if you borrow $1,400 for 3 years at an annual interest rate of 20% what the total amount of money you will pay back

Answer:

b

Step-by-step explanation:

(-12/25) (-10/16) = 0.3

3/10 = 0.3

\( - \frac{12}{25} \times - \frac{10}{16} = \frac{3}{5} \times \frac{2}{4} = \\ \)

\( \frac{3}{5} \times \frac{1}{2} = \frac{3}{10} \\ \)

Thus B is the correct answer...

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The second derivative of v with respect to t, denoted as d²v/dt², is equal to 4

The second derivative of v with respect to t, we will differentiate v twice.

v = 2t² + 7t + 11

First, let's find the first derivative of v with respect to t (dv/dt):

dv/dt = d/dt (2t² + 7t + 11)

Using the power rule of differentiation, we differentiate each term separately:

dv/dt = 2(2t) + 7(1) + 0

dv/dt = 4t + 7

Now, let's find the second derivative of v with respect to t (d²v/dt²):

d²v/dt² = d/dt (4t + 7)

Again, using the power rule of differentiation, we differentiate each term separately:

d²v/dt² = 4(1) + 0

d²v/dt² = 4

Therefore, the second derivative of v with respect to t, denoted as d²v/dt², is equal to 4.

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If the two firms do not cooperate, the payoff that North Springs and South Springs receive in the dominant-strategy equilibrium and the Nash equilibrium would depend on the specific game or scenario being played. Without more information about the specific game being played and the strategies of the two firms, it is impossible to provide a definitive answer.

However, in general, the dominant-strategy equilibrium refers to the situation where each player chooses their best strategy, regardless of what the other player does. The Nash equilibrium refers to the situation where each player chooses their best strategy given what the other player is doing. In some cases, the dominant-strategy equilibrium and the Nash equilibrium may be the same, but in other cases, they may differ.

So, in order to determine the payoff that North Springs and South Springs receive in these equilibria, more information about the game being played and the strategies of the two firms would be needed.
Based on the information given, we can analyze the payoff for both North Springs and South Springs firms in the dominant-strategy equilibrium and the Nash equilibrium.

Dominant-Strategy Equilibrium:
1. Identify each firm's dominant strategy (the best response regardless of the other firm's action).
2. Combine the dominant strategies for both firms to find the outcome.

Nash Equilibrium:
1. Identify each firm's best response given the other firm's action.
2. Find the outcome where both firms are simultaneously choosing their best responses.

Without specific numerical payoffs, I cannot provide the exact payoff amounts. However, once you have the payoff matrix, you can follow the steps mentioned above to find the payoffs for North Springs and South Springs in the dominant-strategy equilibrium and the Nash equilibrium.

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Answer: x= -5

Step-by-step explanation:

These steps are the same for solving all equations with one variable.

Answer:

Step-by-step explanation:

Step one:

Given data

Force F= 10N

the distance is described by the coordinate =  (0,0) to (15,0)

hence the distance = 15m in the x-direction.

Step two:

Required is the work done

we know that work done is expressed as

Wd= Force* Distance

Wd= 10*15

Wd= 150 Joules

Answer:

38.82

Step-by-step explanation:

Answer:

umm the only one in the picture..

Step-by-step explanation:

hope this helps.

Answer: Well since we can only view one graph, I’ll just go off of that one. I think it’s the same graph, only with a closed circle instead.

Step-by-step explanation: I hope this was helpful.. if I’m wrong please tell me but I’m sure it’s right. Gl everyone!!! <3

The probability of event B occurring is approximately 0.4328.

The problem requires us to find the probability of event B occurring, given that event A and B occur together, and the conditional probability of A given B. We can use the formula of conditional probability to solve this problem.

The formula for conditional probability states that the probability of event A given event B has occurred is equal to the probability of A and B occurring together divided by the probability of B occurring.

Using the information given in the problem, we know that P(A and B) = 0.29, and P(A|B) = 0.67. We need to find P(B).

Substituting the given values in the formula, we get:

P(A|B) = P(A and B) / P(B)

0.67 = 0.29 / P(B)

Solving for P(B), we get:

P(B) = 0.29 / 0.67

P(B) = 0.4328 (rounded to four decimal places)

Therefore, the probability of event B occurring is approximately 0.4328. This means that out of all the possible outcomes, event B occurs with a probability of 0.4328, given that we know event A and B occur together, and the conditional probability of A given B.

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The subspaces of R^3x3 are: B. The invertible 3x3 matrices, C. The 3x3 matrices with all zeros in the third row, D. The diagonal 3x3 matrices, and F. The 3x3 matrices of rank 1.

