(b) A continuous stream of income is being produced at the rate of 100t + 5000...
The income from an established chain of laundromats is a continuous stream with its annual rate of flow at time t given by f(t) = 120,000 (dollars per year). If money is worth 3% compounded continuously, find the present value and future value of this chain over the next 5 years. (Round your answers to the nearest dollar.) present value $ future value $
Suppose that a printing firm considers its production as a continuous income stream. If the annual rate of flow at time t is given by f(t) = 93.9e−0.8(t + 3) in thousands of dollars per year, and if money is worth 6% compounded continuously, find the present value and future value (in dollars) of the presses over the next 10 years. (Round your answers to the nearest dollar.) present value$ future value$
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
Find the present value of a continuous stream of income over 2 years when the rate of income is constant at $35,000 per year and the interest rate is 4%.
2. The income from a new chain of bubble tea breweries called "Dubble Bubble is projected to be a continuous income stream with a rate of income function f(t)330,000 15,000t dollars per year, where time t is measured in years, with t being now. Assume money can earn interest of 4% p.a. compounded continuously. Hint: for the integrals below there is a factor of 1000 you should take out the front. (a) What is the total income from the bubble...
Find the Total Income for a Continuous Stream Question A company models income, measured in thousands of dollars, using the continuous stream f(t) 2001 t ln(t)| for t > 0, where t is measured in years. What is the total revenue generated in the first two years? Give your answer in thousands of dollars. When giving your answer, use numbers only. Do not include the dollar symbol, commas or anything to denote thousands in your answer. Hint: You may use...
An heiress receives an income stream from a will at a rate of f(t) = 20,000e0.026t dollars per year. She invests this income and earns 4.6% interest (compounded continuously). (Round your answers to two decimal places.) (a) What is the future value of the income after ten years? (b) Compute the present value of the income over a ten year period. $ 181269 x Need Help?
A recently-installed machine earns the company revenue at a continuous rate of 60,000t+45000 dollars per year during the first six months of operation and at the continuous rate of75000 dollars per year after the first six months. The cost of the machine is 161000 , the interest rate is 7% per year, compounded continuously, and T is time in years since the machine was installed. (a) Find the present value of the revenue earned by the machine during the first...
A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by f(t) = 4000e0.002t (dollars per month). When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period (t = 6 to t = 12). (Round your answer to the nearest dollar.)
= 7000€0.004 A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by f(t) (dollars per month). When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period (t = 6 to t = 12). (Round your answer to the nearest dollar.) $