MaybelleneR531249 MaybelleneR531249
  • 25-10-2022
  • Mathematics
contestada

The balance of an account after t years can be found using the expression 4,500(1.75)^t where the initial balance was $4,500. By what percent does the account increase annually?

Respuesta :

SohamY689804 SohamY689804
  • 25-10-2022

Solution

The Amount after t years is given by

[tex]A(t)=4500(1.75)^t[/tex]

The Percentage annual increase is

[tex]\begin{gathered} \frac{A(1)-A(0)}{A(0)}\times100\% \\ \Rightarrow\frac{4500(1.75)-4500}{4500}\times100\% \\ \Rightarrow0.75\times100\%=75\% \end{gathered}[/tex]

Hence, the account increase 75% annually

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