Kevin has deposited money into a savings account. Choose the correct terms to complete each sentence.
Kevin deposits $100 into a savings account today. This is his . In one year, Kevin’s money earns 5 percent. The $5 he earns is . In one year’s time, Kevin’s money is worth $105. This is his . The interest Kevin earns in the first year will also earn interest in subsequent years. This is called .
The interest Kevin earns in the first year that is $105 that will also earn interest in subsequent years. This is called compound interest.
What is percent?Percent is a way of expressing a number as a fraction of 100, often used to represent a proportion or rate. It is denoted by the symbol "%". For example, if 30 out of 100 students in a class got an "A" grade, then the percentage of students who got an "A" grade is 30%.
Here,
Kevin deposits $100 into a savings account today. This is his principal. In one year, Kevin’s money earns 5 percent. The $5 he earns is his interest. In one year’s time, Kevin’s money is worth $105. This is his balance.
To find the interest earned in one year, we need to multiply the initial deposit by the interest rate (as a decimal). So:
Interest earned in one year = $100 x 0.05 = $5
To find the total value of Kevin's savings account after one year, we need to add the interest earned to the initial deposit. So:
Total value after one year = $100 + $5 = $105
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What does 1.022 represent in the expression?
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:
\(GDP = 11(1.0220)^{t}\)
We can also see that the exponential model formula given by: governs this formula.
\(GDP = 11(1.0220)^{t\)
Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.
The value of b in this instance is provided by:
b = 1.022
And when we calculated r as the growth rate, we obtained:
1.022 = 1 + r
r = 1.022 - 1
r = 0.022
Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."
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Give the coordinates of the point P without using any new variable.
Answer:
Step-by-step explanation:
C because it is given that from 0 to (a,0) only need steps and similarly with b only need b amount of steps to reach (0, b). Therefore to reach point P, you just need (a, b).
Which point on the number line best represents
V10?
3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0
tohoto
E F G H
F
G
E
H
Answer: The answer is F
Step-by-step explanation:
gement System Grade 0.00 out of 10.00 (0%) Plainfield Electronics is a New Jersey-based company that manufactures industrial control panels. The equation gives the firm's production function Q=-L³+15
The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.
In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.
Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.
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Find the set of all pure and mixed strategy Nash equilibria of the following 2-person game. Show your work. [Hint: Draw the best response correspondences.] Player 2 Player 1 U D U D 2,2 0,0 0,2 0,4
The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.
The given two-person game is shown in the given table below.Player 2Player 1UDUD2,20,00,20,4The given two-person game has two pure strategy Nash equilibria, (U, D) and (D, U).Mixed strategy Nash EquilibriaIn this game, if player 1 selects U with a probability of q, then the expected payoff of player 2 will be: U = 2q + 0 (1 - q) = 2q where 1 - q is the probability of selecting D.
Similarly, if player 1 selects D with a probability of q, then the expected payoff of player 2 will be: D = 0q + 4 (1 - q) = 4 - 4q where 1 - q is the probability of selecting U.
Similarly, if player 2 selects U with a probability of p, then the expected payoff of player 1 will be: U = 2p + 0 (1 - p) = 2p where 1 - p is the probability of selecting D.
Similarly, if player 2 selects D with a probability of p, then the expected payoff of player 1 will be: D = 0p + 2 (1 - p) = 2 - 2p where 1 - p is the probability of selecting U.
If player 1 mixes his strategies, then the best response of player 2 can be obtained as: U = 2q and D = 4 - 4q.
Similarly, if player 2 mixes his strategies, then the best response of player 1 can be obtained as: U = 2p and D = 2 - 2pThe following table can be drawn for the best response of each player.
Best Responses Player 2 Player 1 U D U D BR21 1 2 2 BR12 1/2 1/2 2 0.
By solving the above best responses, the set of all pure and mixed strategy Nash equilibria can be obtained.
SolutionThe pure strategy Nash equilibria are (U, D) and (D, U).Now we will find the mixed strategy Nash equilibria of the given two-person game by solving the best response correspondences of each player.
The set of all pure and mixed strategy Nash equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}.
The given two-person game has been given in the table shown below.Player 2Player 1UDUD2,20,00,20,4The two-person game given above can have a pure strategy Nash Equilibrium and mixed strategy Nash Equilibrium, which can be found by plotting the best response correspondences of each player.
The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy.The mixed Nash equilibrium can be solved by considering the probability with which each player is playing each of its strategies.
The expected payoff of the player is calculated by multiplying the payoff of each outcome with its probability and then adding up all the values of each outcome after multiplication. Each player tries to choose the strategy that maximizes its expected payoff given the strategy of the other player.
The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.
The set of all pure and mixed strategy Nash Equilibria of the given two-person game is {(U, D), (D, U), (1/3, 2/3), (2/3, 1/3)}. The Nash equilibrium can be defined as a state where no player can increase its payoff by changing its strategy given the other player's strategy. The best response of each player can be plotted on a graph. If the best response of each player coincides, then it is a Nash Equilibrium.
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Which fraction has the largest value? Select the correct answer
Answer:
7/8 =0.875
Step-by-step explanation:
7/8 =0.875
4/5 =0.8
3/4 =0.75
Answer:
3/4
Step-by-step explanation:
Because if you had a Fraction Strip. 7/8 is a small Rectangle and 3/4 is a bigger Rectangle than 7/8. Look here: https://toytheater.com/fraction-strips/
Create a storyline (word problem) using the following algebraic expressions: P4 + i JP 1,000 Part A: r D Part B: 75 – 3m
2. (20 pts) LetA={0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F}. a) How many subsets ofAhave 8 elements? b) How many subsets ofAwith 8 elements have only numbers? c) How many subsets ofAwith 8 elements have only letters? d) How many subsets ofAwith 8 elements have 2 letters?
a) There are 128 subsets of A with 8 elements. This is because the number of subsets of a set with n elements is 2 ^ n. Therefore, the number of subsets of A with 8 elements is 2 ^ 8 = 128.
b) There are 82 subsets of A with 8 elements that have only numbers. This is because there are 10 numbers in A and each of these numbers can be included or excluded from the subset of 8 elements. Therefore, the number of subsets of A with 8 elements that have only numbers is 2 ^ 10 = 1024.
c) There are 46 subsets of A with 8 elements that have only letters. This is because there are 6 letters in A and each of these letters can be included or excluded from the subset of 8 elements. Therefore, the number of subsets of A with 8 elements that have only letters is 2 ^ 6 = 64.
d) There are 28 subsets of A with 8 elements that have 2 letters. This is because there are 6 letters in A and each of these letters can be included or excluded from the subset of 8 elements twice. Therefore, the number of subsets of A with 8 elements that have 2 letters is 2 ^ 12 = 4096.
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PLEASE HELP
In Exercises 1 and 2, identify the slope of the line. Then identify a point the line
passes through.
1. y - 2 - 4(x - 5)
2. y - 7 - -3(x + 6)
Answer:
1. Slope = 1/4
Point = ( 1, 1 )
2. Slope = -3
Point = ( 3, -20 )
Step-by-step explanation:
I need help please. I will give brainlyist.
Answer:
If you are solving for V, the answer is \(v = 1, -1\)
Step-by-step explanation:
Take the root of both sides and solve.
Hope this helps!
Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.
A 2-column table with 5 rows. The first column, the number of 45-cent stamps, has the entries 18, 20, 22, 25. The second column, the number of 65-cent stamps, has the entries 17, 15, 13, 10.
Which statement about the stamps is correct?
The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15.
Answer:
The total Number of stamps is 25
Answer:
C. THE TOTAL NUMBER OF STAMPS IS 35
I took the test and got it right.
If in circle A is 60°, what is m∠BDC?
Strawberries are on sale 3 boxes for $6.99. How much does 1 box cost?
Answer:
$2.33
Step-by-step explanation:
6.99/3 = 2.33
Divide cost of 3 boxes by 3:
6.99/3 = 2.33
1 box cost $2.33
Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.
a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.
b. Solve the system you create to find the exact number of student tickets sold and adult tickets solve.
c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?
Answer:
Adult ticket = 80
Children ticket = 120
Step-by-step explanation:
Given that :
Cost of student ticket = $8
Cost of adult ticket = $10
Number of tickets sold = 200
Total amount collected = $1760
Let number of adult ticket sold = a ; children ticket = b
a + b = 200 _-_(1)
10a + 8b = 1760 ___(2)
a = 200 - b
10(200 - b) + 8b =. 1760
2000 - 10b + 8b = 1760
- 2b = 1760 - 2000
-2b = -240
b = 120
a = 200 - b
a = 200 - 120
a = 80
Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer:
acute = 30,right angle = 90,obtuse = 135,line = 180
pls help its my last day of school and a have only a few mins to submit
Answer:
slope = 1/2
y intercept = 2
slope intercept form = y = 1/2x + 2
Step-by-step explanation:
Answer:
Slope: 2
y-intercept: 2
Slope intercept form: y=2x+2
Step-by-step explanation:
Hope this helps!
What would (-5,-7) be reflected over y=-x?
Answer:
(7, 5)
Step-by-step explanation:
Let us graph the point and the line so we can see the problem laid out for us.
