired potter can produce china pitchers at a cost of $5 each. she estimates her price function to be where p is the price at which exactly x pitchers will be sold per week. find the number of pitchers that she should produce and the price that she should charge in order to maximize profit. also find the maximum profit.
The number of pitchers that she should produce and the price that she should charge in order to maximize profit is 0 and $5, respectively, and the maximum profit is $0.
Given that a retired potter can produce china pitchers at a cost of $5 each. She estimates her price function to be where p is the price at which exactly x pitchers will be sold per week.
The formula for the profit is given by,
Profit = Revenue - Cost
The revenue for selling x pitchers at a price p is xp.
The total cost of producing x pitchers is 5x.
Therefore, Profit [tex]= xp - 5x[/tex]
Profit can be expressed as a function of x using the formulae of the function,
[tex]y = xp - 5x= (p - 5)x[/tex] .............(1)
Now, the number of pitchers that she should produce and the price that she should charge in order to maximize profit can be found by finding the maximum value of the profit function (1).
Let the maximum profit be P. Maximize P with respect to x. To find the maximum of a function of x, we can find its derivative and equate it to zero.
[tex]dP/dx = 0P = (p - 5)x[/tex]
Differentiate P with respect to x again to determine whether it is a maximum or minimum.
[tex]d^2P/dx^2 = -5 < 0[/tex]
Since [tex]d^2P/dx^2[/tex] is negative, the value of P is a maximum.
Substitute the value of x from equation (1) in terms of P to find
[tex]p.P = (p - 5)*P/(p - 5) \\\\p = 5[/tex]
Therefore, the price to maximize profit is $5 and the number of pitchers to produce is,
[tex]x = P/(p - 5) = P/0 =[/tex] undefined
Maximum profit is [tex]P = (p - 5)x = (5 - 5)x = $0[/tex]
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plsss help theorical probability
calculate the theoretical probability of a 1 eyed, 1 horned, flying, purple, people eater
The theoretical probability for the 1 horned, 1 eyed, flying, people eater purple is found to be 1/120.
Explain about the theoretical probability?Experimental Probability: Based on actual results rather than mathematical calculations, the experimental probability of an occurrence is the likelihood that the event will actually occur.
Theoretical Probability: Considering that the event is ideal, the theoretical chance that it will occur is the theoretically ideal probability of a specific result. The flaws in the system are not taken into consideration by theoretical probability.
Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.
The given probability are;
1 eyed - 3/41 horned - 1/5flying - 2/3 purple -3/8 people eater - 1/2Let P(E) be the theoretical probability 1 horned, 1 eyed, flying, people eater purple.
Then,
P(E) = 3/4 * 1/5* 2/3* 3/8* 1/2
P(E) = 1/120
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Victor spent $61 on some sandpaper for his model
cars. He bought 2 packages of the smallest-grain
sandpaper and spent the rest on the largest-grain
sandpaper. How many packages of the largest-
grain sandpaper did he buy?
Size of
Grain (cm)
0.003
0.011
0.001
Cost per
Package (S)
13
7
20
Answer:
3 packages
Step-by-step explanation:
61 - 20 * 2 (small grain sandpaper) = $21 remain. The largest grain costs $7, so 21/7 = 3 packages of the largest grain sandpaper was bought.
Hope this helped!
● Thornton
1 centimeter =
50 kilometers
Peter's mother is a pilot. She often makes deliveries
near their community. Peter and his mother flew from
Charlton to Thornton to make a mail delivery. Then they
continued on to Avon and Ashton and returned to Charltc
How many kilometers did Peter and his mother
travel in all?
The answer is 250 kilometers. Peter and his mother traveled a total distance of 250 kilometers on their mail delivery.
What is distance?Distance is a numerical measurement of how far apart two objects or points are. It is a scalar quantity, meaning that it is only expressed as a magnitude, or numerical value, without any direction.
1 centimeter is equal to 0.01 kilometers, so 50 kilometers would be equal to 5,000 centimeters. The total distance between the four cities is 5,000 centimeters, which is equal to 50 kilometers.
