Determine the exponential equation for the graph below.
If a value is non-integer type is as a fraction. Some points on the graph
are (0,5),(1,1), and (2,-11)
The base is ?
The coefficient is ?
The exponent on our transformed function is ?
The constant we are adding to our function is ?
Answers
y = ab^x + c
Using the given points (0, 5), (1, 1), and (2, -11), we can substitute these values into the equation to determine the values of the base (b), coefficient (a), exponent, and constant (c).
1. Substituting (0, 5):
5 = ab^0 + c
5 = a + c
2. Substituting (1, 1):
1 = ab^1 + c
1 = ab + c
3. Substituting (2, -11):
-11 = ab^2 + c
We now have a system of three equations with three variables (a, b, c).
From equation 1, we have: a + c = 5 ----> Equation (4)
From equation 2, we have: ab + c = 1
Solving equations (4) and (2) simultaneously, we can eliminate c:
(a + c) - (ab + c) = 5 - 1
a - ab = 4 - 1
a(1 - b) = 3
a = 3 / (1 - b) ----> Equation (5)
Now, substitute the value of a from equation (5) into equation (1):
5 = (3 / (1 - b)) + c
Simplifying, we get:
5(1 - b) = 3 + c(1 - b)
5 - 5b = 3 + c - cb
Rearranging, we have:
2 = c - 5b + cb
2 = c(1 - 5b) ----> Equation (6)
Now, we have two equations (5) and (6) with two variables (b and c).
Equation (5) can be rewritten as:
a = 3 / (1 - b)
Substitute the value of a from equation (5) into equation (6):
2 = (3 / (1 - b))(1 - 5b)
Simplifying, we get:
2 = 3 - 15b - 3b^2
Rearranging, we have:
3b^2 + 15b - 1 = 0
Now, we can solve this quadratic equation for the value of b using the quadratic formula:
b = (-15 ± √(15^2 - 4 * 3 * (-1))) / (2 * 3)
Simplifying, we get:
b = (-15 ± √(225 + 12)) / 6
b = (-15 ± √(237)) / 6
The values of b obtained from this equation will be the base of the exponential equation.
Similarly, we can substitute the value of b into equation (5) to find the corresponding value of a, and substitute both b and a into equation (4) to find the value of c.
Once we have the values of a, b, and c, we can write the exponential equation in the form: y = ab^x + c.
Related Questions
Solve for v.
4v = 676
Answers
Answer:
v=169
Step-by-step explanation:
\(4v=676\)
Divide by 4.
\(v=\frac{676}{4}\)
\(v=169\)
Hello!
Answer:v = 169
Explanation:Since it is being multiplied (4v), we're going to have to use the opposite operation to solve. The opposite of multiplication is division.
Divide both sides of the equation by 4:
\(\frac{4v}{4}\) = \(\frac{676}{4}\)
v = 169
Pls help soon!
Find the distance between the points (-4, -5) and (3, -1).
Answers
Answer:
\(\sqrt{65}\)
Step-by-step explanation:
Please see work attached.
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Answer: \(\sqrt{65}\)
Step-by-step explanation:
distance formula is \(\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2}}\)
take the 2points in the given (-4,-5) as (\((x_{1},y_{1} )\)) and (3,-1) as \((x_{2},y_{2})\)
and just substitute to get \(\sqrt{65}\)
Find the measure of the missing angles.
Answers
Applying the vertical angle theorem, the measure of the missing angles are:
e = 31
f = 72
d = 77
What is the Vertical Angle Theorem?The vertical angles theorem states that two angles that are vertically opposite to each other have equal measures.
Angle e and 31 degrees are vertical angles. Therefore, based on the vertical angles theorem,
e = 31 degrees.
Also, d = 77 degrees [vertical angles theorem].
e + 77 + f = 180 degrees [straight line angles have a sum of 180 degrees].
Substitute the value of e into the equation
31 + 77 + f = 180
108 + f = 180
Subtract 108 from both sides
108 + f - 108 = 180 - 108
f = 72 degrees.
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you want to buy a car which will cost you $10,000. You do not have sufficient funds to purchase the car. You do not expect the price of the car to change in the foreseeable future. You can either save money or borrow money to buy the car.
Plan 1: You decide to open a bank account and start saving money. You will purchase the car when you have sufficient savings. The nominal interest rate for the bank account is 6% per annum compounded monthly.
a) You will make regular deposits in your bank account at the start of each month for the next 2.5 years. Calculate the minimum required monthly savings to be deposited into the bank such that you would have sufficient funds to purchase the car in 2.5 years.
b) You will make regular deposits in your bank account at the start of each week for the next 2.5 years. Calculate the minimum required weekly savings to be deposited into the bank such that you would have sufficient funds to purchase the car in 2.5 years.
c) You will make regular deposits of $2,000 at the end of each year. Calculate how long will it take for you to have sufficient funds to purchase the car.
Plan 2: You decide to borrow $13,000 from the bank and purchase the car now, as well as cover some other expenses. The bank offers two options for the structure of the repayments.
- Option 1: The first repayment will not start until you graduate from university. Therefore, no month-end-instalments will be made for the first 36 months. Then, commencing at the end of the 37th month, a total of 30 month-end-instalments of $X will be made over the life of the loan. The nominal interest rate is 6% per annum compounded monthly.
d) Calculate X.
e) Your parents agree to help you repay the loan by contributing a lump sum of $1,800 when you successfully graduate from university. Calculate the new value of X.
- Option 2: For the first 36 months (while you are still studying), you will be making month-end-instalments of $Y. Then, commencing at the end of the 37th month (when you graduate from university), you will double the amount of monthly repayment for the remaining 30 month-end-instalments. The nominal interest rate is 6% per annum compounded monthly.
f) Calculate the value of Y.
Answers
a) To save enough funds to purchase the car in 2.5 years, monthly deposits of $373.69 are required, while weekly deposits of $86.21 are needed.
b) With annual deposits of $2,000, it will take approximately 5 years to accumulate sufficient funds to purchase the car. For borrowing options, under Option 1, the monthly installment amount is $349.56, which reduces to $291.55 with a $1,800 lump sum contribution from parents. Under Option 2, the monthly installment amount is $237.63 for the first 36 months, doubling thereafter.
a) To calculate the minimum required monthly savings, we use the future value formula with monthly compounding: \($10,000 = PMT * ((1 + 0.06/12)^(2.5*12) - 1) / (0.06/12)\). Solving for PMT, the monthly deposit required is approximately $373.69.
b) Similarly, for weekly deposits, we use the future value formula with weekly compounding: \($10,000 = PMT * ((1 + 0.06/52)^(2.5*52) - 1) / (0.06/52)\). Solving for PMT, the weekly deposit required is approximately $86.21.
c) Using the future value formula for annual deposits: \($10,000 = $2,000 * ((1 + 0.06)^t - 1) / 0.06\). Solving for t, the time required to accumulate $10,000, we find it will take approximately 5 years.
d) For Option 1, the monthly installment amount can be calculated using the present value formula: \($13,000 = X * (1 - (1 + 0.06/12)^-30) / (0.06/12).\) Solving for X, the monthly installment amount is approximately $349.56.
e) With a lump sum contribution of $1,800, the remaining loan amount becomes $13,000 - $1,800 = $11,200. Using the same formula as in (d), the new monthly installment amount is approximately $291.55.
f) For Option 2, the monthly installment amount during the first 36 months is $Y. After 36 months, the monthly installment amount doubles. Using the present value formula: \($13,000 = Y * (1 - (1 + 0.06/12)^-36) / (0.06/12) + 2Y * (1 - (1 + 0.06/12)^-30) / (0.06/12)\). Solving for Y, the monthly installment amount is approximately $237.63.
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what is the probability that a randomly chosen family with the number of children two or more has children of the same gender
Answers
The probability that a randomly chosen family with two or more children has children of the same gender is 1/2
To find the probability that a randomly chosen family with two or more children has children of the same gender, we can use the following information:
The probability of having a boy is 1/2 and the probability of having a girl is 1/2
The number of children is 2 or more
The sample space is all possible families with two or more children.
We can use the formula of conditional probability:
P(A|B) = P(A and B) / P(B)
Where A is the event of having children of the same gender, and B is the event of having two or more children.
We can use the formula of conditional probability to find the probability of having children of the same gender given that they have two or more children.
P(A and B) = P(A) * P(B|A)
Where P(A) is the probability of having children of the same gender, which is 1/2.
P(B|A) is the probability of having two or more children given that they have children of the same gender, which can be found using the formula of conditional probability as well.
P(B|A) = 1 - P(not B|A)
Where P(not B|A) is the probability of having less than two children given that they have children of the same gender.
Given that the family has children of the same gender, the probability of having less than two children is 0, because if the family has children of the same gender, it implies that the family has at least two children.
So, P(B|A) = 1- 0 = 1
Now we can substitute these values to the first equation:
P(A|B) = P(A) * P(B|A) / P(B) = (1/2) * 1 / P(B)
The only thing left to find is P(B) which is the probability of having two or more children. We don't have the exact number, but we know that the number of children is 2 or more, so P(B) is greater than 0.
We can say that P(A and B) = P(A) * P(B|A) = (1/2) * 1 = 1/2
Thus, the probability that a randomly chosen family with two or more children has children of the same gender is 1/2.
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Airports A and B are 470 km apart, on an east-west line. Jim flies in a northeast direction from A to airport C. From Che flies 322 km on a bearing of 125° 20' to B. How far is from A? The distance b
Answers
The distance from airport A to C is approximately 361.11 km.
The distance from airport A to C can be calculated using trigonometry. Let's denote the distance from A to C as 'x'. We can form a right triangle with sides x, 322 km, and the hypotenuse 470 km (distance from A to B).
Using the given bearing of 125° 20', we can determine the angle between the line AC and AB. Since the bearing is measured clockwise from the north, we subtract it from 90° to get the angle in the triangle. So the angle between AC and AB is 90° - 125° 20' = 64° 40'.
Applying the sine function to the angle, we have sin(64° 40') = 322 km / x. Rearranging the equation, we get x = 322 km / sin(64° 40').
Now we can calculate the value of x by substituting the angle in degrees into the sine function. Evaluating the expression, we find x ≈ 361.11 km.
Therefore, the distance from airport A to C is approximately 361.11 km.
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the area of a square is 7 square meters. is the perimeter of the square a rational or irrational number of meters? explain.
Answers
The perimeter of the square is a rational number of meters. However, the product of a rational number and an irrational number is always irrational.
If the area of a square is 7 square meters, then each side of the square is √7 meters long. The perimeter of the square is simply the sum of the four sides, which is 4√7 meters.
To determine whether 4√7 is a rational or irrational number, we need to check if √7 is rational or irrational. Since √7 is not a perfect square, it cannot be expressed as a fraction of two integers. Therefore, √7 is an irrational number.
However, the product of a rational number and an irrational number is always irrational. Since 4 is a rational number and √7 is irrational, the product 4√7 is also an irrational number.
Therefore, the perimeter of the square is an irrational number of meters.
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what is the aspect ratio of a webpage set to 1440x1080
Answers
The aspect ratio of a webpage set to 1440x1080 is 4:3.
Aspect ratio is the ratio of the width to the height of a screen or an image. It is commonly expressed as two numbers separated by a colon, such as 16:9 or 4:3. To determine the aspect ratio of a webpage set to 1440x1080, we need to divide the width by the height and simplify the resulting fraction.
If the unit of measurement is pixels:
Width = 1440 pixels
Height = 1080 pixels
Aspect ratio = Width/Height = 1440/1080 = 4/3
Therefore, the aspect ratio of a webpage set to 1440x1080 pixels is 4:3.
If the unit of measurement is inches or any other physical unit:
The aspect ratio will depend on the physical dimensions of the screen.
To calculate the aspect ratio, we need to divide the physical width by the physical height.
Therefore, the aspect ratio of a webpage set to 1440x1080 in inches or any other physical unit cannot be determined without additional information about the physical dimensions of the screen.
Therefore, the aspect ratio of a webpage set to 1440x1080 is 4:3, which is found by dividing the width by the height
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A square room has a tiled floor with 81 square tiles. How many tiles are along an edge of the room?
Answers
Answer:
36 tiles
Step-by-step explanation:
Because the room is square, the numbers of tiles along the edge of the room were multiplied by the same number, meaning that:
81 = x²
So to find x, we must square root both sides of the equation:
\(\sqrt{81} = \sqrt{x^2}\)
x = 9
So the length of one side is 9 tiles. Now to calculate the circumference, as each side of a square is the same length, we can multiply this number by 4:
9 * 4 = 36
So there are 36 tiles along the edge of the room.
Hope this helps!
Gabriela was given a 15% increase in wages. If she earned $36,000 last year, what can she expect to earn this year?
Answers
The increase in the amount of wages of Gabriela is $ 41,400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount after increase in wages be = A
Now , the initial amount of Gabriela be = $ 36,000
And , the percentage increase in the wages = 15 %
So , the equation will be
Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )
Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )
Total amount after increase in wages A = 36000 + ( 15 x 360 )
Total amount after increase in wages A = 36000 + 5400
Total amount after increase in wages A = $ 41,400
Therefore , the value of A is $ 41,400
Hence , The increase in the amount of wages of Gabriela is $ 41,400
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please help me answer this 100 points for it
Answers
Answer:
Step-by-step explanation:
D . 5
Answer:
D. 5
also its me kw
Find the value of Y. Pleasee hellpp meeee
Answers
Answer:
y=30
Step-by-step explanation:
it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.
I have 90 because of the right angle. That is a 90-degree angle.
