Look at the graph I added here
Which term is a word for an initial amount of money that is borrowed or invested?
time
principal
interest
interest rate
Answer:
principal is the correct answer
Step-by-step explanation:
principal is the correct answer
Answer:
Its b
Step-by-step explanation:
I took the test on edge 2020
Let A and B be events in a sample space S such that P(A) = 0.38, P(B) = 0.41 and P(A ∩ B) = 0.20. Find P(A | B).
a) 0.4878
b) 0.2532
c) 0.5263
d) 0.9268
e) 0.0244
The value of P(A | B) is a) 0.4878.
We have been given the following information:
A and B are events in a sample space S such that P(A) = 0.38, P(B) = 0.41, and P(A ∩ B) = 0.20.
We need to find P(A | B), which represents the probability of event A occurring given that event B has occurred.
The conditional probability formula states that P(A | B) = P(A ∩ B) / P(B).
By substituting the given values, we can calculate:
P(A | B) = 0.20 / 0.41 ≈ 0.4878.
Therefore, the value of P(A | B) is approximately 0.4878, which corresponds to option (a).
Hence, option (a) is correct.
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5 23 18 8 4 = 100 Order of Operations
Use only +, -, ( ), x, /
Answer:
200
Step-by-step explanation:
order of operations
Irene buys a talking doll for $10.66 and some batteries for $4.22. She pays with a $20 . Estimate how much change she should get, to the nearest dime.
help me answer this please for your points i reaaly dont know how to do this
Answer:
20
Step-by-step explanation:
if the cat is 8, and the parrot is 12 years older, then add the 12 to the 8 and you get 20 as the parrots age
3. Andre and Elena are saving money. Andre starts with $50 in his savings account and adds $5 per week. Elena starts with $5 in her savings account and adds $10 each week. a. After four weeks, who has more money in their savings account? Explain how you
In given word problem Andre has more money than Elena after four weeks.
What is word problem?
A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.
Here,
Initial investment of Andre= $50
She add $5 per week for next 4 weeks , then
=> 4×5 = $20
Then total savings of Andre = $50+$20=$70.
Now Initial investment of Elena = $5
She adds $10 for each 4 weeks then
=> 10×4=$40.
Now total savings of Elena = $40+$5=$45.
Here $70>$45.
Hence after 4 weeks Andre has more money than Elena.
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a boat's crew rowed 180 kilometers downstream, with the current, in 9 hours. The return trip upstream, against the current, covered the same distance, and it took 30 hours. Find the crew's rowing rate in still water.
The crew's rowing rate in still water is 13 km/h.
Let's assume the rowing rate of the boat in still water is denoted as "b" km/h, and the speed of the current is denoted as "c" km/h.
When the boat is rowing downstream, it benefits from the current, which increases its effective speed. The effective speed is calculated by adding the rowing rate in still water to the speed of the current:
Effective speed downstream = b + c
According to the given information, the boat covered 180 kilometers downstream in 9 hours. Therefore, we have the equation:
180 = (b + c) * 9
Simplifying the equation, we have:
(b + c) = 20 (Equation 1)
When the boat is rowing upstream, it has to overcome the current, which reduces its effective speed. The effective speed upstream is calculated by subtracting the speed of the current from the rowing rate in still water:
Effective speed upstream = b - c
Again, according to the given information, the boat covered 180 kilometers upstream in 30 hours. Therefore, we have the equation:
180 = (b - c) * 30
Simplifying the equation, we have:
(b - c) = 6 (Equation 2)
To find the crew's rowing rate in still water, we can solve the system of equations formed by Equations 1 and 2.
Adding Equation 1 and Equation 2:
(b + c) + (b - c) = 20 + 6
2b = 26
Dividing both sides by 2:
b = 13
Hence, the crew's rowing rate in still water is 13 km/h.
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how to solve (n^(3)+3n^(2)+3n+28)-:(n+4) in long polynomial division?
