2078/08/20, A machine was valued Rs.20,000 whereas its original value was Rs. 17,500​.

it is an accountancy question..please answer fast

Answers

Answer 1

The depreciation if production during the first year is 6,000 and total estimated production during the working life of the machine is 60,000 units is 15000.

How to calculate the depreciation

Cost of machine = Rs. 1,70,000; Scrap value = Rs. 20,000;

Depreciation in production during the first year =  6,000 units;

Production units during the life of the machine = 60,000 units

Depreciation rate per unit = (Rs. 1,70,000 -  Rs. 20,000)/ 60,000 units

=  Rs. 2.5

Depreciation of first year =  6,000 * Rs. 2.5 = Rs. 15,000

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Complete question

If the original cost of a machine is Rs. 170,000, estimated scrap value Rs. 20,000, what is the depreciation if production during the first year is 6,000 and total estimated production during the working life of the machine is 60,000 units.


Related Questions

Select all of the following choices that are potential causes for extreme emotion.


drug use
drug use

chemical imbalance
chemical imbalance

mild stress
mild stress

certain diseases
certain diseases

Answers

The potential causes for extreme emotion are Chemical imbalance, drug use, mild stress

What is an extreme emotion?

When someone starts displaying extreme emotions, we frequently discover that they lack emotional control, are brave, and occasionally even are annoying. This person reacts in an exaggerated way to any situation or circumstance, no matter how unimportant it may seem.

However, biological factors and other factors that interfere with a person's psyche can cause these emotions to be triggered, leading to the externalization of exaggerated emotions. Chemical imbalance, drug use, and mild stress are a few of these factors.

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Given mn, find the value of x. + (x+1)⁰ (7x-5)°​

Answers

The value of the variable x is 23

What are supplementary angles?

Supplementary angles are simply described as pair of angles which sum up to 180 degrees.

Some properties of supplementary angles are;

The two angles are said to be supplementary angles their sum is   180 degreesThe two angles together make a straight line, but the angles need not be meet at a point“S” of supplementary angles represents “Straight” line. This means they form angle 180

From the information given, we have that;

x + 1 and 7x - 5 area supplementary

Then, we have the representation as;'

x + 1 + 7x - 5 = 180

collect like terms

8x = 180 + 4

8x = 184

make 'x' the subject of formula

x = 23

Hence, the value is 23

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-5(-2)x−4y=−10 ​ using the system of substitution please! I dont understand how to do that.

Answers

The equation cannot be solve using substitution

How to solve the system using substitution

From the question, we have the following parameters that can be used in our computation:

-5(-2)x−4y=−10

The above equation is a lone equation

For an equation to be solved using substitution, there must be at least two equations

Hence, the equation has no solution

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Graph y< 1/2
on a number line.

Answers

The number line of y < 1/2 is repesented below

How to determine the number line

From the question, we have the following parameters that can be used in our computation:

y < 1/2

A number line represents all real numbers on a line and is usually represented as a horizontal line with numbers increasing from left to right.

The symbol "<" in the equation y < 1/2 means "less than."

So, all values of y that are less than 1/2 would be graphed to the left of 1/2 on the number line.

The number line would look like this:

   -1.0         -0.5           0.0         0.5         1.0

   ____________|______________|____________|____________

    y < 1/2                                 1/2

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575 ÷ 25 por cuanto seria este numero me ayudas

Answers

Answer:

23

Step-by-step explanation:

you must divide tru turtle head

Answer:

575 ÷ 25 = 23!

Step-by-step explanation:

¡Espero eso ayude!

a bathroom tile pattern has blue, red and white tiles in the ratio 3 : 4 : 8 there are 300 tiles . how many tiles are there of each colour

Answers

There are 60 blue tiles, 80 red tiles, and 160 white tiles in the bathroom pattern

How to determine the tiles in each colour

Let's call the number of individual tiles "x".

Using the given ratio, we have

Then there are 3x blue tiles, 4x red tiles and 8x white tiles.

The total number of tiles is:

3x + 4x + 8x = 300

Evaluate the like terms

15x = 300

Dividing both sides by 15

x = 300 / 15 = 20

So, we have

Blue = 3 * 20 = 60

Red - 4 * 20 = 80

White = 8 * 20 = 160

So there are 60 blue tiles, 80 red tiles, and 160 white tiles.

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an airplane flying with the wind takes 2 hours with a 25-mph tailwind to reach its destination. the return trip takes 4 hours flying against the wind. what is the speed of the airplane in still air?

Answers

The speed of the airplane in still air is 21.5 mph.

What is the speed of the airplane?

An airplane flying with the wind takes 2 hours with a 25-mph tailwind to reach its destination. the return trip takes 4 hours flying against the wind.

We must calculate the wind speed from the ground speed and airspeed as we cannot measure the wind speed directly from the aeroplane.

Flying at 35 mph requires four hours. Consequently, the distance is

25 * 2 = 50 miles.

For the same route, a return trip takes 5 hours.

Hence V-Vs= 50/4 = 12.5.

Therefore, V+Vs= 25 (1).

V-Vs = 12.5-----(2).

We obtain V=21.5 mph Vs=2.5 mph by solving for (1) and (2).

Thus, V = 21.5 mph is the airplane's windless speed.

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Determine whether the statement below is always, sometimes, or never true.
A square is a rhombus.
always true
sometimes true
never true

Answers

Answer:

Always true

Step-by-step explanation:

A rhombus is a parallelogram with equal sides, and a square is a rectangle with equal sides. As a rectangle can also be a parallelogram, you can prove that a square is always a rhombus.

Answer:

This is always true.

Step-by-step explanation:

They both have 4 congruent sides

Could anyone explain?

Answers

Both Isaac and Micah are using a compass and straightedge for their constructions.

The similarities between their construction steps include:They both start by drawing a line segment.They both use a compass to mark points on the line segment.They both use a straightedge to connect the marked points.

The differences between their construction steps are:

Isaac is constructing congruent segments, which means he is dividing the original line segment into equal parts, while Micah is constructing a segment bisector, which means he is dividing the line segment into two equal parts and finding the midpoint.

Isaac only needs to mark one point on the line segment with his compass to get two congruent segments, while Micah needs to mark two points and then find the midpoint between them.

The final results of their constructions are different: Isaac will have two congruent line segments, while Micah will have one line segment bisector that splits the original line segment in half.

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given the following details: function: x3 - x2 4 initial approximation: 1 tolerance: .001 how many iterations before we find the approximate root below the error threshold?

Answers

The process takes approximately 14 iterations to reach the desired accuracy.

The Bisection Method will take approximately 14 iterations to find the approximate root of the equation within an error tolerance of 0.001. The mathematics calculations involve finding the midpoint of a given interval [a, b] and then determining whether the midpoint is a root of the equation. If it is not a root, then the interval is divided into two halves, and the process is repeated on the subinterval where the sign of the function changes. This process is repeated until the midpoint is within the desired error tolerance.

To calculate the number of iterations required, we begin by noting that the initial interval used is [1, 0]. The midpoint of this interval is 0.5. This value is then plugged into the function to determine if it is a root. Since it is not, the interval is then divided into two halves and the process is repeated. This process is repeated until the midpoint is within the desired error tolerance of 0.001. In this case, it takes approximately 14 iterations to reach the desired accuracy.

The complete question is:

Given the function f(x) = x^3 - x^2 - 4 and an initial approximation of x = 1, how many iterations of the Bisection Method are required to find the approximate root of the equation within an error tolerance of 0.001?

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Assumex→7limf(x)=12,x→7limg(x)=5, and x→7limh(x)=3. Compute the following limit and state the limit laws used to justify the computation
.x→7limg(x)−h(x)f(x)x→7limg(x)−h(x)f(x)=
(Simplify your answer.)

