Chapter 12.2, Problem 49PE

(a)

To determine

To calculate: The amount in the account after 5 years when beginning with $\$1000$ investment, the investment doubles in 7 years, then amount in the account is denoted by the function $A\left(t\right)=1000{\left(2\right)}^{\raisebox{1ex}{$t$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}$ in t years.

(b)

To determine

To calculate: The amount in the account after 10 years when beginning with $\$1000$ investment, the investment doubles in 7 years, then amount in the account is denoted by the function $A\left(t\right)=1000{\left(2\right)}^{\raisebox{1ex}{$t$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}$ in t years.

(c)

To determine

To calculate: The value of $A\left(0\right)\text{and }A\left(7\right)$ from the function, $A\left(t\right)=1000{\left(2\right)}^{\raisebox{1ex}{$t$}\!\left/ \!\raisebox{-1ex}{$7$}\right.}$ and interpret the amount from the results.