Answer:
Open the image. (Hope you don't mind about bad writing)
If Bob sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Best answer receives brainliest
Answer: $30
Step-by-step explanation:
So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30
(I'm assuming what you mean by "how much money he will have" is profit)
Answer:
The answer is $30. remove the decimal from the price and multiply it by the amount of fish. then when you finish multiplying add the decimal back in.
Step-by-step explanation:
125
× 24
--------
500
+ 2500
-----------
30.00
100 Points + Brainliest if correct and well explained:
A recent survey at a local recreation center reported that 79% of the participants played pickleball. Of those who play pickleball, 6% are female. Of those who do not play pickleball, 21% are male. Based on this information, construct a two-way relative frequency table. Round all values to the nearest whole percentage.
Male Female Total
Plays pickleball 77% 2% 79%
Does not play pickleball 6% 15% 21%
Column Totals 83% 17% 100%
Male Female Total
Plays pickleball 74% 5% 79%
Does not play pickleball 4% 17% 21%
Column Totals 78% 22% 100%
Male Female Total
Plays pickleball 75% 4% 79%
Does not play pickleball 4% 17% 21%
Column Totals 79% 21% 100%
Male Female Total
Plays pickleball 76% 3% 79%
Does not play pickleball 4% 17% 21%
Column Totals 80% 20% 100%
Answer:
\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}\)
Step-by-step explanation:
Create a blank frequency table:
\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & &\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)
If 79% of the participants played pickleball, then 21% of the participants do not play pickleball.
Input these percentages into the table:
\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & & & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)
Of those who play pickleball, 6% are female.
Therefore, of those who play pickleball, 94% must be male.
The total percentage of those who play pickleball is 79%, so find 6% and 94% of 79%:
\(\begin{aligned}\textsf{Plays pickleball (female)}&=6\% \; \sf of \; 79\%\\&=0.06 \times 0.79\\&=0.0474\\&=5\%\; \sf (nearest\;percent)\end{aligned}\)
\(\begin{aligned}\textsf{Plays pickleball (male)}&=94\% \; \sf of \; 79\%\\&=0.94 \times 0.79\\&=0.7426\\&=74\%\; \sf (nearest\;percent)\end{aligned}\)
Input the found percentages into the table:
\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball & & & 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&&& 100\%\\\cline{1-4}\end{array}\)
Of those who do not play pickleball, 21% are male.
Therefore, of those who do not play pickleball, 79% must be female.
The total percentage of those who do not play pickleball is 21%, so find 21% and 79% of 21%:
\(\begin{aligned}\textsf{Does not play pickleball (male)}&=21\% \; \sf of \; 21\%\\&=0.21 \times 0.21 \\&=0.0441\\&=4\%\; \sf (nearest\;percent)\end{aligned}\)
\(\begin{aligned}\textsf{Does not play pickleball (female)}&=79\% \; \sf of \; 21\%\\&=0.79 \times 0.21\\&=0.1659\\&=17\%\; \sf (nearest\;percent)\end{aligned}\)
Input the found percentages into the table and calculate the column totals:
\(\begin{array}{|l|c|c|c|}\cline{1-4} \vphantom{\dfrac12}& \sf Male & \sf Female & \sf Total\\\cline{1-4} \vphantom{\dfrac12}\sf Plays \; pickleball & 74\%& 5\% & 79\%\\\cline{1-4} \vphantom{\dfrac12}\sf Does\;not\;play\; pickleball &4\% & 17\%& 21\%\\\cline{1-4} \vphantom{\dfrac12}\sf Column\;Totals&78\%&22\%& 100\%\\\cline{1-4}\end{array}\)
Answer:
c
Step-by-step explanation:
i took the test :)
Given: w ∥ x and y is a transversal. Prove: ∠3 and ∠5 are supplementary. Parallel and diagonal lines w and x are cut by horizontal transversal y. On line w where it intersects with line y, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 1, 3, 4, 2. On line x where it intersects with line y, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 5, 7, 8, 6. Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are supplementary by the . By the , m∠3 + m ∠1 = 180. Now we can substitute m∠5 for m∠1 to get m∠3 + m∠5 = 180. Therefore, by the definition of supplementary angles, ∠3 and ∠5 are supplementary.
Answer:
1.Corresponding angles theorem
2.Linear postulate
3.By the definition of supplementary angles
Step-by-step explanation:
We are given that
\(w\parallel x \ and \ y\) is a transversal.
We have to prove \(\angle 3\) and \(\angle 5\) are supplementary
Proof:
1.Given that \(w\parallel x \ and \ y\) is a transversal.
We know that \(\angle 1\cong \angle 5\)
Reason:Corresponding angles theorem
Therefore, \(m\angle 1=m\angle 5\)
by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.
Therefore, they are supplementary by linear pair postulate
By the definition of supplementary angles
\(m\angle 3+m\angle 1=180^{\circ}\)
Now, we can substitute \(m\angle 5=m\angle 1\)
Then, we get
\(\m\angle 3+m\angle 5=180^{\circ}\)
Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary
Answer:
1. Corresponding angles theorem
2. Linear pair postulate
3. Definition of supplementary angles
Which ordered pair would be plotted by starting from the origin and moving 0. 25.
Depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).
To plot an ordered pair starting from the origin and moving 0.25, we need both an x-coordinate and a y-coordinate.
We are starting from the origin (0, 0), we can apply the movement of 0.25 to either the x-axis or the y-axis.
If we move 0.25 units on the x-axis, the x-coordinate of the ordered pair would be 0.25, and the y-coordinate would remain 0 since there is no movement on the y-axis. Therefore, the ordered pair would be (0.25, 0).
Similarly, if we move 0.25 units on the y-axis, the x-coordinate would remain 0 since there is no movement on the x-axis, and the y-coordinate of the ordered pair would be 0.25. In this case, the ordered pair would be (0, 0.25).
So, depending on whether the movement is along the x-axis or the y-axis, the ordered pair would be either (0.25, 0) or (0, 0.25).
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NEED ANSWER NOW FOR A TEST!!! Penny is building a shed. She wants to cover the triangular part of the front side with wood shingles. What is the area of the shed will be covered with wood shingles?
Formula for Area of Triangle: 1/2 (b x h)
Answer:
Hope the picture will help you......
The interior angles formed by the sides of a hexagon have measures that sum to 720°.
What is the measure of angle F?
Enter your answer in the box.
m∠F=
Answer:
Step-by-step explanation:
(x-60)+(x-20)+(x-40)+130+120+110=720
3X -120 + 360=720
3x +240= 720
3x= 720-240
3x=480
x= 480/3 = 160
x=160
angle F = (x-20)
angle F = 160-20=140
angle F = 140
The cost of a car rental is 40$ per day plus 20 cents per mile. You are on a daily budget of 92$. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget
Answer:
92-40=52
52/0.2 (0.2 = 20 cents) = 260
Step-by-step explanation:
260 is the greatest distance you can travel.
Please answer if you actually know.
Answer:
A is correct bro because W(work done)=F(force)*S(distance)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Use Laplace transform L t
to solve the following partial differential equation ∂t
∂w
+ ∂x
∂w
=0, and w(x,0)=x 2
,w(0,t)=5
The solution for W(x,s) can then be inverse Laplace transformed to obtain the solution for w(x,t).
What is partial differential equation?
A partial differential equation (PDE) is an equation that involves partial derivatives of a multivariable function. It relates the function, its partial derivatives, and the independent variables. PDEs are used to describe various phenomena in physics, engineering, and other scientific fields, where the variables of interest depend on multiple independent variables. Solving PDEs involves finding a function that satisfies the equation and any given boundary or initial conditions.