Answers

Limit and say that the computation is justified by the limit laws x7limg(x)h(x)f(x) = -31.

What do you mean by limit?

A limit in mathematics is a value that a function approaches when the input gets closer to a certain value. Limits are used to find a function's derivative and integral as well as to characterize how a function behaves around particular places.

The following is the official definition of a limit: Let c be a real value and f(x) be a function. The symbol for the limit of f(x) as x gets closer to c is L.

lim x -> c f(x) = L

if for every ε > 0, there exists a δ > 0 such that for all x, 0 < |x - c| < δ implies |f(x) - L| < ε. In other words, as x gets arbitrarily close to c, the values of f(x) get arbitrarily close to L.

The limit can be computed as follows:

x→7limg(x)−h(x)f(x) = limx→7g(x)−h(x)limx→7f(x) = 5−3limx→7f(x) = 5−3(12) = 5−36 = -31

So, x→7limg(x)−h(x)f(x) = -31.

The limit of two functions that differ from one another is equal to the difference between their limits.

Both laws were used to simplify the expression in the limit.

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Limit and state that the computation is justified by the limit laws x→7limg(x)−h(x)f(x) = -31.

What do you mean by limit?

A limit in mathematics is a value that a function approaches when the input gets closer to a certain value. Limits are used to find a function's derivative and integral as well as to characterize how a function behaves around particular places.

The following is the official definition of a limit: Let c be a real value and f(x) be a function. The symbol for the limit of f(x) as x gets closer to c is L.

lim x -> c f(x) = L

if for every ε > 0, there exists a δ > 0 such that for all x, 0 < |x - c| < δ implies |f(x) - L| < ε. In other words, as x gets arbitrarily close to c, the values of f(x) get arbitrarily close to L.

The limit can be computed as follows:

x→7limg(x)−h(x)f(x) = limx→7g(x)−h(x)limx→7f(x) = 5−3limx→7f(x) = 5−3(12) = 5−36 = -31

So, x→7limg(x)−h(x)f(x) = -31.

The limit of two functions that differ from one another is equal to the difference between their limits.

Both laws were used to simplify the expression in the limit.

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how do you know the sum of (-2 3/4) and 5/9 is rational?

Answers

Answer:

Step-by-step explanation:

Because the numbers -2 3/4 and 5/9 are rational, and the sum of 2 rational numbers are always rational.

What are the 4 ways to solve an equation?

Answers

Answer: 4 ways of solving one-step equations are the following: Adding, Substracting, Multiplication and Division. If we add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Adding, Substracting, multiplication and division

What methods are there for solving equations?

We have four methods for solving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of an equation will stay equal if we add the same integer to both sides. Both sides of an equation will stay equal if we deduct the same integer from both sides. To solve systems of equations, three approaches are used: graphing, substitution, and elimination.

Fong, Alissa. A system of equations is made up of two or more equations with the same variables. A solution to an equation system is the point at which the lines intersect. Graphing, substitution, elimination, and matrices are the four methods for solving systems of equations.

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find the area of the region that is bounded above by the curve f(x)=(x 10)2 and the line g(x)=−x−4 and bounded below by the x-axis.

Answers

By definite integrals, we find that the area of the region bounded by the functions f(x) and g(x) described in the statement is equal to 4.5 units.

In this problem we must determine the area between two functions, a quadratic equation f(x) and a linear equation g(x).

First, we need to determine the limits of the interval of x-values with the help of a graphing tool, represented by the points of intersection of the two functions.

The points of intersection of the two functions are (x₁, y₁) = (- 5, 4) and (x₂, y₂) = (- 2, 1), respectively. Then, the area is defined by the following definite integral:

[tex]I=\int_{-5}^{-2}[g(x)-f(x)]dx\\\\I=\int_{-5}^{-2}(-x-1)-(x+3)^2]dx\\\\I=4.5 unit^2[/tex]

The area of the region represented by the definite integral introduced above is equal to 4.5 units.

The complete question is -

Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) = - x - 1 and bound above the x-axis.

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A hockey puck sliding along frictionless ice with speed v to the right collides with a horizontal spring and compresses it by 3. 0 cm before coming to a momentary stop.

Answers

The maximum compression of the spring will depend on the spring's elasticity, or its ability to return to its original length after being stretched or compressed which is 2cm

If the same puck hits the spring at a speed of 2v, the spring will compress twice as much as it did when the puck was traveling at v. Thus, the spring's maximum compression will be 2 cm or twice its original compression of 1 cm.

It is important to note that the spring's elasticity will affect the maximum compression. If the spring is relatively stiff and has a low elasticity, it will not compress as far as a spring with a higher elasticity.

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The complete question should be: A hockey puck sliding along frictionless ice with speed v to the right collides with a horizontal spring and compresses it by 1.0 cm before coming to a momentary stop. What will be the spring's maximum compression if the same puck hits it at a speed of 2v?

Elena and jada each make money by helping out their neighbors. Elena babysits. her earnings are given by the equation y= 8.40x, where x represents how many hours she works and y represents how much money she earns.

Answers

Elena receives a higher value per hour, she earns $16.8 more than Jada.

What is unit rate?

A unit rate means a rate for one of something.

Given that, Elena's earning can be given by, y = 8.40x where x represents how many hours she works and y represents how much money she earns. And Jada earns $7 per hour

We need to calculate the total income for 12 hours:

Therefore,

For Elena =

y = 8.40 x 12

y = $100.8

For Jada =

y = 7 x 12

y = $84

Thus, $100.8 - $84 = $16.8

Hence, Elena receives a higher value per hour, she earns $16.8 more than Jada.

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Use the triangles shown.
B
A
E
20
D
C
(8x-6)°
F
12
Describe the restrictions on x.
H
konta
50°
G

Answers

I am sorry but I cannot answer your question with the contained elements.

Dalia has two children, phoenix, age 6, and darius, age 9. Phoenix and darius attended daycare after school. Dalia paid $12,000 in child care expenses in 2022. Her agi is $80,000. What is the amount of her child and dependent care credit?.

Answers

Dahila's Child and Dependent Care Credit in 2022 would be $6,000.

The Kid and Ward Care Credit is a tax cut that can assist with balancing the expenses of really focusing on qualified youngsters and wards. How much the not entirely set in stone by the person's changed gross pay (AGI) and the sum they spend on care? In the event that the AGI is underneath $125,000, the individual can get a credit equivalent to half of their childcare costs.

In 2022, Dahila brought about $12,000 in kid care expenses and has an AGI underneath $125,000, so her Kid and Ward Care Acknowledge would be determined as follows:

$12,000 x 50% = $6,000

Therefore, Dahila's Child and Dependent Care Credit in 2022 would be $6,000.

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Suppose in 2009 you bought a new snowmobile for $500. As time passes, the value of your snowmobile loses

value. Your snowmobile depreciates by an average of 15% each year.

a. Write an exponential equation to model the value of your snowmobile. Remember to define your variables.

Edina

Answers

By applying exponential decay concept, it can be concluded that the exponential equation to model the value of the snowmobile is A = 500 · 0.85ⁿ where n is the times (in years).

Exponential decay occurs when the amount of something decreases at a rate proportional to the amount left.

A = P (1 - r)ⁿ   where:

A = final amount

P = initial amount

r = decay factor

n = time

We have the following information:

P = $500

r = 15%

The exponential equation to model the value of the snowmobile can be written as follows:

A = P (1 - r)ⁿ

A = 500 (1 - 15%)ⁿ

A = 500 · 0.85ⁿ

Thus, the exponential equation to model the value of the snowmobile is A = 500 · 0.85ⁿ where n is the times (in years).

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A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1. In January, the total cost for 150 minutes was $ 69 while in February, the total cost for 275 minutes was $ 76. 5. The constant charge for each minute used is:


A. 0. 08


B. 0. 07


C. 0. 06


Part 2. The fixed montly fee charged by the carrier is; fee = $__________________

Answers

Cellphone carriers charge a monthly fee and a per-minute rate. Every minute costs $0.06, so Option C is correct. Part 2, the carrier charges $60 monthly.

The constant Charge for Each Minute Used

To obtain the constant rate of 0.06, we can use the two equations from January and February to solve for x, the constant rate:

Let x be the constant rate and y be the fixed monthly fee.

For January: y + 150x = $69For February: y + 275x = $76

We can use these two equations to find the constant rate. Solving for x in the first equation, we get:

y + 150x = $69150x = $69 - yx = ($69 - y) / 150

Next, we substitute this expression for x into the second equation:

y + 275x = $76y + 275(($69 - y) / 150) = $76y + ($69 - y) * (275 / 150) = $76y + $69 * (275 / 150) - y * (275 / 150) = $76y + $69 * (275 / 150) = $76 + y * (275 / 150)$69 * (275 / 150) = ($76 - y) / y

Finally, we solve for x:

x = ($69 * (275 / 150) - $76) / (275 / 150)x = ($69 * (275 / 150) - $76) / (275 / 150)x = ($69 * 1.83 - $76) / 1.83x = ($127.57 - $76) / 1.83x = $51.57 / 1.83x = 0.06

So, the constant rate is 0.06 dollars per minute.

The Monthly Charge by The Carrier

To find the fixed monthly fee, we can use the constant rate of 0.06 and one of the equations from January or February.

For January: y + 150x = $69

Substituting the constant rate x = 0.06, we have:

y + 150x = $69y + 150(0.06) = $69y + 9 = $69y = $69 - 9y = $60

So, the fixed monthly fee is $60.


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how to write -9/14 in simplest form

Answers

Answer:

Step-by-step explanation:

-9/14=3*3/2*7

so, there are no common factors. -9/14 is the simplest form.

I’ll give Brainliest and points!!!!
* image is provided*
Plssss helpppp!!!!!!

Answers

Answer:

C. 12,000(1.05)^n < 20,000

Step-by-step explanation:

A = P(1 + r)^t

P = $12,000

r = $5 dollar per year

t = n years

$12,000(1 + 5/100)^n

$12,000(1 + 0.05)^n

$12,000(1.05)^n

The question states, "The tuition is less than 20,000", therefore:

[$12,000(1.05)^n < 20,000]

Tyrion says that a system of linear equations must have exactly one solution If the lines have the same y-intercept.

For example, the equations y = 2x + 6 and y = -7x + 6 Intersect at their y -Intercept, (0, 6).

Select the system of linear equations that disproves Tyrion's claim.

A

B

y = -3+1

2y = 4x + 2

y = 22 +3

+y = 3

S y = 3x + 4

y=x+4

y = x - 1

2 = 2x - 2

C

{

Answers

In analytical geometry, a y-intercept, also known as a vertical intercept, is the point where the graph of a function or relation intersects the y-axis of the coordinate system using the widely accepted convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. Therefore, x = 0 is satisfied at these sites.

What is an analytic geometry?Geometrical problems are represented and solved using algebraic symbolism and techniques in analytical geometry, also known as coordinate geometry. Analytic geometry is significant because it creates a relationship between algebraic equations and geometric curves.Analytic geometry, commonly referred to as coordinate geometry or Cartesian geometry in mathematics, is the study of geometry with a coordinate system. Synthetic geometry is the opposite of this. Engineering and physics, as well as aviation, rocketry, space research, and spaceflight, all require analytical geometry. Geometry involving numbers is known as analytical or coordinate geometry. Vertices and special points have coordinates in analytical geometry, such as (x, y) in the 2D plane, (x, y, z) in 3D space, etc.

y = -3+1

2y = 4x + 2

y = 22 +3

+y = 3

S y = 3x + 4

y=x+4

y = x - 1

2 = 2x - 2

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find measure angle 1

Answers

Answer:

37° and 63°

Step-by-step explanation:

the measure of a secant- secant angle and a tangent- tangent angle is half the measure of the intercepted arcs.

