Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on the due date until the card is paid off. How many months does it take to pay off the card, and what is the total amount paid including interest? Be sure to include in your response: the answer to the original question and the mathematical steps for solving the problem demonstrating mathematical reasoning. Please Help !!!

3 Months to pay it off

Step-by-step explanation:

month one: 3287.90 x 14.5%/12=39.73

3287.90+39.73=3327.63-1200=2127.63

month two: 2127.63x14.5%/12=25.71

2127.63+25.71=2153.34-1200=953.34

month three: 953.34x14.5%/12=11.52

953.24+11.52=964.86

payment in month three is $964.86 to pay the card off

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct