The function used to determine the weekly earnings of an employee at Jack's Burger Palace is given by f(x) where x is the number of hours worked. 0 40 Determine the difference in earnings for an employee who works 55 hours versus one who works 36 hours.

Q: The value, V, of a computer can be modeled by the function V (t) = 1, 300(.61)", where t is the…

A: The given model is: V(t)=1333(0.61)t Where, t is in years.

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: Let, l = the length of one side of the rectangular field w = the length of the other side.

Q: T represent the number of years in 2000. I’m 2005 t= 5 there were 9.3 billion monthly text messages.…

A: Given function :

Q: In the year 2000, about 98.7% of households had telephone landlines. The number has decreased with…

A:

Q: Graph the function f(x) = x-1

A: f(x)=x-1 For x-intercept: f(x)=0 =>x-1=0 =>x=1 For y-intercept: x=0 f(0)=0-1 =>f(0)=-1

Q: A bathtub that intially holds 65 gallons of water starts draining at rate of 8 gallons per minute.…

A: Construct a function for the number of gallons of water W (t) in the tub after t minutes of draining…

Q: The price of 1 L of gasoline is $1.85. On a level road, Bruce's car uses 0.08 L of fuel for every…

A:

Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

A:

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: Based on data from Hurricane Katrina, the function defined by w(x) = -1. 19x +990 gives the wind…

A:

Q: Suppose an investment of $3,800 doubles in value every decade. The function (x) = 3,800 - 2"…

A: Given, after x decades the value of the investment is f(x) = 3800·2x We have to find the investment…

Q: Determine whether the relation represents y as a function of x.     x^2 + y^2 = 25   How would I…

A: Given: x2+y2=25 We can write, y2=25-x2⇒y=±25-x2

Q: The amount of foreign earnings (in trillions of dollars) kept overseas can be approximated by the…

A: Given, The amount of foreign earnings kept overseas can be approximated by the function f(x) =…

Q: A ball is dropped from a height of 40 feet. The function f(x)=40(0.6)xf(x)=40(0.6)x gives the height…

A: This is a problem related to the power function. Here height of the ball at each bounce is given in…

Q: is the point (3,-5) on the graph of function f(x)=3/2x-8? yes, no, impossible to determine

A: To decide if the given point lies on the graph: in other words, does the point satisfy the given…

Q: What is the function.  Is it 30 - (1/1000)x

A: We have to determine the function.

Q: The following represents which type of function: H(x) = 4x³ 4х3

A: To determine the type of function.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.