Answer:
A. They are both vertical lines.
B. Undefined slope
there is 1/3 of a pan of cornbread left. Four children are going to share it equally. What fraction of the whole pan of cornbread with each child get?
If there is no difference between the ditributions of scores in two groups, your effect size will be equal to?
If there is no difference between the distributions of scores in two groups, the effect size will be equal to zero.Effect size is a measure used to quantify magnitude of a difference or relationship between variables.
It provides information about the practical significance or importance of an observed effect. In the context of comparing distributions of scores between two groups, a non-zero effect size indicates that there is a difference between the groups.
However, when there is no difference between the distributions of scores in the two groups, it implies that the effect size is zero. This means that the observed effect or relationship is negligible, indicating that the groups are essentially similar and there is no meaningful distinction between them.
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Find the area of the shaded region
Answer:
12 sq. units
Step-by-step explanation:
The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.
To do this, multiply the base (6) and height lengths (4). This gets you 24.
But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.
If efgh is a parallelogram then
These are some of the properties Opposite sides are parallel, Opposite sides are equal in length , Opposite angles are equal, Consecutive angles are supplementary, Diagonals bisect each other that hold true if EFGH is a parallelogram.
If EFGH is a parallelogram, then:
1. Opposite sides are parallel: In parallelogram EFGH, side EF is parallel to side HG, and side FG is parallel to side EH.
2. Opposite sides are equal in length: In parallelogram EFGH, side EF is equal in length to side HG, and side FG is
equal in length to side EH.
3. Opposite angles are equal: In parallelogram EFGH, angle E is equal to angle G, and angle F is equal to angle H.
4. Consecutive angles are supplementary: In parallelogram EFGH, angle E and angle F are supplementary, angle F and
angle G are supplementary, angle G and angle H are supplementary, and angle H and angle E are supplementary.
5. Diagonals bisect each other: In parallelogram EFGH, if you draw diagonals EG and FH, they will bisect each other,
meaning the point where they intersect will divide each diagonal into two equal parts.
These are some of the properties that hold true if EFGH is a parallelogram.
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ou have three submissions for each question except the multiple choice questions 4. [-15 Points ] Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x+y+z=3.
The volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + z = 3 is 27.
We can use the following steps to solve the given problem:
Step 1: Consider the given plane equation x + y + z = 3.
Step 2: Now, find the intercepts of the plane on the axes, as follows:Putting x = 0 and y = 0 in the equation x + y + z = 3, we get z = 3.So, the z-intercept is 3.Putting x = 0 and z = 0 in the equation x + y + z = 3, we get y = 3.So, the y-intercept is 3.Putting y = 0 and z = 0 in the equation x + y + z = 3, we get x = 3.So, the x-intercept is 3.Therefore, the intercepts of the plane x + y + z = 3 on the three axes are 3, 3, and 3.
Step 3: Let the rectangular box be of dimensions l, b, and h, respectively, and one of its vertices be (0, 0, 0).So, the other three vertices of the box will be (l, 0, 0), (0, b, 0), and (0, 0, h).Also, the coordinates of the vertex of the rectangular box on the plane x + y + z = 3 will be (3, 0, 0), (0, 3, 0), and (0, 0, 3).Hence, l = 3, b = 3, and h = 3.Substituting these values in the formula for the volume of a rectangular box, we get:V = l × b × h= 3 × 3 × 3= 27Therefore, the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + z = 3 is 27.
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Solve 5/6= 4/x
A. 7
B. 4.6
C. 5
D.4.8
Answer:
I think it's D, i might be wrong but im pretty sure it's D
(Multiplying Linear Expressions LC)
Simplify five eights times a times three-sevenths times a.
30 over 56
15 over 56 times a squared
30 over 56 times a squared
15 over 56 times a
Answer:
(b) 15 over 56 times a squared
Step-by-step explanation:
You want the product of (5/8a) and (3/7a).
