Suppose you owe ​$400 on your credit card and you decide to make no new purchases and to make the minimum monthly payment on the account. Assuming that the interest rate on your card is 2​% per month on the unpaid balance and that the minimum payment is 3​% of the total​ (balance plus​ interest), your balance after t months is given by ​B(t)=400​(0.9894t​). Find your balance at each of the given times. Complete parts​ (a) through​ (b) below. ​(a) six months After six​ months, the balance is ​$. ​(Round to the nearest cent as​ needed.) ​(b) five yearsAfter five ​years, the balance is ​$. ​(Round to the nearest cent as​ needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose you owe

​$400

on your credit card and you decide to make no new purchases and to make the minimum monthly payment on the account. Assuming that the interest rate on your card is

2​%

per month on the unpaid balance and that the minimum payment is

3​%

of the total​ (balance plus​ interest), your balance after t months is given by

​B(t)=400​(0.9894t​).

Find your balance at each of the given times. Complete parts​ (a) through​ (b) below.

​(a) six months

After six​ months, the balance is

​$.

​(Round to the nearest cent as​ needed.)

​(b)

five

yearsAfter

five

​years, the balance is

​$.

​(Round to the nearest cent as​ needed.)

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