Answer:
2 c ( 7c + 1 )
Step-by-step explanation:
because 14 and 2 go into the table of 2
you first find out what number in table 2 go into 14 in this case 7 times 2 and then you find what number in the time table 2 give you 2 so it's 2 times 1. because it's c squared you can't not put both c inside due that would not be factorizing due that it's common and it does not have to be common.
so the answer will be 2c(7c+1)
What is the slope of 4x 2y =- 12?.
After solving, the slope of equation 4x + 2y = -12 is -2.
In the given question, we have to find the slope of 4x + 2y = -12.
The given equation is 4x + 2y = -12.
The general equation of line is y = mx + c, where m is the slope of the line and c is the y-intercept of the line.
To find the slope of the line we have to convert the given equation in the form of general equation.
We have to isolate y.
4x + 2y = -12
Subtract 4x on both side, we get
2y = -4x - 12
Divide by 2 on both side, we get
y = -4/2 x - 12/2
y = -2x - 6
On comparing the equation by general equation, we get
m = -2
Hence, the slope of the equation 4x + 2y = -12 is -2.
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The complete question is:
What is the slope of 4x + 2y = -12?
Devante has a lunch account in the school cafeteria. His
starting balance at the beginning of the month is $35.50. The
first week, Devante bought 3 lunches and his account
balance was $28.00. The second week, Devante bought 5
lunches and his account balance was $15.50.
In a model that relates the balance of his lunch ount
Answer:
35.50= 3x+5x+15.5
Step-by-step explanation:
A political scientist claims that negative advertising on television affects younger voters more than it affects older voters. To test this claim, the scientist obtained data from two random samples of voters categorized into two age-groups, older and younger. The null hypothesis was that there was no difference in the proportions of voters in the two age-groups who would be affected by negative ads. The alternative hypothesis was that the proportion of younger voters affected would be greater than the proportion of older voters affected.
Assuming all conditions for inference were met, the scientist conducted the test at a significance level of α=0.05. The resulting pp-value was 0.206. Which of the following is the correct decision for the test?
A) The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters
B) The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
C) The pp-value is greater than αα, and the null hypothesis is not rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
D) The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
E) The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than are older voters.
The correct decision for the test is The p-value is greater than α, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that younger voters are more affected by negative ads than older voters.
The correct decision for the test can be determined by comparing the p-value (0.206) with the significance level (α = 0.05).
Since the p-value (0.206) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that there is not enough evidence to support the claim that younger voters are more affected by negative ads than older voters.
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do you include the median when finding the upper and lower quartiles
No, when finding the upper and lower quartiles, the median is not included in the calculations.
When finding the upper and lower quartiles of a data set, the median (or second quartile) is not included in the calculations. The quartiles divide the data set into four equal parts, with the median representing the second quartile.
To find the lower quartile (Q1), one needs to determine the median of the lower half of the data set, excluding the median itself. This includes the data points below the median.
Similarly, to find the upper quartile (Q3), the median of the upper half of the data set is determined, excluding the median. This includes the data points above the median.
The inclusion of the median in the calculation of quartiles can cause confusion, but it is important to note that the median is separate and distinct from the quartiles.
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hellohello, this needs to be turned in tomorrow so if you could help, i would really appreciate it. :]
Answer: Im pretty sure it's true and is that Karl Jacobs as your profile pic if so i love it and i love him.
what is the solution to the system of equations y=2x^2-4 and y=4
The solution to the system of equations is (x, y) = (2, 4) and (x, y) = (-2, 4).
To find the solution to the system of equations, we can set the two equations equal to each other: 2x^2 - 4 = 4
Adding 4 to both sides: 2x^2 = 8
Dividing both sides by 2: x^2 = 4
Taking the square root of both sides (considering both positive and negative square roots): x = ±2
Now, we substitute the value of x into either of the original equations to find the corresponding y-values. Let's use the second equation: y = 4
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(a) Determine the smallest positive value of n for which a simple graph on n vertices and 2n edges can exist. Give an example of such a graph for the smallest n. (b) Let G be a simple graph with 20 vertices. Suppose that G has at most two com- ponents, and every pair of distinct vertices u and v satisfies the inequality that deg(u) + deg(v) > 19. Prove that G is connected.
