A business uses straight-line depreciation to determine the value y of a piece of machinery over a 10-year period.Suppose the original value (when t = 0) is equal to $37,000 and its value is reduced by $3700 each year. Write thelinear equation that models the value y of this machinery at the end of year t.The linear equation models the value y of the machinery at the end of year t.(Type an equation. Do not factor.)

To solve this problem, we need to use the concept of straight-line depreciation, which is a method…

Answered: A business uses straight-line…

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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If $4000 is invested for t years at 8% interest compounded continuously, the future value is given by S = 40000.08 dollars. Complete parts (a) through (c). (a) Graph this function for 0≤t≤15. Choose the correct graph below. 15 15 洱海 B. 34,000 A. 34,000 © C. AS 34,000 (b) Use the graph to estimate when the future value will be $12,000. Choose the correct answer below. B. t≈ 13.73 years A. t≈ 12.73 years (c) Complete the following table. t (Year) S ($) 8 7,585.92 (Round to the nearest whole number as needed.) Complete the following table. t (Year) 5 S ($) 25 (Type an integer or decimal rounded to two decimal places as needed.) D. AS Q 34,000 G 0 15 0+ 0 15 C. t≈ 14.73 years OD. t≈27.46 years
Electrical service costs $6 per month plus $0.10 per kilowatt-hour of electricity used. (Assume that a partial kilowatt-hour is not rounded up.) (a) If the resident of an apartment uses 700 kilowatt-hours in 1 month, what is the charge? (b) Write an equation in slope-intercept form that gives the cost C of using x kilowatt-hours in 1 month. (c) If the monthly electrical bill for the apartment's resident is $36, how many kilowatt-hours were used?
A small business purchases a piece of equipment for $465. After 3 years the equipment will be outdated, having no value. (a) Write a linear equation giving the value y of the equipment in terms of the time x, 0 S x < 3. y = (b) Find the value of the equipment when x = 2. %$4 (c) Estimate (to two-decimal-place accuracy) the time when the value of the equipment is $200. yr
A programmable calculator or a computer will be useful for this problem. Find the exact solution of the given initial value problem. Then apply the improved Euler method twice to approximate this solution on the given interval, first with step size h = 0.01, then with step size h=0.005. Make a table showing the approximate values and the actual value, together with the percentage error in the more accurate approximations, for x an integral multiple of 0.2. xy' = 9x - 2y, y(1) = 6; 1 ≤ x ≤2 Find the exact solution of the given initial value problem. y(x) =
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
EX.1
A certain machine is depreciated linearly over time. Initially the machine was purchased in 2012 for $250000 and will have a scrap value of $18000 in 8 years. Write an equation that gives the book value of this machine x years after it purchased. What is the book value in 2016?

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