Political Fundraiser A politician raises funds by selling tickets to a dinner for $600. The politician pays $180 for each dinner and has fixed costs of $7,000 to rent a dining hall and wait staff. Write the profit P (in dollars) as a function of x, the number of dinners sold. P(x) = Show that the derivative of the profit function is a constant and is equal to the increase in profit from each dinner sold. P'(x) = which equals the -Select---

Q: Suppose the income from an Internet access business is a continuous income stream with annual rate…

A: We have given the rate of annual flow,f(t)=900 t e-0.1t

Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

A:

Q: A roofer, Anita Shin-Gulls, is re-shingling a house in Richmond Hill. The roof is 1500 cm above the…

A:

Q: The monthly sales of Sunny Electronics’ new iSun media player is given by q(t)=1,077t−64t^2 units…

A: The monthly sales of Sunny Electronics’ new iSun media player is given by, qt=1077t-64t2 The price…

Q: Water flows into a reservoir at a rate of 500 + 7t2 gallons/hour. There is a hole in the reservoir…

A:

Q: d(p) = 500e^-0.1p

A: Sketch the graph of R(p) = p.d(p)

Q: T(x)= 21 + 25ln (x+1) Find the expression for T^-1 (x)

A:

Q: hich process best describes graphing the function g(x)=140(0.5)^x/4 on the coordinate p

A: Given,                   g(x)=1400.5x4

Q: A bacterial culture began with 7500 bacteria it's growth can be modeled using an expotential…

A: N = 7500·2t36 Now, when t = 72 N = 7500·27236 N = 7500·22 N = 7500×4 = 30000

Q: Calculate the area A of the region between the two curves x = y +2y and x = y + 12. (Express your…

A:

Q: Please assist with the steps for the problem below    A women's clothing chain store, found that t…

A: S(t) = 5,000(1+e^0.3t)Rate of change can be found using derivative.

Q: f(x)= -2x2 + 3 from x = 2 to x = 5 Average rate of change =

A:

Q: R=2x(500+34x-x^2) find the marginal revenue when x=14

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: