A person acquires a new credit card and uses it to purchase goods costing $250$ per month. At the end of each month the following events happen in the order given:

$1.$ The $250$ spent that month is added to the total debt.

$2.$ The person pays back to the credit card company $5\%$ of the total debt.

$3.$ Interest is charged on the remaining debt at the rate of $2\mathrm{.}2\%$ per month and added to the debt.

You are asked to write a MATLAB script M$-$file to calculate how many months it takes for the debt to exceed $3000($the credit limit for the card$).$