C. The Roth IRA reduces the tax burden because its taxes are calculated in a lower bracket.
In a traditional IRA, contributions may be tax-deductible in the year they are made, but withdrawals in retirement are taxed as ordinary income. This means that the $1000.00 investment in a traditional IRA would be taxed at the investor's ordinary income tax rate when it is withdrawn in retirement. If the investor's ordinary income tax rate is 12%, then the tax burden on the $1000.00 investment in a traditional IRA would be $120.00.
In a Roth IRA, contributions are not tax-deductible, but withdrawals in retirement are tax-free. This means that the $1000.00 investment in a Roth IRA would be taxed at the investor's ordinary income tax rate when it is made, but it would not be taxed when it is withdrawn in retirement. If the investor's ordinary income tax rate is 10%, then the tax burden on the $1000.00 investment in a Roth IRA would be $100.00.
Overall, the tax burden on the $1000.00 investment in a Roth IRA is lower than the tax burden on the same investment in a traditional IRA because the taxes on the Roth IRA are calculated in a lower bracket (10% vs 12%).
What are all the real zeros of y=(x-12)3-7?
The real zeros in the given equation y = (x-12)³ - 7 will be x = 13.912.
For the real solutions, we know that a real zero is a real number which makes the value of the function zero. By the question, let
y = 0 ..........(1)
Put values of 'y' in equation (1), and we get.
(x-12)³ - 7 = 0 .........(2)
Adding '7' on both sides of equation (2), we get
(x-12)³ = 7
Taking the cube root on sides, the resulting equation will be:
[tex]\sqrt[3]{(x-12)^{3} }[/tex] = [tex]\sqrt[3]{7}[/tex]
x - 12 = 1.912
By adding '12' on both sides.
x = 13.912
So the only real zeros for the given equation will be 13.912. Other solutions are imaginary zeros.
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Molly bought 4 band shirts and 3 pair of pants for 159.99 Christian bought 3 band shirts and 2 pair of pants for 113.00. How much is 5 band shirts and 5 pair of pants
Total $234.95 is the cost of 5 band shirts and 5 pair of pants.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given, Molly bought 4 band shirts and 3 pair of pants for $159.99.
And Christian bought 3 band shirts and 2 pair of pants for $113.00.
Let x be the band shirts and y be the pair of pants.
So, according to the question;
4x + 3y = 159.99 equation 1
3x + 2y = 113 equation 2
Now, we have the system of the equations.
In order to solve the system of equations:
Multiply 4 to the equation 2 and multiply 3 to the equation 2.
12x + 9y = 479.97
12x + 8y = 452
Subtracting the transformed equation 2 to transformed equation 1.
y = 27.97
Then 12x = 479.97 - 251.73
12x = 228.24
x = 228.24 / 12
x = 19.02.
To find the amount of 5 band shirts and 5 pair of pants:
5x + 5y
= 5 (19.02) + 5(27.97)
= 95.1 + 139.85
= 234.95
Therefore, 5 band shirts and 5 pair of pants cost $234.95.
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1. Let N be set of New England states {ME, NH, VT, MA, CT, RI }. (See map provided.) (Note that Maine is abbreviated as ME and Massachusetts as MA.) For each of the following parts, either give an example of a relation on the set of New England states N that has the noted properties, or else show that no such relation exists. (a) A relation R on N that is reflexive and symmetric but not transitive. (b) A relation S on N that is reflexive and transitive but not symmetric. (c) A relation T on N that is transitive and symmetric but not reflexive.
A relation R on N that is reflexive and symmetric but not transitive of example is { N , ME , MA } .
Given :
Let N be set of New England states {ME, NH, VT, MA, CT, RI }. (See map provided.) (Note that Maine is abbreviated as ME and Massachusetts as MA.) For each of the following parts, either give an example of a relation on the set of New England states N that has the noted properties, or else show that no such relation exists.
a )
A relation R on N that is reflexive and symmetric but not transitive of example is { N , ME , MA } .
b )
A relation S on N that is reflexive and transitive but not symmetric is { MA , CT , RI } .
c )
A relation T on N that is transitive and symmetric but not reflexive is { ME , NH , VT } .
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What is the slope of a line parallel to the line whose equation is 2x y =- 7?; What is the slope of a line parallel to the line whose equation is Y =- 1 2x 3?; How do you find the slope of a parallel line?; Which is the equation of a line parallel to the line with the equation y 3x 5?
