In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
initial money = $8
final money = $11
percent of change = ?
Step 02:
percent of change
percent of change = ( final money - initial money ) / initial money * 100
= ( 11 - 8 ) / 8 * 100
= 3/8 * 100
= 0.375 * 100 = 37.5 %
The answer is:
The percent of change is 37.5 %
Beau spends €15000 buying computer
materials for his office. Each year the
material depreciates by 12%.
a Find the value of the material after three
years.
b Find how many years it takes for the
materials to be worth €5 000.
Answer:
First, you must specify if the depreciation is simple or compound
What is two divided by three I’ve two
Answer:
2 divided by 3 is 0.6 or 2/3
Step-by-step explanation:
Answer:
2/3 or 0.66666666667...
Is the following statement true or false?
Why can't I see my answer?
An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in aprofit of $50,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if theeconomy goes into recession, the investment will result in a loss of $50,000. You contact an economist who believes there is a 20%probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 20% probability theeconomy will slip into recession. What is the expected profit from this investment?The expected profit is $(Type an integer or a decimal.)
Answer:
6000
Explanation:
The expected profit from the investment can be calculated as the multiplication of each possible profit or loss by their respective probability.
Therefore, the expected profit is equal to:
E = 50,000(0.2) + 10,000(0.6) + (-50,000)(0.2)
E = 10,000 + 6,000 - 10,000
E = 6,000
Because there is a 20% of probability to win $50,000 (economy remain strong), there is a 60% of probability to win $10,000 (economy grows at a moderate pace), and there is a 20% of probability a loss of $50,000 (the economy goes into recession).
Therefore, the expected profit from this investment is:
6000
Jessica is trying to save money to set aside for emergencies. she already has $75 and she earns $9 per hour at her family job. how many hours will she need to work to earn at least $500?
Answer:
Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted. The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.
Step-by-step explanation:
The question is difficult to answer. It doesn't specify that the $75 counts agains the $500. It simply asks how many hours of work does she need to earn $500.
Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula: x hours at :
y = ($9/hr)*x
If we set y = $500:
$500 = ($9/hr)*x
x = $500/($9/hr)
x = 55.56 hours.
However, if we set y = $500 - $75, the Jessica only needs to work:
$425 = ($9/hr)*x
x = $425/($9/hr)
x = 47.222 hours
a road running north to south crosses a road going east to west at the point pp. cyclist aa is riding north along the first road, and cyclist bb is riding east along the second road. at a particular time, cyclist aa is 3939 hundred meters to the north of pp and traveling at 3232 meters per second, while cyclist bb is 5252 hundred meters to the east of pp and traveling at 2424 meters per second. how fast is the distance between the two cyclists changing? the distance between the two cyclists is increasing by 1925 meters per second.
The distance between the two cyclists changing exists 38.4 meters per second.
What is meant by differential equation?A differential equation in mathematics exists an equation that links the derivatives of one or more unknown functions. Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.
A differential equation in mathematics is an equation that includes one or more functions and their derivatives. The rate of change of a function at a place is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others.
There exists at least a couple of ways to work this. One exists to write the equation for the distance between the cyclists and differentiate it.
d² = (3900 + 32t)² + (5200 + 24t)²
simplifying the above equation, we get
(2d)d/dt = 2(3900 + 32t)(32) +2(5200 + 24t)(24)
At t = 0,
dd/dt = (32·3900 + 24·5200)/√(3900² + 5200²)
simplifying the above equation, we get
= (124800 + 124800)/√(15210000 + 27040000)
= 249600/6500 = 38.4 meters per second
Therefore, the distance between the two cyclists changing exists 38.4 meters per second.
The complete question is:
A road running north to south crosses a road going east to west at the point P. Cyclist A is riding north along the first road, and cyclist B is riding east along the second road. At a particular time, cyclist A is 39 hundred meters to the north of P and traveling at 32 meters per second, while cyclist B is 52 hundred meters to the east of P and traveling at 24 meters per second. How fast is the distance between the two cyclists changing?
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Translate the sentence into an inequality. A number b increased by 6 is less than or equal to -23. please help asap its due tomr
Answer: b+6 (less or equal to sign) -23
Step-by-step explanation: b increased by 6 is b+6
Answer: b+6[tex]\leq[/tex]-23 b[tex]\leq[/tex]-29
Step-by-step explanation:
If there are 20 cookies and 40 carrot each number are the same number of one whole cookies how many cost members might have been at the party,explain
2, 4, 5, 10 and 20 cast members were possible attendees at the celebration.
