Edgar accumulated $9,000 in credit card debt. If the interest rate is 20% per year and he does not make any payments for
2 years, how much will he owe on this debt in 2 years for quarterly compounding? Round your answer to the nearest cent.
Answers
To calculate the total amount of interest that Edgar will owe on his credit card debt after 2 years of quarterly compounding at a 20% annual interest rate, we need to use the formula A = P(1 + r/n)^nt, where A is the total amount of money owed after t years, P is the initial principal (or amount borrowed), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, the initial principal is $9,000, the annual interest rate is 20%, the number of times the interest is compounded per year is 4 (since the interest is compounded quarterly), and the number of years is 2. Plugging these values into the formula, we get A = $9,000(1 + 0.20/4)^4 * 2 = $9,000(1.05)^8 = $9,000 * 1.4064 = $12,658.40. Thus, after 2 years of quarterly compounding at a 20% annual interest rate, Edgar will owe approximately $12,658.40 on his credit card debt. This result should be rounded to the nearest cent, giving us $12,658.40.
Related Questions
Fully simplify the following expressions
1. (2⁴ x 5⁵)²
2. (2²+5)²
3. 2-²+3 ÷ 2-¹
Answers
Answer:
above is the solution to the question
Tell whether the angles are complementary, supplementary, or neither.
Answers
Answer:
Supplementary
Step-by-step explanation:
128 + 52 = 180
Brianna has a container with a volume of 1.5 L she estimates the volume to be 2.1 m what is the percent error
Answers
===================================================
Work Shown:
Subtract the values to get 2.1-1.5 = 0.6
Brianna is off by 0.6 liters
Divide that error by the true value 1.5 to get 0.6/1.5 = 0.40
Then move the decimal point 2 spots to the right to arrive at 40%
Therefore, the percent error is 40%
------------------
The formula you can apply is:
\(P = \frac{|G-T|}{T}*100\%\)
where
P = percent error
G = guess value (in this case it is 2.1)
T = true value (which is 1.5 in this case)
If we were to apply the formula, then we get:
\(P = \frac{|G-T|}{T}*100\%\\\\P = \frac{|2.1-1.5|}{1.5}*100\%\\\\P = \frac{|0.6|}{1.5}*100\%\\\\P = \frac{0.6}{1.5}*100\%\\\\P = 0.40*100\%\\\\P = 40\%\\\\\)
whats 8x2456 gvhyufyuglhulgyhuigiliughoylphju
Answers
A line passes through the point (2,8) and has a slope of -5/2
Write an equation in slope intercept form for this line
Answers
Graphing it out is probably the easiest way to learn
y=Mx +b
They gave us the slope (m) and a point.
Once you plug the point and solve you will find b.
8=-5/2(2)+b
b=8+5
b=13.
y= -5/2x+13
Graphing it will kill your time...
a sample of 79 eggs yields a sample mean weight of 1.00 ounces. assuming that the population standard deviation
Answers
The margin of error for 16 eggs with sample means 2 ounce and standard deviation as 42 ounces is 18.407 .
In the question ,
it is given that ,
the number of eggs = 16
the sample means weight is = 2 ounce .
the standard deviation is = 42 ounces .
we have to find the margin of error .
degree of freedom is 16 - 1 = 15 .
and the t score for the 90% confidence interval is
t₁₅,₀.₀₅ = 1.753
So , the margin of error is = t₁₅,₀.₀₅×(standard deviation/√n)
Substituting the values ,
we get ,
= 1.753×(42/√16)
On simplifying further ,
we get ,
= 18.407
Therefore , the margin of error is = 18.407 .
The given question is incomplete , the complete question is
A sample of 16 eggs yields a sample mean weight of 2.00 ounces and a sample standard deviation = 42.0 ounces, find the margin of error in estimating a confidence interval estimate at the 90% level of confidence. Round your answer to three decimal places. You may assume that egg weights are normally distributed .
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HELP ME PLEASEEEE I NEED HELO
Answers
I need to make n the subject
Answers
hope it's helpful
THANK YOU
help me pls
Angle Relationships
Answers
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
Define angle.When two lines come together at a common point, an angle is created. They are expressed as a number of degrees, denoted by the symbol °. Acute, right, obtuse, and reflex angles are the other three significant types of angles. 360 degrees make up a circle. A 720° angle indicates that the object has completed two full rotations.
Here,
You can compare angles and take into account their relationships to other angles in addition to calculating degrees or radians.
Since we are comparing the position, measurement, and congruence of two or more angles, we refer to them as having "angle relationships."
For instance, two lines or line segments that cross each other create two pairs of vertical angles.
When a transversal intersects two parallel lines, complex angle relationships, such as alternating interior angles, matching angles, and so forth, result.
As a result, the answer to the given angle problem can be found by comparing the position, measurement, and congruence of two or more angles.
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Find the area of a circle with
radius, r = 5.52m.
answer rounded to 2 DP.