MultiplicationThe commutative and associative properties of multiplication help you find this product:
\(\dfrac{5}{8}a\,\times\,\dfrac{3}{7}a = \left(\dfrac{5}{8}\cdot\dfrac{3}{7}\right)\times (a\cdot a)=\dfrac{5\cdot3}{8\cdot7}a^2=\boxed{\dfrac{15}{56}a^2}\)
Each time you flip a certain coin, heads appears with probability p. Suppose that you flip the
coin a random number N of times, where N has the Poisson distribution with parameter λ and
is independent of the outcomes of the flips. Find the distributions of the numbers X and Y of
resulting heads and tails, respectively, and show that X and Y are independent.
The distributions of the numbers X and Y of resulting heads and tails [(pλ)^k / k! e^(-pλ)] [(1-p)^λ / (1-p+ p/k+1)] and [(pλ)^m / m! e^(-pλ)] [(1-p)^λ / (1-p+ p/m+1)]. Here, X and Y are independent.
Let X be the number of heads and Y be the number of tails. Then we have:
X + Y = N
We want to find the distributions of X and Y. Let's start with X:
P(X = k) = P(X = k | N = n)P(N = n)
where P(X = k | N = n) is the probability of getting k heads given that the number of flips is n. This is simply a binomial distribution with parameters n and p:
P(X = k | N = n) = (n choose k) p^k (1-p)^(n-k)
where (n choose k) is the binomial coefficient.
The probability of N being equal to n is given by the Poisson distribution:
P(N = n) = e^(-λ) λ^n / n!
Therefore, we have:
P(X = k) = ∑ P(X = k | N = n)P(N = n)
= ∑ (n choose k) p^k (1-p)^(n-k) e^(-λ) λ^n / n!
= e^(-λ) / k! ∑ (n choose k) p^k (1-p)^(n-k) λ^n
= e^(-λ) / k! (pλ + (1-p)λ)^k ∑ ((pλ + (1-p)λ)/λ)^n / (k+1)^n
= e^(-λ) / k! (pλ + (1-p)λ)^k e^(pλ+(1-p)λ) / (k+1)
= [(pλ)^k / k! e^(-pλ)] [(1-p)^λ / (1-p+ p/k+1)]
The first factor in the last expression is the Poisson distribution with parameter pλ, which means that X has a Poisson distribution with parameter pλ.
Similarly, Y has a Poisson distribution with parameter (1-p)λ is [(pλ)^m / m! e^(-pλ)] [(1-p)^λ / (1-p+ p/m+1)]
Now we need to show that X and Y are independent. To do this, we need to show that for any values k and m:
P(X = k and Y = m) = P(X = k) P(Y = m)
Using the expressions we found earlier for P(X = k) and P(Y = m), we have:
P(X = k and Y = m) = e^(-λ) / k! [(pλ)^k e^(-pλ)] [(1-p)^m λ^m e^(-(1-p)λ)]
P(X = k) P(Y = m) = e^(-λ) / k! [(pλ)^k e^(-pλ)] [(1-p)^λ / (1-p+ p/m+1)] e^(-λ) / m! [(1-pλ)^m e^(pλ)]
Notice that the two expressions are the product of two factors, one depending on k only, and the other depending on m only. Therefore, the joint distribution of X and Y factorizes into the product of their marginal distributions, which means that X and Y are independent.
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Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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What is 2/19 as a percentage?
Give your answer rounded to one decimal place.
Answer:
10.53%
Step-by-step explanation:
The first step is to divide 2 by 19 to get the answer in decimal form: 2 / 19 = 0.1053 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.1053 * 100 = 10.53%
Answer:
11%
Step-by-step explanation:
Divide 2 by 19 and then move the decimal place twice to the right. It should be 10.5 but if rounded it becomes 11 so 11%
The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as:
v= √2gH tanh (√2gH/2L. T)
where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Develop a MATLAB script that
a. Plots the function f(H) versus H for H = 0 to 4 m (make sure to label the plot) and
b. Uses LastNameBisect with initial guesses of xl = 0 and xu = 4 m to determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe.
The equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.
The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed using the equation:
v= √2gH tanh (√2gH/2L. T)
where g = 9. 81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s).
To plot the velocity function f(H) versus H for H = 0 to 4 m, we can use MATLAB to create a script that uses the equation to calculate the velocity for each value of H. We can then plot the points on a graph, with H on the x-axis and v on the y-axis.
