Solve the problem. Round your answer to the nearest whole number.The capital value of an asset is defined as , where k is the annual rate of interest compounded continuously and R(t) gives the annual rate at which earnings are produced by the asset at time t. Suppose an asset produces a perpetual stream of income with a flow rate of R(t) = 1200e0.03t . Find the capital value at an interest rate of 7% compounded continuously.

A. $30,000
B. $40,000
C. $12,000
D. $17,142


Answer: A

Mathematics

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What will be an ideal response?

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Find the work done by a force F = + 5j + 7k that moves an object from the point (3, 0, 5) to the point (8, 6, 11) along a straight line. The distance is measured in meters and the force in newtons.

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Express the integrand as a sum of partial fractions and evaluate the integral.

A. - + 3ln + 3ln + C
B. -6 ln  + tan-1  + C
C. -6 ln + 3ln + 3ln + C
D. 6 ln - 3ln - 3ln + C

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Solve.x + 15.1 = 38.5

A. 23.4 B. 27.4 C. 24.4 D. 22.9

Mathematics