The number of rabbits in a colony is given by \(N=80{(1.04)^t}\), where \(t\) is in days. After how many days were there 300 rabbits in the colony?

In the adjacent graph of the quadratic function what are the co-ordinates of the \(x\)-intercepts?

The equation \(d=0.004s(s-1)\) is used to model the stopping distance of a train, where \(d\) is the stopping distance in metres and \(s\) is the train's speed in km/h. What is the stopping distance when the train is travelling at 50 km/h?

Given that \(y=\dfrac{x}{{x - 3}}\), what is the value of \(x\) when \(y=4\)?

A certain gas obeys Boyle's law \(V=\dfrac{{30}}{P}\),

where \(V\) is in litres and \(P\) is in atmospheres.

If the pressure is 5 atmospheres what is the volume?

It is known that \(T\) varies inversely as \(Q\). Given that \(T=10\) when \(Q=5\), find the value of \(T\) when \(Q=4\).

The number of people \((N)\) who attend a concert varies inversely as the amount of floor space (in \({m^2}\)) allowed per person \((A)\).

A venue can hold 120 people.

If each person is allowed \(4{m^2}\),how many people could the venue hold if each person was allowed \({5m^2}\)?