11(7+9) using distributive property
Answers
Answer:
176
Step-by-step explanation:
Apply PEMDAS
Solve the parenthesis first
11 ( 7 + 9 )
11 ( 16 )
Now open the parenthesis and you will have your answer
11 times 16
176
________ is measured in square units because it has two dimensions: length and width.
A. Area
B. Height
C. Perimeter
D. Volume
Answers
The quantity that is measured in square units is area ( option C )
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area.
The area of a rectangle is given as Length × width . The area of a triangle is 1/2 bh.
Height has only one dimension. it is measured in meters. Perimeter has only one dimension, it is also measure in meters. Volume has three dimensions i.e l × b× h = m³
Therefore Out of the options only area has two dimension i.e l× w= m× m = m²
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Find the value of each variable
Answers
Answer:
x = 22, y = 12.
Step-by-step explanation:
5x + 4 = 114 (opposite angles).
5x + 4 + 3x - 24 + 2y = 180 (adjacent angles are supplementary)
From first equation:
5x = 110
x = 22.
Substituting for x in the second equation:
114 + 3(22) - 24 + 2y = 180
2y = 180 - 114 - 66 + 24
2y = 24
y = 12.
Can dilations be used to form scale copies of a figure?
Yes
No
Sometimes
This was not in the iReady lesson
Answers
Answer:
sometimes
Step-by-step explanation:
There are several ways that dilation is used in real life. Here are several:
In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.
In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.
In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.
In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.
10. Formulating directional and nondirectional hypothesesThe term "El Niño" refers to the warming of the central and eastern tropical Pacific waters that occurs every 3 to 7 years and typically lasts from 9 to 12 months. The 1997–1998 El Niño, the strongest ever recorded, affected climate patterns worldwide. Its effect, combined with an increasing trend in annual global temperatures, made 1998 the warmest year in the 20th century.Suppose you are a climatologist. You conduct a hypothesis test to determine whether the global mean temperature in the current year is greater than the global mean temperature in 1998. Assume that the global mean temperature in 1998 was 14.3 degrees Celsius (the population mean). You obtain a preliminary sample of temperatures from recording stations worldwide, which yields a sample mean of M = 15.1 degrees Celsius.Let μ denote the global mean temperature in the current year. Formulate your null and alternative hypotheses by selecting the appropriate values in the blue dropdown menus that follow.H₀: H₁: The test you conduct is test.
Answers
The null hypothesis (H₀) would state that the global mean temperature in the current year is equal to or less than the global mean temperature in 1998.
In this scenario, the null hypothesis (H₀) assumes that there is no significant difference in the global mean temperature between the current year and 1998. The null hypothesis is typically denoted as H₀: μ ≤ 14.3, where μ represents the population mean global temperature in the current year.
The alternative hypothesis (H₁) suggests that there is a significant increase in the global mean temperature compared to 1998. Since we are testing whether the current year's temperature is greater than 1998, the alternative hypothesis is usually expressed as H₁: μ > 14.3.
By formulating these null and alternative hypotheses, the climatologist can perform a hypothesis test using the sample data to determine whether there is enough evidence to support the claim that the global mean temperature in the current year is greater than that of 1998.
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What is the equation of the function shown in the graph provided?
f(x)=?
Answers
Answer:
f(x)=3x
Step-by-step explanation:
Triangle ABC is similar to triangle XYZ
Which series of transformations correctly maps △ABC to △XYZ?
Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.
Dilate △ABC by a scale factor of 1/2 centered at the origin, then rotate the result 180∘ about the origin.
Dilate △ABC by a scale factor of 1/2 centered at the origin, then reflect the result across the x-axis.
Dilate △ABC by a scale factor of 2 centered at the origin, then reflect the result across the x-axis.
Answers
Answer: Dilate △ABC by a scale factor of 2 centered at the origin, then rotate the result 180∘ about the origin.
Step-by-step explanation:
You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
Answers
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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Simplify this expression. 4x-12/x^2-9
Answers
Answer:
4/(x+3)Step-by-step explanation:
write the expression down:
4x-12/x^2-9
factor:
4(x-3)/(x+3)(x-3)
simplify:
4/(x+3)
what is the number of cans that can be packed in a certain carton? the interior volume of this carton is 2,304 cubic inches. the exterior of each can is 6 inches high and has a diameter of 4 inches.
