Chapter 5.7, Problem 75E

a)

To determine

To calculate: The exponential function of the form $y=a{e}^{bt}$ that models the data according to which, after $1$ year of depositing money in savings account, the account was worth $\$4467.90$ and after $3$ years, the account was worth $\$4937.80$.

b)

To determine

To calculate: The differential equation in the form $\frac{dA}{dt}=kA$, including the initial condition at time $t=0$, to model the data according to which, after $1$ year of depositing money in savings account, the account was worth $\$4467.90$ and after $3$ years, the account was worth $\$4937.80$.