Answer:
2,000(1.04)t
Step-by-step explanation:
To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.
Answer:
Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?
2000t1.04 2000(0.04)t 2000(1.04)t <<<CORRECT 2000(1.4)t
Step-by-step explanation:
Edge 2021
show a²-4= (a+ 2)(a-2) in diagram
The equation a²-4=0, which corresponds to the factorization of a²-4= (a+ 2)(a-2)
What is Factorization?Factorization refers to the process of breaking down a mathematical expression into simpler parts that can be multiplied together to give the original expression. For example, factorizing the expression x² + 4x - 12 would give (x - 3)(x + 4) as the factors.
In algebra, factorization is used to simplify expressions and to find the solutions of equations. For example, in the quadratic equation ax² + bx + c = 0, the first step in solving the equation is to factorize the quadratic expression ax² + bx + c. Once this is done, it becomes easier to find the solutions of the equation by setting each factor equal to zero and solving for x.
Factorization can also be used to simplify expressions in other branches of mathematics, such as number theory. For example, the prime factorization of a composite number is the representation of that number as a product of prime numbers.
Given:
The equation a²-4= (a+ 2)(a-2) is a factorization of a quadratic expression. It states that the expression a²-4 can be represented as the product of two binomials, (a+ 2) and (a-2).
This can be visualized as the graph of a parabola, where the x-intercepts of the parabola are -2 and 2. These are the solutions of the equation a²-4=0, which corresponds to the factorization of a²-4= (a+ 2)(a-2)
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What are the 13 types of angles?
There are several types of angles, including: acute angles, right angles, obtuse angles, straight angles, reflex angles, complementary angles, supplementary angles, adjacent angles, linear pair, vertically opposite angles, alternate interior angles, alternate exterior angles, and corresponding angles.
Acute angles: angles measuring less than 90 degrees.
Right angles: angles measuring exactly 90 degrees.
Obtuse angles: angles measuring greater than 90 degrees but less than 180 degrees.
Straight angles: angles measuring exactly 180 degrees.
Reflex angles: angles measuring greater than 180 degrees but less than 360 degrees.
Complementary angles: two angles that add up to 90 degrees.
Supplementary angles: two angles that add up to 180 degrees.
Adjacent angles: two angles that share a common vertex and a common side but no common interior points.
Linear pair: two angles that add up to 180 degrees and share a common side.
Vertically opposite angles: two angles formed by two intersecting lines that are opposite to each other.
Alternate interior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and inside the parallel lines.
Alternate exterior angles: two angles formed by two intersecting lines that are on opposite sides of the transversal and outside the parallel lines.
Corresponding angles: two angles formed by two intersecting lines that are in the same relative position.
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A population of 1,800 cheetahs decreases by 8% per year. How many cheetahs will there be in the population after 13 years? Round your answer to the nearest whole number.
Answer:
1/2 of an answer is zero answer.
Step-by-step explanation:
Solve the system by graphing.
y=2x+6
y=−2x−4
Answer:
(-5/2, 1)
Step-by-step explanation:
i hope this helps :)
Let ABC be a triangle, and
M, N, and K represent the midpoints of sides AB, BC, and AC respectively.
If area of the triangle ABC is 6.0 square feet, then what is the area of the triangle MAK?
Step-by-step explanation:
please refer to the sketch
find the area of the figure below:
Answer:
60.75 m^2
Have a great day
Helen delivers parcels on tuesday helen delivered 20% more parcels than on monday.
On Wednesday, helen delivered 50% fewer parcels than on Tuesday.
On Wednesday, helen delivered 72 parcels
calculate the number of parcels that helen delivered on monday
So the number of parcels that Helen delivered on Monday is 120 parcels.
Define Percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Proportion.An equality of two ratios is a percentage. We use proportions to construct comparable ratios and find solutions to problems involving unknown numbers.
If on Wednesday Helen delivered 50% fewer parcels than on Tuesday, then on Tuesday Helen delivered 72 / (1 - 0.5) = 72 * 2 = 144 parcels.
On Tuesday Helen delivered 20% more parcels than on Monday, so the number of parcels Helen delivered on Monday is (144 / 1.2) = 120
So Helen delivered 120 parcels on Monday.
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Can u please help me with this question.
Answer:
you can use compass to make straight line
Find the value of x.
Answer:
35
Step-by-step explanation:
x + 55 = 90
x = 90 - 55
x = 35
Select the correct answer.
How many solutions does this system of equations have?
y = 12 + 1 + 3
y = -2r – 5
OA.
no solution
OB.
1 solution
O C.
2 solutions
OD. 3 solutions
Answer:
1 solution
Step-by-step explanation:
y=16, r=-21/2
This system of equations have no solution, the correct option is A.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree. A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
We are given that;
y = 12 + 1 + 3
y = -2r – 5
Now,
We can simplify the first equation by adding 12 + 1 + 3 to get y = 16. Then we can compare the coefficients of r and y in both equations.
