Tom Sullivan's charge account statement shows an unpaid balance of $1,329.08. The monthly finance charge is 2.5% of the unpaid balance. What is the new account balance?

$1362.307

Step-by-step explanation:

We are given that

Tom have unpaid balance=$1329.08

Finance charge=2.5% of unpaid balance

We have to find the new account balance.

Finance charge=

Finance charge=$33.227

Now,

The new account balance=Unpaid balance +finance charge

The new account balance=$1329.08+$33.227

The new account balance=$1362.307

you already gave the answer

step-by-step explanation:

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0