A subspace of R^3x3 is a subset that satisfies three conditions: it contains the zero matrix, it is closed under matrix addition, and it is closed under scalar multiplication.

B. The invertible 3x3 matrices form a subspace because the zero matrix is invertible and any linear combination or product of invertible matrices is also invertible.

C. The 3x3 matrices with all zeros in the third row form a subspace. Adding two matrices with all zeros in the third row results in a matrix with all zeros in the third row, and multiplying a matrix with all zeros in the third row by a scalar also yields a matrix with all zeros in the third row.

D. The diagonal 3x3 matrices form a subspace because the sum of two diagonal matrices is still a diagonal matrix, and scaling a diagonal matrix by a scalar preserves its diagonal structure.

E. The 3x3 matrices with a specific trace value do not form a subspace because the sum of two matrices with different trace values will generally not have the same trace.

F. The 3x3 matrices of rank 1 do form a subspace. The zero matrix is of rank 0, and any linear combination of rank 1 matrices will also have rank 1. Furthermore, scaling a rank 1 matrix by a scalar preserves its rank.

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Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

The statement that is true about the dot plots is:  Range for Week 1 equals range for Week 2.

Range is simply the difference between the highest data point and the lowest data point in a data set.

Range for Week 1:

Range = 89 - 62

= 27

Range for Week 2:

Range = 89 - 62

= 27

The sentence of median and mean doesn't satisfy the situation.

Hence, Range for Week 1 equals range for Week 2.

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The general solution to the differential equation is y = [-(1/4)x^2 - (1/3)x + (C/4)]^(1/3).

To solve 2yy' + x^2 + y^2 + x = 0 using an appropriate substitution, we can substitute u = y^2. Taking the derivative of u with respect to x, we get du/dx = 2yy'. We can then rewrite the original equation as 2(u^(1/2))(du/dx) + x^2 + u + x = 0.

This is now a separable differential equation, where we can move the u term to the right side and the x terms to the left side: 2(u^(1/2))du/u = -(x^2 + x)dx. Integrating both sides, we get 4/3u^(3/2) = -(1/3)x^3 - 1/2x^2 + C, where C is the constant of integration.

Substituting back u = y^2, we get 4/3y^3 = -(1/3)x^3 - 1/2x^2 + C.

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The system of linear equations admits an unique solution.

The system of linear equations given by:

-x + 3y = 7   ------------------------(1)

2x + y = 4   ------------------------(2)

We can find whether the system of linear equations admits a unique solution or not by using any one of the methods such as elimination, substitution or matrices.

For this question, we can solve the given system of equations using the substitution method:

From Eq. (2), we get:

y = 4 - 2x   ------------------------(3)

Substituting Eq. (3) into Eq. (1), we get:

-x + 3(4 - 2x) = 7

=> -x + 12 - 6x = 7  

=> -7x = -5  

=> x = 5/7

Substituting the value of x in Eq. (3), we get:

y = 4 - 2(5/7)

=> y = 18/7

Therefore, the unique solution of the given system of linear equations is:x = 5/7 and y = 18/7.

Thus, the given system of linear equations admits a unique solution.

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Given:

Selling price of each pound of strawberries = $2.50

Selling price of each pound of raspberries = $3.75

Total quantity = 65 pounds

Total sales = $225

To find:

The number of pounds of strawberries sold, and the number of pounds of raspberries sold graphically.

Solution:

Let x be the number of pounds of strawberries and y be the number of pounds of raspberries sold.

According to the question,

Total quantity : \(x+y=65\)      ...(i)

Total sales : \(2.50x+3.75y=225\)      ...(ii)

Table of values for equation (i) is

x          y

0        65

65       0

Table of values for equation (ii) is

x          y

0        60

90       0

Plot these point on coordinate plane and connect them by straight lines as shown in the below graph.

From the graph it is clear that both lines intersect each other at (15,50). So,

\(x=15, y=50\)

Therefore, the number of pounds of strawberries sold is 15 and the number of pounds of raspberries sold is 50.

The number of pounds of strawberries sold and the number of pounds of raspberries sold is 15 and 50

here we assume the strawberries be x

and, the raspberries be y

Now

x + y = 65

It can be written as y = 65 - x

2.50x + 3.75y = 225

From the graph we can say that it should be 15 and 50.

