- #1

lmlgrey

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**1. It is estimated that x years from now the value of an acre of farmland will be increasing at the rate of [tex]\frac{0.4x^3}{sqrt(0.2x^4+8000)}[/tex] dollars per year. If the land is worth 500 per acre, how much will it be worth in 10 years?**

**2. Use integral**

**Since the the function of money of time is the integral of the rate given, i integrated the function 0.4x**

^3/sqrt(0.2x^4+8000)...The answer therefore represents D(t) (Dollar Vs. Time)... Then I substitue 10 years into the function, I got how much is it worth in 10 years. but the question is, what's the use of the detail "now its worth 500 per acre"? should i add 500 to the answer i have now? thanks!

^3/sqrt(0.2x^4+8000)...The answer therefore represents D(t) (Dollar Vs. Time)... Then I substitue 10 years into the function, I got how much is it worth in 10 years. but the question is, what's the use of the detail "now its worth 500 per acre"? should i add 500 to the answer i have now? thanks!