(a) The smallest positive value of n for which a simple graph on n vertices and 2n edges can exist is 3. An example of such a graph for the smallest n is a triangle, where each vertex is connected to the other two vertices.
In this case, we have 3 vertices and 2n = 2 * 3 = 6 edges, which satisfies the condition.
To determine the smallest positive value of n, we need to consider the conditions for a simple graph:
1. Each vertex must be connected to at least one other vertex.
2. There should be no multiple edges between the same pair of vertices.
3. There should be no self-loops (edges connecting a vertex to itself).
Considering these conditions, we start by trying with the smallest possible n, which is 3. We construct a graph with 3 vertices and connect each vertex to the other two vertices, resulting in a triangle. This graph satisfies the conditions and has 2n = 2 * 3 = 6 edges.
(b) To prove that G is connected, we will use a proof by contradiction.
Assume that G is not connected, meaning it has two or more components. Let's consider two distinct components, C1 and C2.
Since G has at most two components, each component can have at most 10 vertices (20 vertices / 2 components). Let's assume C1 has x vertices and C2 has y vertices, where x + y ≤ 20.
Now, let's consider two vertices u and v, where u belongs to C1 and v belongs to C2. According to the given condition, deg(u) + deg(v) > 19.
Since deg(u) represents the degree of vertex u, it means the number of edges incident to vertex u. Similarly, deg(v) represents the degree of vertex v.
In C1, the maximum possible degree for a vertex is x - 1 (since there are x vertices, each connected to at most x - 1 other vertices in C1). Similarly, in C2, the maximum possible degree for a vertex is y - 1.
Therefore, deg(u) + deg(v) ≤ (x - 1) + (y - 1) = x + y - 2.
But according to the given condition, deg(u) + deg(v) > 19. This contradicts the assumption that G has at most two components.
Hence, our assumption that G is not connected is false. Therefore, G must be connected.
In conclusion, if a simple graph G has 20 vertices, at most two components, and every pair of distinct vertices satisfies the inequality deg(u) + deg(v) > 19, then G is connected.
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The table shows the cost of snacks at a baseball game Mr. Cooper by six nachos for her daughter and five friends use mental math and distributive property to determine how much change she will receive from $30
The given table shows the cost of snacks at a baseball game. The cost of each snack item is given as:| Snack Item | Cost of one snack item | Nachos | $2.50 |
We know that Mr. Cooper buys six nachos for her daughter and five friends. Therefore, the total cost of the six nachos would be 6 × $2.50 = $15.The distributive property states that, if a, b and c are three numbers, then: `a(b + c) = ab + ac`Here, a = $2.50, b = 5 and c = 1.
Hence, using distributive property, we can find the cost of six nachos for Mr. Cooper's daughter and her five friends.2.50 × (5 + 1) = 2.50 × 5 + 2.50 × 1 = $12.50 + $2.50 = $15Hence, the cost of six nachos for Mr. Cooper's daughter and her five friends would be $15.Therefore, the amount of change that Mr. Cooper would receive from $30 is: $30 - $15 = $15. Mr. Cooper would receive a change of $15.
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if DE = 7x + 3 and EF = 9x - 19,
then EF = ?
Answer:
Step-by-step explanation:
7x + 3 = 9x - 19
-2x + 3 = -19
-2x = -22
x = 11
DE= 7(11) + 3 = 77 + 3 = 80
EF = 9(11) - 19 = 99 - 19 = 80
80 + 80 = 160 for DF
Please answer soon (45 Points)
Answer:
Step-by-step explanation:
The answer is the first choice.
The maximum calories per week for the dog is 4900
One week is seven days which means:
maximum calorie/day = \(\frac{4900 calorie/day}{7 day}\)=700 calories/day
Thus the dog can have 700 or fewer calories per day
Hypotheses are always statements about which of the following? Choose the correct answer below. a Sample statistics b Population parameters c Estimators d Sample size
Hypotheses are always statements about population parameters, which are unknown values that we are trying to infer from the sample data. The correct option is a, c and d.
Hypotheses are always statements about population parameters. In statistical hypothesis testing, the null hypothesis is a statement about the population parameter that is being tested. The alternative hypothesis is a statement that contradicts the null hypothesis and proposes a different value for the population parameter.
