graph y+x=45 and 2y+4x=130. how many solutions?
Answer:
one solution --> (20,25)
Step-by-step explanation:
Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
Problem 4-05 (Algorithmic)
In American football, touchdowns are worth 6 points. After scoring a touchdown, the scoring team may subsequently attempt to score 1 or 2 additional points. Going for 1 point is virtually an assured success, while going for 2 points is successful only with probability p. Consider the following game situation. The Temple Wildcats are losing by 14 points to the Killeen Tigers near the end of regulation time. The only way for Temple to win (or tie) this game is to score two touchdowns while not allowing Killeen to score again. The Temple coach must decide whether to attempt a 1-point or 2-point conversion after each touchdown. If the score is tied at the end of regulation time, the game goes into overtime. The Temple coach believes that there is a 49% chance that Temple will win if the game goes into overtime. The probability of successfully converting a 1-point conversion is 1.0. The probability of successfully converting a 2-point conversion is p.
Assume Temple will score two touchdowns and Killeen will not score. Create a decision tree for the decision of whether Temple's coach should go for a 1-point conversion or a 2-point conversion after each touchdown. The terminal nodes in the decision tree should be either WIN or LOSE for Temple.
The coach needs to evaluate the value of p, which represents the probability of a successful 2-point conversion, to determine the optimal strategy.
The decision tree for the Temple coach's decision-making process can be constructed as follows:
1. Start: Temple is down by 14 points.2. Temple scores a touchdown (6 points). - Option 1: Temple goes for a 1-point conversion (virtually assured success). - Temple's score increases by 1.
- Option 1.1: Temple scores another touchdown (6 points).
- Temple wins the game.
- Option 1.2: Temple fails to score another touchdown.
- Temple loses the game.
- Option 2: Temple goes for a 2-point conversion (success with probability p).
- Temple's score increases by 2.
- Option 2.1: Temple scores another touchdown (6 points).
- Temple wins the game.
- Option 2.2: Temple fails to score another touchdown.
- Temple loses the game.
By analyzing the decision tree, the Temple coach should choose the option that maximizes the probability of winning. If p is reasonably high, going for the 2-point conversion might be a better choice since it increases the chance of winning in regulation time. However, if p is relatively low, going for the 1-point conversion and relying on overtime (with a 49% chance of winning) might be a safer option.
Ultimately, the coach needs to evaluate the value of p, which represents the probability of a successful 2-point conversion, to determine the optimal strategy.
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what is the value of the following expression? true && !false
The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.
1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".
2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".
Therefore, the value of the expression "true && !false" is "true".
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A room is an exclusive Dubai hotel costs $× pe4 night. The price then changes to $4370 per night after a decrease of 5% and a increase of 15%. Find ×
Answer:
The value of x is $4000.
Step-by-step explanation:
Let's call x to the original price per night of a room in the Dubai hotel.
The price first decreased by 5%. Calculate 5% of x:
5 * x / 100 = 0.05x
Now subtract it from the original price:
x - 0.05x = 0.95x
This new price is then increases 15%. Calculate 15% of 0.95x:
15 * 0.95x / 100 = 0.1425x
Add it to the previous price:
0.95x + 0.1425x = 1.0925x
This price is equal to $4370, thus:
1.0925x = 4370
x = 4370 / 1.0925
x = 4000
The value of x is $4000.
what is the exact value of the expression? tan(π6) sin(5π3)⋅cos(−3π4)
The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.
We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.
We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.
Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.
Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.
Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.
