The amount of interest earned is $5,400
From the question,
We are to calculate the simple interest earned
Interest can be calculated by using the simple interest formula
I = PRT
Where I is the interest
P is the principal
R is the rate
T is the time
From the question
P = $12,000
R = 15%
T = 3 years
∴ Interest,
I = $12000 × 15% × 3
I = $12000 × 0.15 × 3
∴ I = $5400
Hence, the amount of interest earned is $5,400
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93 /100 converted to percent equals? ...?
Dion practiced the long jump . he jumped 3.05 meters,2.74 meters and 3.3 meters.what was the average length of dion's jumps?
Each ratio in simplest form 16:40
A candy company used 8 gallons of syrup to make 4 batches of candy. what is the rate of syrup per batch.
The maximum gas mileage for a compact car is estimated using the graph shown below.
The average gas mileage for an SUV is modeled by the function m(s)=−0.015(s−55)2+15, where s is the SUV's speed in miles per hour.
The difference in maximum mileage between these two vehicles is _____ mpg (miles per gallon).
Enter the number that correctly fills in the blank in the previous sentence.
What are the factors of 86?
which of the following functions is graphed below??
Without seeing the actual graph, it's impossible to provide an accurate response. However, several common types of function graphs have been described.
Explanation:Unfortunately, without seeing the graph in question, it is not possible to provide an accurate response to your question regarding which function is graphed. However, we can discuss what a few different types of common functions might look like.
A straight line with a positive slope from the lower left to the upper right indicates a direct relationship between x and y values, such as y = x or y = 2x + 1.
A curved graph that resembles a U shape either upright or upside down might suggest a quadratic function such as y = x^2 or y = -x^2.
As for time-graphs, the gradient of a velocity-time graph gives acceleration, while the area under the velocity-time graph gives displacement. The gradient of a position-time graph gives velocity.
Supply and demand curves are graphs used in economics. The supply curve typically slopes upward, and the demand curve usually slopes downward.
Without seeing the actual graph or having more details, this is the best general information that can be provided.
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The piecewise-defined function that is graphed below include the following: D. [tex]f(x)=\left\{\begin{array}{Ir}x^3-3, & x \leq 2\\x^2+6, & x > 2\end{array}\right[/tex]
In Mathematics and Euclidean Geometry, a piecewise-defined function is a type of function that is defined by two or more mathematical expressions over a specific domain.
Note: The inequality symbol < or > represents a hollow dot (circle).
The inequality symbol ≤ or ≥ represents a solid dot (circle).
Generally speaking, the domain of any piecewise-defined function is the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, there is a solid circle above 2 that decreases to the left and a hollow circle above 2 that increases to the right.
In this context, the piecewise-defined function is defined over the following domains;
Domain = x ≤ 2, for [tex]f(x) = x^3 - 3[/tex].
Domain = x > 2, for [tex]f(x) = x^2+6[/tex].
Complete Question:
Which of the following functions is graphed below?
When the function below is graphed, how many x-intercepts does it have? y = 2x2 - 8x + 5
Answer:
2.
Step-by-step explanation:
Please find the attachment.
We have been given a function formula [tex]y=2x^2-8x+5[/tex]. We are asked to determine the number of x-intercepts that our function could have by graphing.
Since our given function is a quadratic function, so it could have at-most two x-intercepts as it will cross x-axis at-most two times.
Upon looking at our attached graph we can see that our given function crosses x-axis at two points, therefore, our given function has two x-intercepts.
explain the difference between 1/(sinx) and ((sin^-1)x) ...?
Write the equation y-2=6x 3 in y mx b form
Final answer:
The equation y - 2 = 6x is rewritten in the y = mx + b form by simply adding 2 to both sides resulting in y = 6x + 2, where 6 is the slope and 2 is the y-intercept.
Explanation:
The equation y - 2 = 6x is not fully written in the y = mx + b form, which is the standard form of a linear equation where m represents the slope and b represents the y-intercept. To convert the given equation into the y = mx + b form, we need to isolate y on one side of the equation.
First, we will add 2 to both sides of the equation:
y - 2 + 2 = 6x + 2
Which simplifies to:
y = 6x + 2
Now we have written the equation in the desired form, with m = 6 and b = 2. This linear equation represents a line with a slope of 6 and a y-intercept at (0, 2). Graphically, the line can be plotted using these values, and a table of points can be created by plugging various x values into the equation.
simplify completely ((x2-4x+4)/(x2+10x+25)) x ((x+5)/(x2+3x-10)) ...?
Factorize the given complex expression first into simpler terms (x-2)^2, (x+5)^2 and (x-2)(x+5). After canceling the matching terms, you simplify to get (x-2)/(x+5)
Explanation:This mathematical question involves the simplification of a fractional expression. The problem can be solved with factoring and canceling out matching terms found in both the numerator and denominator. Step by step solution would be:
((x2-4x+4) can be factored into (x-2)^2.
(x^2+10x+25) can be factored into (x+5)^2.
(x^2+3x-10) can be factored into (x-2)(x+5).
