Suppose we have a revenue function given by R(z) = 6z- az?, %3D = 10? where a is a constant. What would the value of a need to be to have an average revenue of $20 when a =

Q: The function f(t) = 85000(.92)' represents the value of your truck after t years. a) Does the…

A: We have to use properties of exponential decay function to solve the question

Q: The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole…

A: Years

Q: Given a revenue function R(x)=1,000+x2−e2x, calculate the average revenue when x=3. Give your…

A: Given: Revenue function given by: R(x) = 1000 + x2 - e2x To Find: Average Revenue when x = 3 Formula…

Q: Q1) The growth rate of a certain strain of bacteria is unknown, but assumed to be proportional to…

A: The exponential growth or decay is modelled using the formula: Nt=N0ekt, where N(t) is the…

Q: If the population of a country doubles in 90 years, in how many years will it treble under the…

A:

Q: The function h(x)=5000⋅(1.08)^x, represents a loan taken out by a college student. x represents time…

A:

Q: suppose that the population (in millions of people) of a country is described by P(t)= 8.2(1.019)^t,…

A:

Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the…

A: Given that demand function is: p(x) = 20.9 - 1.6x we need to write the revenue function.

Q: There are 100 bacteria in a Petri dish. The number of bacteria doubles every hour. How many bacteria…

A: The y-intercept of a function is the point where the graph of the function intersects the y axis.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.