To solve the partial differential equation \(∂w/∂t + ∂w/∂x = 0 \\\)with the initial conditions \(w(x,0) = x^2\) and w(0,t) = 5 using Laplace transform, we need to apply the Laplace transform operator to both sides of the equation and then solve for the transformed function.
Let's denote the Laplace transform of the function w(x,t) as W(x,s), where s is the complex frequency variable. Applying the Laplace transform to both sides of the equation, we get:
\(sW(x,s) - w(x,0) + ∂W(x,s)/∂x = 0\)
Using the initial condition \(w(x,0) = x^2\), we have:
\(sW(x,s) - x^2 + ∂W(x,s)/∂x = 0\)
Now, let's apply the Laplace transform to the boundary condition w(0,t) = 5:
W(0,s) = 5
We now have a transformed equation with the transformed function W(x,s) and transformed boundary condition W(0,s). To solve for W(x,s), we can integrate the equation with respect to x and solve the resulting ordinary differential equation. The solution for W(x,s) can then be inverse Laplace transformed to obtain the solution for w(x,t).
Please note that the specific solution depends on the domain and boundary conditions. Additional information or constraints may be required to determine a unique solution.
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Complete Question:
To solve the partial differential equation
∂w/∂t = a^2 ∂^2w/∂x^2
with the initial condition
w(x,0) = f(x)
and w(0,t) = 5 using Laplace transform, we need to apply the Laplace transform operator to both sides of the equation and then solve for the transformed function
I need help with this!!
Tanya used 3/4 cup of flour to make 1/2 batch of muffins ?
Answer:
whats the full question?
Step-by-step explanation:
The answer is C.
Every animal in the world needs these things to survive...
MARK ALL THAT ARE TRUE! There are THREE!!
Dirt
Food
Water
Carbon Dioxide
Sunlight
Oxygen
Every animal in the world needs these things to survive:
FoodWaterOxygenWhat is a living organism?A living organism can be defined as an organism which possesses an organized structure, cells, and equally show the characteristics of life.
Basically, some of the characteristics of a living organism include the following:
MovementReproductionNutrition such as food and water.IrritabilityGrowthExcretionRespiration such as oxygen.DeathIn this context, we can reasonably and logically deduce that all living organisms in the world such as animals, human beings, etc., all require food, water and oxygen in order to survive.
On the other hand (conversely), living organisms such as plants only require water, carbon dioxide, and sunlight in order to survive.
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Which number produces a rational number when added to 0.25?
OA. 0.45
OB. T
OC. 0.54732871...
OD. -15
The number that produces a rational number when added to 0.25 is Option(A) 0.45.
What are rational numbers?Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q ≠ 0 can be used to represent a rational number.In the first option when 0.25 is added to 0.45 it becomes 0.65 which is a rational number.
Therefore, Option(A) is correct.
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How many grams are in a half?
Answer:
A half is not a unit of measure for weight, so it is not possible to answer this question.
a class of 20 students is divided into two groups of 10 and then each group is lined up in a particular order. how many ways are there to divide the class and line up the groups?
There are ²⁰С₁₀ × 10! × 10! ways to divide the class and line up the groups.
Number of students in the class = 20
Selection of group one = ²⁰С₁₀ ways
Selection of group two = 1 way
Number of ways to arrange 10 students in a group = 10!
So, Total number of ways = ²⁰С₁₀ × 10! × 10! ways.
Hence there are ²⁰С₁₀ × 10! × 10! ways to divide the class and line up the groups.
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How doe the definition of percent help you wright fraction and decimal equivalent
The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".
For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.
The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.
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PLEASE HELP ME!
A population grows according to an exponential growth model. The initial population is 9, and the grows by 8% each year.
Find an explicit formula for the population growth. Use that formula to evaluate the population after 9 years.