5

∠ 1 = [tex]\frac{1}{2}[/tex] (108 - 34)° = [tex]\frac{1}{2}[/tex] × 74° = 37°

6

the sum of the arcs in a circle is 360° , then

minor arc = 360° - 243° = 117°

∠ 1 = [tex]\frac{1}{2}[/tex] (243 - 117)° = [tex]\frac{1}{2}[/tex] × 126° = 63°

step-by-step determine and draw the signal flow graph for the n=8 point, radix-2 decimation-in-frequency fft of the sequence. please provide all the intermediate computed values.

Answers

The 8-Point Radix-2 Decimation-in-Frequency FFT is a fast Fourier transform algorithm used to decompose a signal into its individual frequency components.

The process begins by splitting the input sequence into even and odd samples using a butterfly operation. The even samples are then further split using a second butterfly operation, followed by a third butterfly operation on the odd samples. The outputs of the butterfly operations are then combined using a summation operation.

To draw the signal flow graph, we must first compute the intermediate values. The first step is to split the input sequence of 8 samples into two sequences of 4 samples each, with the even samples in the first sequence and the odd samples in the second. The second step is to further split the even samples into two sequences of 2 samples each. The third step is to apply a butterfly operation to the odd samples, resulting in two new sequences of 2 samples each. The fourth and final step is to combine the outputs from the butterfly operations using a summation operation.

The signal flow graph for the 8-Point Radix-2 Decimation-in-Frequency FFT is shown below:

                                          +---------------------+

                                          |  Input Sequence     |

                                          |  (8 samples)        |

                                          +----------+----------+

                                                     |

                                           +-----------+----------+

                                           |  Butterfly Operation |

                                           |  (Split Even/Odd)   |

                                           +-----------+----------+

                                              |  |  |  |

                                           +--+--+--+--+

                                           |  Butterfly Op.  |

                                           |  (Split Even)   |

                                           +--+--+--+--+

                                              |  |  |

                                           +--+--+--+

                                           |  Butterfly Op.  |

                                           |  (Split Odd)    |

                                           +--+--+--+

                                              |  |

                                           +--+--+

                                           |  Summation Op.  |

                                           |  (Combine Even/Odd)   |

                                           +--+--+

                                              |

                                          +----------+----------+

                                          |  Output Sequence    |

                                          |  (8 samples)        |

                                          +---------------------+

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A touri begin walking along a 31-mile road to a mountian' ummit. He travel at a rate of 4 mph. After a while, he get tired and call a taxi. The taxi, traveling at a contant ped of 50 mph reach hi detination 2 hour after he tarted walking, what ditance doe he have to pay the taxi driver

Answers

The total distance the tourist has to pay the taxi driver is the sum of the distance the tourist walked and the distance the taxi drove, or 8 miles + 100 miles = 108 miles.

The distance the tourist has to pay the taxi driver can be calculated using the formula for distance = rate x time.

First, let's find out how far the tourist walked. We know that he walked at a rate of 4 mph for 2 hours, so the distance he walked is 4 mph x 2 hours = 8 miles.

Next, let's find out how far the taxi drove. The taxi reached the destination 2 hours after the tourist started walking, so the time it took for the taxi to reach the destination is 2 hours. The taxi was traveling at a constant speed of 50 mph, so the distance it drove is 50 mph x 2 hours = 100 miles.

Finally, the total distance the tourist has to pay the taxi driver is the sum of the distance the tourist walked and the distance the taxi drove, or 8 miles + 100 miles = 108 miles.

