II. Problem Solving. Solve the following problems with complete solution. Diagram is also necessary to illustrate the solution: 45-52. (Derivatives of Exponential Function) Suppose that the sales of PC Printer increase rapidly and then gradually level off. Its sales is approximated by the growth function S(t)= 150,000-90000eª Where t is the number of years the product has been on the market. a. Find S(5). b. Find the rate of change of sales of the number of units of the product sold in the 5th year.

Q: 5. The number of new visits to a website is decreasing exponentially. It can be modeled by the…

A: Given function is : hd=21700.92d To find the average rate of change of h over the interval 2≤d≤4

Q: In 1991, the cost of mailing a 1 oz. first-class letter was 29 cents, and the inflation rate was…

A: We need to find out the year in which the cost of mailing a first class letter reach 60 cents.

Q: 1. A drug's effectiveness decreases over time. If each hour, a drug is only 90% as effective as…

A: The amount of the medication available t hours after the drug was administered is given by,…

Q: An initial investment of $10,000 grows at 11% per year. What function rep R) - 10,000(1.11)' A) -…

A: Initial Investment f(0)=$10,000 rate r=11% per year  time = t

Q: (Depreciation). Table 2 gives the market value of a luxury sedan (in dollars) x years after its…

A: Given information: Given data represents the values of the independent variable x and the dependent…

Q: 17. Create the equation of a function whose rate of change is always positive, but is decreasing as…

A: The rate of change of function is determined by the derivative of the function. If the derivative of…

Q: 2. The number of bacteria in a Petri dish increases by 18% every hour. If there were initially 200…

A: Given data is : Number of bacteria in petri dish is increases r=18% every hour Initial bacteria in…

Q: A new car costs $28, 000 depreciates to 70 % of its value in 2 years. Round all answers to 2 decimal…

A:

Q: This equation is all about the exponential growth and decay functions. In which “the population P…

A: Given:  The population P in thousands of Austin, Taxas, during a recent decade can be approximated…

Q: A: Would the graph of y 0.5x show exponential growth or exponential decay? B: Would the graph of y…

A:

Q: (Depreciation). Table 2 gives the market value of a luxury sedan (in dollars) x years after its…

A: Given information: Given data represents the values of the independent variable x and the dependent…

Q: (b) A virus is believed to be spreading through a sheep farm according to that equation 1 N = 450 (+…

A: (b). (i) The given equation is Nt=45011+249e-0.1t. Substitute t=0 in Nt=45011+249e-0.1t.…

Q: 1. A thermometer reading 18 °F is brought into a room where the temperature is 70 °F; 1 minute later…

A: Solve for the temperature

Q: A. What exponential equation, V(x) best fits the data, where x is the number of years after purchase…

A: Note that I used R software for calculations. Since B and D are right, I'll answer only A and C.

Q: Given the general equation of an exponential relation, y = a*, in your own words, describe how you…

A: In a exponential decay equation, y decreases as x increases and in a exponential growth equation y…

Q: When $1000 is invested at r% interest (compounded continuously) for 10 years, the balance is f (r)…

A: Consider that $1000 is invested at r% interest compounded continuously for 10 years. Calculate the…

Q: 3. The height of a rocket, h, is increasing at a rate of 18 feet per second. If its height at five…

A: The height of a rocket, h, is increasing at a rate of 18 feet per second. If its height at five…