A sample of radioactive material with an initial mass of \(350\text{ g}\) decay from time to time such that its mass is halved every hour.
Determine its mass after \(10\) hours in the form of
\(k\left(\dfrac{a}{b} \right)^p\)
where \(k,a,b\) and \(p\) are integers.
Amoeba is a unicellular organism which has the ability to alter its shape.
It carries out binary fission to increase its number, that is, splits into two halves.
In a certain colony, at the initial stage, there are \(18\) amoebae.
Find the number of amoebae in the colony after the \(6^{th}\) fission in the form of \(2^m3^n\) where \(m\) and \(n\) are positive integers.
The value, in \(\text{RM}\), of a new car after \(n\) years is given by
\(50\,000\left(\dfrac{100-5}{100} \right)^n.\)
After how many years the value of the car is
\(\text{RM}42868.75\)?
Tips: Use the try and error method
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