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Barry opens a savings account after seeing the ad. He deposits $1,300.

Determine an equation that relates the amount of time t in years that Barry holds his account to the amount of interest I that he earns.

Enter the correct answer in the box.


Sagot :

The question is an illustration of simple interest.

The equation that relates Barry's savings after t years is; [tex]f(t)=1300 + 28.6t[/tex]

The given parameters are:

[tex]P = 1300[/tex] --- the amount deposited

[tex]r = 2.2\%[/tex] --- annual interest

So, the interest is calculated using:

[tex]I = PRT[/tex]

This gives

[tex]I = 1300 \times 2.2\% \times t[/tex]

[tex]I = 28.6 \times t[/tex]

[tex]I = 28.6t[/tex]

So, the equation that relates Barry's savings after t years is;

[tex]f(t)=P + I[/tex] --- i.e. the amount deposited plus the interest

This gives

[tex]f(t)=1300 + 28.6t[/tex]

Hence, the required equation is: [tex]f(t)=1300 + 28.6t[/tex]

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