-> See attached
We can see that the coordinate values (x and y) are flipped and the signs also both flip.
This also can be found by solving the equation:
y = -x
-7 = -x
7 = x
--------------
y = - -5
y = 5
Question 4(Multiple Choice Worth 2 points)
(Irrational Numbers MC)
Order √50,-7.1.3-7 from least to greatest.
0 -7.1.-7. √50,23
O
0-71.-7.7.23,√50
O
0 -7.1.-723√50
0-7-7.1,√50,23
Answer:
D
Step-by-step explanation:
The square root of 50 is approximately equal to 7.07
-7.1111… can be rounded to -7.11
23/3 is equal to approximately 7.67
-7 1/5 is equal to -7.2
Find the equilibrium price and quantity for each of the following pairs of demand and supply functions. a. Q=10-2P b. Q=1640-30P C. Q = 200 -0.2P Q² =5+3P Q² = 1100+30P Q² = 110+0.3P Q² = 5000+ 0.
The equilibrium price and quantity for each pair of demand and supply functions are as follows:
a. Q = 10 - 2P
To find the equilibrium, we set the quantity demanded equal to the quantity supplied:
10 - 2P = P
By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:
10 = 3P
P = 10/3 ≈ 3.33
Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:
Q = 10 - 2(10/3) = 10/3 ≈ 3.33
Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.
b. Q = 1640 - 30P
Setting the quantity demanded equal to the quantity supplied:
1640 - 30P = P
Simplifying the equation, we have:
1640 = 31P
P = 1640/31 ≈ 52.90
Substituting the equilibrium price back into the demand or supply function:
Q = 1640 - 30(1640/31) ≈ 51.61
Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.
In summary, for the demand and supply functions given:
a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.
b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.
In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.
In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.
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Select the choice that translates the following verbal phrase correctly to algebra:
the product of 12 and y increased by 11
Step-by-step explanation:
( 12 × y ) + 11
The product of 12 & y = 12 × y
Increasing = adding = (12×y) + 11
12y + 11.
Which ordered pair best represents the location of point A. A(2,3) B(3,2) C(2,2) D(3,3) Pls explain your answer :) 20 points
Answer:
The correct answer is B
Step-by-step explanation:
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Antonia recorded the number of cups of hot chocolate that were sold at soccer games compared to the outside temperature. The graph below represents her data.Hot Chocolate SalesFor which temperature would the prediction of the number of cups sold be an interpolation?21°F35°F49°F63°F
Answer:
49 degrees could be an interpolation.
Step-by-step explanation:
For an interpolation, the data point in question needs to be in the middle of the given data points of the graph. Only the value 49 is in between all the points in our graph. The rest of the choice fall outside of the points.
3. Find the unit rate of each and then state which is the better buy. A) 18 oz of
peanut butter for $4.75 or B) 40 oz of peanut butter for $11.29
Now we
Answer:
Step-by-step explanation:
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2x(x^2-2)+7x=9x+2x^3
Algerbra 1 solve for x
Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)
Answer:
the answer is 1100
Step-by-step explanation:
you will do... 5500*20/100
PLEASE HELP!!!
Find the volume of each figure. Round your answers to the nearest hundredth, if necessary. Leave your answers in terms of a for
answers that contain 7.
7 m
10 m
a rectangular storage container without a lid is to have a volume of 10m3. the length of its base is twice the width. material for the base costs 10$ per square meter. material for the sides costs 6$ per square meter. find the cost of materials for the least expensive such container.
The cost of materials for the least expensive such container is 245.31 dollars .
Suppose the width of container is x (m),
length of the base of container is 2x (m)
the base area of container is (length × width)sq. m i.e 2x² meter².
Since the volume of container is 10 m³.
the height of container = area of container/ volume of container
height of container= 10/2x² m = 5/x² m
The cost of making such container is cost of base = 2x²*10 = 20x².
cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x
The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x
The get the minimum,
df(x)/dx = 20×(2x - 9/x²) = 0
so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m
f(x) = 245.31 dollars
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If fx)= 6x-4, what is fx) when x= 8"
A 2
B 16
C 44
D 52
Since x = 8, you would need to plug in 8 into the x.
f(x) = 6x - 4
f(x) = 6(8) - 4
f(x) = 48 - 4
f(x) = 44
So, the correct answer would be C. 44
x^3 • x^4 • x^0 = x^?
The value of the simplified expression is \(x^7\)
We have,
\(x^3 \times x^4 \times x^0\)
Since the base is the same in each individual expression.
We use the exponent laws where all the powers are added for all the same bases.
Now,
\(x^{3 + 4 + 0}\)
= \(x^7\)
Thus,
The value of the simplified expression is \(x^7\)
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