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The time it will take to have $3000 grow to $3250 at 4% simple interest is 2.083 years

Interest rate = 4%

Principal = $3000

Final amount = $3250

Recall :

  • A = P(1 + rt)
  • Where A = final amount ; P= principal ; r = rate ; t = time taken

Here, we are to calculate the time taken ; Inputting the parameters into the equation :

3250 = 3000(1 + 0.04t)

Divide both sides by 3000

3250/3000 = 1 + 0.04t

1.0833333 = 1 + 0.04t

Subtract 1 from both sides to isolate 0.04t

1.0833333 - 1 = 0.04t

0.083333 = 0.04t

Divide both sides by 0.04 to isolate t

2.08333 = t

Hence, it will take 2.083 years for the deposit to grow to $3250.

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