To determine the initial head needed to achieve υ = 5 m/s in 2. 5 s for a 4-m long pipe, we can use the LastNameBisect method with initial guesses of xl = 0 and xu = 4 m. This will use the equation with the given values for pipe length and elapsed time to calculate the initial head needed to achieve the desired velocity.
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Janelle is considering two options for saving money. One option earns simple interest while the other option earns interest compounded monthly. If there are no additional deposits or withdraws, how much more will Janelle earn with the compound interest option? Assume Janelle deposits $3,000 at 3% interest for 7 years for both options
Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years
In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.
For the simple interest option, the interest is calculated using the formula:
I = P * r * t
Where:
I is the total interest earned
Using the given values, we can calculate the interest earned with simple interest:
I = 3000 * 0.03 * 7
I = 630
Now, let's calculate the total amount earned with the compound interest option.
Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:
r = 0.03/12
t = 7 * 12
Using these values, we can calculate the total amount with compound interest:
\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)
A ≈ 3,729.19
To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:
Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19
Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.
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Given the following data:
2, 3, 5, 6, 8, 10, 12, 15, 18, 20
Find the following:
1. Q1
2. Q2
3. Q3
4. D5
5. D7
6. D8
7. P25
8. P60
9. P75
10. P30
To find the quartiles and deciles for the given data set, we need to arrange the data in ascending order and then use the appropriate formulas.
To find Q1, we need to find the median of the lower half of the data set. Since there are an even number of data points, we take the average of the two middle values:
Q1 = (3 + 5) / 2 = 4
To find Q2 (also known as the median), we simply find the middle value of the data set:
Q2 = 8
To find Q3, we need to find the median of the upper half of the data set:
Q3 = (15 + 18) / 2 = 16.5
To find D5, we need to find the value that is 5% of the way through the data set:
D5 = 2
To find D7, we need to find the value that is 7/10 of the way through the data set:
D7 = 10
To find D8, we need to find the value that is 8/10 of the way through the data set:
D8 = 12
To find P25, we need to find the value that is at the 25th percentile of the data set. This is the value that is greater than or equal to 25% of the data:
P25 = 3
To find P60, we need to find the value that is at the 60th percentile of the data set:
P60 = 10
To find P75, we need to find the value that is at the 75th percentile of the data set:
P75 = 15
To find P30, we need to find the value that is at the 30th percentile of the data set:
P30 = 5
In summary, to find the quartiles and deciles for the given data set, we arranged the data in ascending order and used the appropriate formulas. We found that Q1 is 4, Q2 is 8, and Q3 is 16.5. We also found that D5 is 2, D7 is 10, and D8 is 12. In addition, we found that P25 is 3, P60 is 10, P75 is 15, and P30 is 5.
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The larger room is twice as long as the smaller room. How long is the larger room. Small room is 20 4/5 feet
The length of the larger room is 208/5 feet, which can also be expressed as 41 3/5 feet.
Let's assume the length of the smaller room is "x" feet. According to the given information, the larger room is twice as long as the smaller room.
Therefore, the length of the larger room would be 2x feet.
Given that the length of the smaller room is 20 4/5 feet, we can convert it to a mixed fraction:
20 4/5 = 20 + 4/5 = (20 * 5 + 4) / 5 = (100 + 4) / 5 = 104/5
So, we have:
x = 104/5
To find the length of the larger room (2x), we can substitute the value of x:
2x = 2 * (104/5) = 208/5
The length of the larger room is 208/5 feet, which can also be expressed as 41 3/5 feet.
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Enter the number that
goes beneath the
radical symbol.
Answer:
18
Step-by-step explanation:
\(distance=\sqrt{(1+2)^2+(2+1)^2}=\sqrt{18}.\)
At a local used car lot, one out of every three cars is red. If the car lot has 54 cars on it, how many cars are red
Answer:
If there are 54 cars, that would mean about 18 would be red.
Is this relation a function?
Answer:
Yes, this is a function
Step-by-step explanation:
ok
Which correlation coefficient represents a moderate negative correlation? r = –0. 04 r = –0. 24 r = –0. 64 r = –0. 94.
The correlation coefficient represents a moderate negative correlation is -0.64.
