Carissa has a loan of $$7739$ to repay, with an interest rate of $7\%$ compounded annually Carissa planned to make $$185$ payments at the end of each month to repay her loan, but is considering only $$117$ per month. How many additional months will it take to repay the loan if she pays $$117$ per month instead of $$185?$

$($Hint Round each term in months up to a whole number before finding the difference.$)$

Create a neatly drawn and clearly labelled time diagram. Upload an image or $.$pdf file containing your time diagram.

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The number of additional months to repay the loan is