Round your answer to two decimal places
The explicit formula for the population growth is P(t) = 9 * (1 + 0.08)^t, where P(t) represents the population at time t, P0 is the initial population of 9, r is the growth rate of 8% or 0.08, and t is the time in years. Using this formula, we can calculate the population after 9 years which is approximately 16.03
To find the explicit formula for the population growth, we use the exponential growth model formula P(t) = P0 * (1 + r)^t. In this case, P0 is given as 9, and the growth rate r is 8%, or 0.08 when expressed as a decimal. Plugging these values into the formula, we get P(t) = 9 * (1 + 0.08)^t.
To evaluate the population after 9 years, we substitute t = 9 into the formula and calculate: P(9) = 9 * (1 + 0.08)^9. Using a calculator or performing the calculation manually, the population after 9 years is approximately 16.03 (rounded to two decimal places).
Therefore, the population after 9 years, based on the exponential growth model with an initial population of 9 and a growth rate of 8%, is approximately 16.03
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h(x)=(32)x−1 the outputs
The possible outputs of the function for different values of [x] are given below.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given is the following function -
h(x) = 32x - 1
We can write the output for the given function as -
[x] h(x) = 32x - 1 h(x)
1 {32 x 1 - 1 = 31} 31
2 {32 x 2 - 1 = 63} 63
3 {32 x 3 - 1 = 95} 95
4 {32 x 4 - 1 = 127} 127
Therefore, the possible outputs of the function for different values of [x] are given above.
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Mr Jones bought a snowboard. The 6% sales tax on the snowboard was $32.50. What was the total cost including the sales tax? (rounded to nearest cent)
Answer: $574
Step-by-step explanation:
First we need to calculate the price of the snowboard before the addition of the tax. This will be represented by x. Therefore,
6% of x = $32.50
0.06 × x = $32.50
0.06x = $32.50
x = $32.50 / 0.06
x = $541.67
Therefore, the total cost including the sales tax will be:
= $541.67 + $32.50
= $574.17
= $574
Zimak bought 3 xylobars and 5 yackities from the intergalactic Candy store for 1.75 Jeejuju paid 1.88 and got 4 xylobars and 1 yackity.How much would dado pay fir 1 xylobar and 2 yakities?
The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:
3x + 5y = 1.75
x = xylobars
y = yackities
Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:
4x + y = 1.88
Equate the equations and this will be:
4x + y = 1.88 ....... i
3x + 5y = 1.75 .... ii
From equation i y = 1.88 - 4x
Put this into equation ii
3x + 5y = 1.75
3x + 5(1.88 - 4x) = 1.75
3x + 9.4 - 30x = 1.75
Collect like terms
3x - 30x = 1.75 - 9.4
-27x = -7.65
Divide
x = 7.65 / 27
x = 0.283
xylobars = 0.283
Since 4x + y = 1.88
4(0.283) + y = 1.88
1.132 + y = 1.88
y = 1.88 - 1.132
y = 0.748
The cost for 1 xylobar and 2 yakities will be:
x + 2y
0.283 + 2(0.748)
= 0.283 + 1.496
= 1.779
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Devon has 18 pairs of shoes and 2/3 of his shoe collection are Jordans. How many shoes are not Jordans?
Answer:
6 pairs of shoes are not Jordans
12 shoes are not Jordans
Step-by-step explanation:
2/3rds are Jordans
That means 1-2/3 = 1/3 are not Jordans
1/3 * 18 = 18/3 = 6
6 pairs are not Jordans
A pair is 2 shoes
6*2 = 12 shoes
Answer:
6 pairs of his shoes are not Jordan’s or 1/3 of his shoes are not Jordan’s or 12 shoes are not Jordan’s
Step-by-step explanation:
1/3 * 18 = 18/3 = 6
6 pairs are not Jordans
A pair is 2 shoes
6*2 = 12 shoes
12 shoes are not Jordan’s
What is the kinetic energy of a toy truck with a mass of 0.75kg and a velocity of 4 m/s (Formula: KE= 1/2mv2)
Answer:6
Step-by-step explanation: