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Math
Mathematical Applications for the Management, Life, and Social Sciences11th Edition

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Chapter 13.4, Problem 2E
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Mathematical Applications for the ...

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

Solutions

Chapter
Section
Problem 1CP
Problem 2CP
Problem 3CP
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
BuyFindarrow_forward

Mathematical Applications for the ...

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

Find the total income over the next 8 years from a continuous income stream with an annual rate of flow at time t given by f ( t ) =   8500 e − 0.2 t

(dollars per year).

To determine

To calculate: The total income for next 8 years from continuous income stream for an annual rate of flow f(t)=8500e−0.2t dollars per year, where, t is the time in years.

Explanation

Given Information:

The annual rate of flow is provided by the function f(t)=8500e−0.2t dollars per year.

Where, t is the time in years.

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,

Total income=∫0kf(t)dt

Calculation:

Consider the provided function,

f(t)=8500e−0.2t

Since, the income to be calculated for next 8 years.

So, the value of k is,

k=8

Consider the formula,

Total income=∫0kf(t)dt

Substituting 8 for k and 8500e−0.2t for f(t) to get:

Total income=∫08(8500e−0

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