One of the methods that the Internal Revenue Service allows for computing depreciation of certain business property is the sum-of-the-years'-digits method. If a property valued at $ C $ dollars has an estimated useful life of $ N $ years and a salvage value of $ S $ dollars, then the amount of depreciation $ D_n $ allowed during the $ n $th year is given by:\[D_n = (C - S) \frac{N - (n - 1)}{S_N} \quad (0 \leq n \leq N)\]where $ S_N $ is the sum of the first $ N $ positive integers. Thus,\[S_N = 1 + 2 + \cdots + N = \frac{N(N + 1)}{2}.\]The amount of depreciation allowed for a printing machine, which has an estimated useful life of 5 years and an initial value of \$450,000 (with no salvage value), is \$90,000/year using the straight-line method of depreciation. Determine the amount of depreciation that would be allowed for the first year if the printing machine were depreciated using the sum-of-the-years'-digits method described above. (Round your answer to the nearest cent.)\[ \$ \underline{\hspace{2cm}} \]Which method would result in a larger depreciation of the asset in its first year of use?- ○ straight-line method- ○ sum-of-the-years'-digits method

Answered: Image /qna-images/answer/202ebd98-adda-4673-966d-0d2a7a2f2537.jpg

Answered: One of the methods that the Internal…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.57 cents. For each day the first 10 kWh cost 4.81 cents per kWh and any additional kWhs are 9.69 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.) (a) Complete the following table using the information provided above. kWhkWh 0 5 10 15 20 cost (dollars)cost (dollars) kWhkWh 25 30 35 40 cost (dollars)cost (dollars) (b) We can define a piecewise function f(x)f(x) where xx is the kWh used in a day and f(x)f(x) is the cost, in dollars. This function would have the form f(x)={g(x)h(x)ififx∈Ax∈Bf(x)={g(x)ifx∈Ah(x)ifx∈B What functions g(x)g(x) and h(x)h(x) make up the piecewise function f(x)f(x)? g(x)=g(x)= for A = h(x)=h(x)= for B = Hint: A and B are intervals. If an interval uses ±∞±∞ write inf or -inf . (c) Using the above function, what is the cost of 26 kWh? dollars. (d) For 3 dollars, what is the maximum kWh usage for one…
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.0984x=x/(0.001-x)(0.0002-x)
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Suppose that with a certain phone company, an international long distance phone call from Canada to Brazil costs $0.90 for the first minute (up to and including 60 seconds), plus $0.50 for each additional minute or part of a minute. Note: "Part of a minute" means that if a new minute is started even just by one second, a full minute is charged. For example, a 5 min 1 sec phone call costs the same as a 5 min 50 sec phone call and the same as a 6 min O sec phone call. Suppose C (t) is the function that gives the cost of making a t minute long phone call. On a piece of paper, sketch a graph showing C (t) (with C on the y-axis and t on the a-axis). Then use your graph to evaluate each of the following: (Write DNE for undefined.) C (2.5) [ Select ] C (4) = [ Select ] lim C (t) [ Select ] 2+3.1 lim C (t) [ Select ] lim C (t) = [ Select ] lim C (t) = [ Select ]
4F 13
Marwan provides a donation of $6556 to a college with the provision that a scholarship is paid at the end of each year. If the money is invested at 11.6% compounded annually, then the annual scholarship is: O 1901.24 O 1140.74 O 760.50 O380.25 O 1520.99 If f(x) – x* and g(x) = 10- 3x, then the value of f(5) + g(5) is 130 0.125 120
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