The slope of the line parallel to the given lines are as follow:
a. Slope of the line parallel to 2x + y = -7 is -2.
b. Slope of the line parallel to y = (- 1 + 2x) 3 is 6.
c. Slope of the parallel lines are always equal.
d. Equation parallel to the given line y = 3x -5 are y = 3x + c , c may have any real value.
As given in the question,
Slope of two or more parallel lines are always same.
Equation in the form y = mx + c ,
here 'm' is the slope.
a. Slope of the line parallel to 2x + y = -7
y = -2x -7
Slope of the line is -2.
Slope of the line parallel to the given line is -2.
b. y = (- 1 + 2x) 3
⇒ y = 6x -3
Slope of the line is 6 .
Slope of the line parallel to the given line is also 6.
c. Slope of the parallel lines are always equal.
d. Equation of the line parallel to the given line y = 3x -5 is given by:
y = 3x + c , here slope remain same only c value get change.
Therefore, slope of the given lines are:
a. Slope of the line parallel to 2x + y = -7 is -2.
b. Slope of the line parallel to y = (- 1 + 2x) 3 is 6.
c. Slope of the parallel lines are always equal.
d. Equation parallel to the given line y = 3x -5 are y = 3x + c , c may have any real value
The complete question is:
a. What is the slope of a line parallel to the line whose equation is
2x + y =- 7?
b. What is the slope of a line parallel to the line whose equation is
Y = (- 1 + 2x) 3 ?
c. How do you find the slope of a parallel line?
d. Which is the equation of a line parallel to the line with equation y=3x- 5?
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Question Answer Equation Joan found 70 seashells on ...
The number of seashells that Joan gave to Sam is 43 .
In the question ,
it is given that ,
the total number of seashell that Joan found on the beach is = 70 ,
let the number of seashells that she gave to Sam be "x" .
the number of seashells that Joan has with her is = 27 .
So , the equation that represents the above situation about the number of seashells is
27 + x = 70
subtracting 27 from both sides of the equation ,
x = 70 - 27
Simplifying further ,
we get ,
x = 43
Therefore , the number of seashells given is 43 .
The given question is incomplete , the complete question is
Joan found 70 seashells on the beach . she gave Sam some of her seashells . She has 27 seashell . How many seashells did she give to Sam ?
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Russell Slater bought 700 shares of Disney stock at $106.50 per share. Assume a commission of 4% of the purchase price. What is the total cost to Russell?
77532 is the total cost to Russell
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Russell Slater bought 700 shares of Disney stock at $106.50 per share
The amount for 700 shares is 700×106.5
74550
commission of 4% of the purchase price.
We have to convert 4% to decimal value by dividing 4 by 100
0.04
Now multiply 0.04 with 74550 to get the commission
0.04×74550
2982
Now add this commission amount with 74550 to find total cost,
2982+74550
77532
Hence, 77532 is the total cost to Russell
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Solve for b.
6+b=a pls help
Answer:
b = a - 6
Step-by-step explanation:
Solve for b:
6 + b = a
6 + b - 6 = a - 6
b + 0 = a - 6
b = a - 6
in each of the following cases, you are given a set of numbers. in each case, determine whether this set of numbers can be a domain of convergence for a power series. if it cannot, explain why it cannot. if it can, give an example of a power series that has this set as its domain of convergence.
a. [-1,3)
b. (-1,3)
c. (-1,3]
d. [-1,3]
The possible domain of the convergence are b. (-1,3) and c. (-1,3]
Domain of convergence.
In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.
Given,
Here we need to identify in which of the options are domain of convergence.
As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).
So, the possible convergence in the given options are (b) and (c).
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sorry for asking to much its cause i dont understand please help. whats the answer
The difference between the numbers 4.7 and 2.3 is 2.4
what is number line ?
The visual representation of numbers on a straight line is called a number line. On an endless line that extends on both sides, either horizontally or vertically, this line is used to compare numbers that are spaced at equal intervals. The numbers on a horizontal number line grow as we approach towards the right side and drop as we move towards the left.
Between 4 and 5 , there are 10 divisions. Each division shows the value 0.1.
So, 4.7 is marked as shown in the figure.
To find the difference 4.7 - 2.3 , reverse the direction by 2.3 units from 4.7, will give us 2.4..
So, the difference between 4.7 and 2.3 is 2.4
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What is the angle measurement and angle relationship?
