   Chapter 5.4, Problem 75E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Cost The total cost of purchasing a piece of equipment and maintaining it for x years can be modeled by C = 5000 ( 25 + 3 ∫ 0 x t 1 / 4 d t ) Find the total cost after (a) 1 year, (b) 5 years, and (c) 10 years.

(a)

To determine

To calculate: The total cost of purchasing a piece of equipment which is given by function c(t)=500(25+30xt1/4dt) after 1 year.

Explanation

Given Information:

The total cost of purchasing a piece of equipment is given by function c(t)=500(25+30xt1/4dt).

Calculation:

The total cost of purchasing a piece of equipment is,

c(x)=500(25+30xt1/4dt)=5000(25+[125t5/4

(b)

To determine

To calculate: The total cost of purchasing a piece of equipment which is given by function c(t)=500(25+30xt1/4dt) after 5 year.

(c)

To determine

To calculate: The total cost of purchasing a piece of equipment which is given by function c(t)=500(25+30xt1/4dt) after 10 years.

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