Answers
Answer:
Step-by-step explanation:
volume of each can
=\(\pi\)\(r^{2}\)h
22/7×\(4/2^{2}\)×6
\(\frac{88×6}{7}\)
528/7
I need an answer ASAP. Brainliest and 100 points for correct answer
Answers
Answer:
The base is 1/4
The expanded form is (1/4)(1/4)(1/4)
(1/4)³ = 1/64
Step-by-step explanation:
The base is 1/4
The expanded form is (1/4)(1/4)(1/4)
(1/4)³ = 1/64
Answer:
Step-by-step explanation:
2. The expanded form is ( 1/4 ) ( 1/4) (1/4)
5. ( 1/4 ) to the 3rd power = 1/64
My question is on the pic Find the equation of the line
Answers
ANSWER
D. y = -5x + 3
EXPLANATION
The equation of a line in slope-intercept form is,
\(y=mx+b\)Where m is the slope and b is the y-intercept.
In this graph, we can see that the y-intercept - which is the value of y where the line intersects the y-axis, is 3,
To find the slope, we will use the second point shown in the graph above. The formula to find the slope of a line passing through points (x₁, y₁) and (x₂, y₂) is,
\(m=\frac{y_1-y_2}{x_1-x_2}\)Using the points (0, 3) and (1, -2),
\(m=\frac{3-(-2)}{0-1}=\frac{3+2}{-1}=-5\)Hence, the equation of the line is y = -5x + 3.
Determine which set of side measurements could be used to form a right triangle. square root of 19 comma square root of 35 comma 54 square root of 15 comma 6 comma square root of 51 5, 8, 30 5, 6, 7
Answers
As per the concept of right angled triangle, the set of side measurements that could be used to form a right triangle is √15, 6, and √51
Right-angle triangle:
Right angle triangle means a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Given,
√19, √35, 54
√15, 6, √51
5, 8, 30
5, 6, 7
Now, we have to determine which set of side measurements could be used to form a right triangle.
Here we know that, according to the Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.
So, by using Pythagoras' theorem:
Option (2) √15, 6, √51
Makes the right angle triangle,
Because when we verify these by using the Pythagoras theorem,
(√15)² + (6)² = (√51)²
15 + 36 = 51
51 = 51
Therefore, the set of side measurements that could be used to form a right triangle is √15, 6, and √51 option (2) is correct.
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hello people ~
factorise: x² + 9x + 20
Answers
Answer:
\((x+4)(x+5)\)
Step-by-step explanation:
To factorize \(x^2+9x+20\)
\(\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b\\ \textsf{ and group into} \ (ax^2+vx)+(wx+c)\)
\(a \cdot c=1 \cdot 20=20\)
\(b=9\)
Therefore, the 2 numbers that multiply together to give 20 and add together to give 9 are: 4 and 5
\(\implies x^2+4x+5x+20\)
\(\implies (x^2+4x)+(5x+20)\)
Factor the parentheses:
\(\implies x(x+4)+5(x+4)\)
Factor out the common term \((x+4)\):
\(\implies (x+4)(x+5)\)
\(\\ \rm\rightarrowtail x^2+9x+20\)
Use mid term splitation\(\\ \rm\rightarrowtail x^2+4x+5x+20\)
\(\\ \rm\rightarrowtail x(x+4)+5(x+4)\)
\(\\ \rm\rightarrowtail (x+5)(x+4)\)
Done!
Find the perimeter of this complex figure
Answers
Answer:
38
Step-by-step explanation:
9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38
What is the forecast for May using a five-month moving average?(Round answer to the nearest whole number.) Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
A. 43 B. 47 C. 52 D. 38 E. 39
Answers
The forecast for May using a five-month moving average is 39 (Option E).
Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.
According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47
We have to add the sales of these five months, which gives:
27 + 40 + 42 + 41 + 47 = 197
To find the moving average for May, we divide this sum by 5:
197 / 5 = 39.4
Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.
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solve for x pleaseeeee
Answers
Answer:
x=22,5°
Step-by-step explanation:
x+3x=4x
4x=90
x=90/4
x=22,5
Answer:
x = 22.5
Step-by-step explanation:
Hi there bud,
We have a straight line at the bottom which is cut by perpendicular line going up. As we can see the angle of the left hand side equals 90 degree, and when we have a straight line we get a linear pair which means 180 degree.
So now we already know that one angle of the 180 degree's is 90, let find the other which we do by subtracting 90 from 180 for which we get 90 degrees.
Now that we have got 90 degree on the right hand side let's solve for x.
3x + x = 90
4x = 90
x= 90/4
x = 22.5
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Aurora earns a salary of 25,000 per year. Her benefits are equal to the value of 30% and her salary. What is the value of Aurora‘s benefits?When you add the value of Aurora’s benefits to her salary, how much is she earning in a year?
Answers
Answer: $833330 per year
Step-by-step explanation: