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Compound Interest, SMB-021

Callum invests $20 000 in a term deposit account that adds 3.8% interest annually, calculated on the account balance at the end of each year.

Calculate the interest paid in the third year of Callum's investment.   (3 marks)

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`$818.86`

Show Worked Solution

`r=3.8% = 0.038`

`text(Using)\ \ FV=PV(1+r)^n :`

`text(Value after 2 years)` `= 20\ 000(1.038)^2`
  `= $21\ 548.88`
 `text(Value after 3 years)` `= 20\ 000(1.038)^3`
  `= $22\ 367.74`

 

 `:.\ text(Interest paid in 3rd year)` `= 22\ 367.74-21\ 548.88`
  `= $818.86`

Filed Under: Compound Interest Tagged With: num-title-ct-coreb, smc-4334-45-Find interest earned

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