For example, if we want to test whether the mean weight of a population of apples is 100 grams, then the null hypothesis would be that the mean weight is equal to 100 grams, and the alternative hypothesis would be that the mean weight is not equal to 100 grams.
It is important to note that hypotheses are not statements about sample statistics or estimators, which are values calculated from the sample data. Hypotheses are about the population parameter, which is an unknown value that we are trying to infer from the sample data.
The sample size, on the other hand, is an important factor in determining the accuracy and reliability of the estimate of the population parameter, but it is not the subject of the hypothesis itself.
In summary, The sample statistics, estimators, and sample size are important factors in statistical inference, but they are not the subject of the hypothesis itself. The correct option is a, c and d.
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POSSIBLE POINTS: 10
Lucy has $5 more than 3 times as much money as her friend Tanya. If Tanya hast dollars, which of the following expressions could be used to represent
how many dollars Lucy has?
Answer:
5 + 3t
Step-by-step explanation:
t = amount Tanya has
Lucy = $5 more than 3x of what Tanya has
Find the value of x. Tell what theorems you used.
Answer:
7 is isosceles so x= 55 bc the other angle is. 8 is isosceles so x= 68 and 9 is right angle all angles in a triangle add up to 180 so 180-90 /2 = 45 so x=45
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
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Urgent PLS PLS !!!!I need help on this 300 points
Answer:
Step-by-step explanation:do u need help
Answer:
(5,50)
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A dentist wants a small mirror that, when 2.80 cm from a tooth, will produce a 5.0× upright image. What must its radius of curvature be? Follow the sign conventions.
To create a 5.0× upright image of a tooth when the mirror is 2.80 cm away from it, the radius of curvature of the mirror must be 2.33 cm.
In optics, the relationship between the object distance (o), the image distance (i), and the radius of curvature (R) for a mirror is given by the mirror formula:
1/f = 1/o + 1/i
where f is the focal length of the mirror. For a spherical mirror, the focal length is half the radius of curvature (f = R/2).
In this case, the mirror is placed 2.80 cm away from the tooth, so the object distance (o) is -2.80 cm (negative because it is on the same side as the incident light). The desired image distance (i) is 5.0 times the object distance, so i = 5.0 * (-2.80 cm) = -14.0 cm.
Using the mirror formula, we can solve for the radius of curvature (R):
1/(R/2) = 1/(-2.80 cm) + 1/(-14.0 cm)
Simplifying the equation, we find:
1/R = -1/2.80 cm - 1/14.0 cm
1/R = -0.3571 cm⁻¹ - 0.0714 cm⁻¹
1/R = -0.4285 cm⁻¹
R ≈ 2.33 cmcm
Therefore, the radius of curvature of the mirror must be approximately 2.33 cm to produce a 5.0× upright image of the tooth when the mirror is placed 2.80 cm away from it.
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The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
The area of the sail is 68 square feet, find its height and the length of the base.
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
Sarah needs to earn a C in her Algebra class. Her current test scores are 69, 75, 65, and 83. Her final exam is worth 4 test scores. In
order to earn a C Sarah's average must lie between 70 and 79 inclusive. What range of scores can Sarah receive on the final exam to
earn a C in the course?
s final exam scores[
(Type an integer or a simplified fraction.)
Answer:
Sarah must get between a 67 and 85.
Step-by-step explanation:
69 + 75 + 65 + 83 = 292
70 ≥ 1/8(292 + 4x) ≥ 79
70 ≥ 0.5x + 36.5 ≥ 79
67 ≥ x ≥ 85
Which value of x would make No || Kj?
1
6
8
10
please help in math!!! i need help in both (a) and (b) !! brainliest to who answers both!!
Part A
Answers:
Number of terms = 2Type = BinomialVariables = p and qNumerical coefficients = 4 and 7Degree = 3-------------------------
Explanation:
The two terms are separated by a plus sign. Since we have two terms, we have a binomial.
bi = 2nomial = names or termsThe variables are p and q, acting as placeholders for unknown numbers.
The coefficients are the numbers to the left of the variables, which are the 4 and 7.
The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.