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Complete question:

A tour begins walking along a 31-mile road to a mountain summit. He travels at a rate of 4 mph. After a while, he gets tired and calls a taxi. The taxi, traveling at a constant ped of 50 mph reached his destination 2 hours after he started walking, what distance doe he have to pay the taxi driver

The volume of a sphere is 36m in. Find the radius

Answers

Answer: The volume of a sphere can be calculated using the formula:

V = (4/3)πr^3

Where V is the volume and r is the radius of the sphere.

Given that the volume is 36 cubic inches, we can substitute into the formula:

36 = (4/3)πr^3

Dividing both sides by (4/3)π:

36 / (4/3)π = r^3

Taking the cube root of both sides:

r = ∛(36 / (4/3)π)

The radius of the sphere is approximately 2.74 inches.

Step-by-step explanation:

One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there? A. 37 humans and 98 horses B. 24 horses and 50 humans C. 31 horses and 74 humans D. 24 humans and 50 horses

Answers

Answer:

d

Step-by-step explanation:

D. 24 humans and 50 horses.

We can use a system of equations to solve for the number of horses (x) and number of humans (y):

x + y = 74 (the total number of heads)

y = 196 - 4x (the total number of legs, with each horse having 4 legs)

Substituting the second equation into the first:

x + (196 - 4x) = 74

5x = 122

x = 24.5 (number of horses rounded down to the nearest whole number)

y = 74 - x = 50 (number of humans)

Answer:

Answer should be

Step-by-step explanation:

The equation N(t) = 550/1+49e-0.7t models the number of people in a town who have heard a rumor after t days. As t increaseswithout bound, what value does N(t) approach? Interpret your answer. How many people started the rumor? ____________ N(t) approaches ____________. (a) N(t) is limited by the number of days it takes for the entire population to hear the rumor.(b) N(t) is limited by the rate at which the rumor spreads.(c) N(t) is limited by the carrying capacity of the town.(d) N(t) is limited by the number of poeple who started the rumor.(e) N(t) is not limited by any value and increases without bound.

Answers

N(t) approaches 550.

The equation N(t) = 550 / (1 + 49e^(-0.7t)) models the number of people in a town who have heard a rumor after t days. The equation describes the growth of the number of people who have heard the rumor over time. The e^(-0.7t) term in the denominator represents the rate of decay or the slowing down of the spread of the rumor as t increases. As t increases without bound, the exponential term approaches 0, so the fraction approaches 550 / (1 + 49 * 0) = 550 / 1 = 550.

This means that as time goes on, the number of people who have heard the rumor will approach 550, the limit or maximum value of N(t). This value is not limited by any of the factors mentioned in the options (b) to (e).

The number of people who started the rumor is not given in the equation and cannot be determined from the information provided.

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The lateral height of a cone is 4 inches and the area of the base of the cone is 49 in². It requires 2.5 minutes to paint the cone.
The area of the base is doubled.
How long will it take to paint this cone if it can be painted at the same rate? Use ≈ 3.14.
Enter your answer, rounded to the nearest tenth, in the box.

Answers

If the lateral height of a cone is 4 inches and the area of the base of the cone is 49 in². The time it take to paint this cone if it can be painted at the same rate is 3.5 minutes.

How to find the time?

The radius of the cone can be found using the formula for the area of a circle, A = πr^2

where:

r= radius

Rearrange this to solve for the radius:

r = √(A/π).

The original cone has a base area of 49 in², so:

r = √(49/π)

r ≈ 3 in.

The doubled cone has a base area of 2 * 49 in² = 98 in², so:

r = √(98/π)

r ≈ 4.5 in.

Hence,

Time  = 2.5 * (4.5/3)^(3/2)

Time ≈ 3.5 minutes

Therefore the time it take to paint this cone if it can be painted at the same rate is 3.5 minutes.

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