Thus, the whole equation will be converted into
((x-2)^2 / (x+5)^2) x ((x+5) / (x-2)(x+5)).
Cancel (x+5) and (x-2) from the numerator and denominator, which leaves:
(x-2)/(x+5).
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Which set of line segments with the given lengths can be formed into a right triangle?
24,30,35
12,18,30
18,24,30
18,24,35 ...?
Answer:
there right
Step-by-step explanation:
Find the sum or difference write the answer in simplest form 3/10 4/10=
What is the length of the hypotenuse of the right triangle that has a base of 5 inches and a height of 12 inches?
What is the slope of a line perpendicular to the line with equation y = 4x + 5?
-1/4
–4
4
–5
Name the property of equality that justifies: (I have to put question into an equation below because I can't get it in this question without it being confusing)
A. Addition Property of Equality
B. Subtraction Property of Equality
C. Multiplication Property of Equality
D. Division Property of Equality
If:
m
then
5×m
Identify the variation as direct, inverse, joint or combined.
The cost of the number of the same articles purchased varying with the number purchased.
a.direct
b.inverse
c.joint
d.combined ...?
Answer:
The statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .
Option (a) is correct .
Step-by-step explanation:
Definition of the direct variation
When two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
i.e
[tex]x \propto y[/tex]
x = ky
As the x increases than y is also increase .
As given the statement in the question
The cost of the number of the same articles purchased varying with the number purchased.
i.e
As the number of purchased article increases thus cost of the articles also increases .
Therefore the statements " cost of the number of the same articles purchased varying with the number purchased' shows direct variation .
Option (a) is correct .
which expression equivalent to k^1/4 · cubed root of k^2
If segment UV is considered to be the base of parallelogram TUVW, which segment would represent the altitude of the parallelogram?
segment TU
segment TX
segment WT
segment WV
PLEASE HELP ...?
At president bush's inauguration in 2005, the newspaper headline stated there were about 400,000 people in attendance at the newspaper rounded to the nearest 10,000 what is the largest number and smallest number of people who could have been there
Answer:
At president bush's inauguration in 2005, the newspaper headline stated there were about 400,000 people in attendance.
Now, rounding to nearest ten thousand the greatest number will be: 404999.
And the smallest number will be : 395000
So, the largest number of people who could have been here is 404999.
And the smallest number of people who could have been here is 395000.
What is the average rate of change for the sequence shown below?
coordinate plane showing the points 1, 4; 0.5, 3.5; 0, 3; and negative 0.5, 2.5
−2
−one half
1
2
Answer:
1
Step-by-step explanation:
Step 1: Select 2 points
(0,3) (0.5, 3.5)
x1,y1 x2,y2
Step 2: use average rate of change formula
[tex]\frac{y2-y1}{x2-x1}[/tex] = average rate of change
[tex]\frac{3.5-3}{0.5-0} =\frac{0.5}{0.5} =1[/tex]
Given: line DR tangent to Circle O.
If m angle C = 63°, then m angle BDR =
Answer:
m∠BDR=63°
Step-by-step explanation:
It is given that line DR tangent to Circle O and m∠BCD=63°, then the measure of the angle BDR can be determined as:
Since, angle BDR is made between the chord and the tangent, and we know that the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment, therefore
m∠BCD=m∠BDR=63°
Hence, the measure of angle BDR=63°.
The sides of the cubes are numbered 1 through 6. If they are both tossed, what is the probability that they will both be a 2?
Answer:
The answer is 1/36
Step-by-step explanation:
translate the following into interval notation: "The union of all numbers greater than eight, and less than or equal to negative four".
which value satisfies the inequality -2x + 8 + 5x > 2x + 1
The values which are greater than -7, satisfies the inequality -2x + 8 + 5x > 2x + 1.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given inequality is,
-2x + 8 + 5x > 2x + 1.
To find the value of x,
Simplify the inequality by using mathematical operations,
3x + 8 > 2x + 1
3x - 2x > 1 - 8
x > -7
The required solution for the given inequality is x > -7.
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What is the range of y = sin θ ?
Factorise 6p^2-5pq-6q^2
Find the measures of two angles, one positive and one negative, that are coterminal with pi divided by five. How do you do this? :/
number is a factor of 51?
A triangle has sides of length 3 cm and 10 cm. What can you say about the length of the third side?
The inequality that represents the third side of the triangle is the third side < 13.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.
Given, A triangle has sides of length 3 cm and 10 cm.
From the rule of the triangle, The sides of a triangle rule assert that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
thus, we can say that
third side < 10 + 3
third side < 13
Therefore, The inequality third side < 13 is used to represent the triangle's third side.
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Final answer:
Using the Triangle Inequality Theorem, the third side of a triangle with sides of 3 cm and 10 cm must be greater than 7 cm and less than 13 cm.
Explanation:
To determine the possible length of the third side of a triangle given two side lengths of 3 cm and 10 cm, we use the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, the third side must be longer than 7 cm (10 cm - 3 cm) but shorter than 13 cm (10 cm + 3 cm).