We have to determineWhich correlation coefficient represents a moderate negative correlation?
According to the questionThe correlation coefficient is a measure of the strength of the linear relationship between two variables and is denoted by r.
The values between 0.3 and 0.7 indicate a moderate positive (negative) linear relationship.
The values between -0.3 and -0.7 indicate a moderate negative linear relationship.
The only value of r in the option is r= -0.64 lies in a given interval of the moderate negative linear relationship.
Hence, the correlation coefficient represents a moderate negative correlation is -0.64.
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solve this equation p-3 1/6=-2 1/2
Answer:
p=2/3
Step-by-step explanation:
The value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
p - 3 1/6 = -2 1/2
To solve the above linear equation in one variable first convert mixed fraction to fraction:
p - 19/6 = -5/2
p = -5/2 + 19/6
Take LCM of 2 and 6
p = (-15 + 19)/6
p = (4)/6
p = 2/3
Thus, the value of p in the linear equation in one variable p - 3 1/6 = -2 1/2 is 2/3 or p = 2/3.
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what is the solution to 4x-14+3x=161
Answer:
x = 175/7
Step-by-step explanation:
Combining the like terms in 4x-14+3x=161, we get
7x = 175, and so:
x = 175/7
how many integers divisible by 6 lie between -30 and 39?
Answer:
the answer is 11.
Step-by-step explanation:
To find the number of integers divisible by 6 between -30 and 39, we need to find how many multiples of 6 are in this range.
The first multiple of 6 greater than -30 is -24 (which is 6 times -4), and the last multiple of 6 less than 39 is 36 (which is 6 times 6).
So, we need to count the number of integers between -4 and 6 (inclusive), because each of these integers multiplied by 6 will give us an integer in the range -30 to 39 that is divisible by 6.
There are a total of (6 - (-4) + 1) = 11 integers between -4 and 6 inclusive, so there are also 11 integers between -30 and 39 that are divisible by 6.
Every seventh-grade student at Martin Middle School takes one world language class. One-tenth of the seventh-grade students take French. Eighteen seventh-grade students take French. Which equation represents s, the total number of seventh-grade students at the middle school? 18 = 0. 1 s 18 = StartFraction 10 over s EndFraction StartFraction s over 0. 1 EndFraction = 18 10 s = 18.
The equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: \(18 = 0.1s\)
How to find the one-nth part of a thing?Suppose that the whole thing is of value V.
Then its one-nth part is symbolically written as: \(V \times \dfrac{1}{n}\) (V is divided in n equal part, and each part is called one-nth part of V).
For the considered case, we've got the figures as:
Every seventh grade student at considered school takes one language class. It means, if s = Total number of seventh grade student, then:
\(\dfrac{s}{7}\) is the number of students taking language class.
Now, it is said that: One-tenth of the seventh grade students like French, and that they are total 18 in counts.
Writing it symbolically gives:
\(\dfrac{s}{10} = 18\)
Since we know that \(\dfrac{a}{b} = a \times \dfrac{1}{b}\)
Thus,
\(\dfrac{s}{10} = s \times \dfrac{1}{10} = s \times 0.1= 18\\\\0.1 s = 18\\18 = 0.1s\)
(sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Thus, the equation that represents s, the total number of seventh-grade students at the middle school is given by: Option A: \(18 = 0.1s\)
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4. 13x + 5y = -11
13x + 11y = 7
Solution:
Answer:
y=2/3
Step-by-step explanation:
Answer:
(-2,3) x= -2 y=3
Step-by-step explanation:
The first thing you should do is convert both into standard y=mx+b form
For the first equation you subtract 5y and add 11 to both sides to get
13x+11= -5y
you divide by negative 5 to get
-13x/5-11/5=y
For the second equation we subtract 11y and 7 from both sides to get
13x-7= -11y
divide both sides by -11 to get
-13x/11 + 7/11
We then set both equations equal to each other and solve for x
-13x/5-11/5= -13x/11 + 7/11
Add 11/5 to both sides to get
-13x/5 = -13x/11 + 156/55
Add 13x/11 to both sides to get
-78/55x=156/55
Divide and solve for x to get -2
Then plug x = -2 into the original equations to find y
13*-2 + 5y = -11
-26 + 5y = -11
Add 26 to both sides
5y= 15
y =3
A vanilla thickshake is $2 more than a fruit juice. If 3 vanilla thinkshakes and 5 fruit juices cost $30, determine their individual price.
