The total cost of the deal for the router for Tina is given by A = $ 1059.81
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total cost of the deal be represented as A
Let the initial price of the router be = $ 39.99
Now , the percentage of discount for the router = 15 %
So , the final cost of the router = ( 85/100 ) x 39.99
On simplifying , we get
The final cost of the router = $ 33.9915
Now , the number of months = 18 months
The contract rate = $ 56.99 per month
So , the total contract rate for 18 months = 18 x 56.99
The total contract rate for 18 months = $ 1,025.82
Now , total cost of the deal A = final cost of the router + total contract rate for 18 months
On simplifying the equation , we get
The total cost of the deal A = $ 1,025.82 + $ 33.9915
The total cost of the deal A = $ 1059.8115
The total cost of the deal A = $ 1059.81
Hence , the total cost of the deal is $ 1059.81
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What is the monthly interest rate if the annual interest rate is 24%?
Answer: 2%
Step-by-step explanation:
annual interest rate is based off a year
monthly is based off month
there are 12 months in a year, so to find the monthly interest you just divide the annual interest by 12.
Please help with this problem
The answer as a fraction in lowest terms is 4/81, and the denominator is 81.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
There are 4 green card, 2 red cards, 3 blue cards
Now,
If the first card drawn is red and is replaced before the second draw, then the probability of drawing a red card on the second draw is the same as the probability of drawing a red card on the first draw, which is 2/9 (since there are 2 red cards out of a total of 9 cards).
To find the probability of drawing two red cards, we need to multiply the probability of drawing a red card on the first draw (which we know is 2/9) by the probability of drawing a red card on the second draw, which is also 2/9 (since the first card is replaced).
So the probability of drawing two red cards with replacement is:
(2/9) * (2/9) = 4/81
Therefore, the probability and denominator will be 4/81 and 81.
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Answer:
The answer is 1/25
Step-by-step explanation:
if x=7 is an x-intercept of f(x)=x^3 - 7x^2 +9x-63 write f(x) in factored form
The factored form of the polynomial f(x) = x³ - 7x² + 9x - 63 is,
(x - 7)(x² + 9).
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, A polynomial f(x) = x³ - 7x² + 9x - 63.
Now, If x = 7 is an x-intercept then one root(cuts the x-axis) is 7 and one factor is (x - 7).
Now, Factoring(long division) f(x) = x³ - 7x² + 9x - 63 by (x - 7) we have,
(x³ - 7x² + 9x - 63) = (x - 7)(x² + 9).
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Simplify the expression -42(3 − 7).
Answer: 168
Step-by-step explanation:
50 POINTS. if needed rotate in top right corner
Answer: 38
Hope this helps!
the bobcats scored 133 points on touchdowns they scored the rest of their point by kicking field goals worth 3 points each How many field goals did the bobcats kick
Answer: To solve the problem, we need to subtract the number of points scored on touchdowns from the total number of points to find out how many points were scored on field goals.
133 points - (number of touchdowns x 7 points per touchdown) = points scored on field goals
We don't know the number of touchdowns, but we can use the fact that each touchdown is worth 7 points to write:
133 points - 7x = points scored on field goals
Now we can divide the points scored on field goals by the value of each field goal to find the number of field goals:
(points scored on field goals) / (3 points per field goal) = number of field goals
Putting it all together:
133 points - 7x = points scored on field goals
(points scored on field goals) / (3 points per field goal) = number of field goals
We need to solve for x, the number of touchdowns. We can start by isolating points scored on field goals:
133 points - 7x = points scored on field goals
points scored on field goals = 133 points - 7x
Now we can substitute this expression into the second equation:
(133 points - 7x) / (3 points per field goal) = number of field goals
Simplifying:
44.33 - 2.33x = number of field goals
Since the number of field goals must be a whole number, we can try different values of x until we find an integer solution. For example, if we assume that the Bobcats scored 16 touchdowns, then:
133 points - 7(16) = 21 points scored on field goals
21 points scored on field goals / 3 points per field goal = 7 field goals
Therefore, the Bobcats kicked 7 field goals.
Step-by-step explanation:
somebody Please help me please
What statement is missing in step 4
The correct option c ) m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.
Explain about the traversal of parallel line?When a transversal divides two parallel lines, the resulting alternate interior angles are congruent.
The pairs of angles from outside two lines and on either side of a transversal that cuts two lines are referred to as the alternate external angles.Lines that never intersect and always remain the exact same distance apart are said to be parallel. A line that crosses 2 or more additional lines is referred to as a transversal.Alternative External Angles are congruent if a transversal cuts two parallel lines. When a transversal cuts two parallel lines, the resulting angles are congruent.Thus, m∠5 + m∠2 = m∠3 + m∠2, is the missing statement in step 4.
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Select the solution to the subtraction problem expressed by the number line below.
Does it really matter if a person keeps failing math tests or is known to not be good in maths? how does that affect him/her?
Answer: It doesn't really matter
Step-by-step explanation: This is more of an opinion question, but failing math tests doesn't mean you aren't good at math, some people have different reasons why they don't try at math. Math tests don't define how good or bad you really are in math. You can fail a math test and be good at math, but not passing math tests might also create a lot of issues in the careers you're trying to persuade in because math is one of the most useful subjects. If colleges see your math scores and how badly you performed in them, they won't pick you, which is why is always nice to try no matter how easy or hard it is.
What is the sum of the solutions for the
equation 4x^2- 8x - 12 = 0?
A) -4
B) -2
C) 2
D) 4
The sum of the solutions for the equation 4x²- 8x - 12 = 0 will be 2. The correct option is C.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
To find the sum of the solutions of the equation 4x^2-8x-12=0, we first need to find the solutions of the equation. We can start by factoring in the left-hand side of the equation:
4x²-8x-12=0
4(x²-2x-3)=0
4(x-3)(x+1)=0
So the solutions of the equation are x=3 and x=-1. The sum of these solutions is:
3 + (-1) = 2
Therefore, the answer is C) 2.
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413 + (43x - 21) = 1080
Please help me brainly!
Answer:
The answer is multiplying the whole number by the numerator and add the denominatorStep-by-step explanation:
[tex]7 \ + \frac{2}{3 } + 2 \ + \frac{2}{3} [/tex][tex]7 \times 3 + 2 = 23 [/tex]
[tex]2 \times 3 + 2 = 8[/tex]
[tex] \frac{23}{8}[/tex]
so if want to have improper fraction this is the answer but to get proper fraction i am continuing
[8 \div 23 \sqrt[23]{80} to get the correct answer.you can get a mixed fraction too when you multiply 8 how many times you will get 23 8×2=16=2whole number 16 as the numerator and 8 as the denominator
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each of the following is a real zero of the polynomial p(x)=(2x−7)(x2−49)p(x)=(2x−7)(x2−49).
The answer for the given polynomial function are given below:
Real zero of the polynomial : x= -7
x= 7/2
x= 7
Not a real zero of the polynomial : x= -49
x= -7/2
x= 49
What is polynomial function?It is a function of a single independent variable involving only non - negative integer powers. For example 5x+7.
What is zero of polynomial?
Zero of polynomial are the points for which the polynomial becomes zero as a whole.
Given polynomial function is P(x)= (2x-7)(x²- 49)
For the zeros of the polynomial we need to take P(x)=0
(2x-7)(x² -49)=0
Either (2x-7)=0 or (x² -49)=0
If, 2x-7=0
2x=7
x=7/2
If, x² -49=0
x² =49
x=±√49
x=± 7
Hence, x= -7, 7/2, 7
so the real zeros of the polynomial are -7, 7/2, 7.
rest of the numbers are not the real zeros of the polynomial.
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(a+b)² + 4 (a+b) + 4
pls tell me how to do this
The factors of given expression are (a+b+2) and (a+b+2).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given expression is (a+b)²+4(a+b)+4.
Here, take x=a+b
Now, x²+4x+4
= x²+2×2×x+4 (Algebraic identity (a+b)²=a²+2ab+b²)
= (x+2)²
= (a+b+2)²
= (a+b+2)(a+b+2)
Therefore, the factors are (a+b+2) and (a+b+2).
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At the grocery store 5 apples cost 4.25. how much will one apple cost?
Answer:$0.85
Step-by-step explanation: 4.25/5=0.85
Terri and her father caught 7 fish on a recent fishing trip. The weights of the fish are listed below, in pounds. 5.6, 11.0, 4.0, 12.2, 7.0, 10.0, 4.2 Which statement is supported by the data?
The heaviest fish caught weighed more than 12 pounds.
What is mean in statistics?
In statistics, the mean is a measure of central tendency, which represents the average value of a set of numbers. It is calculated by adding up all the values in the data set and dividing the sum by the number of values. The mean is also called the arithmetic mean or the average. It is commonly used to describe the typical value of a group of numbers.
To determine which statement is supported by the data, we need to analyze the weights of the fish that Terri and her father caught. Here are some possible statements that could be supported by the data:
A. The average weight of the fish caught was less than 7 pounds.
B. The heaviest fish caught weighed more than 12 pounds.
C. The total weight of the fish caught was more than 60 pounds.
D. The range of weights of the fish caught was between 4 and 12 pounds.
To determine which statement is supported, we can calculate some basic statistics:
Mean (average) weight: (5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2) / 7 = 7.8 pounds
Maximum weight: 12.2 pounds
Minimum weight: 4.0 pounds
Range of weights: 12.2 - 4.0 = 8.2 pounds
Total weight: 5.6 + 11.0 + 4.0 + 12.2 + 7.0 + 10.0 + 4.2 = 54 pounds
Based on this analysis, we can see that statement C ("The total weight of the fish caught was more than 60 pounds") is not supported by the data, as the total weight was only 54 pounds.
Statement A ("The average weight of the fish caught was less than 7 pounds") is also not supported, as the average weight was 7.8 pounds.
Statement B ("The heaviest fish caught weighed more than 12 pounds") is supported, as the heaviest fish weighed 12.2 pounds.
Finally, statement D ("The range of weights of the fish caught was between 4 and 12 pounds") is also supported, as the weights ranged from 4.0 to 12.2 pounds.
Therefore, the correct answer is either B or D, depending on the context of the question.
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Translation: 3 left and 3 up
Answer: (3,-1) = (0,2) (5,-2) = (2,1) (3,-5) = (0,-2) (-5,-5) = (-2,-2)
Step-by-step explanation:
In 2,894.0, which digit is in the hundreds place?
Answer:
Step-by-step explanation:
The 8 is in the hundreds place.
Answer:
The 8 is in the hundreds place.
Step-by-step explanation:
2,000 (Thousands Place)
800 (Hundreds Place)
90 (Tens Place)
4 (Ones Place)
0.0 (Tenths Place)
2,894.0
Triangle with angles A= 30 degrees mB =60 degrees Mac = 90 degrees which is true
We have a right triangle with sharp angles measuring 30 and 60 degrees, proving the assertion "Triangle with angles A= 30 degrees, B= 60 degrees, C= 90 degrees" to be true.
How are triangles determined by angles?To assess whether the supplied angles may form a triangle, we can use the knowledge that the total of the angles in a triangle is always 180 degrees. Let's figure up the angles' total:
180 degrees is equal to A + B + C = 30 + 60 + 90.
The supplied angles can definitely form a triangle because the sum of the angles is 180 degrees. We can now utilise the data to identify the kind of triangle.
The angles indicate that a right triangle with a 90-degree angle (angle C) and acute angles of 30 degrees and 60 degrees (angles A and B) exists (angle B).
The measurements of angles A and B are compatible with the available information since the total of the acute angles in a right triangle is always 90 degrees.
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Hi can someone please help me with this!!! I'm struggling with this!
I really appreciate it!!!
Find the value of a, m, x
Answer:
Refer to pic..........
Graph the image of the given triangle, reflected across the y = x line.
Select the Polygon tool. Then, click the points of the triangle vertices to create the triangle by connecting the sides. To close the triangle, select the first point again.
The image reflected by the line of the triangle is attached below.
What is an image?
A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.
The coordinates of the vertices of the triangle are (1, -2), (8,1), (4,-9).
The rule of reflection across the y = x line is (x,y) → (y,x).
The reflection of (1, -2) across the y = x line is (-2,1).
The reflection of (8,1) across the y = x line is (1,8).
The reflection of (4,-9) across the y = x line is (-9,4).
The coordinates of the vertices of the reflected triangle are (-2,1), (1,8), and (-9,4).
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help!! Find the missing length and found it to the nearest tenth.
The missing length the right triangle to the nearest tenth is 8.8 units.
What is the missing length?The figure in the image is a right traingle.
Measure of first leg = 2Hypotenuse = 9Measure of second leg = ?To solve for the second leg of the right triangle given the first leg and hypotenuse, we can use the Pythagorean theorem.
It states that the sum of the squares of the two legs is equal to the square of the hypotenuse.
a² + b² = c²
Let's denote the second leg by 'b'. Then we have:
2² + b² = 9³
Simplifying the equation:
4 + b² = 81
Subtracting 4 from both sides:
4 - 4 + b² = 81 - 4
b² = 77
Taking the square root of both sides:
b = √77
b = 8.8 units
Therefore, the second leg of the right triangle is 8.8 unit.
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Solve the inequality
Answer: x> -28/13
Step-by-step explanation:
1.
Simplify the expression
2. Combine multiplied terms into a single fraction
3. Distribute
4. Rearrange terms
5. Combine multiplied terms into a single fraction
6. Multiply by 1
7. Multiply all terms by the same value to eliminate fraction denominators
8. Cancel multiplied terms that are in the denominator
9. Distribute
10. Distribute
negative five-sevenths ( 21 x plus 35 ) < 1/3 ( 9-6 x )
negative 315 x minus 525 is less than negative 42 x plus 63
2
Add
525
to both sides
3
Simplify the expression
4
Add
42 x
to both sides
5
Simplify the expression x> -28/13
Find the value of x
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
Whats the easiest way to solve "two unit multipliers"?
The easiest way to solve problems involving "two unit multipliers" is to use a technique called unit conversion or dimensional analysis.
To solve such problems, you need to convert the given value from one unit to another by multiplying it by a series of conversion factors or unit multipliers. A conversion factor is a fraction that has the same value as one, but its numerator and denominator are expressed in different units.
For example, to convert 10 meters to feet, you can use the conversion factor:
1 meter = 3.28 feet
To convert 10 meters to feet, you would multiply 10 by the conversion factor:
10 meters * (3.28 feet/1 meter) = 32.8 feet
The meters unit cancels out, leaving you with the desired unit of feet.
In some cases, you may need to use multiple conversion factors to get from one unit to another. In these cases, you can multiply or divide the conversion factors to cancel out the unwanted units until you get to the desired unit.
Using unit conversion or dimensional analysis is an effective way to solve problems involving two unit multipliers because it ensures that the units cancel out correctly, and you end up with the desired unit in your final answer.
Find the present value of 50000 for 30 years at 6%
Answer:
i believe its 24500
Step-by-step explanation:
If the model is 18 inches long and the actual locomotive is 72 feet long, what is the similarity transformation to map from the model to the actual locomotive? Express the answer using the notation x* ax, where x is a measurement on the model and ax is the corresponding measurement on the actual locomotive.
Answer:
(1/48)ax
Step-by-step explanation:
We can use the proportion of the lengths of the model and the actual locomotive to determine the scale factor for this similarity transformation.
The model is 18 inches long, which is equivalent to 1.5 feet (since 1 foot = 12 inches). The actual locomotive is 72 feet long. So, the scale factor can be calculated as:
scale factor = actual length / model length
scale factor = 72 feet / 1.5 feet
scale factor = 48
This means that each measurement on the model is 1/48th the size of the corresponding measurement on the actual locomotive. We can express this similarity transformation using the notation x* ax as: x* (1/48)ax
So, if a measurement on the model is x, the corresponding measurement on the actual locomotive would be (1/48)ax.
FIND THE ERROR Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion 58=15x,
but Traci says to find the value of x, the proportion 5x=815
should be solved. Is either of them correct? Explain your reasoning.
The solution is, Chun is correct.
What is triangle proportionally?The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.
here, we have,
Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:
top short : bottom short = top long : bottom long
5 / 8 = 15 / x
Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...
top short : bottom long = bottom short : top long
She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.
Chun's proportion correctly gives x=24.
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this grid shows the location of four animals where is chewy located (picture)
A, (5,1)
B, (6,3)
C,(1,5)
D,(3,6)
Answer:
A) (5 , 1)
Step-by-step explanation:
The x coordinate goes first, then the y coordinate: (x , y)
In this case, locate Chewy. Chewy is found in the x-coordinate of 5, and a y-coordinate of 1. Therefore, (5 , 1) or A) is your answer.
~
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Mario walked at a rate of 2/3 mile every 10
minutes.
Using displacement, His unit rate every mile per hour will be 4 miles/hours.
What is displacement?When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.
Mario walked at a rate of 2/3 mile every 10 minutes.
We have,
Distance = 2/3 miles
Time = 10 minutes
On substituting these values in the above formula, we get
speed = 2/10.3
We have to find the unit rate in mile per hour, so we need to multiply it by 60, 1/15 × 60 = 4 miles/hours
Hence, his unit rate every mile per hour will be 4 miles/hours.
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