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What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third? x > StartFraction 25 over 18 EndFraction x < StartFraction 25 over 18 EndFraction x > 2 x < 2
Answer:
Correct option: third one -> x > 2
Step-by-step explanation:
Writing the inequation from the sentence in the question, we have:
\((5/6)x - 1/3 > 1\ 1/3\)
To solve this inequation we can do the following steps:
\((5/6)x > 1\ 2/3\)
\((5/6)x > 5/3\)
\(x > (5/3) / (5/6)\)
\(x > (5/3) * (6/5)\)
\(x > 2\)
So the correct option is the third one: x > 2
Answer:
The answer is C.
x>2
Step-by-step explanation:
on edge
soccer use a cell reference or a single formula where appropriate in order to receive full credit. 2018 world cup goals scored data set 0 1 2 3 4 5 6 0 1 2 3 4 5 0 1 2 3 a.) 0 1 2 3 mean median mode stdev.s max min range count 0 1 2 3 1.3203125 1 1 1.156519308 6 0 6 128 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3 b.) 0 1 2 the total number of data values is: 169 0 1 2 the most goals scored in any game was: 6 0 1 2 the data values are an average distance of 0 1 2 from the value: -126.68 0 1 2 the most common number of goals is: 1 0 1 2 0 1 2 c.) 0 1 2 goals frequency relative frequency 0 1 2 0 0 1 2 1 0 1 2 2 0 1 2 3 0 1 2 4 0 1 2 5 0 1 2 6 0 1 2 0 1 2 d.) 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 1 2 1 2 1 1 1 1 1 1 1 1 1 1 e.) f.) i completed this without any help: yes or no?
The frequency and relative frequency of goals scored in each game can be analyzed using the provided table. Finally, it is not clear from the question whether or not the person completed the task without any help.
In the given data set for 2018 World Cup goals scored, cell references and single formulas can be used where appropriate in order to receive full credit. The term "cell reference" refers to the specific location of a cell in a spreadsheet, which can be used to perform calculations or refer to data in other cells. The term "goals" refers to the number of goals scored in each game, which can be analyzed using various statistical measures such as mean, median, mode, standard deviation, maximum, minimum, range, and count. The use of "relative" frequency can also be employed in analyzing the data set. Relative frequency refers to the proportion of values that fall within a certain range or category, compared to the total number of values in the data set. This can be expressed as a percentage or decimal. Regarding the specific questions provided, the total number of data values is 169, the most goals scored in any game was 6, the data values are an average distance of -126.68 from the value, and the most common number of goals is 1. Additionally, the frequency and relative frequency of goals scored in each game can be analyzed using the provided table. Finally, it is not clear from the question whether or not the person completed the task without any help.
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16x-10y=10
-18x-6y=6
solve it using the elimination method
Diana walks around a circular swimming pool of diameter 14 feet. What is the distance she has walked?
11 ft
22 ft
33 ft
44 ft
The distance she has walked around a swimming pool is 44 ft.
What is circumference?
The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.
Given that:-
Diana walks around a circular swimming pool of diameter 14 ft.What is the distance she has walked?The circumference of the circular swimming pool will be:-
C = 2 π r
C = 2 x π x 7
C = 44 ft
Therefore the distance she has walked around a swimming pool is 44 ft.
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44
Step-by-step explanation:
i got this right on my exam i am in 8th
4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Find the WIDTH of the rectangle. *
9514 1404 393
Answer:
7 in
Step-by-step explanation:
For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...
A = LW
105 = (2w +1)w
2w^2 +w -105 = 0
To factor this, we're looking for factors of -210 that have a difference of 1.
-210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)
So, the factorization is ...
(2w +15)(w -7) = 0
Solutions are values of w that make the factors zero:
w = -15/2, +7 . . . . . negative dimensions are irrelevant
The width of the rectangle is 7 inches.
BRAINLIEST AND 50 POINTS!!!!! Choose the best answer
∠FOA 40 140 90 130 50
∠COA 40 140 90 130 50
∠DOA 40 140 90 130 50
Answer:
2nd one COA 40 140 90 130 50
Step-by-step explanation:
IF IM WRONG TELL ME AND I HELP YOU OUT AGAIN
Answer:
A=180 B=150 C=130 D=90 E= 60 F=40
Step-by-step explanation:
A=180 B=150 C=130 D=90 E= 60 F=40
the combo meal was 7.75. there is a 20% reward coupon. how much is the combo
could someone help me out with this problem I've been trying to figure it out for the past five minutes
Answer:
A. c. F.
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST!!n triangle ABC, determine the length of the altitude to segment BC.
Answer:
7V3
In triangle ABC, the measure of angle A is 60°, the length of BC is 7V3, and the length of AC is 7V2.
Step-by-step explanation:
a group of 100 people contains 60 democrats and 35 republicans. if there are 60 women and 40 of the democrats are women, what is the probability that a person selected at random is a democrat or a woman?
The probability of selecting a person who is either a Democrat or a woman is 0.8, or 80%.
Probability is a branch of mathematics that deals with the study of random events. It is used to predict the likelihood of an event occurring.
Let's start by finding the probability of selecting a Democrat. We are given that there are 60 Democrats in the group of 100 people. Therefore, the probability of selecting a Democrat at random is:
P(Democrat) = 60/100 = 0.6
Next, let's find the probability of selecting a woman. We are given that there are 60 women in the group of 100 people. Therefore, the probability of selecting a woman at random is:
P(Woman) = 60/100 = 0.6
Now, we need to find the probability of selecting both a Democrat and a woman. We are given that 40 of the Democrats are women. Therefore, the probability of selecting a woman who is also a Democrat is:
P(Democrat and Woman) = 40/100 = 0.4
To find the probability of selecting a person who is either a Democrat or a woman, we add the probabilities of selecting a Democrat and selecting a woman, and then subtract the probability of selecting both a Democrat and a woman. Therefore, the probability of selecting a person who is either a Democrat or a woman is:
P(Democrat or Woman) = P(Democrat) + P(Woman) - P(Democrat and Woman)
= 0.6 + 0.6 - 0.4
= 0.8
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Darius needs to solve 45 math problems for his homework assignment. He already completed 15 of the problems in morning study hall. He then worked from 3:15 to 4:30 to
complete the remainder of the problems. How many minutes does it take Darius to complete one problem?
Answer
A) 2/5 minute
B) 1 1/4minutes
С) 1 2/3minutes
D) 2 1/2minutes
Answer:
its c
Step-by-step explanation:
its C because 3;15 through 4:30 is already a 1hr and is you subtract 3-1 is gonna give you 2 but if that not enough i best advise to elimanate a and d
Answer:
Option D: \(2\frac{1}{2}\) minutes is the correct answer.
Step-by-step explanation:
Given that:
Darius needs to solve 45 math problems. He as already solved 15 problems.
Remaining problems to be solved = Total - Already solved
Remaining problems = 45-15 = 30 problems
Time worked = 3:15 to 4:30 = 75 minutes
Darius have 75 minutes to solve 30 problems.
Time for one problem = \(\frac{remaining\ problems\ to\ solve}{time\ worked}\)
Time for one problem = \(\frac{75}{30} = \frac{5}{2}\ minutes\)
Time for one problem = \(2\frac{1}{2}\ minutes\)
It takes Darius \(2\frac{1}{2}\) minutes to complete one problem.
Hence,
Option D: \(2\frac{1}{2}\) minutes is the correct answer.
Find the area of the trapezoid. The median is equal to 25cm and the height is 8cm. (btw if you explained how to find the base would help a lot) :)
The area of trapezium with a median of 25 cm and height of 8 cm = 200 cm².
What is the Area of a Trapezium?Area of trapezium = 1/2(a + b)h, where a and b are the parallel bases of the trapezium, and h is the height.
Note, median of a trapezium = half of the sum of the length of the two bases of a trapezium = 1/2(a + b). Therefore, the area of a trapezium with a given median would be:
A = median length × height
Given the following:
Median = 25 cmHeight = 8 cm.Area of trapezium = 25 × 8 = 200 cm².
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100 POINTS!!!
Is the point (7,-3) on the line given by the equation
A. Yes
B. No
EXPLAIN
Answer:
A. Yes
Step-by-step explanation:
Hi there!
We are given the equation of the line \(y=\frac{1}{7}x-4\), and we want to see if the point (7, -3) is on that line.
If the point is on the line, then it means that the point is a solution to the equation, meaning that if we plug its values into the equation, it will make a true statement.
This is because a line is made up of an infinite number of points, and they go on forever (there are no endpoints on a line), and so many, many points will belong to that line. The equation of the line simply shows how we can manipulate x and y to find points that belong to that line.