Charltc to Thornton is 1,000 centimeters, Thornton to Avon is 1,500 centimeters, Avon to Ashton is 1,000 centimeters, and Ashton to Charltc is 1,500 centimeters. This gives us a total of 5,000 centimeters, or 50 kilometers.
This can be calculated by multiplying the total distance between the four cities (50 kilometers) by the number of times they traveled the route (5 times, since they flew from Charltc to Thornton, then to Avon, then to Ashton, and then back to Charltc). This gives us 250 kilometers, which is the answer to the question.
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Peter and his mother traveled a total distance of 250 kilometers on their mail delivery. The answer is 250 kilometers.
What is distance?Distance is a numerical measurement of how far apart two objects or points are. It is a scalar quantity, meaning that it is only expressed as a magnitude, or numerical value, without any direction.
1 centimeter = 0.01 kilometers,
so 50 kilometers = 5,000 centimeters.
Charlton to Thornton= 1,000 centimeters,
Thornton to Avon= 1,500 centimeters,
Avon to Ashton= 1,000 centimeters,
and Ashton to Charlton= 1,500 centimeters.
Total distance= 1,000+1,500+1,000+1,500
= 5,000 centimeters, or 50 kilometers.
The total distance between the four cities is 5,000 centimeters, which is equal to 50 kilometers.
This can be calculated by multiplying the total distance between the four cities (50 kilometers) by the number of times they traveled the route (5 times.
=50*5
=250
Since they flew from Charlton to Thornton, then to Avon, then to Ashton, and then back to Charlton.
250 kilometers is the answer to the question.
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Question:
Peter's mother is a pilot. She often makes deliveries near their community. Peter and his mother flew from Charlton to Thornton to make a mail delivery. Then they continued on to Avon and Ashton and returned to Charlton. How many kilometers did Peter and his mother travel in all?
A retailer can buy waterproof jackets that last for five years at a cost of $150 for 50 jackets. The other option is buying jackets that last for two years at a cost of $80 for 50 jackets. Which option offers the biggest savings? Show your work.
The waterproof jackets that last five years offer the biggest savings, as they have a lower cost per jacket per year.
What is a cost function?The cost curve, which in economics expresses production costs as a function of output. The loss function is a function that has to be minimised in mathematical optimization. A cost function evaluates how inaccurate the model is in estimating the connection between X and y.
Given that, cost of waterproof jackets that last for 5 years = $150 for 50 jackets.
Thus, cost of one jacket = 150/50 = $3.
The jacket lasts 5 years thus for 1 year the equivalent cost is:
3/5 = $0.60.
Now, for the other jacket:
Cost per year is = (80/50) / 2 = $0.80 per jacket per year.
Hence, the waterproof jackets that last five years offer the biggest savings, as they have a lower cost per jacket per year.
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which one do you think is the correct Triangle Congruence Theorem?
These theories are all true and can be used to demonstrate the congruence of two triangles.
what is triangle ?Three straight sides and three angles define the two-dimensional geometric form known as a triangle. It is created by joining three non-collinear plane lines. The three places where a triangle's sides intersect are known as the triangle's vertices, and the line segments that make up the triangle's sides are known as its edges or sides. A triangle's inner angles are always added up to 180 degrees. Triangles can be categorised according to their edges and side lengths.
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Many triangular congruence theorems exist, and they are all true.
The two triangles are congruent if their two sides and included angles match those of another triangle, according to the Side-Angle-Side (SAS) congruence theory.
The Angle-Side-Angle (ASA) congruence theory states that two triangles are congruent if their included sides and two angles are congruent with one another.
The two triangles are congruent if all three sides of one triangle are congruent with all three sides of the other triangle, according to the Side-Side-Side (SSS) congruence theory.
The right triangles are congruent if their hypotenuses and legs are congruent with those of another right triangle, according to the Hypotenuse-Leg (HL) congruence theory.
These theories are all true and can be used to demonstrate the congruence of two triangles.
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pls answer this!!!!
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