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Compound Interest, SMB-007

Shannon invests $25 000 in an account that earns interest at 6% per annum, compounded monthly.

What is the future value of Shannon's investment, to the nearest dollar, after 2 years?   (2 marks)

--- 4 WORK AREA LINES (style=lined) ---

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`$28\ 179`

Show Worked Solution

`text{Annual interest rate = 6.0% = 0.06}` 

`text(Monthly interest rate) = \frac(0.06)(12) = 0.005`

`n = 2 xx 12 = 24`
  

`FV` `= PV(1 + r)^n`
  `= 25\ 000 (1 + 0.005)^24`
  `= 28\ 178.99`
  `=$28\ 179\ \ \text{(nearest dollar)}`

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

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