The difference in the payments of Oscar and Felix is given as follows:
$56.
What are the payments for each?The payment for each of Oscar and Felix is obtained applying proportions, with the multiplication of the finance charge by each of the rates.
As stated in the problem, the balance is of:
800.
Felix rate is of:
14%.
Hence the finance charge for Felix is of:
0.14 x 800 = 112.
Oscar rate is of:
21%.
Hence the finance charge of Oscar is of:
0.21 x 800 = 168.
Then the difference in the payments will be of:
168 - 112 = $56.
Missing InformationFelix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.
The rates are given as follows:
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Piecewise function of the graph
A piecewise function of the graph is a function y=f(x) which has different definitions in different intervals of x. A piecewise function's graph is divided into sections that each correspond to one of its definitions.
What is a piecewise function?
A function with many parts of curves in its graph is said to be piecewise. It implies that based on the value of the input, it has many definitions. In other words, a piecewise function responds differently to various inputs.
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Brad graphs the function y = |x-2|Cindy graphs the function y=-|x-2| How does Cindy's graph compare to Brad's graph?
O Cindy's graph is a reflection of Brad's graph across the x-axis.
O Cindy's graph is a reflection of Brad's graph across the y-axis.
O Cindy's graph is one unit to the right of Brad's graph.
O Cindy's graph is one unit to the left of Brad's graph.
Cindy's graph is a reflection of Brad's graph across the x - axis.
What is transformations of graph?
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Given:
Brad graphs the function y = |x-2|
Cindy graphs the function y=-|x-2|
If f(x) = |x - 2| and f(x) = - |x - 2|
Since, if the transformation of the graph is f(x) changes to -f(x) then there is reflection over x - axis.
Here y changes to -y.
Therefore, Cindy's graph is a reflection of Brad's graph across the x-axis.
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Use the diagram to find lengths. BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose AC = 48 cm and QD = 51 cm. What is the length of QC?
pq
QC is
cm in length.
The length of segment QC, using the Pythagorean Theorem, is of:
QC = 45 cm.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the length of the hypotenuse is obtained according to the equation presented as follows
[tex]h^2 = l_1^2 + l_2^2[/tex]
The length of QC is obtained considering that QC is a leg of a right triangle in which:
BC is the other leg.QB is the hypotenuse.The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints, thus the length of segment QB is given as follows:
QB = QD = 51 cm.
B is the midpoint of AC, hence the length of segment BC is given as follows:
BC = 0.5 x AC = 0.5 x 48 = 24 cm.
Hence the length of QC is obtained as follows:
QC² + 24² = 51²
QC = sqrt(51² - 24²)
QC = 45 cm.
Missing InformationThe diagram is given by the image shown at the end of the answer.
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Carmen tutors history. For each hour that she tutors , she earns 30 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use the equation to find Carmen’s earnings after tutoring for 13 hours.
Equation: ______
Carmen’s earnings for 13 hour’s: ____ dollars
An equation is formed from two equal expressions. Carmen earns $390 for her 13 hours of tutoring.
Equation: An equation is created by equating two equations with an equal sign '='.
Let's say Carmen is earning $30 per hour of her tutoring her.
Therefore, the formula for Carmen's income after H hours of tutoring can be written as:
Income = hourly wage for individual instruction x number of hours
I = 30 × H
I = 30H
After 13 hours of tutoring, Carmen's income will be:
I = 30 (13)
I = 390
So, after 13 hours of tutoring, Carmen's income will be $390.
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what is (h - 3)² for h = 5
Answer:32
Step-by-step explanation:
You plug in 5 for H and then you solve
Answer:
the answer to yo question is 4
Step-by-step explanation:
10 Can this be simplified? If "yes", then
simplify it. If "no", then explain why.
a²/b^8
Answer:
No
Step-by-step explanation:
You can't simplify this equation any further because the bases (a, b) aren't the same.
For example:
You can simplify a^2/a^8 to be 1/a^6
Steps:
a^8=(a^2*a^6)
a^2/a^2*a^6
a^2 ÷ a^2=1
1/a^6
(You can only break the exponent up and divide the quotient if the base is the same!)
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy? Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem. Monica can buy | cups of yogurt.
