At the beginning of a month, a customer owes a credit card company $8480. In the middle of the month, the customer repays $A, where A < $8480, and at the end of the month the company adds interest at a rate of 6% of the outstanding debt. This process is repeated with the customer continuing to pay off the same amount, $A, each month. (b) If A = 1000, calculate the amount owing at the end of the eighth month. (c) Show that the value of A for which the whole amount owing is exactly paid off after the nth payment is given by (see attached image) d) Find the value of A if the debt is to be paid off exactly after two years.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 64SE: You inherit one hundred thousand dollars. You invest it all in three accounts for one year. The...
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At the beginning of a month, a customer owes a credit card company $8480. In the middle of the month, the customer repays $A, where A < $8480, and at the end of the month the company adds interest at a rate of 6% of the outstanding debt. This process is repeated with the customer continuing to pay off the same amount, $A, each month.


(b) If A = 1000, calculate the amount owing at the end of the eighth month.


(c) Show that the value of A for which the whole amount owing is exactly paid off after the nth payment is given by (see attached image)

d) Find the value of A if the debt is to be paid off exactly after two years.

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