Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger and David Ellenbogen Book

Elementary Applied Calculus

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Links to Book Below:

1. Calculus And Its Applications, Brief Version 12th edition | Print ISBN - 9780135164884, eText ISBN - 9780135225103 | VitalSource

2. Bittinger, Ellenbogen, Surgent & Kramer, Calculus and Its Applications: Brief Version, 12th Edition | Pearson

In 2004 (t= 0), the world consumption of a natural resource was approximately 16 trillion cubic feet and was growing exponentially at about 8% per year. If the demand continues to grow at this rate, how many cubic feet of this natural resource will the world use from 2004 to 2009? The approximate amount of resource used is trillion cubic feet. (Round up to the nearest trillion.)In the year 2006 (t = 0), the world reserves of natural gas were approximately 5781 trillion cubic feet. In that same year, the world consumption of natural gas was approximately 103.7 trillion cubic feet, and was growing exponentially at about 1.9% per year. If the demand continues to grow at this rate, and no new reserves of natural gas are found, in what year will the world reserves of this resource be depleted? The world reserves will be depleted in the year (Round to the nearest year as needed.)The capitalized cost, c, of an asset over its lifetime is the total of the initial cost and the present value of all maintenance that will occur in the future. It is computed by the formula c = co + . m(t) e ""dt, where co is the initial cost of the asset, L is the lifetime (in years), r is the interest rate (compounded continuously), and m(t) is the annual cost of maintenance. Find the capitalized cost under the following set of assumptions. Co = $300,000, r = 5%, m(t) = $30,000, L = 10 c= $ (Round to the nearest dollar as needed.)