Answers
Answer:
Step-by-step explanation:
Formula = A=πr2
Putting values in the equation
A = (3.14) (5.52)^2
= 95.73
Answer:
95.73
Step-by-step explanation:
2 decimal points is what the question MEANS:
formula for finding a cirlce (and this is not from the internet)
r^2 times pi
(5.52)^2 times pi
which (5.52) squared becomes a sickly: 30.4704 in decimals
lets say you WANT to keep the decimals, then multiply 30.4704 by 3.14159265359 and absolutely get every single decimal place added in and THEN round it to 2 decimal places (once i didn't do this, i got bad grades in math class)
the answer is 95.7255847919
the decimal place of this is 95.73 not 95.72 or something,
the answer is 95.73
Please help me with this.
Answers
The sin A is equal to 12/13 and the tan (A) is equal to 12/5.
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.
The Pythagorean Theorem says: \(hypotenuse^2=(leg_1)^2+(leg_2)^2\). And the main trigonometric ratios are:
\(sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\\)
The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:
adjacent leg=5
hypotenuse=13
Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.
\(hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12\)
Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:
\(sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}\)
Finally, you can find the tan (A) since:
\(tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}\)
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L. The Fluidfreeride Mantis electric scooter can go at a
speed of 16 miles in 20 minutes. At this rate, how many
minutes would it take it to travel 4 miles?
Answers
Answer:
It would take 5 min
Step-by-step explanation:
It would take him 5 min because he only need to travel a quarter of the distance so it's only a quarter of the time
Use the interactive to describe the conic given by the equation 3x2 – 9xy + 8y2 + x + y – 27 = 0.
Ellipse with foci in the first and third quadrants.
Ellipse with foci in the second and fourth quadrants.
Hyperbola with foci in the first and third quadrants.
Hyperbola with foci in the second and fourth quadrants.
Answers
Answer:
Ellipse with foci in the first and third quadrants
Step-by-step explanation:
edge 2021
O LINEAR EQUATIONS AND INEQUALITIES
Graphing a compound inequality o...
Graph the compound inequality on the number line.
x>-8 and x≤-3
Answers
The compound inequality on the number line is shown below.
We have been given a compound inequality. We are asked to graph the given inequality on number line.
x>8 and x≤3
The solution for the inequality is all values of x less than or equal to 3 and greater than or equal to 8.
We will have solid dots at x>-8 and x≤-3 .
One arrow of the number line would be from 3 to left of the number line (towards negative infinity). The other arrow will be from 8 to right side of number line towards positive infinity.
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stephine puts 30 cubes in a box.the cubes are 1/2 inch on each side.the box holds 2 layers with 15 cubes in each layer.what is the volume of the box
Answers
The Volume of the box is 3.75in³
Volume of a cubeThe volume of the box is dependent on the volume of the cube in it.
To obtain the volume of a cube, we use the relation, V = s³
s = side of the cube
For each cubeVolume = 0.5³ = 0.125 in³
Number of cubes in box = 30
Volume of the boxVolume of each cube × Number of cubes
0.125 × 30 = 3.75 in³
Hence, the volume of the box is 3.75in³
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the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest
Answers
Answer:
Please help me important question in image
Step-by-step explanation:Please help me important question in image
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Answer:
The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.
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12y = 24х
6x = 3y +5
Answers
Answer:
24x-12y=0
6x-3y-5=0
a1/b1 = 4
a2/b2 =4
a1/b1 = b1/b2 ≠ c1/c2
∴ The pair of linear equations in two variables is said to be inconsistent and do not have any solution.
The equation has no solutions
Explanation:
0 does not equal 20
Please see the picture attached.
The length of ribbons found at a seamstress are listed.
3, 11, 11, 13, 13, 21
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 11.
The median is the best measure of variability and equals 11.5.
The range is the best measure of variability and equals 18.
The IQR is the best measure of variability and equals 2.
Answers
At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?
Answers
Answer:
36 green marbles
Step-by-step explanation:
If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:
Green marbles = 60% x 60 marbles
To simplify this calculation, we can convert 60% to a decimal by dividing by 100:
Green marbles = 0.60 x 60 marbles
Green marbles = 36 marbles
Therefore, Rudy received 36 green marbles.
Answer: 36
Step-by-step explanation:
60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36
Let Q be an orthogonal matrix with an eigenvalue λ1=1. Let x be an eighenvector beloinging to λ1. Show that x is also an eigenvector of QT
Answers
If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.
Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.
Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.
Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:
QT * (Q * x) = QT * (λ1 * x)
Applying the associative property of matrix multiplication, we have:
(QT * Q) * x = λ1 * (QT * x)
Using the fact that Q * QT = I, we can simplify further:
I * x = λ1 * (QT * x)
Since I * x equals x, we have:
x = λ1 * (QT * x)
Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:
x = λ2 * x
where λ2 = λ1 * (QT * x).
