Write the word or phrase that best completes each statement or answers the question.
-In the formula $\mathrm { N } = \mathrm { Ie } k t , \mathrm {~N}$ is the number of items in terms of an initial population I at a given time $\mathrm { t }$ and $\mathrm { k }$ is a growth constant equal to the percent of growth per unit time. How long will it take for the population of a certain country to triple if its annual growth rate is $7.3 \%$ ? Round to the nearest year.
A) $15 \mathrm { yr }$
B) $7 \mathrm { yr }$
C) $1 \mathrm { yr }$
D) $41 \mathrm { yr }$

Question

Quizplus · Accepted Answer

To find the time it takes for the population to triple, we set $N = 3I$, where $I$ is the initial population. Using the given formula $N = Ie^{kt}$ and substituting the values, we get $3I = Ie^{0.073t}$. Solving for $t$, we find that it takes approximately 15 years for the population to triple at an annual growth rate of 7.3%.

Write the Word or Phrase That Best Completes Each Statement N=Iekt, N\mathrm { N } = \mathrm { Ie } k t , \mathrm {~N}N=Iekt, N

Write the Word or Phrase That Best Completes Each Statement $\mathrm { N } = \mathrm { Ie } k t , \mathrm {~N}$