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. Find the capital value of an asset that produces $5000 yearly income at 8% compounded continuously.

A. $71,429
B. $65,000
C. $60,500
D. $62,500


Answer: D

Mathematics

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Sketch the graph of the function. ? ?

A. ?


B. ?


C. ?


D. ?


E.

Mathematics

Find the average rate of change for the function over the given interval.y = x2 + 8x between x = 5 and x = 8

A.
B.
C. 21
D. 16

Mathematics

Add or subtract as indicated. Express the answer as a single polynomial in standard form.(10x2 - 10) - (-x3 - 7x2 + 9)

A. 11x3 - 17x2 - 9 B. x3 + 17x2 - 19 C. x3 + 3x2 - 1 D. 11x3 - 7x2 - 19

Mathematics

Solve the problem.A box contains 4 slips of paper, on each of which is written the number 1, 2, 3, or 4, respectively. A slip is drawn, and the number on it is noted. That slip is put aside, and another slip is drawn and the number on it noted. What is the probability thata) the sum of the two numbers is 5?b) the first number drawn is a 2 and the second number is not 5?c) the sum of the two numbers is not 10?

A. a)   b)   c) 0
B. a)   b)   c) 0
C. a)   b)   c) 1
D. a)   b)   c) 1

Mathematics