## College Algebra (6th Edition)

a. $1\%$ b. 69 years
Exponential growth model: $A=A_{0}e^{kt} \qquad(k>0)$ ($A_{0}$ is the initial quantity, $A$ is the quantity after time t). ----------- a. Reading k directly from the model $A=4.3e^{0.01t},$ $k=0.01$, ( New Zealand's growth rate is $1\%$) $\mathrm{b}$. Using the given formula for doubling time, $t=\displaystyle \frac{\ln 2}{0.01}\approx$69.314718056 To the nearest whole year: 69 years.