Answer: £1200
Explanation:
The formula to find simple interest:
, where P is the initial amount , r is the rate of interest (in decimal) and t is time . (1)
Given : Dylan agreed a simple interest rate of 3% per annum for a Period of 2 years. At the end of the 2 year period the value of his investment increased by £72.
i.e. r= 3% = 0.03 ; t=2 ; I=£72
Substitute all the values in (1), we get
![72=P(0.03)(2)\\\\\Rightarrow\ P=(72)/(2*0.03)=1200](https://img.qammunity.org/2019/formulas/mathematics/middle-school/sbo3m40zbi2x1twtpo6kl8i3ciocja8y66.png)
Hence, the Dylan’s initial investment = £1200