Statistics Solutions

(See) LAND VALUE. It is estimated that r years from now. the value V(x) of an acre of farmland will be increasing at the rate of V^prime(x)=(0,4 r^3)/(√0.2

Question: LAND VALUE. It is estimated that r years from now. the value \(V(x)\) of an acre of farmland will be increasing at the rate of

\[V^{\prime}(x)=\frac{0,4 r^{3}}{\sqrt{0.2 x^{4}+8,000}}\]

dollars per year. The land is currently worth $500 per acre

  1. Find \(\mathrm{V}(\mathrm{x})\)
  2. How much will the land be worth in 10 years?
  3. Use the graphing utility of your calculator with TRACE and ZOOM to determine how long it will take for the land to be worth $\$ 1,000$ per acre,

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Solution: The downloadable solution consists of 2 pages
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