1. Assume that net investment at time t is given by I (t) = 12t¹/2.(a) Find the change in the capital stock during the following time intervals:1.[0, 1]

Given the net investment at time t is It = 12 t12 The change in…

Answered: 1. Assume that net investment at time t…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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4. Two investments, A and B, produce a continuous income stream of 3%, compounded continuously. The rate of flow of income from investment A is f(t) = 2000e0.03t and the rate of flow of income from investment B is expected to be g(t) = 3000. (a) Find the total income produced by each of the two investments over the 5-year period. (b) Find the future value, the accumulated amount of money flow, of each of the two investments for 5 years. (c) Compute the interest earned by each investment over the 5-year period. (d) Find the present value of each of the two investments. (e) Interpret the answers determined in (a) to (d)
Suppose that P0 is invested in a savings account where interest is compounded continuously at 3.1% per year. A).Express P(t) in terms of Po where 0.031 is the rate. B).When will an investment of $1000 double itself ?
A young person with no initial capital invests k dollars per year at an annual rate of return r. Assume that investments are made continuously and that the return is compounded continuously. a.Determine the sum S(t) accumulated at any time t.
answer for this one
3. In the exponential function h(t) = a (b)' it is known that h(4)=6 and h(8)=0.5. Which of the following is closest to the value of b? (1) 11.5 (3) 0.54 (2) 0.88 (4) 0.25

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1. Assume that net investment at time t is given by I (t) = 12t¹/². (a) Find the change in the capital stock during the following time intervals: 1. [0, 1]