he function f(t)=1.4t + 17.2 can be used to estimate the yearly sales of tennis equipment, in billions of dollars, as a function of time, in years, measured from 1985

Q: As a car ages, its value decreases. The value of a particular car with an original purchase price of…

A: we need to answer the questions from the given function

Q: According to the Association of American Railroads, Class I freight railroads are the line-haul…

A: The average rate of change per year in F from 2005 to 2007 is $4.2 billion/year.

Q: The number of people who have attended theme and amusement parks has grown approximately…

A:

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: A farm in Canada had 218 alpacas on January 1, 2004. After 8 years, the alpaca population decreases…

A: This question is based on exponential function.

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: A certain breed of mouse was introduced into a small island with an initial population of 320 mice,…

A: Here is the Answer and Explanation

Q: Find the number of pounds of salt in the tank as a function of time.

A:

Q: An investment of $100 is placed into an account that earns interest, compounded annually,at a rate…

A:

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: The following table gives the monthly premiums for an insurance policy on people of various ages. a.…

A: The linear regression technique is used to fit a dataset into a linear equation of the form: y=a+bx.…

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: The function bn is given by:                      bn=2.520n million gallons where, bn represents the…

Q: The population of a town in Texas is modeled by the function f(x)=16,869(1.037)x. If the initial…

A: We have given population modeled by the function  f(x)=16869(1.037)^x For initial population put x=0…

Q: What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?

A: Here we have to find the linear and exponential functions whose graphs contain the points (0,4) and…

Q: The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is…

A:

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.