The acting teacher provided 20 biscuits and 40 carrot sticks as refreshments in light of this.
What are the factors?
A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.
2, 4, 5, 10, and 20 make up the factors of 20 and 40.
Additionally, the number of cast members must be greater than one and a divisor of 20 and 40.
Therefore, there could be 2, 4, 5, 10, or 20 cast members.
Therefore, 2, 4, 5, 10 and 20 cast members may have attended the celebration.
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What is the value of x?
Answer:
5
Step-by-step explanation:
12 is 150% of what number
To get 150% of a given number x, we multiply it by 1.5
This way, we'll have that:
[tex]1.5x=12[/tex]Solving for x,
[tex]1.5x=12\rightarrow x=\frac{12}{1.5}\rightarrow x=8[/tex]Therefore, we can conclude that 12 is 150% of 8
6 divided by 396 long divison attatch work !
Please help me find this
Center of circle = (-3, 6)
Diameter = 6
General equation of circle: x² + y² = r²
our answer will be in the form:
(x+a)² + (y+b)² = r²
Substitute center values and radius:
a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)
b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)
r = 6/2 which is 3
answer: (x+3)² + (y-6)² = 3²
A. Find the equation of the L line that intersects graph C at point A (2, -5). B. Find the line equation with the coefficient of direction equal to -10 and touch and graph C
Graph C has a function
[tex]f(x)=2x^3-16x+11[/tex]Since the line L intersects the graph at the point, A (2, -5)
To find the slope of the line we will differentiate the f(x) and substitute x by 2
[tex]\begin{gathered} f^{\prime}(x)=2(3)x^{3-1}-16x^{1-1}+0 \\ f^{\prime}(x)=6x^2-16 \\ m=6(2)^2-16 \\ m=24-16 \\ m=8 \end{gathered}[/tex]The slope of the line is 8, substitute it in the form of the linear equation
[tex]\begin{gathered} y=mx+b \\ y=8x+b \end{gathered}[/tex]To find b substitute x by 2 and y by -5
[tex]\begin{gathered} -5=8(2)+b \\ -5=16+b \end{gathered}[/tex]Subtract 16 from both sides to find b
[tex]\begin{gathered} -5-16=16-16+b \\ -21=b \end{gathered}[/tex]Then the equation of the line is
[tex]\begin{gathered} y=8x+(-21) \\ y=8x-21 \end{gathered}[/tex]ax^2 + bx + c (a in not equal to 0) is a ____?____Select one:a. Quadraticb. Vertexc. Domaind. None of the above
We have the following expression
[tex]ax^2+bx+c[/tex]This can't be a vertex, since, in geometry, a vertex is a point where two or more elements meet.
A domain is not either, since, in mathematics, the domain of a function is the set of the existence of itself, that is, the values for which the function is defined.
The Standard Form of a Quadratic Equation looks something like this:
[tex]ax^2+bx+c=0[/tex]Where a, b, and c are known values and a cannot be 0.
In conclusion, the answer is that is a Quadratic
Solve for a, b, and c
Applying the law of indeces for the fraction with radicals, the value of A=3, b=14 and c=-5
What are radicals?In mathematics, the term radical expressions such that contain a square root. In this question, we have fractions at both sides of the equation with radicals.
To solve this question, let's see some laws below that will help us:
[tex] \sqrt[x]{a} = {a}^{ \frac{1}{x} } [/tex]
[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]
[tex] \frac{1}{ {a}^{x} } = {a}^{ - x} [/tex]
From the given equation; the left hand side will be simplified as follows;
[3^(1/7)]÷[3^(1/2)]=[3^[(2-7)/14]=3^(-5/14)
And the right hand side will be simplified as follows;
1÷[A^(c/b)]=A^-(c/b)
Hence, by comparing both sides of the equation after simplifying the fractional radicals, the value of A is 3, b is 14 and c is -5.
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Estimate 81.244.+65.33 by first rounding each number to the nearest whole number
If we round 81.244 to the nearest whole number then it would be 81.
For 65.33 is 65. Then, we sum.
[tex]81+65=146[/tex]Hence, the answer is 146.The cost to rent a paddle boat at the country park is $8 per hour plus a non-refundable deposit of $10. The cost can be modeled by the function f(h) = 8h + 10, where h represents the number of hours the boat is rented. Describe the graph g(h) as it relates to f(h) if the non-refundable deposit increases to %15. PLEASEE HELPP!!
