Chapter 4.2, Problem 68PE

(a)

To determine

To Calculate: Evaluate $A\left(15\right)$ and interpret its meaning in the context of the problem, if $A(t)=100e^{0.0318t}$ approximates the equivalent amount of money needed t years after the year $2010$ to equal $\$100$ of buying power in the year $2010$.

(b)

To determine

To Calculate: Verify that by the year 2032, more than $200 will be needed to have the same buying power as $100 in 2010 for the $A(t)=100e^{0.0318t}$ approximates the equivalent amount of money needed t years after the year $2010$ to equal $\$100$ of buying power in the year $2010$.