The function f(t)=480(1.0085)12t​ represents the change in a quantity over t months. What does the constant 1.0085 reveal about the rate of change of the quantity? Fill in the blanks:  The function is ________ exponentially at a rate of ____% every ________

Q: decreasing. is increasing log x or Find the intervals in whichf(x)D

A:

Q: Find the value of the given exponential for the indicated values of the variable. 10t/2 (a) 10/2=…

A: 10t/2   , for t=-2 10-2/2 = 10-1=1/10= 0.110t/2   , for t=-2   10-2/2 = 10-1=1/10= 0.1

Q: Evaluation Construct the table and draw the graph of the functions y = (2/5)* and y = log{2/5) ×

A: Given: y=25x y=log2/5x

Q: During a flu epidemic in a small town, health officials estimate that the number of people infected…

A: After how many days will 800 people infected?

Q: The total spent on research and development by the federal government in the United States during…

A: Given Total money is represented by the function s(t)=3.1ln(t)+22  in billion dollars2≤t≤12

Q: Below is the graph of an exponential function,y=g(x). 400 y         300   (2,300)       200…

A: Let g(x)=ab^x

Q: Let n represent the number of years it will take for a population to double. Consider a population…

A: Doubling time is the time needed for the quantity to double in value for a specified constant growth…

Q: Consider the exponential function y = 3000(0.71)*. (a) Write the function in the form y aekt. NOTE:…

A:

Q: : Compound interest earns interest on interest. 2000 is invested at 6.5% per year gives the…

A: Since you have posted multiple questions and we can and answer one question. So, answered first…

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.