Respuesta :

Answer:

t = 1

Step-by-step explanation:

Formula

i = prt

Givens

P = 500

i = 25

r = 5% = 5/100

t = ?

Solution

25 = 500 * 5/100 * t       Cancel out 100 on the right

25 = 5*5*t                        Combine the right

25 = 25 * t                       Divide by 25

25/25 = 25*t/25              

t = 1

Answer:   " 1 year . "

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Step-by-step explanation:

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Use the formula/equation:

        I = Prt ;   that is;  " I = P × r × t "  ;

in which:  

" Interest (in dollars) =

     Principal amount ("P" ; in dollars) * r ["rate"]   *  time ("t", in years) ]  ;

Note: the rate, "r" ; refers to the interest rate.

We wish to solve for the "time, "t" .

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 I = Prt ;

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Let us isolate "t" one one side of the equation;

    by rearranging the formula;

We know:  I = Prt   ;

Divide each side of the equation by "Pr" :

I/ (Pr) = [ (Prt) / (Pr) ]  ;

to get:

I / (Pr) = t ;

↔  t = I (P * r ) ;

Now, plug in our given values, and solve for "t" ; time, in years.

Given:  P = 500 (dollars) ;

            I  = 25 (dollars) ;  

           r = 5% ;  Note, for the purposes of this formula; we write this as a "decimal" ;

           r = 5% = 5/100 = 0.05 ;

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 t  =  I / (P * r)  ;

t = 25  / (500 * 0.05) ;

t =  25 / (25) ;

t = 1  yrs.

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Hope this helps!

 Best wishes in your academic pursuits

        — and within the "Brainly" community, as well!

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