A retirement account is opened with an initial deposit of $9,500 and earns 7.15% Interest compounded monthly. What will the account be worth in 20 years? (Round your answer to the nearest cent.)
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
In 20 years, the account will be worth $39,529.55.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $9500
r = 7.15%
n = 12
t = 20 years.
Substituting in the formula we get,
A = P [tex](1 + r/n)^{nt}[/tex]
A = 9500 [tex](1 + 7.15/12)^{12\times20}[/tex]
A = 9500 x [tex]1.0059^{240}[/tex]
A = $39,529.55
Thus,
In 20 years, the account will be worth $39,529.55.
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Which of the following rational functions is graphed below?
Answer:
C
Step-by-step explanation:
If x = -5 or x = 2 the function doesn’t exist
If x = 0 , y = 0
a dataset has mean and standard deviation and median m. we transform the dataset by calculating the following value for each datapoint with value xi: (a and b are both positive numbers.) what is the variance of the new dataset? group of answer choices
Our new measures of central tendency and spread are Mean: (9+9+13+15+19)/5=13(9+9+13+15+19)/5=13.
What is mean?In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.acc to our question-
Median: 1313Mode: 99Range: 19-9=1019−9=10learn more about mean click here:
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the initial value of a counting semaphore is initialized to 7. a total of 20 p() and 15 v() operations are performed on the semaphore in that order. what will be the final value of the semaphore?
2 will be the final value of the semaphore.
What is the counting semaphore's initial value?
The semaphore's value represents the number of resources that are available; a thread can P the semaphore to acquire a resource, utilize it, and then V on the semaphore to return the resource to the pool. The sum of the resources that are readily available ought to be the semaphore's starting value.Initial value of a counting semaphore = 7
totalP() operations performed on the semaphore = 20
totalV() operations performed on the semaphore = 15
Final valoe of semaohore = ?
after 20 P operations performed on the semaphore,
value of the semaphore =
Initial value of a counting semaphore - total P() operations performed on the semaphore
= 7 - 20 = - 13
after 15 V operations performed on the semaphore,
value of the semaphore =
Value of semaphore after 20P operations performed on the semaphore + total V() operations performed on the semaphore
= -13 + 5
= 2
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Graph the line with slope -2 passing through the point (3, -5).
Answer:
Step-by-step explanation:
In the United States, people pay federal income tax based on their t
2020, the tax rate for a single person with a taxable income up to $9875 was 10%. A
single person in the taxable income bracket of $9876 to $40,125 pays $987.50 plus 12%
of the amount over $9875.
1 Suppose John earns $9875, how much does he take home after taxes?
If John receives a pay increase and now earns $12,000, how much will he take home
after taxes?
An individual must pay the individual income tax, sometimes known as the personal income tax, on all of their annual income, including wages, salaries, dividends, interest, and other types of income. The state where the income is earned often levies the tax.
Explain about the Income taxes?Businesses and individuals are subject to income taxes (or family units). Individual income taxes are computed based on the income received. Because the burden is assumed to fall on the payers, it is typically characterized as a direct tax.
Individuals and businesses both pay income taxes on their profits. There are several different types of income that are taxable, including wages, salaries, dividends, interest, royalties, rental income, gambling revenues, and sales of items.
There are seven federal tax brackets for the 2022 tax year: 10%, 12%, 22%, 24%, 32%, 35%, and 37%. Your tax bracket is determined by your filing status and taxable income. Taxes that are payable in April 2023 are subject to these rates.
If John earns $9875 he has to pay tax $987.5.He can take home $8,887.5
If john earns $12,000 he has to pay $ 2425.5 He can take home $9,574.5
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-b+√b²-4.a.c what's the final value?
[tex] - b + |b| - 4ac[/tex]
a sequence is formed by adding to the triple of the previous term. if the first term is , how many multiples of less than would be terms of the sequence?
If the first term is 1, there are 9 multiples of 6 less than 10000 that would be terms of the sequence.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is given that, a sequence is formed by adding to the triple of the previous term.
If the first term is 1, we have to find the multiples of 6 less than 10000 would be terms of the sequence.
First term = 1
2nd term =1 x 3 + 2 = 5
3rd term =5 x 3 + 2 = 17
4th term =17 x 3 + 2 = 53
5th term =53 x 3 + 2 = 161
6th term=161 x 3 + 2 = 485
7th term=485 x 3 + 2 = 1457
8th term=1457 x 3 + 2 =4373
9th term=4373 x 3 + 2 =Goes over 10,000
Thus, if the first term is 1, there are 9 multiples of 6 less than 10000 that would be terms of the sequence.
The question is incomplete, the complete question is"A sequence is formed by adding 2 to the triple of the previous term. If the first term is 1 , how many multiples of 6 less than 10000 would be terms of the sequence?'
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An irregular polygon has exterior angle measures of 92, 73, 63, and 104 degrees. What is the measure of the fifth interior angle?
Answer:
152°
Step-by-step explanation:
the sum of the exterior angles of a polygon = 360°
let x be the measure of the fifth exterior angle , then
92° + 73° + 63° + 104° + x = 360°
332° + x = 360° ( subtract 332° from both sides )
x = 28°
then
interior angle + exterior angle = 180° , that is
interior angle + 28° = 180° ( subtract 28° from both sides )
interior angle = 152°
the exterior angles of a polygon is 360°
92 + 73 + 63 + 104 = 332
360 - 332 = 28° is the measure of the fifth interior angle.
(X) 4.1.PS-8
Evaluate 8.1x + 7.5y when x = 7 and y = 8.
8.1)+7.5(
)=
+60.0
8.1()+7.5()+60.0
(Type integers or decimals.)
116.7
Step-by-step explanation:
[tex]{ \blue{ \sf{8.1x + 7.5y}}} \: { \to} \: { \red{ \bold{ {eq}^{n} (1)}}}[/tex]
Put x = 7 and y = 8 in Eqⁿ (1)
[tex]{ \blue{ \sf{8.1(7) + 7.5(8)}}}[/tex]
[tex]{ \blue{ \sf{56.7 + 60.0}}}[/tex]
[tex]{ = { \pink{ \boxed{ \purple{ \sf{116.7}}}}}}[/tex]
Leila is buying a dinosaur model. The price of the model is x dollars, and she also has to pay a 7% tax
Which of the following expressions could represent how much Leila pays in total for the model?
a. 107/100x B. 0.7x + x c. 1.07x \d. x+7/100x e. 1.7x
Choose 2 answers:
Answer:
C and A
Step-by-step explanation:
Since we need to find the common factors like 107/100 - 1.07 the X cancel out and we are left with the answers c and a
Answer:
The total price Leila pays for the model is 1.07x dollars .
Option (C) is correct .
Step-by-step explanation:
Leila is buying a dinosaur model.
The price of the model is x dollars, and she also has to pay a 7% tax.
7% is written in the decimal form .
= 0.07
Tax price = 0.07 × Cost of the model
= 0.07x
Total price Leila pays for the model = Cost of the model + Tax price
Putting all the values in the above
Total price Leila pays for the model = 0.07x + x
= 1.07x dollars
Therefore the total price Leila pays for the model is 1.07x dollars .
Option (C) is correct
Please answer the second question ASAP
25th second part
Thank you!
If D is the midpoint of the segment BC then 2(BM + MD) = 2DC.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial qualities such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.
In the given image we have a triangle in which line BC is cut into two halves at point D. This Means that D is the mid-point of line BC.
Here if segment BC is divided by point D into two halves then,
BM + MD = DC
The value of 2DC will be,
2DC = 2 (BM + MD)
Therefore, the value of 2DC will be equal to 2(BM + MD).
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How do you find 85%?.
Answer:To calculate, multiply the percentage by the number and then divide by 100. For example, 85 percent of 19 = 16.15. The table below shows the results for numbers from 1 to 1000.
Step-by-step explanation:
How do you find 85 of a number without a calculator?
Find the percentage of one number in relation to another with the formula Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.
How do I calculate percent?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100
How do you calculate percentage manually?
Finding the percentage
Divide the number that you want to turn into a percentage by the whole. In this example, you would divide 2 by 5. 2 divided by 5 = 0.4. You would then multiply 0.4 by 100 to get 40, or 40%.
which expression is equivalent to 4 8 over 4 2
an experiment involves selecting a random sample of 256 middle managers for study. one item of interest is their annual incomes. the sample mean is computed to be $35,420.00. if the population standard deviation is $2,150.00, what is the standard error of the mean?
The standard error is 153.125
What is meant by standard error?The population mean's likelihood to deviate from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if the research were to be repeated with fresh samples drawn from a single population.
What is standard error vs standard deviation?The standard error is a measure of variability, just as the standard deviation. Standard error, on the other hand, reflects variability over numerous samples of a population, whereas standard deviation describes variability within a single sample.
being that
The sample size is 256.
The average is $35,420.
And $2,450 is the standard deviation.
We must ascertain the standard error.
The fact that
= random sample standard deviation
= 2450 ÷ √256
= 2450 ÷ 16
= 153.125
Consequently, 153.125 is the standard error.
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x-4 / 5 - x+1 / 6= 1/3
The value of the x is 39.
Given equation is x-4 / 5 - x+1 / 6= 1/3.
Now, to solve this we have to take the L.C.M for both the fraction s which is 30.
Multiply the equation with 30 and we will get the :
30(x-4)/5 - 30(x+1)/6 = 30/3,
6(x-4) - 5(x+1) = 10 ,
6x - 24 -5x -5 = 10,
x -29 = 10, adding 29 on both sides
x = 39
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Which point is located at (5,-2)?
76
A
point A
point B
point C
B
5
4
3
1
7 999 999
3
4
5-6-7 X
D
PLEASE HELP!
In the coordinate axis the point D is located at the position of (5,-2) .
In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located
The coordinates of each point are :
A (-5,-2)
B (-2,5)
C (2,-5)
D (5,-2)
Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.
A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.
The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.
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3. Javier's team made 3 out of 5 penalty kicks.
What percent did they make?
Answer:
60%
Step-by-step explanation:
3 divided by 5 is 0.6
Multiply this by 100 to get the percent and you will end ups with 60%
Hopes this helps please mark brainliest
i need help with number 11
Answer:
Step-by-step explanation:
So the first thing that you'll have to recognize is that the interior angles of a triangle add to 180°
Next, note that the angle that is given as 5y -23 is also the same angle as the inside of the triangle, as well as the angle it's written on.
recognizing both of these let's you write this.
180 = 2x+13 + 47 + 5y - 23
this doesn't help us too much because there are two unknowns and only one equation. we would need two equations to solve this :(
but.....
now note, that the angle 3x and 5y - 23 are also equal. Assuming that the lines are parallel that look parallel. I think for this problem we can assume that they are.
now revise the problem
180 = 2x+13 +47 +3x
now use your algebra skillz
180 = 5x 60
180-60 = 5x
120 = 5x
120/5 = 5x/5
24 = x
now plug x into the earlier equation
180 = 2x+13 + 47 + 5y - 23
180 = 2(24) + 13 + 47 +5y - 23
180 = 48 + 13 + 47 +5y -23
180 = 109 - 23 + 5y
180 = 85 + 5y
180 - 85 = 5y
95 = 5y
19 = y
Five scatterplots are shown. Match each scatterplot to the value of r that corresponds to it.
Use this graphic to answer the question..
Scatterplot E
Scatterplot C
Scatterplot B
Scatterplot D
Scatterplot A
r=-0.925
r=-0.004
r=-0.528
r= 0.997
r=0.567
The scatter plot showing r = -0.925 is graph c, r = -0.004 is graph a, r = -0.528 is graph d, r = 0.997 is graph d, r = 0.567 is graph b.
What is scatter plot?A scatter plot uses dots to represent values for two different numeric variables.
Given four graphs, to identify which of the scatter plots matches the correlation coefficients that are given:
(i) A scatter plot that shows a trend that rises from the left to your right shows a positive correlation between two variables.
(ii) A scatter plot that shows a trend that descends downwards from the right to your left shows a negative correlation between two variables.
(iii) The farther away the data points are from each other, the greater the value of the correlation coefficient and vice versa.
Hence, r = -0.925 → graph c
r = -0.004 → graph a
r = -0.528 → graph d
r = 0.997 → graph e
r = 0.567 → graph b.
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Four fifths plus one thirds plus eleven twelfths
Answer: 1/3
Step-by-step explanation: 4/5 + 3/15 is equal to 12/15 + 3/15
12/15 + 3/15 = 1
1/1 - 2/3 is equal to 3/3 - 2/3
3/3 - 2/3 = 1/3
Solve the inequality and graph the solution on the line provided. -8 + 4x < -4
The solution of inequality -8+4x<-4 is given by x<1 anbd the graph is given by,
Given the inequality is, -8+4x < -4
Solving the inequality we get,
-8+4x < -4
4x < -4+8, adding 8 to both sides
4x < 4
x < 1, dividing both sides by 4
Hence the solution is x<1.
The graph of solution set in number line is,
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Use point-slope form to write the equation of a line that passes through the point (16,-14) with slope 11.
The required point-slope form of the equation of the line is y - 5 = -4(x + 1).
Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)
Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).
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Suppose T= {-8,-4,0,4,8,12,16,20} and K= {-3,-2,-1,0,1,2,3,4,5,6}. What is T U K?
Answer:
U MEANS UNION
{-8,-4,0,4,8,12,16,20} U {-3,-2,-1,0,1,2,3,4,5,6} BECOMES
{0, 1, 2, 3, 4, 5, 6, 8, 12, 16, 20, -1, -8, -4, -3, -2}
happy learning!
At Pizza Pie Heaven a large pizza has a diameter of 16 inches. One slice of a large pizza, cut into S slices, has an area of 25.12 square inches. What is the approximate length, to the nearest inch, of the are formed by one slice of a large pizza?
The length of one slice of a large pizza is 8 inches.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as πr².
We have,
A large pizza:
Diameter = 16 inches
Radius = 8 inches
Area of the pizza.
= π x 8 x 8
= 3.14 x 8 x 8
= 200.96 square inches
Pizza cut into S slices.
The area of each slice = 25.12 square inches.
The number of slices.
= 200.96 / 25.12
= 8
Now,
The length of each slice of the pizza will be its radius.
So,
Length = 8
Thus,
The length of one slice of a large pizza is 8 inches.
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Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house. What is the shortest distance between caroline’s and mattie’s houses?.
Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house.
The shortest distance between Caroline’s and Mattie’s house is 10 blocks.
If we assume this as a right angle triangle then height(BA) is 6 blocks long and base(BC) is 8 blocks
long.
Then, the shortest distance between Caroline’s and Mattie’s house will be the hypotenuse(AC) of this
triangle.
So, by applying Pythagoras theorem:
(AC)² = (BA)² + (BC)² = (6)²+(8)² = 36+64 = 100
Thus, AC = √100 = 10 block
Hence, the shortest distance we can take from Caroline’s house to reach Mattie’s house is 10 blocks.
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How are sides RS and RT related to each other?
By using properties of triangle, it can be calculated that
RS = 1.183 RT
What is a triangle?
A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles
By using properties of triangle,
[tex]\frac{RT}{sin \angle S} = \frac{RS}{sin \angle T}\\\\ \frac{RT}{sin 50} = \frac{RS}{sin 65}\\\\ \frac{RT}{0.766} = \frac{RS}{0.906}\\\\ RS = \frac{0.9606}{0.766}RT\\RS = 1.183RT[/tex]
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help..........................
Answer:
The answer for this is you say 180-122=58 because of Co interior angle. Then P=58 because of alternate angle
solve
5/x+2 + 4/x+1 =2
Answer:
1.5,3
Step-by-step explanation:
Hope this helps it's all I could find I'm sorry
Ooo! It's fall and Thanksgiving time! I gotta get ready for Thanksgiving and for my friends to come over! Fun! - Ash the Fox
Jack can run a mile in less then 8 1/2 minutes. Write and graph an inequality to describe this statement
The graph of an inequality x miles < 8.5 minutes to depict the situation in the question is as attached.
How to draw an inequality number line graph?We are told that Jack can run a mile in less than 8¹/₂ minutes. Now, this can also be written as 8.5 miles.
Now, let the number of miles ran be x miles and it means we can write the inequality of the situation as;
x miles < 8.5 minutes
Now, for the number line graph to depict this situation, it means that the arrow will point to the left and the circle at 8.5 will be unshaded.
Thus, the inequality line graph would be drawn as shown in the image attached to depict the situation that x miles < 8.5 minutes
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