Chapter 6.2, Problem 38E

Depreciation of Real Estate A property with an appraised value of $\$200,000$ in $2015$ is depreciating at the rate $R\left(t\right)=-8e^{-0.04t}$, where $t$ is in years since $2015$ and $R\left(t\right)$ is in thousands of dollars per year. Estimate the loss in value of the properly between $2015$ and $2021$(as $t$ varies from $0$ to $6$).