Suppose you owe $18,000 on a credit card that carries an APR of 24%. Because the balance is so high, you choose to stop charging and pay off the card. You can afford to make only the minimum monthly payment, which is 5% of the balance. Then your balance after t months is given by B = 18,000(1.02 ✕ 0.95)t  dollars. How many payments will you have to make to get the balance below $100?

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Suppose you owe $18,000 on a credit card that carries an APR of 24%. Because the balance is so high, you choose to stop charging and pay off the card. You can afford to make only the minimum monthly payment, which is 5% of the balance. Then your balance after t months is given by

B = 18,000(1.02 ✕ 0.95)t

 dollars.

How many payments will you have to make to get the balance below $100? 

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