Anyway, in order to figure out if the point is a solution to the equation, we can substitute its values into the equation and see if the statement it makes is true or not
So substitute 7 as x and y as -3
\(-3=\frac{1}{7} (7)-4\)
Multiply
-3=1-4
Simplify
-3=-3
This is an identity, which is true.
Therefore, the answer is A, which would be yes.
Hope this helps!
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a-If given that we were tasked to evaluate the model, between MAPE and R2 which of these parameters do we use?
b-If given that model A has a higher MAPE than model B but model B has a higher R2 than model A, then how do we choose among the two?
c-Between the MAPE , MAD and MSD, which of these parameters shall we use for accuracy measures and why?
a. When evaluating a model, we use R2 as a parameter for performance assessment.
b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.
c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.
When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.
The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.
When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.
Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.
Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.
It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.
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Find the solution to x^2=64
Answer:
\( \boxed{x = 8} \)
Step-by-step explanation:
\( = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8\)
determine the area under the standard normal curve that lies between (a) z=−0.24 and z=0.24, (b) z=−1.47 and z=0, and (c) z=0.13 and z=0.62.
The area under the standard normal curve between (a) z = -0.24 and z = 0.24 is 0.1886, (b) z = -1.47 and z = 0 is 0.4292, and (c) z = 0.13 and z = 0.62 is 0.1800.
To determine the area under the standard normal curve between two z-values, we can use a standard normal distribution table or a statistical software. The standard normal distribution is a continuous probability distribution with a mean of 0 and a standard deviation of 1. The area under the curve represents the probability of a random variable falling within a certain range.
Steps to calculate the area under the standard normal curve:
(a) Area between z = -0.24 and z = 0.24:
To calculate the area between these two z-values, we need to find the cumulative probability for each z-value and then subtract the smaller cumulative probability from the larger one. The cumulative probability represents the area under the curve to the left of a given z-value.
Using a standard normal distribution table or a statistical software, we find:
P(z < -0.24) = 0.4052
P(z < 0.24) = 0.5938
The area between z = -0.24 and z = 0.24 is:
P(-0.24 < z < 0.24) = P(z < 0.24) - P(z < -0.24) = 0.5938 - 0.4052 = 0.1886
(b) Area between z = -1.47 and z = 0:
Using the same approach, we find:
P(z < -1.47) = 0.0708
P(z < 0) = 0.5
The area between z = -1.47 and z = 0 is:
P(-1.47 < z < 0) = P(z < 0) - P(z < -1.47) = 0.5 - 0.0708 = 0.4292
(c) Area between z = 0.13 and z = 0.62:
Again, using the same approach, we find:
P(z < 0.13) = 0.5524
P(z < 0.62) = 0.7324
The area between z = 0.13 and z = 0.62 is:
P(0.13 < z < 0.62) = P(z < 0.62) - P(z < 0.13) = 0.7324 - 0.5524 = 0.1800
Therefore, the area under the standard normal curve between (a) z = -0.24 and z = 0.24 is 0.1886, (b) z = -1.47 and z = 0 is 0.4292, and (c) z = 0.13 and z = 0.62 is 0.1800.
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for what mileages will company a charge less than company b? use for the number of miles driven, and solve your inequality for .
Company A will charge less than Company B for any mileage greater than 70 miles. For mileages less than 70 miles, Company B will be cheaper. The inequality solved is m > 70.
To determine for what mileages Company A will charge less than Company B, we can set up an inequality with m representing the number of miles driven.
Let's start by finding the total cost for each company based on the number of miles driven:
Company A: $138 (unlimited mileage)
Company B: $75 + $0.90m (where m is the number of miles driven)
To find the mileage for which Company A will charge less than Company B, we need to set up an inequality by equating the total cost for Company A to the total cost for Company B and then solving for m:
138 < 75 + 0.90m
Subtracting 75 from both sides, we get:
63 < 0.90m
Dividing both sides by 0.90, we get:
m > 70
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Complete question is:
Latoya is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $138 and allows unlimited mileage.