The greatest number of cups of yogurt that Monica can buy is 14 cups
The amount that she has = $20
The cost of one gallon of milk = $2.50
The cost of one cup of yogurt = $1.20
Consider the number of cups of yogurt = x
Then the inequality will be
1.20x + 2 .50 ≤ 20
Solve the inequality and find the value of x
Subtract 2.50 from both side of the inequality
1.20 + 2.50 - 2.50 ≤ 20 - 2.50
1.20x ≤ 17.5
Divide both side of the equation by 1.20
1.20x / 1.20 ≤ 17.5 / 1.20
x ≤ 17.5 / 1.20
x ≤ 14.58
Hence, the greatest number of cups of yogurt that Monica can buy is 14 cups
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In a 30 60 90 triangle where the long side is equal to 4, what are the values of the hypotenuse and short side ?
For given 30 60 90 triangle, the values of the hypotenuse = 4 units and short side = 2 units
We know that, a 30 60 90 triangle is right triangle.
In right triangle the longest side is hypotenuse.
Here, hypotenuse = 4 units
The short side of triangle is the opposite to the side of smallest angle.
So, we need to find the length of the side opposite to angle 30.
Consider sin(30) = short side/hypotenuse
1/2 = short side/4
short side = 4/2
short side = 2 units
Therefore, for given 30 60 90 triangle, the values of the hypotenuse = 4 units and short side = 2 units
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what is 3/4 plus 6/10?
Answer:
Step-by-step explanation:
3/4 + 6/10
= 15/20 + 12/20
= 27/20
In 2015, ed spent $800 buying lunches. In 2017, he spent $300 buying lunches. What was the rate of change from 2015 to 2017?.
The rate of change from 2015 to 2017 is -$250
The amount he spend for lunch in 2015 = $800
The amount he spend for lunch in 2017 = $300
Therefore the total change = The amount he spend for lunch in 2017 - The amount he spend for lunch in 2015
Substitute the values in the equation
= 300 - 800
= -500
The total years from 2015 to 2017 = 2 years
The rate of change from 2015 to 2017 = The total change / The total years from 2015 to 2017
= -500 / 2
= -$250
Hence, the rate of change from 2015 to 2017 is -$250
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Gabriel is designing a logo in the shape of a trapezoid. The marked sides are equal. The perimeter is 50 inches, the top is 9 1/2 inches, the bottom is 22 3/4 inches. How long is one of the sides with a tick mark?
For trapezoid, the marked sides are 8 7/8 inches long
In this question, we have been given Gabriel is designing a logo in the shape of a trapezoid. The marked sides are equal. The perimeter is 50 inches, the top is 9 1/2 inches, the bottom is 22 3/4 inches.
We need to find the sides with a tick marks.
Assuming non-parallel sides of trapezoid are marked.
Let a = top of trapezoid and b is the bottom of trapezoid
a = 9 1/2
b = 22 3/4
And c, d are non parallel sides of trapezoid
Using the formula for the perimeter of the trapezoid,
P = a + b + c + d
50 = 19/2 + 91/4 + 2c .......(c = d)
50 = 129/4 + 2c
2c = 50 - 129/4
2c = 71/4
c = 71/8
c = 8 7/8
Therefore, for trapezoid, the marked sides are 8 7/8 inches long
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can anybody tell me how to solve the value of 6a+9a?
Answer:
15a
Step-by-step explanation:
6a+9a
We just add the coefficients together since they share the same variable
6+9=15
15a
Hopes this helps please mark brainliest
14 Which equation describes the nth term of the arithmetic sequence
7, 10, 13, 16, ...?
A a=3n + 4
B a₁ = 7+3n
C a = - 4n+ 3
D a₁ = 3n - 4
Answer:
I think it's B
Step-by-step explanation:
Because the pattern starts at 7 then plus 3 etc...
The boys and girls soccer clubs are trying to raise money for new uniforms.
Answer: the answer you chose was correct x+y <1000
x=<75
Step-by-step explanation:
first they are selling 3 dollar and 4 doallar items to get above 1000 dollars
then they sayed at least 75 bags of hot chips so it has to be 75 or higher
Find the equation of the straight line passing through each of the following pairs of points.
( 11 , 13) and (14, 19)
=========================================================
Explanation:
Let's find the slope of the line through the given points.
[tex](x_1,y_1) = (11,13) \text{ and } (x_2,y_2) = (14,19)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{19 - 13}{14 - 11}\\\\m = \frac{6}{3}\\\\m = 2\\\\[/tex]
The slope is 2.
Now apply point-slope form and solve for y as shown in the steps below.
[tex]y - y_1 = m(x - x_1)\\\\y - 13 = 2(x - 11)\\\\y - 13 = 2x + 2*(-11)\\\\y - 13 = 2x - 22\\\\y = 2x - 22 + 13\\\\y = 2x - 9\\\\[/tex]
The answer is y = 2x - 9
It's of the form y = mx+b
m = 2 = slopeb = -9 = y intercept----------------------------------------
Check:
Let's plug in x = 11.
We should get y = 13 as a result because of the point (11,13)
So,
y = 2x-9
y = 2*11-9
y = 22 - 9
y = 13
This confirms y = 2x-9 goes through (11,13)
Follow similar steps to show that x = 14 leads to y = 19.
I'll let you do this part.
Lora's phone records data for screen time each week. last week, she used 920 minutes. this week, lora used 690 screen time minutes on the phone. calculate the percent decrease in screen time this week. 25% 33% 40% 75%
The percentage decrease in Lora's screen time on phone is 25% this week.
Percentage related problems work around a certain reference value. This reference value is what the output percentage refers to when showing any growth or decay in the other value.
For this problem, last week's screen time is that reference value i.e. 920 minutes per week.
Now, current week's usage is 690 minutes per week. For calculating percentage decrease, we first find our the difference (in minutes).
[tex]Decrease=S_{1}- S_{2}=920-690=230[/tex]
Now, for its percentage we compare this value to our reference value i.e. last week's screen time. This will tell us about the decrease in screen time with reference to last week. This is what percentage does i.e. compares two sets of data.
[tex]Decrease=\frac{difference}{S_{1}}*100= \frac{230}{920}*100[/tex]
[tex]Decrease=25[/tex]%
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Answer:25
Step-by-step explanation:
Help please. It's means with expression and it's due by the end of this class and I legit forgot how to do it because I havent done this since 4th grade.
Answer:
the two middle students are 63
the length in inches of a cricket chosen at random from a field is a random variable x with mean 1.2 inches and standard deviation 0.25 inches. find the mean and standard deviation of the length y of a randomly chosen cricket from the field in centimeters. there are 2.54 centimeters in an inch.
The mean and standard deviation of the length y of a randomly chosen cricket from the field is 3.048 and 0.635 respectively.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
Given that, the length in inches of a cricket chosen at random from a field is a random variable x with mean 1.2 inches and standard deviation 0.25 inches.
μx = 1.2
σx = 0.25
2.54 cm = 1 in (given)
Y = 2.54x
Formula for mean and standard deviation =
μax+b = aμx + b
σax+b = aσx
Then Y = 2.54x we get,
μy = μ2.54x = 2.54μx = 2.54(1.2) = 3.048
σy = σ2.54x = 2.54σx = 2.54(0.25) = 0.635
Hence, The mean and standard deviation of the length y of a randomly chosen cricket from the field is 3.048 and 0.635 respectively.
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One piece of statistical evidence used against ms. Gilbert was a low p-value for the pattern of death observed on her shifts. What does this p-value mean and what is the relevance of the p-value to the trial?.
The level of marginal significance inside a statistical hypothesis test, or P-value, represents the likelihood that a particular event will occur.
P-value;
The likelihood of getting a result that is equivalent to or more extreme than what was actually seen, under the null hypothesis, is what is meant by the term "P value." The probability (P) indicator indicates the likelihood that any observed variation between groups is the result of chance.
Here,
The statistical test's extremely low p-value indicates that the null hypothesis must be accepted, and the conclusion that Gilbert is guilty is based on the fact that Gilbert's existence is dependent on the shift deaths.
Relevance of p-value to the trial;
The p-value evaluates the agreement between the trial's actual outcomes and the "pure chance" explanation for them. When the only differences between groups A and C are the result of chance, a p-value of 0.002 favoring group A very extremely seldom occurs.
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What is the equation of the line shown in this graph?
(-2,2)
(-2,-3)
The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2
The standard equation of a line graph is expressed as [tex]y=mx+c[/tex]
m is the slope of the line
c is the y-intercept
Given: coordinate points (-2, 2) and (-2, -3)
The coordinates are in the form of (x₁,y₁) and (x₂,y₂)
Slope of the equation is [tex](\frac{y2-y1}{x2-x1})[/tex]
So ,slope=[tex](\frac{-3-2}{-2+2})[/tex]
=[tex](\frac{-5}{0})[/tex]
=∝
Since the slope of infinity, this shows that the line is a vertical line. The standard equation of a vertical line is x = a
Since the x-coordinates are similar, hence a = -2
The equation of the line shown in this graph passing through the points (-2, 2) and (-2, -3) is x = -2
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Given g(x)=-2x+5, find g(-4)
Answer:
13
Step-by-step explanation:
Given g(x)=-2x+5, find g(-4)
so you are substituting in -4 for x:
g(-4) = -2(-4) + 5
g(-4) = 8 + 5
g(-4) = 13
A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y = 2. 5x + 3 represents the cost y of bowling x games. Interpret the parameters of the function.
The cost for renting shoes is represented by the number 3.
The cost per game is represented by the number 2.5.
The given equation is a linear one. One variable with a power of one makes up a linear equation.
y= 2.5x + 3
2.5 in the above calculation stands for the extra cost for each game played. Each game played sees an increase in this number.
When:
The additional cost is 2.5 x 1 = 2.50 for 1 game played.
If 10 games are played, the extra cost is 2.5 times 10 games, or $25.
The base rate to rent the shoes is $3. It is an ongoing expense that stays the same regardless of how many games are played.
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b. Jada squared a number and got-4. Elena squared a different number and got-4. What were the numbers that Jada and
Elena squared?
Type the answers in the boxes below.
Answer: The answer is -2
Find the domain and the range of each function, h(x)=-2|x|
By using the properties of domain and range, it can be inferred that
Domain of the function h(x) = -2|x| is the set of all real numbers
Range of the given function h(x) = -2|x| is the set of all negative real numbers
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Here,
h(x) = -2|x|
h(x) is defined for all x ∈ R
Domain of the given function is the set of all real numbers
For range
we know,
[tex]|x| > 0\\-2|x| < 0\\h(x) < 0[/tex]for all x ∈ R
Range of the given function is the set of all negative real numbers
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2x² + 3x - 14
Please helppp!
Pls, HELP ASAP!!!!!!!!!!!!!!!!!
The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (5, −1), and Monique's desk is located at (−2, 4). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 10 feet
square root of 72 feet
square root of 74 feet
square root of 100 feet
Answer: it’s the square root of 10
Step-by-step explanation: I took this test
Answer:[tex]\sqrt{74}[/tex]
Step-by-step explanation:
Times for the three parts of a journey are 20 minutes 40 minutes 1 hour and 30 minutes work out the total time for the journey give your answer in hours
Total time for whole journey can be calculated by adding the three parts of the journey which would give answer as 2.5 hours.
What is a fraction?
The components of an entire or group of items are represented by fractions. A fraction consists of two components. The numerator is that the figure at the top of the line. It details the amount of equal portions that were taken from the total or collection. The denominator is that the figure that appears below the line.
Main Body:
total time = 20 minutes + 40 minutes + 1 hour 30 minutes
= 2.5 hours or 5/2 hours.
Hence total time for journey is 2.5 hours.
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Casey has no less than 52 model toy cars in his collection.
Which graph represents the number of cars in the collection?
number line with open circle on point 52, shaded left
number line with closed circle on point 52, shaded left
number line with closed circle on point 52, shaded right
number line with open circle on point 52, shaded right please give right answer
Answer: The answer is b
Step-by-step explanation: Please give me thanks and 5 star
Have Great Day :)
73. in order to estimate the proportion, p, of defective transistors in a lot containing 100,000 transistors, a sample of size 800 is drawn yielding 5 defective transistors. a. use the sample to give a point estimate for p. b. how large a sample would be required to estimate p within 0.1% at the 95% level of confidence?
For option, A point estimate p is = 5/800 = 0.00625
For option B 23860 large sample must be required to estimate p within 0.1% at 95% level of confidence.
Margin of Error = 0.1% = 0.001
The critical Z value for a 95% confidence level is 1.96
Required sample size, n = (z / E)² * p(1-p)
= (1.96 / 0.001)² * 0.00625 * (1 - 0.00625)
= 23860 (Rounding to the nearest integer)
Point estimate of difference in means = 89.5 - 55.9 = 33.6
The standard error (SE) of the sampling distribution of the difference in means is
SE = √{ (s_1²/n1) + (s_2²/n2) }
= { √(16.8²/78) + (8.2²/117) }
= 2.047721
Degree of freedom = min(n1 - 1, n2 -1) = min(78-1, 117-1) = 77
The critical value of t at df = 77 and the 99% confidence interval is 2.64
99% confidence interval of the difference in means is,
(33.6 - 2.64 * 2.047721 , 33.6 + 2.64 * 2.047721)
(28.19, 39.01)
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How many steel rods are in a staircase frame with 12 steps?
