- The amount of money raised for a charity is being monitored.
The total amount raised in the \(t\) months after monitoring began, \(\pounds D\), is modelled by the equation
$$\log _ { 10 } D = 1.04 + 0.38 t$$
- Write this equation in the form
$$D = a b ^ { t }$$
where \(a\) and \(b\) are constants to be found. Give each value to 4 significant figures.
When \(t = T\), the total amount of money raised is \(\pounds 45000\)
According to the model, - find the value of \(T\), giving your answer to 3 significant figures.
The charity aims to raise a total of \(\pounds 350000\) within the first 12 months of monitoring.
According to the model, - determine whether or not the charity will achieve its aim.