castiel3887 castiel3887
  • 11-01-2018
  • Mathematics
contestada

If the value of land in an area is increasing 8.5 percent a year, how long will it take for property values to double?

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W0lf93
W0lf93 W0lf93
  • 24-01-2018
The formula y= a(1.085^t) can be used to determine the value of the property (y) after a given number of years (t), based on an initial value (a). Since the valueis to double, substituting 2a for y gives us 2a = a(1.085^t), for which the a's cancel. Taking the natural log of both sides gives ln(2)=t ln(1.085). Solving for t gives approximately 8.5 years.
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