==============================================
Part B
Answer: t^3 - 20t + 26
-------------------------
Explanation:
We have an expression of the form
(6t^3-3t+5) - x = (5t^3 + 17t - 21)
which rearranges to
-x = (5t^3 + 17t - 21) - (6t^3-3t+5)
-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5
-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)
-x = -t^3 + 20t - 26
x = -(-t^3 + 20t - 26)
x = t^3 - 20t + 26
A _____ is a flat surface that has no thickness.
line
plane
floor
point
Answer:
plane is correct answer
eg:
a sheet of paper
it has no thickness but have surface area
hope it helped you:)
the time to complete a bridge varies inversely with the square root of the number of people working. if 9 people can complete the job in 75 days then how long would it take 25 people?
If 09 people can complete the job in 75 days then 25 people needs 45 days to complete the job.
Let T be the time and L be the Labor (Number of people working on the bridge).
T ∞ 1/√L (Inverse relationship)
T = K/√L ----------------------------- (1)
Since, Constant "K" is introduced once the variation sign (∞) changes to equality (=) sign.
According to the question,
Time (T) = 75 days and
labor (L) = 09
From the equation (1), we get,
T = K / √L
⇒ 75 = K/√9
⇒ 75= K/3
⇒ K= 225
First, the relationship between these variables is:
T = 225/√L
Therefore, how long it will take 25 people to do it means that we should look for the time.
T=225/√L
⇒ T= 225/√25
⇒ T= 225/5
⇒ T= 45 days.
therefore, 25 people needs 45 days to complete the job.
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Add the polynomials (4x2 - 9x + 4) + (7x3 - 9x
we remove the parenthesis and add the number that have the same exponent
\(\begin{gathered} 4x^2-9x+4+7x^3-9x \\ 7x^3+4x^2+(-9x-9x)+4 \\ 7x^3+4x^2-18x+4 \end{gathered}\)HELP PLEASEEEEEE PLEASEEEEE PLEASEEEEEE
Hey there! I'm happy to help!
When evaluating the value of an expression, we need to follow the order of operations which is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction).
First, we will evaluate the exponent. 3² is 3×3 which is 9.
\(\frac{9+2*8}{16-11}\)
Now we have to do multiplication. Since the multiplication sign is between the 2 and the 8, that is what we multiply.
\(\frac{9+16}{16-11}\)
Then we will do our addition and subtraction.
\(\frac{25}{5}\)
Since all fractions are just division problems, we can do 25÷5.
25÷5=5
So, the value of this expression is 5.
Have a wonderful day and keep on learning! :D
Sal bought a house for $78,542. 60. Twelve years later he sold the house for
times as much. What was the sale price of the house?
Answer:
157,085.2
Step-by-step explanation:
78542.60 X 2
I am confused how they were able to get the constraints in ch6
problem 10P
In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.
However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.
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You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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Which of the following tables represents a linear function?
x 1 1 0 1 1
y −2 −1 0 1 2
x 0 1 2 3 4
y −3 2 0 −2 3
x −2 −1 0 1 2
y 2 0 −1 0 2
x −2 −1 0 1 2
y 3 1 −1 −3 −5
Answer:
The last table (x −2 −1 0 1 2
y 3 1 −1 −3 −5) represent a linear function.
Step-by-step explanation:
The last table has a constant rate of chage between the points. None of the others have that. In a couple, there are multiple values of y for a single value of x.
Answer:
D. x −2 −1 0 1 2
y 3 1 −1 −3 −5
Step-by-step explanation:
Hope this helps :)
y=x-10 and y=2x+5 which is the solution to the equations (15,25)15,-25-15,-2515,25
As both equation are solved to y, we can equalize them, therefore we get that
\(\begin{gathered} x-10=2x+5\rightarrow \\ x-2x=5+10 \\ -x=15 \\ x=-15 \end{gathered}\)and if x=-15 we get that y is
\(y=-15-10=-25\)So the answer is (-15,-25)
Can you see my messages?
What is 7% of 300?
Answer:21
Step-by-step explanation:
.07 x 300
Answer: 21
Step-by-step explanation: For these questions try to find shortcuts instead of solving the traditional way. We know that 300 is three times greater than 100. We know that 7% of 100 is seven. To find 7% of 300 we just multiply that seven by 3 and get 21.
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