The relationship between the graph of f(h) and graph of g(h)
Both graphs have same slope of 8The y intercept of f(h) = 10The y intercept of g(h) = 11.5both graphs are straight line graph representing linear functions.What is a graph ?A graph is a pictorial representation of information
How to find the increment in the non refundable depositThe difference in the two graphs is the part of the non refundable deposit which will affect the intercept.
In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%
The increment is solved below
solving the percentage increased
15% of $10 = 0.15 * 10 = $1.5
adding to the initial deposit
10 + 1.5 = 11.5
g(h) = 8h + 11.5
The graph of g(h) will have same slope as graph of f(h) which is 8
The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10
both graphs will form parallel lines
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The midpoint of AB is M(0, -7). If the coordinates of A are (-2,-6), what arethe coordinates of B?Answer:Submit AnswerPASSA
Explanation:
The coordinates are given below are
[tex]\begin{gathered} A(-2,-6) \\ M(0,-7) \\ B=(x,y) \end{gathered}[/tex]The image is given below as
To calculate the coordinate of A,we will use the formula below
[tex]M=\frac{(x_1+x_2}{2},\frac{y_1+y_1}{2})[/tex]By substituting the values, we will have
[tex]\begin{gathered} M=\frac{x_1+x_2}{2},\frac{y_{1}+y_{1}}{2} \\ (0,-7)=\frac{-2+x)}{2},(\frac{-6+y}{2}) \\ \frac{-2+x}{2}=0,\frac{6+y}{2}=-7 \\ -2+x=0,6+y=-14 \\ x=2,y=-14+6 \\ x=2,y=-8 \end{gathered}[/tex]Hence,
The coordinate of B will be
[tex]B=(2,-8)[/tex]the difference between 5 more than x and twice x is 17
Answer:
x = -12
Step-by-step explanation:
Hello!
The sentence can be represented as (x + 5)-(2x) = 17.
We can solve for x by isolating the variable.
Solve for xx + 5 - 2x = 17-x + 5 = 17-x = 12x = -12The value of x is -12.
I need explanation with this problem been struggling and it's practice for my exam coming up this semester
The first part of the journey took 4/3 hours (80 minutes)
The last part of the journey too 2/3 hours (40 minutes)
Here, we want to set-up equations to solve
We start by filling the table
Line 1
The rate for the first part of the race is 90 mph
The time for the first part of the race is F
Line 2
The time for the second part of the race is L
The distance (product of the rate and time) is 60L
So, adding these up give us the following equations to be added and solved below;
[tex]\begin{gathered} f\text{ + l = 2} \\ 90\text{ f + 60l = 160} \end{gathered}[/tex]So, we proceed to solve these equations simultaneously
[tex]\begin{gathered} \text{from equation i, f = 2-l} \\ \text{substitute this into i}i \\ 90(2-l)\text{ + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-160} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30} \\ \\ l\text{ = }\frac{2}{3}\text{ hours} \end{gathered}[/tex]To get f, we simply substitute l into the first part of the equations;
[tex]\begin{gathered} \text{from; f = 2-l} \\ \\ f\text{ = 2-}\frac{2}{3} \\ f\text{ = }\frac{4}{3}\text{ hours} \end{gathered}[/tex]Since an hour is 60 minutes;
[tex]\begin{gathered} l\text{ = }\frac{2}{3}\times\text{ 60 = 40 minutes} \\ \\ f\text{ = }\frac{4}{3}\times60\text{ = 80 minutes} \end{gathered}[/tex]you play a casino game until you win for the first time. on average, you win for the first time on the 11th game played. what is the probability of winning the game? round your answer to three decimal places.
The probability of winning the game is 1/11.
what is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.
Given:
If we win the first time on the 11th game played.
So, we can consider the total is 11.
So, the probability of winning the game
= 1/11
Hence, the probability of winning the game is 1/11.
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5. Estimation What is the greatest possible integer solution of the inequality
3.806x< 19.902?
The greatest possible integer of the inequality is 19.902.
What is the inequality?
In mathematics, inequalities specify the relationship between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equal. But various inequalities are used to compare the values, as to if it is less than or greater than. The different inequality symbols, properties, and methods for resolving linear inequalities inside one variable and two variables will all be covered in this article along with examples.
Given that,
3.806< 19.902
In which, less than inequality is used.
The given numbers are in decimal form.
comparison be between the given numbers and check which one is greater.
3.806< 19.902
19.902 is the greater than 3.806
Hence, the greatest possible integer is 19.902.
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What is the value of this expression.
this is the answer to your equation hope it helps thanks
Answer:
D. [tex]\dfrac{27}{4}\\\\[/tex]
Step-by-step explanation:
[tex]\mathrm{With\;x=\dfrac{1}{8}\;and\;y = \dfrac{3}{16}\;we\;get}\\\\[/tex]
[tex]2\left(\dfrac{1}{8}+4\right)-\left(\dfrac{3}{16}\cdot 8\right)\\\\[/tex]
[tex]\mathrm{Calculate\:within\:parentheses}\:\left(\dfrac{1}{8}+4\right) = \dfrac{1}{8}+\dfrac{32}{8}} = \dfrac{33}{8}\\\\[/tex]
[tex]2\left(\dfrac{1}{8}+4\right) = 2\cdot \dfrac{33}{8} = \dfrac{33}{4}[/tex]
[tex]y \cdot 8 = \dfrac{3}{16} \cdot 8} = \dfrac{3}{2}\\\\[/tex]
So
[tex]2(x + 4) - y\cdot 8 = \dfrac{33}{4} - \dfrac{3}{2}\\\\\\= \dfrac{33-6}{4}\\\\= \dfrac{27}{4}\\\\[/tex]
Which expression is equivalent to 4x - 2y = 6
Answer:
2y-4x=6
Step-by-step explanation:
it can be correct i dk
What is the effect on the graph of f(x) = 1/xwhen it is transformed to
g(x) = 1/x + 17?
OA. The graph of f(x) is shifted 17 units to the left.
OB. The graph of f(x) is shifted 17 units up.
OC. The graph of f(x) is shifted 17 units down.
O D. The graph of f(x) is shifted 17 units to the right.
The correct option is option B that is "The graph of f(x) is shifted 17 units up". It is shifted 17 units up. By adding 17 to the equation, y increases by 17. If y increases by 17, the graph shifts up by 17.
What is graph?In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to connected and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other types of graphs.
What is transformation in graph?The process of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the modification of algebraic equations, it is a typical kind of algebraic problem.
It is shifted 17 units up.
By adding 17 to the equation, y increases by 17.
If y increases by 17, the graph shifts up by 17.
Option B, "The graph of f(x) is shifted 17 units up," is the answer. It is moved upward 17 units. Adding 17 to the formula causes y to rise by 17. The graph moves up 17 units if y rises by 17.
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are the figures similar why or why not?
Answer: Yes
Step-by-step explanation:
because their overall shape it the same, their size is the only thing that sets them apart, so they're not identical
4 Which statement about the expression -4/9 x - 3/8 is true? 9 A. The product is greater than 1. B. The product is less than both factors. C. The product is less than D. The product is a positive number.
Given data:
The given expression is -4/9 x=3/8
The given expression can be written as,
[tex]\begin{gathered} -\frac{4}{9}x=\frac{3}{8} \\ x=-\frac{27}{32} \end{gathered}[/tex]The product is less than both the factors.
Thus, option C) is correct.
Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)
Answer:
f(1) = 15
f(-9) = -65
f(0) = 7
Step-by-step explanation:
f(1) = 8(1) + 7
f(1) = 8 + 7
f(1) = 15
f(-9) = 8(-9) + 7
f(-9) = -72 + 7
f(-9) = -65
f(0) = 8(0) + 7
f(0) = 7
f(x)=|x+3| vertical stretch by factor of 4
The image of the function after it is vertically stretched is f'(x) = 4|x + 3|
How to determine the equation of f(x) after the transformation?The function is given as
f(x) = |x + 3|
The transformation is given as
Vertical stretch by a factor of 4
This implies that we stretch the function f(x) by a factor of 4
This transformation is represented mathematically as
(x, y) = (x, 4y)
So, we have
f'(x) = 4 * f(x)
So, we have the following equation
f'(x) = 4 * (|x + 3|)
Remove the bracket
So, we have
f'(x) = 4 * |x + 3|
Evaluate the products
So, we have
f'(x) = 4|x + 3|
Hence, the equation of f'(x) is f'(x) = 4|x + 3|
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