It will take them approximately 3 months to pay off the balance on the credit card
First Month
To solve this problem, we need to find the interest on 3287.90 at 14.5%
for the first month, we would have
[tex]\frac{x}{3287.90}=\frac{14.5}{100} \\x=476.74[/tex]
Now we divide this by 12 to give the interest payable on the first month
[tex]\frac{476.75}{12}=39.73[/tex]
So we have
[tex](3287.90+39.73)-1200=2127.63[/tex]
Second Month
We would do the same thing for the second month and it will give us
[tex](\frac{x}{2127.63}=\frac{14.5}{100})/12\\\frac{308.506}{12}=25.71[/tex]
For the second month, we have $25.71 as the interest payable
We can calculate how much would be left after the second month.
[tex](2127.63+25.71)-1200=953.34[/tex]
Third Month
In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.
From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.
The balance at the end of each month are;
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