SmarterEd

Aussie Maths & Science Teachers: Save your time with SmarterEd

  • Login
  • Get Help
  • About

Compound Interest, SMB-005 MC

Roger invests $1400. He earns interest at 4% per annum, compounded monthly.

What is the future value of Roger's investment after 2.5 years?

  1. $1540.00
  2. $1546.98
  3. $3080.00
  4. $4540.76
Show Answers Only

`B`

Show Worked Solution

`text{Annual interest rate = 4% = 0.04}` 

`text(Monthly interest rate) = \frac(0.04)(12)`

`n = 2.5 xx 12 = 130`
  

`FV` `= PV(1 + r)^n`
  `= 1400 (1 + frac(0.04)(12))^30`
  `= $1546.98`

 
`=> \ B`

Filed Under: Compound Interest Tagged With: num-title-ct-coreb, smc-4334-10-Find FV

Copyright © 2014–2025 SmarterEd.com.au · Log in