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A company estimates that its annual sales during the first t years of operation can be...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below. a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation. c. What is happening to the annual profit over the long run? A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below. 3 P'(t) = (5t + 5)(2+ + 2 +2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation. c. What is happening to the annual profit over the long run?
A company estimates that its sales will grow continuously at a rate given by the function S'(t) = 10 et where S'(t) is the rate at which sales are increasing, in dollars per day, on day t a) Find the accumulated sales for the first 3 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) 1. a) The accumulated sales for the first 3 days is $ (Round...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below P'(t) = (6t+6)(?? +21+2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation c. What is happening to the annual profit over the long run? a. The profit in the first three years is $ (Round to the nearest dollar as needed.)
Suppose that a vending machine service company models its income by assuming that money flows continuously into the machines, with the annual rate of flow given by f(t) = 180e0.04t in thousands of dollars per year. Find the total income from the machines over the first 5 years. (Round your answer to the nearest thousand dollars.) thousand dollars
A company is considering a new manufacturing process in one of its plants in an effort to save money. The company estimates that the rate of savings can be modeled by S (x ) = 125 – x2 where x is time in years and S (x ) is given in thousands of dollars per year. At the same time, the company's operating costs will increase, and the company estimates that the rate at which costs will increase can be...
The rate of sales of a certain brand of bicycle by a retailer in thousands of dollars per month is given by s(t) = 28t – 0.3342 where t is the number of months after an advertising campaign has begun. (a) Find the amount of sales, in thousand of dollars, for the first six months after the start of the advertising campaign. Give you answer to three decimal places. $ 432.720 X thousand dollars (b) Find the average sales per...
A company that services a number of vending machines considers its income as a continuous stream with an annual rate of flow at time t given by f(t) = 140e−0.4t in thousands of dollars per year. Find the income from this stream over the next 4 years. (Round your answer to one decimal place.) thousand dollars
11. The annual revenue-growth rates for a new tech startup during its first six years of operation were as follows: Year 1 90% Year 2 30% Year 3 20% Year 4 10% Year 5 -30% Year 6 -40% Rounded to the nearest tenth of one percent, the startup's 6-year Compound Annual Growth Rate was O 3.3% 4.8% 11.7% 5.4% None of the above
12. 0/1.53 POINTS PREVIOUS ANSWERS The rate of sales of a certain brand of bicycle by a retailer in thousands of dollars per month is given by s(e) - 38+ - 0.3322 where t is the number of months after an advertising campaign has begun. (a) Find the amount of sales, in thousand of dollars, for the first four months after the start of the advertising campaign. Give you answer to three dec $ 708.25 X thousand dollars (b) Find...