We can see that the coefficients of r are different (-2 and 0), but the coefficients of y are the same (1 and 1).
This means that the graphs of the equations are parallel lines with different y-intercepts (16 and -5).
Therefore, the answer will be the system of equations has no solution.
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How many times smaller is 2.7 x 10^3 than 5.481 x 10^5?
Function: This means that 2.7 x 10^3 is about 201.593 times smaller than 5.481 x 10^5. This can also be expressed as 0.049 or 4.9%.
What is function?A function is a mathematical relation between two sets of values, usually between an input and an output. It can be thought of as a machine that takes a certain input and produces a certain output.
2.7 x 10^3 is about 0.049 times smaller than 5.481 x 10^5.
To determine this, we can divide the two numbers. 5.481 x 10^5 divided by 2.7 x 10^3 equals about 201.593.
This means that 2.7 x 10^3 is about 201.593 times smaller than 5.481 x 10^5. This can also be expressed as 0.049 or 4.9%.
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I need answers for A -F
Answer:
A. 103º
B. 96º
C. m<4 = m<10
D. m<1 = m<16
E. m<5 = m<13
F. m<14 + m<15 = 180º
(Not entirely sure for C-F... But I hope this helps!)
Which description represents this equation? 7x-2=33
Answer:
Step-by-step explanation:
pull up in a monsta automobile gangsta
Answer:
7x = 33+2
7x = 35
x = 5
Step-by-step explanation:
A SIMPLE EQUATION
The average rate of change from hour 4 to 8
18
4 points
Damien wants to go fishing on the lake. He can rent gear for $20 and the boat will cost $12 per hour. He only has $78 to spend, so what is the maximum number of
hours (full hours) that he can afford to fish?
Answer:
4 hours
Step-by-step explanation:
Let x = hours
$78 = $20 + $12x
collect like terms
78 - 20 = 12x
58 = 12x
x = 4.8 hours
the maximum hours is 4 hours
Arcs and Angles Gina Wilson
Step-by-step explanation:
In short, they become Martians. Five years later, the war on Earth ends, and a new ship travels through space, its mission being to save the Earthmen stranded on Mars. Much to the surprise of the rescue team, no Earthmen are to be found — only Martians, who have a great affinity for the English language.
hope it help
Simplify the expression: 8(3y + 5) - 5
24y + 35
24y - 45
24y
24y + 80
Answer:
24y + 35
Step-by-step explanation:
Hey there!
8(3y + 5) - 5
= 8(3y) + 8(5) - 5
= 24y + 40 - 5
= 24y + 35
Therefore, the answer is:
Option A. 24y + 35
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
6) The area of a triangle is A = bh-2. If the base (b) is H untis and the
height (h) Is 7 units, what is the area of the triangle?
I
Answer:
The area of a triangle can be calculated using the formula A = 1/2 * b * h, where b is the base and h is the height of the triangle. In this case, if the base of the triangle is H units and the height is 7 units, the area of the triangle would be A = 1/2 * H * 7 = 3.5 * H.
Step-by-step explanation:
Whats the answer to the equation
(-7.14) + (-5.2)
The answer to the addition equation (-7.14) + (-5.2) = -12.34
What is addition?Addition is a mathematical operation in which two numbers are combined together using the addition symbol, +.
What is the answer to the given equation?Since we have the equation (-7.14) + (-5.2), we desire to add both numbers together. We proceed to add the two numbers as follows.
(-7.14) + (-5.2) = -7.14 - 5.2
= -12. 34
So, we see that the answer to the addition equation (-7.14) + (-5.2) = -12.34
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The graph of function f is shown. An exponential function with vertex at (1, 3) and passes through (minus 2, 10), (8, 2) also intercepts the y-axis at 4 units. Function g is represented by the equation. g ( x ) = 4 ( 1 4 ) x + 2 Which statement correctly compares the two functions? A. They have the same y-intercept but different end behavior. B. They have different y-intercepts and different end behavior. C. They have the same y-intercept and the same end behavior. D. They have different y-intercepts but the same end behavior.
Answer:
Without being able to see the graph, it is not possible for me to accurately compare the two functions. Is it possible for you to provide more information about the functions or the graph?
Answer:
Step-by-step explanation:
graph please
Select the linear function from the following:
Select one:
a.
− 3 / x + y / 7 = 11
b.
− x / 3 + 7 / y = 11
c.
− x / 3 + y / 7 = xy
d.
− x / 3 + y / 7 = 11
The linear function in the option is − x / 3 + y / 7 = 11.
How to know linear function?A linear function is a function that represents a straight line on the coordinate plane.
Linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptTherefore, let's select the linear function from the options:
− 3 / x + y / 7 = 11
-3x⁻¹ + 1 / 7 y = 11 (Not a linear function)
− x / 3 + 7 / y = 11
- 1 / 3 x + 7y⁻¹ = 11 (Not a linear function)
− x / 3 + y / 7 = xy (Not a linear function)
− x / 3 + y / 7 = 11
- 1 / 3 x + 1 / 7 y = 11 (This is the linear function)
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What do you get when you subtract 3xy from 5 by?
