A group of people were asked how much time they spent exercising yesterday. Their responses are shown in the table below. What fraction of these people spent less than 20 minutes exercising yesterday? Give your answer in its simplest form. Time, t (minutes) 0≤t
Answers
The fraction of people who spent less than 20 minutes exercising yesterday is 3/10.
To find the fraction of people who spent less than 20 minutes exercising yesterday, we need to analyze the data provided in the table. Let's look at the table and count the number of people who spent less than 20 minutes exercising.
Time, t (minutes) | Number of People
0 ≤ t < 10 | 2
10 ≤ t < 20 | 1
20 ≤ t < 30 | 4
30 ≤ t < 40 | 3
From the table, we can see that there are a total of 2 + 1 + 4 + 3 = 10 people who responded. We are interested in finding the fraction of people who spent less than 20 minutes exercising, which includes those who spent 0 to 10 minutes and 10 to 20 minutes.
The number of people who spent less than 20 minutes is 2 + 1 = 3. Therefore, the fraction can be calculated by dividing the number of people who spent less than 20 minutes by the total number of people.
Fraction = (Number of people who spent less than 20 minutes) / (Total number of people)
= 3 / 10
The fraction 3/10 cannot be simplified further, so the final answer is 3/10.
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Related Questions
green eggs and ham find the area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π].
Answers
The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.
The parametric equations given are:
x = t sin t
y = cos t
To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:
A = ∫[a,b] y dx
where a and b are the limits of the parameter t that describe the domain of the curve.
In this case, we have:
a = 0
b = 2π
So, we need to compute:
A = ∫[0,2π] cos(t) (t sin(t)) dt
Using integration by parts with u = t and dv = sin(t) dt, we get:
A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt
The first integral evaluates to:
[t cos(t)]|[0,2π] = 2π
The second integral evaluates to:
∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0
The third integral evaluates to:
∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2
Therefore, the area of the domain enclosed by the curve is:
A = 2π - 0 + 2 = 2π + 2
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1) Mrs. Kimsey purchased a bushel of large apples thatweighs about 48 pounds. The bushel contains 96 apples.What is the approximate weight, in ounces, of one apple?
Answers
37mtaq4tuj, this is the solution to the problem:
Step 1: Weight of the bushel of apples = 48 pounds
Number of apples per bushel = 96 pounds
Step 2: Let's find the individual weight of each apple, as follows:
Individual weight = 48/96
Individual weight 0.5 pounds
Step 3: Let's convert 0.5 pounds to ounces, this way:
Let's recall that:
16 ounces = 1 pound
In consequence,
0.5 pounds = 16/2 ounces
0.5 pounds = 8 ounces
One apple weighs 8 ounces.
PLEASE HELP!!!! NEED ANSWER ASAP
Answers
Answer:
X=25
Step-by-step explanation:
Since these 2 angles are vertically opposite angles so they are equal. (rule)
75°=(4x-25°)
75° + 25° = 4x
100=4x
X=100/4 = 25
___________
Hope this helps...
true or false? z-score helps to determine how far a particular value is from the mean relative to the data setâs standard deviation.
Answers
Answer:
True
Step-by-step explanation:
True. A z-score, also known as a standard score, is a statistical measure that helps to determine how far a particular value is from the mean relative to the data set's standard deviation.
A z-score is a dimensionless quantity that expresses the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean. A positive z-score indicates that the value is above the mean, while a negative z-score indicates that the value is below the mean.
To calculate the z-score for a given value, the formula is: z = (x - μ) / σ where z is the z-score, x is the value being considered, μ is the mean of the data set, and σ is the standard deviation of the data set.
For example, if the mean of a data set is 50 and the standard deviation is 10, and we are interested in finding the z-score for a value of 65, the calculation would be: z = (65 - 50) / 10 = 1.5. This indicates that the value of 65 is 1.5 standard deviations above the mean of the data set.
Z-scores are useful for comparing values across different data sets or for identifying extreme values in a data set. Values with high positive or negative z-scores are typically considered to be outliers, indicating that they are further from the mean than most other values in the data set.
In summary, the statement "z-score helps to determine how far a particular value is from the mean relative to the data set's standard deviation" is true. Z-scores are a statistical measure that help to express the distance between a particular value and the mean of a distribution in terms of the number of standard deviations that the value is from the mean.
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For positive integer n, the factorial notation n! represents the product of the integers from n to
1. (For example, 6! = 6.5.4.3.2.1.) What value of N satisfies the following equation?
5! . 9! = 12. N!
9
(A) 10
(B) 11
(C) 12
(D) 13
(E 14
Answers
Answer:
A
Step-by-step explanation:
solve please 4x^2-24x
Answers
We solve as follows:
\(x=\frac{-(-24)\pm\sqrt[]{(-24)^2-4(4)(0)}}{2(4)}\)Then:
\(\begin{gathered} x=0 \\ x=6 \end{gathered}\)As we can see the function:
\(4x^2-24x\)Is of the form:
\(ax^2+bx+c\)Where a = 4, b = -24 & c = 0
Since it follows that form, we can solve it using the quadratic function:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)When we solve it gives us that x = 0 and x = 6 when we equal to 0.
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.
Student Enrollment at East Valley High School
1530
1500
(2013, 1492)
1470
1440
.
Students
1410
1380
1350
(2009, 1330)
1320
1290
1260
2008 2009 2010 2011 2012 2013
Year
Answers
Complete Question:
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot. Student Enrollment at East Valley High School (1st picture)
Which is the equation of the line of best-fit for this scatterplot? (2nd picture)
Answer:
D) y = (81/2)x - (160,069/2)
Step-by-step Explanation:
From the scatter plot in the graph attached below, we are given the ordered pairs of the coordinates (2009, 1330), (2013, 1492), we can derive the equation of the line of best-fit for the scatter plot using the slope-intercept formula.
Thus, the slope-intercept formula is y = mx + b, where m is the slope of the line; and b is the y-intercept.
We need to find m, and then b to input into the formula to get our equation of the line.
==> Finding m using the two sets of coordinate given on the graph [ (2009, 1330) and (2013, 1492) ]:
slope (m) = (y2 - y1)/(x2 - x1)
m = (1492 - 1330)/(2013 - 2009)
= 162/4
m = 81/2
Next is to find b, which is the y-intercept
Recall, y = mx + b
Using one of the coordinates given (2009, 1330), we can find b by inputting 1330 for y, 2009 for x, and 81/2 for m in the slope-intercept formula:
Thus, we would have ==>
1330 = (81/2 * 2009) + b
1330 = (162,729/2) + b
1330 - 162,729/2 = b
(2,660 - 162,729)/2 = b
- 160,069/2 = b
Having known the values of m, and b, let's input their values to get the equation of the line.
Thus, using the slope-intercept formula y = mx + b, the equation of the line of best-fit for the scatter plot would be
==> y = (81/2)x +(-160,069/2)
y = (81/2)x - (160,069/2)
Answer:
d
Step-by-step explanation:
A function has cheating x's.
True
False
Answers
Hope this helps
Have a wonderful day or night
A derivative is available with premium W(0)=1.34 when its underlying asset has value S(0)=36. This derivative will have expiry values W(1,↑)=0.64 and W(1,↓)=4.55, when the underlying asset has values S(1,↑)=57 and S(1,↓)=26, respectively. A writer sells 100 of these derivative and wants to set up a portfolio which will have zero cash flow, both at the time the derivative is sold and at the time the derivative expires. The portfolio will include 100 derivatives, borrowed or lent cash, and bought or short sold underlying assets. To ensure a zero cash flow, how many underlying assets should the writer have in the portfolio (with positive meaning bought assets and negative meaning short sold assets)? Give your answer to the nearest integer.
Answers
To ensure a zero cash flow in the portfolio, the writer needs to set up a portfolio that offsets the cash flow from selling the derivatives. The writer should have -3 underlying assets in the portfolio (meaning short sold assets)
The cash flow from selling 100 derivatives can be calculated as:
Cash Flow from selling derivatives = 100 * (Premium at time 0 - Expiry value)
Cash Flow from selling derivatives = 100 * (1.34 - 0.64) = 70
To offset this cash flow, the writer needs to include an equal and opposite cash flow from the underlying assets. Let's assume the writer buys ""x"" underlying assets.
Cash Flow from underlying assets = x * (Value at time 0 - Value at time 1)
Cash Flow from underlying assets = x * (36 - 57) = -21x
To make the cash flow from underlying assets equal to the cash flow from selling derivatives, we set up the equation:
-21x = 70
Solving this equation, we find:
x ≈ -3.33
Since the number of underlying assets must be an integer, we round -3.33 to the nearest integer, which is -3.
Therefore, the writer should have -3 underlying assets in the portfolio (meaning short sold assets).
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anova df ss ms f regression 1 12,323.60 12,323.60 90.0481 residual 8 1,154.802 136.8550 total 9 13,478.4 what is the correlation coefficient?
Answers
The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).
The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.
To calculate the correlation coefficient, we can use the formula:
r = sqrt(SSR/SST)
From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:
r = sqrt(12,323.64/13,538.4) = 0.9541
Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable
Complete Question:
Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541
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A vending machine containing jellybeans will only dispense one jellybean at a time. Inside the container is a mixture of 24 jellybeans: 12 red, 8 yellow, and 4 green. The yellow jellybeans have a rotten egg flavor. Write each answer as a decimal rounded to the nearest thousandth and as a percent rounded to the nearest whole percentage point. Part A: What is the probability of getting a red jellybean on the first draw? Decimal: P(1 st Red )= Percent: P(1 st Red )= Part B: Let's say you did get a red jellybean on the first draw. What is the probability that you will then get a green on the second draw? Decimal: P(2 nd Green | 1st Red )= Percent: P(2 nd Green | 1st Red )= Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different? Part D: What is the conditional probability of the dependent event "red then green?" Decimal: P(1st Red and 2 nd Green )= Percent: P(1 st Red and 2 nd Green )=
Answers
Part A:What is the probability of getting a red jellybean on the first draw?
Given information: Red jellybeans = 12 Yellow jellybeans = 8 Green jellybeans = 4 Total jellybeans = 24 The probability of getting a red jellybean on the first draw is:
Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5
Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%
Part B: Let's say you did get a red jellybean on the first draw.
What is the probability that you will then get a green on the second draw?
Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%
Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?
Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:
Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174
Thus, the answer would be the same as Part B.
Part D: What is the conditional probability of the dependent event "red then green?"
Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2
Probability of the second jellybean being green given that the first jellybean is red is 4/23
Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23 Decimal: P(1st Red and 2nd Green )=2/23 Percent: P(1st Red and 2nd Green )=8.70%
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the tile along the edge of a triangular community pool needs to be replaced. which expression represents the total perimeter of the pool edge?
Answers
The total perimeter of the pool edge can be found by adding up the lengths of all three sides of the triangular community pool. The expression representing the total perimeter of the pool edge is P = a + b + c.
Given that the tile along the edge of a triangular community pool needs to be replaced, and we are asked to find the expression representing the total perimeter of the pool edge.
A triangle has three sides and we have to find the perimeter of the pool edge.
Let's say the sides of the triangular pool are given by a, b and c.
We can find the perimeter P by adding the lengths of all three sides of the triangle.
So, the expression representing the total perimeter of the pool edge is:
P = a + b + c
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write the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1)
Answers
Answer:
y = - 5/2x + 24
Step-by-step explanation:
2x - 5y = - 12. (10, -1)
- 5y = - 2x - 12
y = -2/-5x -12/-5
y = 2/5x + 12/5
Slope: 2/5 (slope of the perpendicular line: - 5/2)
y - - 1) = - 5/2(x - 10)
y + 1 = - 5/2x + 25
y = - 5/2x + 24
pls help me fast fast
Answers
The slope of the graph of a linear function is -4. The slope of a line shows how steep it is.
The slope of a line, sometimes referred to as its gradient in mathematics, is a numerical representation of the steepness and direction of the line. An indication of a slope's steepness is its gradient. The slope gets steeper the higher the grade. The smaller the gradient, the shallower the slope. So, a surface that is not level and permits gravity to move an object in that direction is said to have a slope; on the earth's surface, this direction is known as down. Slope in mathematics has a comparable physical meaning. Zero slope is the same as flat, or no marble movement.
The table shows value.
x -2 1 2 4
y 13 1 -3 -11
Slope=-3-1/2-1=-4/1=-4
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the equation of a line is y equals 4 x plus 3 over 2. what is the slope of a line that is perpendicular to this line?
Answers
Therefore, the slope of a line perpendicular to the given line is -1/2.
The given equation of the line is y = (4x + 3) / 2.
To find the slope of a line perpendicular to this line, we need to determine the negative reciprocal of the slope of the given line.
The slope-intercept form of a line is y = mx + b, where m represents the slope of the line.
Comparing the given equation y = (4x + 3) / 2 with the slope-intercept form, we can see that the slope of the given line is 4/2, which simplifies to 2.
The negative reciprocal of 2 is -1/2.
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During a sale, a store offered 60% discount on a particular camera that was originally priced $450. After the sale, the discounted price of the camera was increased by 60%. What was the price of the camera after this increase?
Answers
Answer:
$288.00
Step-by-step explanation:
Im just going off what my calculator told me, but im 95% sure its correc
450- 60%= 180
180+60%=288
Please answer the question quickly, I'll mark you brainliest and give you 5 stars!
Answers
Answer:
b.
Step-by-step explanation:
you have to determine weather -1/42) exponet 6 is negative you will then explain how you got the answer because b is the only one with a negative out front all the other answers have them in the parenthesis
4x + 10 = 2x + 24
PLEASE HELP AHHH
Answers
Answer:
x = 7
Step-by-step explanation:
subtract 10 by both sides
4x + 10 = 2x + 24
4x + 10 -10 = 2x + 24 -10
simplfy
4x = 2x + 14
subtract 2x from both sides of the equation
4x -2x = 2x + 14 -2x
simplify
2x = 14
divide both sides of the equation by the same term
2x / 2 = 14 / 2
simplify
x = 7
Bella is watching a baseball game. So far, 4 out of 22 batters have gotten a hit. What is the experimental probability that the next batter will get a hit?
Answers
The required experimental probability that the next batter will get a hit is 2/11.
What is Probability?A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.
According to question:The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.
In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:
P(hit) = Number of hits / Total number of batters
P(hit) = 4/22
Simplifying:
P(hit) = 2/11
Therefore, the experimental probability that the next batter will get a hit is 2/11.
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Brainiest will be given . Please help me
Answers
Answer:
If the shape of end face has n sides
Then, in total, there are n+2 faces
Using that formula
Faces in 20-sided polygon = n+2 = 20+2 = 22
Step-by-step explanation:
Pls vote as brainliest
ANYONE PLS HELP!!! ASAP!!!
Answers
Answer:
76
Step-by-step explanation:
at what point does the curve have maximum curvature? y = 8ex
Answers
The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,
To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.
First, we find the first derivative of y = 8e^x with respect to x:
dy/dx = 8e^x
Then, we differentiate again to find the second derivative:
d²y/dx² = d(8e^x)/dx = 8e^x
Setting the second derivative equal to zero:
8e^x = 0
Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.
However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.
In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.
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can i get help with this please?
Answers
Answer:
1. (any number less than 10) < 10
2. 520 (division)
520
➗ 2
260
3. (any number less than 3 *1 or 2*) < 3
4. (any number greater than 1) > 1
5. (Subtraction - A number subtracting two and the result is less than 10) < 10
Step-by-step explanation:
1. The symbol "<" shows greater than. It is facing the number "10",
So, we need to get any number below 10. As example: 1 ; 2 ; 3 ; 4 ; 5 ; 6 ; 7 ; 8 ; 9. The numbers I mentioned there are what you can use for question 1.
-----------------------------------------------------------------------------------------------------------------
2. The number 520' is what I find to be multi-result but I would do division. Number 520 is part of the addition, subtraction, multiplication, and division but I am doing division.
Divison:
520
➗ 2
260
Multiplication:
260
x 2
520
Addition:
500
+ 20
520
Subtraction:
550
- 30
520
These are the examples that you can try for number 2.
-----------------------------------------------------------------------------------------------------------------
3. First, you can see that there is the greater symbol here again, "<".
But this time, it's pointing to 3. Which means the number is less than 3.
The only numbers that are less than 3 is 1 and 2 so those are the 2 options you can choose.
-----------------------------------------------------------------------------------------------------------------
4. This time, the symbol is less. It's now pointing at 1, so you can pick any number that is greater than 1.
Example:
5 > 1
Like that! You can pick any number that is greater than 1 for this question!
-----------------------------------------------------------------------------------------------------------------
5. the equation "-2 < 10" is about a number subtracting 2 but than the results come in being less than 10. Since we have spotted the greater symbol as "<", and the subtraction symbol as "-".
Now, first we find a number that can subtract 2 but less than 10 in the result.
The options we have are:
1. 2 (2-2=0 ; 0 < 10)
2. 3 (3-2=1 ; 1 < 10 )
3. 4 (4-2=2 ; 2 < 10 )
4. 5 (5-2=3 ; 3 < 10 )
And so on until you reach number 9 as the result!
-----------------------------------------------------------------------------------------------------------------
Hope this helped you! I tried my best to help you. But have a good day!
pls help i give out points
Answers
Answer:
y=2x
Step-by-step explanation:
if you double the x value, you get y so 2x=y
Answer:
y = 2x
Step-by-step explanation:
take two points from the table: (1,2),(2,4)
\(slope-formula:\boxed{\frac{y2-y1}{x2-x1} }\) - use this formula to find out slope.
\(\frac{4-2}{2-1}\)
\(\frac{2}{1}\)
2 .....this is the (m), slope.
make equations using:
y - y1 = m( x - x1 )
y - 2 = 2(x - 1)
y -2 = 2x - 2
y = 2x -2 + 2
y = 2x
100 POINTS !!!!!!
Earlier in this course, you explored Euclidean geometry, which is the study of flat space. This approach follows the teachings of Euclid, in which he describes the relationships between points, lines, and planes without any numerical measurement. You saw evidence of Euclidean geometry inside several proofs and geometric constructions.
In contrast, the focus of this unit is understanding geometry using positions of points in a Cartesian coordinate system. The study of the relationship between algebra and geometry was pioneered by the French mathematician and philosopher René Descartes. In fact, the Cartesian coordinate system is named after him. The study of geometry that uses coordinates in this manner is called analytical geometry.
It’s clear that this course teaches a combination of analytical and Euclidean geometry. Based on your experiences so far, which approach to geometry do you prefer? Why? Which approach is easier to extend beyond two dimensions? What are some situations in which one approach to geometry would prove more beneficial than the other? Describe the situation and why you think analytical or Euclidean geometry is more applicable.
Answers
Answer:
Step-by-step explanation:
Instead of working with the plane, we work with a spear in spiritual geometry, therefore all of the plane's notions are the same as the spear's. Three lines would be required to draw a triangle. We can't adjust the size of these circles to make a triangle bigger. So, in this situation, a line is defined as what I would term a "great circle," meaning it is always the same size as the sphere's radius. As a result, even if we only moved one of them, the angles of the others would shift.
both of the approaches are going fine for me so far. all of the subjects that I've learned have been easy-going and easy to understand. if I had to choose which one was easier for me, I would choose Euclidean. Mostly because it's easier than Analytical as well as it's not hard to solve for the data that was given to me. With Analytical, it's harder to establish a correspondence between geometric curves and algebraic equations.
The table below shows the number of mules it takes to collect hay, Bales of # of Mules Hay 4 2 6 4 5. What is the constant rate of change? 2 e There is no constant rate of change.
Answers
Answer:
Step-by-step explanation:
e
If F(x)=4x-9 find f(-1)
Answers
Answer:
F(-1) = -13
Step-by-step explanation:
If F(-1) then that means x = -1
4 times -1 is -4 and -4 plus -9 is -13
Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence
Answers
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
What is an angle?
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.
The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
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A loan is made for $4800 with an APR of 12% and payments made monthly for 24 months. What is the payment amount? What is the finance charge?
Answers
The monthly payment amount is $217.42 and the finance charge is $413.02.
The payment amount and finance charge can be found by using the formula below
Payment amount formula: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)
Finance charge formula: Finance charge = Total payment - Loan amount
Where P = Loan amount
R = Interest rate per period
N = Number of periods
Given that a loan is made for $4800 with an APR of 12% and payments made monthly for 24 months
Therefore,P = $4800R = 12% / 12 = 1% per month
N = 24
Using the Payment amount formula above: PMT = (P x R x (1 + R)^N) / ((1 + R)^N - 1)
PMT = ($4800 x 0.01 x (1 + 0.01)^24) / ((1 + 0.01)^24 - 1)
PMT = $217.42
Hence, the monthly payment amount is $217.42 (rounded to two decimal places).
Using the finance charge formula above: Finance charge = Total payment - Loan amount
Total payment = Payment amount x Number of periods
Total payment = $217.42 x 24 = $5213.02
Finance charge = $5213.02 - $4800
Finance charge = $413.02
Hence, the finance charge is $413.02 (rounded to two decimal places).
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This figure has two intersecting lines and a ray. What is the value of x?
Answers
Answer:
37 degrees
Step-by-step explanation:
108 = x + 71
37 = x