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Problem 70

(See Exercise 68.) A business tenant spends 40 dollars per square foot on improvements to a \(25,000-\mathrm{ft}^{2}\) office space. Under IRS guidelines for straightline depreciation, these improvements will depreciate completely- that is, have zero salvage value-after 39 yr. Find the depreciated value of the improvements after 10 yr.

Problem 70

Solve for \(y\) in terms of \(x\). Decide whether the resulting equation represents a function. $$2 x+y-16=4-3 y+2 x$$

Problem 70

Rewrite each of the following as an equivalent expression using radical notation. $$\left(x^{2}-3\right)^{-1 / 2}$$

Problem 71

Rewrite each of the following as an equivalent expression using radical notation. $$\frac{1}{t^{2 / 3}}$$

Problem 71

Solve for \(y\) in terms of \(x\). Decide whether the resulting equation represents a function. $$2 y^{2}+3 x=4 x+5$$

Problem 71

(See Exercise 68.) The Video Wizard buys a new computer system for \(\$ 60,000\) and projects that its book value will be \(\$ 2000\) after 5 yr. Using straight- line depreciation, find the book value after 3 yr.

Problem 72

Solve for \(y\) in terms of \(x\). Decide whether the resulting equation represents a function. $$\left(4 y^{2 / 3}\right)^{3}=64 x$$

Problem 72

Rewrite each of the following as an equivalent expression using radical notation. $$\frac{1}{w^{-4 / 3}}$$

Problem 72

Tyline Electric uses the function \(B(t)=-700 t+3500\) to find the book value, \(B(t),\) in dollars, of a photocopier \(t\) years after its purchase. a) What do the numbers -700 and 3500 signify? b) How long will it take the copier to depreciate completely? c) What is the domain of \(B\) ? Explain.

Problem 73

Simplify. $$9^{3 / 2}$$

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