This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).
In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).
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Determine the end behavior of the graph of the polynomial function. y=-10x^6+11x^5-4Choose one of the correct end behavior below.
Answers
Explanation:
The question wants us to find the end behavior of the polynomial function
\(y=-10x^6+11x^5-4\)To determine the answer, let us first define what end behavior means
\(\mathrm{The\:end\:behavior\:of\:a\:function}\:f\left(x\right)\:\mathrm{describes\:the\:behavior\:of\:the\:function\:as}\:x\:\mathrm{approaches}\:+\infty \mathrm{\:and\:as}\:x\:\mathrm{approaches}\:-\infty \)We will need the graph to also help give a pictorial view
What is the equation for f(x)?
Answers
The solution is:
The inverse of the given equation is ±sqrt(x+1).
Here, we have,
given equation is :
y = x^2 -1
now, we have to find the inverse of the given equation
so, we have,
Exchange x and y, we get,
x = y^2 -1
Solve for y, we get,
Add 1 for each side
we get,
x+1 = y^2-1+1
x+1 = y^2
Take the square root of each side
we get,
±sqrt(x+1) = sqrt(y^2)
±sqrt(x+1) = y
The inverse is ±sqrt(x+1)
Hence, The solution is:
The inverse of the given equation is ±sqrt(x+1).
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complete question:
If f(x) = x^2 -1, what is the equation for f–1(x)?
PLS HELP ITS DUE TODAY AND I WILL GIVE BRAINLY-EST
What is standard form of the following equation?
y= -2/5x + 4
Use integers for A, B, and C. Enter your answer in the box.
____________ x +________________ y =_________________
Answers
Answer:
2x + 5y = 20
Step-by-step explanation:
\(y = - \frac{2}{5} x + 4\)
\( - 5y = 2x - 20\)
\( - 2x - 5y = - 20\)
\(2x + 5y = 20\)
Math help! Is this correct? If not what’s the real answer
Answers
Answer:
It's correct
Step-by-step explanation:
Good job! arcsin(0.9659) is indeed 75 degrees
Now, let’s rewrite our point-slope equation in slope-intercept form.
y−6=−2(x+2)
y−6=
x−4
y=−2x+2
Is this the same equation we got when we wrote it in slope-intercept form earlier? YES!
Any equation written in point-slope form can be rewritten in slope-intercept form and most of the time, we will rewrite them. Slope-intercept form is the most popular and used form of linear functions/equations. In Slope-intercept form, all like terms have been combined, therefore it is in simplified form. Remember that we always want the most simplified answer possible, unless otherwise directed!
Answers
The equation in slope-intercept form is,
y = - 2x + 2
We have to given that;
The point-slope equation is,
y - 6 = - 2 (x + 2)
Now, We can rewrite the equation in slope-intercept form as;
y - 6 = - 2 (x + 2)
y - 6 = - 2x - 4
y = - 2x - 4 + 6
y = - 2x + 2
Thus, the equation in slope-intercept form is,
y = - 2x + 2
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Whoever answers correctly gets brainlist
Answers
Answer:
So now D would be at (-4 , 2)
Step-by-step explanation:
From D, you can calculate every other letter’s location. Yeah.
Answer:
Please mark me as brainliest!
Step-by-step explanation:
The coordinates:
D: ( 2,6 )
A: ( 2, 1 )
B: ( 5, 1 )
C: ( 5, 6 )
You want to translate this down 4 units and left 6 units.
So what you would do is this:
Formula = ( x - 6 , y - 4 )
D: ( -4, 2 )
A: ( -4, -3 )
B: ( -1, -3 )
C: ( -1, 2 )
What is the 30th term of the arithmetic series 3, 7, 11, ...?
118
119
120
121
Answers
Answer:
119
Step-by-step explanation:
common different: 7-3=4
initial value =3
so x-3=(n-1)d
only 119-3=116 is divisible by 4
It's the ans cuz n-1 has to be integer
Find the slope, x and y intercepts and sketch the graph for the linear equation.
y = 2x + 1
Answers
Answer:
In bold below.
Step-by-step explanation:
The slope = coefficient of x = 2.
The y-intercept is when x = 0 and x-intercept is when y = 0.
y = 2(0) + 1 = 1 so the y -intercept is (0, 1).
2x + 1 = 0
x = -0.5 so the x-intercept is (-0.5, 0)
a committee of six is chosen from 12 men and 8 women. determine the number of ways of selecting the committee if
Answers
Answer: there is different types of selecting committe but most of the tuime is men before women
Step-by-step explanation:
What is the slope of the line that passes through the points (3, 4)(3,4) and (0, -2) ?(0,−2)? Write your answer in simplest form.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
The slope formula is useful for the purpose.
m = (y2 -y1)/(x2 -x1)
m = (-2 -4)/(0 -3) = -6/-3
m = 2
The slope of the line is 2.