Answer:
vanilla=$5 and fruit juice=$3
Step-by-step explanation:
let $x and $y denote the cost of vanilla thickshake and fruit juice respectively.
Now,
$x=$y+2$ (Given)-----(i)
3×$x + 5×$y =30
3×($y+$2)+5×$y=30 (From equation i )
3×$y +$6 + 5×$y = 30
8×$y + $6 = $30
8×$y= $24
.: $y =$3
Then,
From i
$x =$y+$2
=$3+$2
#$5
3) Anthony colors 50% of the total
shapes on his paper. He colors 12
shapes. Enter the number of shapes
on Anthony's paper.
Answer: 24
Step-by-step explanation:
50% is just 0.5, or half. If half of the shapes are 12, then the total will be double of 12, or 24 shapes.
A man loses 10 percent by selling his watch for 450 find the cost price of the watch
If a man loses 10 percent by selling his watch for 450 then the cost price of the watch would be 500.
Let's assume the cost price of a watch is 100.
So, after selling at a loss of 10 percent, the selling price of the watch is 90.
By comparing the assumed selling price of the watch with the original selling price, 450/90 = 5.
So, the original selling price is 5 times the assumed selling price.
Thus original cost price should also be 5 times of assumed cost price, so the original cost price × 5 = 100 × 5 = 500.
Hence the original cost price of the watch is 500.
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What is the slope of the line shown below?
Answer:
c
Step-by-step explanation:
which of the following will shift the production possibilities curve outward?i. an increase in the production of investment goodsii. an increase in the production of consumer goodsiii. technological progress
Answer:
If not choose all that apply, technological process will shift the PPC right (outwards)
Step-by-step explanation:
The production possibilities curve represents the maximum amount of goods and services that a country can produce with its limited resources. It is a graphical representation of the trade-offs a country must make between producing one good or service over another. Any factor that can increase production will shift the curve outward, indicating an increase in the maximum amount of goods and services that can be produced.
An increase in the production of investment goods will shift the curve outward because it will increase the amount of capital goods that can be used to produce other goods and services. Investment goods are items like machinery, equipment, and infrastructure that are used to produce other goods and services. By increasing the production of investment goods, a country can increase its productive capacity, allowing it to produce more goods and services in the future.
An increase in the production of consumer goods will not shift the curve outward because it does not increase the country's productive capacity. Consumer goods are items that are consumed immediately, like food, clothing, and electronics. While an increase in the production of consumer goods can lead to short-term economic growth, it will not increase the country's long-term productive capacity.
Technological progress, on the other hand, will shift the production possibilities curve outward. Technological progress refers to advancements in technology that increase productivity, reduce costs, and improve efficiency. By adopting new technologies, a country can produce more goods and services with its existing resources, allowing it to shift its production possibilities curve outward.
In conclusion, an increase in the production of investment goods and technological progress will shift the production possibilities curve outward, while an increase in the production of consumer goods will not.
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he value of a baseball player's rookie card began to increase once the player retired. When he retired in 1999 his card was worth $7.81. The value has increased by $1.28 each year since then. Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation. Is the relationship between x and y proportional? What was the value of the card in 2005? Question content area bottom Part 1 Express the relationship with an equation.
The value of the card in 2005 is $15.49.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
When he retired in 1999 his card was worth $7.81 but the value has increased by $1.28 each year since then.
Therefore, the value of the card in 2005 will be:
y = 7.81 + 1.28x
where x = number of years
From 1999 to 2005 is 6 years. This will be:
= 7.81 + 1.28x
= 7.81 + 1.28(6)
= 7.81 + 7.68
= 15.49
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Write the equation in the slope intercept form of the line that passes through (-1,-5) and (1,5)
Answer:
5-(-5)/1-(-1)=10/2=5 slope
y-(-5)=5(x-(-1))
y+5=5(x+1)
y+5=5x+5
y=5x
Step-by-step explanation: