Question

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)=98.3e −0.8(t+3)

answers to the nearest dollar.) present value future value

Answer 1

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Step-by-step explanation:

The given function f(t) = 98.3e^(-0.8(t+3)) represents the annual rate of flow at time t for a printing firm, where t represents the number of years. To find the present value and future value, we need to integrate the function over a specific time interval.

To find the present value, we integrate the function f(t) over the desired time interval. Let's say we want to find the present value from time t = 0 to t = T years. The integral of f(t) with respect to t from 0 to T is given by:

PV = ∫[0 to T] f(t) dt

To find the future value, we need to multiply the annual rate of flow by the number of years and integrate over the desired time interval. Let's say we want to find the future value from time t = 0 to t = T years. The integral of t * f(t) with respect to t from 0 to T is given by:

FV = ∫[0 to T] t * f(t) dt

By evaluating these integrals, we can find the present value and future value for the given function. However, it's important to note that without specific values for T, we cannot provide the exact answers. We can only calculate them once the time interval is specified.