Dylan invested some money in the bank. He 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. Work out the value of Dylan’s initial investment

Respuesta :

Answer:

initial investment=£1200

Step-by-step explanation:

Interest = Principal * interest rate * time(yearly)

£72=principal * 3% *2

principal = £1200


Answer: £1200

Step-by-step explanation:

The formula to find simple interest:  [tex]I=Prt[/tex], 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

[tex]72=P(0.03)(2)\\\\\Rightarrow\ P=\dfrac{72}{2\times0.03}=1200[/tex]

Hence, the Dylan’s initial investment = £1200

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