An angle is formed when two lines or rays meet at a common point. The common point is known as the vertex.
An angle measurement can be defined as the measure of the angle formed by the two rays or arms at a common vertex. Angles are measures in degrees. There are many kinds of angles in geometry such as acute, obtuse, reflex, straight and right angle. Each angle has a different measure.
Angle relationship between the angles made when a line intersects a pair of parallel lines.
In geometry, there are five fundamental angle pair relationships such as complementary angles, supplementary angles, adjacent angles, linear pair, vertical angles.
The more familier unit of measurement is that of degrees. A circle is divided into 360 equal degrees, so that a right angle is 90°. Two angles are complementary if the sum of their measures is 90°.
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A and B are events defined on a sample space, with P(A) = 0.6 and P(BIA) = 0.3. Find P(A and B)
A and B are events defined on a sample space, with P(A) = 0.6 and P(BIA) = 0.3. then P(A and B) = 0.18
What is conditional probability?Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.
If A and B are events defined on the sample space with P(A) = 0.6 and P(BIA) = 0.3.
To find P(A and B),
we use the formula of conditional probability,
P( A and B ) = P (BIA) P(A)
P( A and B ) = 0.6 × 0.3
P( A and B ) = 0.18
Therefore, P ( A and B ) is 0.18.
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Write the equation of the transformed graph of tangent with period 4 that has
y = 3 + tan (π/4)x , this is the equation of transformed graph of tangent with period 4 that has been shifted vertically up 3 units.
Our parent function:
y = tan x
Let's apply the vertical shift now:
y = 3 + tan x
Now the period. This is a little tricky because we have to remember that the period is equal to π/b, because tangent functions normally have a period of π, and the b is the value placed in front of the x.
In this case, that value would have to be π/4
π/(π/4) = 4
Therefore, our b-value is π/4 and our final equation is as follows:
y = 3 + tan (π/4)x
The question is :
write the equation of the transformed graph of tangent with period 4 that has been shifted vertically up 3 units
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Help!
Para determinar el monto del interés de un depósito con cierta tasa de interés , capital inicial
y tiempo , se usa la siguiente expresión: =
∙ (1 +
100)
. Carlos depositó un capital de
$ 1.500.000 durante un año y medio a una tasa de interés mensual del 2,5 %, ¿cuál es el monto que
retirará Carlos después de este período?
The balance of Carlos account after this period, using simple interest, is of:
$2,339,488.08.
How to obtain the balance?This is a simple interest problem, hence the balance of the account can be obtained using an exponential function, defined as follows:
[tex]B(n) = B(0)(1 + r)^n[/tex]
In which the parameters of the exponential function are defined as follows:
B(0) is the initial deposit.r is the interest rate, as a decimal.n is the number of periods.In the context of this problem, the values of these parameters are given as follows:
B(0) = 1500000, r = 0.025, n = 18, as one and a half year = 18 months.
Then the balance of Carlos account is obtained as follows:
B(18) = 1500000(1.025)^18 = $2,339,488.08
TranslationCarlos deposited: $1,500,000.Time of 1.5 years.Interest rate of 2.5% montly.Asks for the balance.More can be learned about simple interest at
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what's 1+1 wrong answers only if you guess 2 or 11 your done
Answer: 2
Step-by-step explanation:
A circle with a radius 7 cm long is centered at an angle's vertex, and the angle's rays subtend an arc length of 15 cm along the circle. The subtended arc is how many times as long as the circle's radius? 07 _ 15 = 8 O15 _ 7 = 8 7 0.467 15 15 0.341 2T0 15 2.143
The subtended arc is 2.14 times as long as the circle's radius.
What is radius of circle?
A circle or sphere's radius is any line segment that connects the object's center to its perimeter in classical geometry; in more contemporary usage, it also refers to the length of those line segments. The word "radius" is derived from Latin and means "ray" as well as "the spoke of a chariot wheel."
Given:
A circle with a radius 7 cm long is centered at an angle's vertex, and the angle's rays subtend an arc length of 15 cm along the circle.
The radius of the circle is 7 and length of the subtend are is 15 cm. The required value is given by:
Subtended arc / Radius = 15 / 7 = 2.14
Therefore, option (e) is the correct answer.
Hence, the subtended arc is 2.14 times as long as the circle's radius.
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Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions as the one shown.8x + 7y = 394x - 14y = -68
Answer:
Solution of the given equation by elimination method is x=0.5 and y=5.
Step-by-step explanation:
8x + 7y = 39 --------------(1)
4x - 14y = -68 ------------(2)
Multiply the equation 2 by -2, then add the equations along.
Equation (2) multiply by -2 : -8x +28y = 136
8x + 7y = 39 --------------(1)
-8x +28y = 136-----------(2)
Add these equations to eliminate x:
0x+35y=175
35y=175
y=5
Substitute y=5 in 8x+7y=39:
8x+(7)(5) =39
8x+35=39
8x=39-35
8x=4
X=8/4
x=0.5
Solution of the given equation by elimination method is x=0.5 and y=5.
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Based on the 90% confidence interval of (8.21, 11.75) points, which of the following are reasonable 95% confidence intervals for the population mean difference in exam scores before and after taking an exam prep course? Select any that may apply: 83, 12.13) points 53, 11.83) points (8.45, 11.51) points (8.63, 11.33) points Cannot be determined with the information given: Saved
The reasonable 95% confidence intervals for the population mean difference is (7.83, 12.13) , the correct option is (a) .
In the question ,
it is given that ,
90% confidence interval is given as (8.21 , 11.75)
using this interval , we have to find the 95% confidence interval .
Now, [tex]x_{d}[/tex] - E = 8.21
[tex]x_{d}[/tex] + E = 11.75 , where E is the margin of Error .
Solving the equations ,
we get ,
E = 1.77 and [tex]x_{d}[/tex] = 9.98
So , the margin of error E is given as
E = [tex]t_{\frac{0.10}{2},15 } \times \frac{S.D.}{\sqrt{n} }[/tex]
we have to find standard deviation from this ;
given n = 16 and [tex]t_{\frac{0.10}{2},15 }[/tex] = 1.7531
Substituting in the margin of error equation ,
we get ,
S.D. = (1.77 × 4)/1.7531
= 4.0386
So , the 95% confidence interval is given as [tex]x_{d}[/tex] ± [tex]t_{\frac{0.10}{2},14 } \times \frac{S.D.}{\sqrt{n} }[/tex] .
from t table , [tex]t_{\frac{0.10}{2},14 }[/tex] = 2.1314
Substituting ,
we get ,
CI = (9.98 ± 2.1314×4.0386/√16)
= (9.98 ± 2.1519)
= ( 9.98 - 2.1519 , 9.98 + 2.1519)
= (7.83 , 12.13)
Therefore , the correct option is (a) (7.83 , 12.13) .
The given question is incomplete , the complete question is
Based on the 90% confidence interval of (8.21, 11.75) points, which of the following are reasonable 95% confidence intervals for the population mean difference in exam scores before and after taking an exam prep course? Select any that may apply:
(a) (7.83, 12.13)
(b) (7.53, 11.83)
(c) (8.45, 11.51)
(d) (8.63, 11.33)
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Which table of values matches the equation y - 3x - 3?
As a result, the second table agrees with the formula y= 3x -3.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
-3x - 3 = -6
y= 3x -3
Therefore, the second table matches the equation y= 3x -3.
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Blood pressure in a population of very at risk people has expected value of 195 and a standard deviation of 20. Suppose you take a random sample of 100 of these people: There would be a 68% chance that the average blood pressure would be between Select one: 155 to 235 193 to 197 175 to 215 191 to 199 200 to 230
There would be a 68% chance that the average blood pressure would be between 193 to 197.
The subset chosen from the larger set to make assumptions is known as a random sample. A range of values is a confidence interval.
We know that,
E = z ( α / 2 ) × σ / √n → 1
As per the given question,
Blood pressure in a population of very at risk people has an expected value ( x ) = 195Standard deviation ( σ ) = 20Number of random samples ( n ) = 100For 68% confidence,
z ( α / 2 ) = 0.9944
Substitute the values in 1,
E = z ( α / 2 ) × σ / √n
= 0.9944 × 20 / √100
= 0.9944 × 20 / 10
= 0.9944 × 2
E = 1.9888 ≅ 1.99
Let us consider,
⇒ x - E < μ < x + E
⇒ 195 - 1.99 < μ < 195 + 1.99
⇒ 193.01 < μ < 196.99
⇒ 193 < μ < 197 ( ∵ 193.01 ≅ 193 and 196.99 ≅ 197 )
⇒ μ = ( 193 , 197 )
Therefore, A 68% chance that the average blood pressure lies between 193 to 197. Hence Option b is correct.
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The complete question is
Blood pressure in a population of very at risk people has an expected value of 195 and a standard deviation of 20. Suppose you take a random sample of 100 of these people. There would be a 68% chance that the average blood pressure would be between Select one:
a.) 155 to 235
b.) 193 to 197
c.) 175 to 215
d.) 191 to 199
e.) 200 to 230
Ball A is dropped from the top of a building. At the same instant, ball B is thrown vertically upwards from the ground. When the balls collide, they are moving in opposite directions and the speed of A is twice the speed of B. At what fraction of the height of the building did the collision occurs? B. 2/3
The fraction of height at which the collision occured is , y/y₀ = 1/2 + v₀²/(2 g y₀) .
For ball A
Given that the ball is dropped and its initial velocity is zero, the equation is
= - 2 g (y₀-y)
For ball B
v {B}^2 = v₀² - 2 g y
We swap out
2v {B}^2 = -2 g (y₀ -y)
g y0 + 2 g y = -v B2
v {B}^2 = v₀² - 2gy
It can be solved because it is a system of two equations with two unknowns. Let's add and multiply by -1.
0 = g y₀ + v₀² -2gy
Bypassing the height
y = (g yo plus v02) / 2g
y = yo / 2 + v₀² / 2g
In this exercise, we'll assume that the building's height and ball B's initial velocity are both known.
The percentage is
y/yo
= 1/2 + v₀²/(2gyo) (2gyo)
Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster.
If the two are travelling on the same route in the same direction, it is simple to determine which is quicker.
It is challenging to identify who is moving the fastest when their motion is in the other direction.
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which graph represents the function fx x2 5
In the picture we can see the graph represents of the function f(x)=-x²+5 that is curve graph.
Given that,
We have to find the graph represents the function f(x)=-x²+5.
We know that,
The quadratic function is f(x)=-x²+5.
This is a vertical parabola open downward
The vertex is a maximum
We know,
A vertical parabola's equation in vertex form is equal to
y= a(x-h)²+k
where
a is a coefficient
(h,k) is the vertex
Here
a=-1
(h,k)=(0,5) is vertex
The y-intercept is the point (0,5) is value of y when the value of x is equal to zero (is the same point that the vertex)
The x-intercepts are the points is values of x when the value of y is equal to zero
Therefore, In the picture we can see the graph represents of the function f(x)=-x²+5.
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Which value of n makes the equation true? -1/2 n = -8
Answer:
n = 16
Step-by-step explanation:
-1/2 n = -8
(-1/2 * n = -8) * 2 ==> multiply the equation by 2 to remove fractions
-1 * n = -16
-n = -16 ==> simplify
n = 16
Answer: 16
Step-by-step explanation:
-1/2n=-8
Divide by -1/2
n=16
:) anything helps. I dont understand
The values of x in the triangles are (a) 15 and (b) 4
How to determine the values of x in the figures?From the question, we have the following parameters that can be used in our computation:
Triangle 1 and Triangle 2
Solving triangle 1
In this triangle, we can see that the side lengths of the triangles are congruent
This means that the triangles is an equilateral triangle
The individual angles in an equilateral triangle are 60 degrees
So, we have the following representation
4x = 60
Divide both sides of the equation by 4
x = 15
So, the value of x is 15
Solving triangle 2
In this triangle, we can see that the length KM of the triangle divides the length JL into congruent parts
This means that the JM and LM are congruent
So, we have the following representation
x + 1 = 5
Subtract from both sides of the equation by 1
x = 4
So, the value of x is 4
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A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of a randomly chosen student. Find the mean score and interpret the result. Round the answers to two decimal places as needed. 5 6 7 8 9 10 P(x) 0.06 0.18 0.37 0.22 0.11 0.06 Send data to Excel The mean is If we were to give this quiz to more and more students, the mean score for these students would approach :
The mean score is 6.48. If we were to give this quiz to more and more students, the mean score for these students would approach 6.48.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
To find the mean score, we need to calculate the expected value of the score. The expected value is calculated by multiplying the score by its probability and summing over all possible scores.
The expected value is:
(5 * 0.06) + (6 * 0.18) + (7 * 0.37) + (8 * 0.22) + (9 * 0.11) + (10 * 0.06) = 6.48
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Question A zoo sells 43 adult tickets and 80 child tickets in one day. Each adult ticket costs $20 and each child ticket costs $13.