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Answer:

1) A rectangular shape

2) Point  (30, 50)

3) (x - 30)² + (y - 50)² = 10²

4) Yes, the swimming pool will touch the flower beds

5) Point (45, 25)

Step-by-step explanation:

1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape

2)  So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)

3) The equation that will draw the swimming pool is the equation of a circle, given as follows

(x - h)² + (y - k)² = r²

Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,

Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet

The equation of the circle is therefore;

(x - 30)² + (y - 50)² = 10²

4) The coordinates of the center of the flower bed is (30, 45) which gives

(x - 30)² + (y - 45)² = 10²

Where the coordinates of the side of the flower pot is (20, 45), we have;

(20 - 30)² + (45 - 45)² = 10²

(-10)² = 10² = r²

Hence, point (20, 45) is on the circle

The other flower bed side has coordinates (40, 45) which gives

(40 - 30)² + (45 - 45)² = 10²

10² = r² = 10²

Point (40, 45) is also on the circle

Therefore, the swimming pool will touch the flower beds

5) At point (45, 25), we have;

(x - 45)² + (y - 25)² = 10²

The closest point is the patio with coordinates (40, 15) which gives;

(40 - 45)² + (15 - 25)² = 10² = 100

(-5)² + (-10)² = 125 > 100

Therefore, point (40, 15), is not on the circle.

There are 6! (read as "6 factorial") or 6 x 5 x 4 x 3 x 2 x 1 = 720 different ways to assign the six people to the six positions.

To determine the number of different ways to assign six people to six positions, we can use the concept of permutations. Since each position needs to be filled by a different person, we are essentially looking for a permutation of the six people.

The number of permutations of n objects taken r at a time is given by the formula:

P(n, r) = n! / (n - r)!

In this case, we want to assign six people to six positions, so n = 6 and r = 6. Plugging these values into the formula, we have:

P(6, 6) = 6! / (6 - 6)!

        = 6! / 0!

        = 6!

Therefore, there are 6! (read as "6 factorial") or 6 x 5 x 4 x 3 x 2 x 1 = 720 different ways to assign the six people to the six positions.

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A team is being formed that includes six different people. There are different positions on the teams How many different ways are there to as the sex people to the six positions? There are ways to assign the six people to the six positions (Type a whole number) sign > > View by 5 Fary

Answer:

1.5 cups per cup. cups/cake

6 cups/ 4 cakes

= 1.5 cups per cake

Step-by-step explanation:

hope I help I ma a noob so can I have brainliest pls

Answer:

Step-by-step explanation:

To answer this question, I am going to multiply the total cups of sugar said in recipe by 1/3. This will tell me how much sugar is required for 1/3 of recipe.

Hence, Janelle will need 1/3 cups of sugar to make 1 cake.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

its should be c 3 1/2

Step-by-step explanation:

u reduce when u get 3 2/4 then u will get 3 1/2

Answer:

B. 3 1/2

Step-by-step explanation:

The number of units produced does not affect net operating income when using absorption costing.

All production expenses, including direct materials, direct labour, and both variable and fixed overhead costs, are included in the cost of each unit produced in absorption costing. This means that as more units are manufactured, the total manufacturing cost is distributed over a greater number of units, resulting in a reduced cost per unit.

Variable costing, on the other hand, includes only variable production expenses, such as direct materials, direct labor, and variable overhead costs, in the cost of each unit produced. Fixed manufacturing overhead costs are considered period expenses and are not included in the product cost.

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Answer:

Step-by-step explanation:

hello :

√4=2 and √8=2√2

√4(√8+3). =2(2√2+3)=4√2+6

Answer:

4√2 +6

Step by step explanation:

To find the product of the the above question, we open bracket.

√4(√8+3)

removing brackets.

√4×√8 + √4×3

2√8 + 2×3

2× √4×√2 + 6

2× 2 √2 + 6

4√2 + 6

Answer:

nine is the area I think

Step-by-step explanation:

base times height is width

Answer:

27 in. ^2

Step-by-step explanation:

Ok. Let's start by reflecting on what the definition of lateral area is. In this case, it's all the faces except the 2 equilateral triangle faces. So, let's find the rectangular faces. Length for all of them is 9, width for all of them is 1. So, area is 9 for all 3 lateral faces. 3*9=27.

Using the tangent ratio, the height of the branch can be determined. The tangent of the angle (26 degrees) is equal to the height of the branch divided by the distance from Winthorp to the tree (8 feet). By rearranging the equation and solving for the height, we find that the height of the branch is approximately 3.6 feet.

Tan(26°) = height/8. Rearranging the equation, we get height = 8 * tan(26°) ≈ 3.6 feet.

Certainly! In this scenario, we can use trigonometry, specifically the tangent ratio, to determine the height of the branch. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, the angle of observation is 26 degrees, and the adjacent side is the distance from Winthorp to the tree, which is 8 feet.

By setting up the equation tan(26°) = height/8, we can rearrange it to solve for the height. Multiplying both sides of the equation by 8 gives us height = 8 * tan(26°). Plugging in the value of the tangent of 26 degrees (which can be found using a calculator or reference table), we can calculate the height to be approximately 3.6 feet. therefore, the bird was standing on a branch at a height of approximately 3.6 feet from the ground.