When we subtract 3xy from 5 we will get 3xy - 5.Both are different 3xy is a polynomial in xy and 5 is a constant we can not simplify further.
First, let's try to learn subtraction in the case of polynomials.
3xy is a polynomial.
5 is a constant.
Polynomials can be subtracted using a method that involves changing the signs to the opposite sign. The process resembles adding polynomials. Depending on the specific equation, we transform the sign while subtracting polynomials to either positive or negative. Learn more about subtracting polynomials, their techniques, procedures, and examples by reading on.
For instance, subtract 5x + 8y - 20z from 4x - 10y + 15z.
The polynomials should first be arranged in standard form. In this illustration, it has already been set up.
Place them horizontally in step two.
(4x - 10y + 15z) - (5x + 8y - 20z)
Step 3: By using parenthesis, modify the second polynomial's sign.
4x-10y-15z, and 5x+8y 20z
Step 4: Group terms that are similar together.
4x - 5x - 10y - 8y + 15z + 20z
Step 5: Resolve the problem
-x - 18y + 35z
As a result, we get -x - 18y + 35z when we subtract 4x - 10y + 15z from 5x + 8y - 20z.
In the same way, if we subtract 3xy from 5 we will get 3xy - 5.
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Hexagon K is a scaled copy of Hexagon J
The scale factor 5/2 takes hexagon J to hexagon K.
What is Hexagon?A hexagon or sexagon in geometry is a six-sided polygon or 6-gon that forms the shape of a cube. Any basic hexagon has 720° in total internal angles. No matter the type of hexagon, all of them have six sides. As a result, all types of hexagons—regular, asymmetrical, concave, and convex—have six sides. The hexagon, which has six sides mathematically, is particularly intriguing because it covers a plane with units of equal size and leaves no empty space. Because of its 120-degree angles, hexagonal packing also reduces a given area's perimeter.Hexagon AB, a leader in virtual reality hardware and software, was founded in 1992 and is a publicly traded, multinational information technology business with its headquarters in Stockholm, Sweden. Hexagon's B share is listed among the top firms by the Stockholm Stock Exchange.From the given two Hexagon's K and L, the Hexagon K is copy to Hexagon K.
The scale factor = the ratio of edges
Scale factor = 20/8 = 30/12 = 5/2
Hence, the scale factor 5/2 takes hexagon J to hexagon K.
Complete question:
Complete question is attached below.
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Charlotte has a loyalty card good for a 14% discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is c, which expression represents the cost after the discount?
The expression that represents the cost after the discount is
y(c) = (7/50)c
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Charlotte has a loyalty card good for a 14% discount at her local grocery store.
Let the total cost, before tax and discount, of all the items she wants to buy is {c}. Now, let the expression that represents the cost after the discount is given by y(c). We can write -
y(c) = 14% of c
y(c) = (14/100) x c
y(c) = (7/50)c
Therefore, the expression that represents the cost after the discount is
y(c) = (7/50)c.
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What is the length of leg y of the right triangle?
Answer:
4
Step-by-step explanation:
Can someone help me please?
Answer:
(-3, -2)
Step-by-step explanation:
Notice how the lines intersect? that exact point is the solution.
please help me I don't get it
Answer:
The answer is a 2
Step-by-step explanation:
Is a 2 because the point 1 is a 2 line
Answer:
there is one side that is in the negative and then the other side is in the positive side
Step-by-step explanation:
What will make the expression x² 4x+ a perfect square trinomial?
In order for an expression, such as x² + 4x + , to become a perfect square trinomial, it must be in the form of a² + 2ab + b².
What is perfect squares?Perfect squares are whole numbers that are the result of multiplying a given number by itself. For example, 4 is a perfect square because it is the result of multiplying 2 by itself. Similarly, 9 is a perfect square because it is the result of multiplying 3 by itself. Other examples of perfect squares include 16 (4x4), 25 (5x5), 36 (6x6), and so on.
To do this, you must factor the expression. In this case, the expression can be factored into (x + 2)².
Once the expression has been factored into a perfect square trinomial, it can be written as (x + 2)².
This is a perfect square trinomial because it represents the area of a square, as the length of each side is equal to (x + 2).
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A study of teenage drivers found that 63% text while driving and 30% have a car accident in their first year of driving. 21% of teenage drivers text while driving AND have a car accident in their first year.
Find the probability that a teenager gets into an accident in the first year of driving, given that he or she texts while driving. Round your answer to the nearest hundredth.
Answer:
33.33%
Step-by-step explanation:
63% of teenage drivers text while driving
21% of teenage drivers text while driving and have car accident in their first year
This means that a third of teenage drivers that text while driving get involved in a car accident during their first year, 33.33% is the probability then
What is the volume?
Find the volume?
V≈565.49 Step-by-step explanation:
the formula for volume is PI x Raadius squared x Highth