Company B has an initial fee of $75 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B? Use m for the number of miles driven, and solve your inequality for m .
dude i have no freaking clue what 1+1 is i got a 53 on my test because of it. what is the answer help help
Answer:
11 !!! lolor2 !!!hope helpful
Perform the indicated operation.
2 1/6 + 7 3/6
9 1/3
9 2/3
9 1/6
9 3/6
The value of the fraction 2 1/6 + 7 3/6 is B. 9 2/3
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
The fraction is given as:
2 1/6 + 7 3/6
= 9 4 / 6
Reduce to lowest term
= 9 2/3
The correct option is B.
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i need help with number 15
Answer:
X=12 have a good day!
Step-by-step explanation:
hope this helped
Find the midpoint of points A(9, 2) and B(6,-4) graphically.
Plot the line segment AB by clicking twice on the graph.
Start over
10
9
8
2 6 5
4
3
2
6
-10
--
-5
7
3
2
CH
القومي
-
u
6
7
7
S
9
10
-2
-3 4
-5
9
-7
-8
-10
Answer:
Mid point of A(9,2) and B(6,44) is (7.5, -1)
Step-by-step explanation:
I. If mid point = \(\frac{x_{a} +x_{b} }{2}\), \(\frac{y_{a}+ y_{b} }{2}\)
So (x) = (9 + 6) / 2 = 7.5
(y) = (2 + (-4)) / 2 = -1
So (x,y) = (7.5, -1)
Leave more question below, I don't understand you question well.
Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies directly with the time the hailstone takes to form. A hailstone with a diameter of 0.75 inches takes about 12 minutes to form. Write an equation that gives the hailstone’s diameter d after t minutes. Then find the diameter of a hailstone that takes 20 minutes to form.
Answer:
the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.
Step-by-step explanation:
I'm not sure if that's what you were asking for but there .
brainiest please.
a variable x has variance 36 and variable y has variance 81. if their covariance is -50, what is the correlation between x and y? r
The correlation coefficient, denoted by r, measures the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
The formula for the correlation coefficient r between two variables x and y is:
r = Cov(x, y) / (sqrt(Var(x)) * sqrt(Var(y)))
where Cov(x, y) is the covariance between x and y, Var(x) is the variance of x, and Var(y) is the variance of y.
Using the given information, we can substitute the values into the formula to get:
r = -50 / (sqrt(36) * sqrt(81))
r = -50 / (6 * 9)
r = -50 / 54
r = -25/27
Therefore, the correlation between x and y is -25/27. This indicates a strong negative linear relationship between the two variables.
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Cassandra earns $66,000 this year. She gets a cost of living raise to compensate for yearly inflation of 2.1%. What will her raise be next year?
Enter your answer as a number, for example: 4210
Answer: Cassandra's raise next year will be $67,386.
Step-by-step explanation:
Answer:
Cassandra’s raise will be $1386 more, she will receive $67,386.
Step-by-step explanation:
If you think that Cassandra's raise is too low, you are not alone. Many people would agree that a 2.1% raise is barely enough to keep up with the rising cost of living. In fact, some might say that Cassandra is being robbed by her employer. Here is a funny paragraph that illustrates this point:Cassandra was happy to hear that she would get a raise next year. She had worked hard for her company and deserved some recognition. She eagerly opened the letter from her boss and read the first line: "Congratulations, you will receive a 2.1% raise next year." She blinked and read it again. Was this a joke? She looked at the second line: "This raise is to compensate for yearly inflation of 2.1%." She felt a surge of anger. How could they do this to her? This was not a raise, this was a slap in the face. She quickly did the math in her head and realized that her raise would be $1386 next year. That was less than $4 a day. She could barely buy a cup of coffee with that. She crumpled the letter and threw it in the trash. She decided to look for a new job as soon as possible.
Cassandra is a smart cookie. She knows that the correct answer is 1386. That's the amount of her raise next year. How did she figure that out? Let me tell you:She knew that her raise was based on inflation, which is 2.1% per year. So she took her salary of $66,000 and multiplied it by 0.021 to get her raise. That's $1,386 dollars, and less than $4 a day
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