Which of the Following Functions Is a Solution of the Differential

question 20

Multiple Choice

Which of the following functions is a solution of the differential equation?
$$y ^ { tt } + 16 y ^ { t } + 64 y = 0$$

• A) \(y = e ^ { t }\)
• B) \(y = t e ^ { - 3 t }\)
• C) \(y = 6 e ^ { - 8 t }\)
• D) \(y = e ^ { - 8 t }\)
• E) \(y = t ^ { 2 } e ^ { - 8 t }\)

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Definitions:

NPV

Net Present Value; a calculation used to determine the value of an investment by subtracting the present values of cash outflows (including initial cost) from the present values of cash inflows over a period of time.

IRR

Internal Rate of Return; the discount rate that makes the net present value (NPV) of all cash flows from a particular project equal to zero.

Cost of Capital

The required return necessary to make a capital budgeting project, such as building a new plant, worthwhile.

Capital Rationing

In capital budgeting, the process of allocating available capital among projects to maximize total NPV.