   Chapter 13, Problem 46RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Income streams Find the total income over the next 10 years from a continuous income stream that has an annual flow rate at time t given by f ( t ) = 125 e 0.05 t in thousands of dollars per year.

To determine

To calculate: The total income over the next 10 years from a continuous income stream that has an annual flow rate at time t given by f(t)=125e0.05t in thousands of dollar per year.

Explanation

Given information:

The total income over the next 10 years from a continuous income stream that has an annual flow rate at time t given by f(t)=125e0.05t in thousands of dollar per year is to be determined.

Formula used:

According to the Total income of a Continuous Income Stream:

If the rate of receipt of revenue is f(t) dollars per unit of time, then the total income received for k year time is:

TI=0kf(t)dt

Calculation:

Consider the income equation,

f(t)=125e0.05t

Since, the total income over the next 10 years is to be determined.

Thus, k=10

Use the formula of total income as,

TI=010(125e0

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