Interactive practice questions
Under certain climatic conditions the proportion $P$P of the current blue-green algae population to the initial population satisfies the equation $P=e^{0.007t}$P=e0.007t, where $t$t is measured in days from when measurement began.
Solve for $t$t, the number of days it takes the initial number of algae to double to the nearest two decimal places.
Enter each line of work as an equation.
In a particular geographic location the population of a particular species of predator and the population of a particular species of prey is monitored each month.
The population of the species of predator is modelled by $A=6000e^{0.01t}$A=6000e0.01t, while the population of the species of prey is modelled by $B=12000e^{-0.02t}$B=12000e−0.02t, where $t$t is the number of months.
The voltage $V$V in volts across an electrical component decays according to the equation $V=Ae^{-\frac{1}{2}t}$V=Ae−12t where $A$A is the initial voltage and $t$t is the time in years.