
Linear Depreciation of an Asset In computing income tax, businesses are allowed by law to depreciate certain assets such as buildings, machines, furniture, and automobiles over a period of time. Linear depreciation, or the straightline method, is often used for this purpose. Suppose an asset has an initial value of $C and is to be depreciated linearly over n years with a scrap value of $S. Show that the book value of the asset at any time t(0 ≤ t ≤ n) is given by the linear function
Hint: Find an equation of the straight line that passes through the points (0, C) and (n, S). Then rewrite the equation in the slope-intercept form.

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Chapter 2 Solutions
APPLIED CALCULUS+ACCESS+LOOSE LEAF
- A tank holds a 135 gal solution of water and salt. Initially, the solution contains 21 lb of salt. A salt solution with a concentration of 3 lb of salt per gal begins flowing into the tank at the rate of 3 gal per minute. The solution in the tank also begins flowing out at a rate of 3 gal per minute. Let y be the amount of salt present in the tank at time t. (a) Find an expression for the amount of salt in the tank at any time. (b) How much salt is present after 51 minutes? (c) As time increases, what happens to the salt concentration?arrow_forwardSolve please and thanks!arrow_forwardSolve please and thanks!arrow_forward
- The graph of the function f in the figure below consists of line segments and a semicircle. Let g be the function given by x 9(x) = * f(t)dt. Determine all values of r, if any, where g has a relative minimum on the open interval (-9, 9). y 8 7 6 5 4 32 1 Graph of f x -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 -1 -2 -3 -4 -5 -6 678 -7 -8arrow_forwardSolve pleasearrow_forwardA particle moves along the x-axis for 0 < t < 18 such that its velocity is given by the graph shown below. Find the total distance traveled by the particle during the time interval 4 ≤ t ≤ 8. 8 y 7 6 5 4 32 1 6 7 -1 1 2 3 4 5 -1 -2 -3 -4 56 -6 -8 8 00 Graph of v(t) x 9 10 11 12 13 14 15 16 17 18 19arrow_forward
- Using the Chain rule please and thank youarrow_forward10. [-/3 Points] DETAILS MY NOTES SESSCALCET2 7.2.047. Consider the following. aR- br (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure) with radii br and aR. (Let a 8 and b = 2.) = dy (b) By interpreting the integral as an area, find the volume V of the torus. V = Need Help? Read It Watch Itarrow_forwardGraph y= log(x − 1) +4 10+ 9 8 7 6 5 4 32 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 -1 6 7 8 9 10 -2 -3 -4 -5 -6 -7 -8 -9 -10arrow_forward


