Respuesta :

Answer: 1266


Step-by-step explanation:

   If $1200 is invested for 1 year with the interest rate of 5.5%, final amount will be $1267.37

 Expression for the final amount when compounded quarterly is given by,

Final amount = [tex]P(1+\frac{r}{4})^{4t}[/tex]

Here, P = Principal amount

r = Rate of interest

t = duration of investment

Values given in the question,

  • P = $1200
  • r = 5.5% ≈ 0.055
  • t = 1 year

Substitute these values in the expression,

Final amount = [tex]1200(1+\frac{0.055}{4})^{4\times 1}[/tex]

                      = [tex]1200(1+\frac{0.055}{4})^4[/tex]

                      = [tex]1267.37[/tex]

    Therefore, final amount when $1200 is invested for 1 year will be $1267.37

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