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Answer:

vertex = (- 4, - 18 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

The the x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

f(x) = x² + 8x - 2 ← is in standard form

with a = 1 and b = 8 , thus

\(x_{vertex}\) = - \(\frac{8}{2}\) = - 4

Substitute x = - 4 into f(x) for corresponding y- coordinate

f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18

vertex = (- 4, - 18 )

The vertex of the parabola is (-4, -18).

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Completing the square.

f(x) = x² + 8x - 2

f(x) = (x + 4)² - 18

Therefore,

The vertex of the parabola is (-4, -18).

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The main unknown at this point is "the number of adult tickets." The "number of children's tickets" is another factor that is unknowable. In order to assign two variables, do as follows:

Let a = # of adult tickets

and c = # of children's tickets.

Any traits, figures, or amounts that may be gauged or counted are considered variables. Another name for a variable is a data item. Variables include things like age, sex, business income and expenses, birthplace, capital expenditures, class grades, eye color, and vehicle type.

Setting up the equations using the unknowns that follow the word problem is the next step. Here are the details:

There are 460 tickets total because there are an adult ticket and a child ticket.

a + c = 460.

Now that we know we want to find the number of adult tickets, we can translate the basic equation a + c = 460 into terms of a:

a + c  = 460

-a       = -a        (For example, use -a to delete a from the left side of the equation on either side.)

c = 460 - a

We can now enter the equation c into the other equation, 8.75a + 3.50c = 3143, since we have the equation c expressed in terms of a.

Now, we need to find the value of c in the first equation so that we can plug it into the second equation:

292 + c = 460

-292     = -292

c =  168

(8.75 × 292) + (3.50 × 168) = 3143

2555 + 588 = 3143

3143 = 3143  

Therefore, We each have 3143

The  complete question is:

For a show adult tickets are $8.75 and children's tickets are $3.50. 460 tickets were sold for a total of 3143 how many adults tickets were sold?

Adult ticket = 8.75

child ticket = 3.50

460 tickets we're sold totaling 3143

how many adults tickets were sold

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Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Here is another one of those " quadratic word problems " at hand, which is great!

By the function that is given to us ( which I believe is meant to be \(h(t) = - 5t^2 + 251\) ) the airplane is launched at a height of 251 metres, with no velocity. Anyhow, we need to determine the duration with which the airplane will strike the ground, and to do so we can set up the following equation, \(- 5t^2 + 251 = 0\) - solving for t, otherwise known to be the time!

See the procedure below -

\(-5t^2+251=0\) - Subtract 251 from either side,

\(-5t^2=-251\) - Divide either side by - 5,

\(t^2=\frac{251}{5}\) - And, now isolate t, receiving two solutions,

\(t=\sqrt{\frac{251}{5}},\:t=-\sqrt{\frac{251}{5}}\)

However, time can't be a negative value. Thus our solution is \(\sqrt{251 / 5}\), which is ( about ) 7.085 seconds!

Answer:

By the math, x = 10°

Here's my issue though, the top angle is x - 15°. That would be an angle of -5° which is impossible.

Step-by-step explanation:

x - 15 + 2x + 25 + 180 - 4x = 180°

combine like terms:

3x - 4x + 190 = 180°

-x = -10°

x = 10°

Answer:

Step-by-step explanation:

Answer:

240 marbles.

Explanation:

Let us call R the number of red marbles, B the number of blue marbles, and N the total number of marbles. Then we know that

Furthermore, we also know that there are 160 blue marbles, meaning B = 160:

We also know that the probability of getting a red marble is 1 / 3, meaning 1 /3 of the total number of marbles is red:

Since N = R + 160, the above becomes

Multiplying both sides by 3 gives

subtracting R from both sides gives

Finally, dividing both sides by 2 gives

Hence, there are 80 marbles in the box.

Therefore, the total number of marbles in the box is

The total number of marbles in the box is 240.

The Translation is : (x,y) = (x- 1, y- 1).

WHAT IS TRANSLATION?

Translation is the process of conveying the meaning of a text written in the source language through a text written in the target language. The English language makes a terminological distinction between translating (the act of translating a written text) as well as interpreting (the act of communicating orally or symbolically between speakers of different languages); according to this distinction, transcription can only start once writing has been invented within a language community. There is always a chance that a translator will unintentionally render source-language words, grammar, as well as syntax into to the target-language rendering.

Here the triangle B is in translation to triangle C.

the ratio of x-coordinates is 2/-2 = -1, SO the scale factor of the dilation that maps (2,4) onto (-2,-4) is -1.

so, translation: (x,y) = (x- 1, y- 1).

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