The total amount of ticket sales on this day is $1900.
What is meant by an algebra?Math has several different subfields, including algebra. Algebra, a common thread that runs through nearly all of mathematics, is the study of mathematical symbols and the rules for using them in formulas.
Elementary algebra is crucial for all mathematical applications since it deals with the manipulation of variables, which are frequently represented by Roman letters, as though they were numbers. The study of algebraic structures such as groups, rings, and fields is known as abstract algebra, mostly in education (the term is no more in common use outside educational context). In contemporary presentations of geometry, linear algebra—which deals with linear equations and linear mappings—is used.
Given,
Number of adult tickets sold by zoo=43
And number of child tickets sold by zoo=80
Also given that,
The cost of each adult ticket=$20
And the cost of each child ticket=$13
20 x 43 = 860
80 x 13 = 1040
860 + 1040 = 1900
Therefore, the total amount of ticket sales on this day is $1900
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The complete question is:
"Question A zoo sells 43 adult tickets and 80 child tickets in one day. Each adult ticket costs $20 and each child ticket costs $13.
What is the total amount of ticket sales on this day?
Enter your answer in the box.
$="
How much money should be deposited today in an account that earns 4% compounded monthly so that it will accumulate to 12000 dollars in three years?
$9483.774 money should be deposited in the account.
Let the amount to be invested be P=$x so that the amount accumulated is A = $12000. We have t=3 years. The rate of interest is r=0.04 per year. n = 2 as interest will be compounded twice a year.
What is interest?
Interest, in its most simple form, is calculated as a percent of the principal.
Interest is the amount of money a lender or financial institution receives for lending out money. Interest can also refer to the amount of ownership a stockholder has in a company, usually expressed as a percentage.
Now,
[tex]x (1 + \frac{0.04}{2} )^{2 * 3}[/tex] [tex]= 12000[/tex]
[tex]x(1.04)^{6}[/tex] [tex]= 12000[/tex]
[tex]x = \frac{12000}{(1.04)^{6} }[/tex]
≈ 9483.774
∴ Amount invested ≈ $9483.774.
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Shaina is 55 kg.what is Shaina's weight in grams?
Answer:
55000 grams
Step-by-step explanation:
1 kg = 1000 grams ==> kilo means 1000, so 1 kilogram = 1000 grams
Now multiply 55 kg with the grams-kilograms conversion factor to get the total number of grams Shaina weighs.
55 kg* 1000 grams / 1 kg =
55 * 1000 grams / 1 = ==> cancel out the kg
55 * 1000 = 55000 grams
Please help! The answer options for the select button are:
SELECT; SELECT;
-1.025 Percent per decade
-2.5 percent per year
The average rate of change from 1992 to 2000 is -1.025 percent per decade.
What is the average rate of change?
It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
the average rate of change :
A(x) = 34.5 - 42.7 / 2000 - 1992
A(x) = -8.2 / 8
A(x) = -1.025
Hence, the average rate of change from 1992 to 2000 is -1.025 Percent per decade.
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HELP ME QUICICICKCKC
Answer:
A.
Step-by-step explanation:
Multiply the x like terms than multiply the other like terms
PLEASE SHOW STEPS WILL MARK BRAINLIEST
The following graph shows a top-opening parabola.
What is the vertex form of the equation that represents this parabola?
Responses
y=(x−9)2−1y is equal to open paren x minus 9 close paren squared minus 1
y=(x+1)2−9y is equal to open paren x plus 1 close paren squared minus 9
y=(x+9)2−1y is equal to open paren x plus 9 close paren squared minus 1
y=(x−1)2−9
Answer:
(b) y=(x+1)²−9
Step-by-step explanation:
You want the vertex form equation of the graphed parabola, which opens upward and has its vertex at (-1, -9).
Vertex formThe vertex form equation for a parabola with vertex (h, k) is ...
y = (x -h)² +k
The vertex of the parabola shown is (h, k) = (-1, -9). Using these values in the equation gives ...
y = (x +1)² -9
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Additional comment
The equation may include a scale factor that multiplies the square. Here, the curve rises 1 unit for 1 unit either side of the vertex, so the scale factor is 1. (The rise at ±1 from the vertex is the scale factor.)
Steps: (1) read the vertex coordinates from the graph; (2) put those coordinates in the vertex form equation; (3) check to see that the vertical scale factor is 1.