Answer:
Option $152.19
Step-by-step explanation:
Data provided in the question:
Previous balance = $152.35
Finance charge = $1.78
New purchases of $45.23 and $15.67
Payment = $50.00
Credit = $12.84
Now,
New Balance
= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]
= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]
= $215.03 - $62.84
= $152.19
Hence,
Option $152.19
ax² + bx + c = 0
x = (-b ± √(b² - 4ac))/2a
First, rewrite the first equation so that the first coefficient is 1. Divide everything by a.
(ax² + bx + c = 0)/a =
x² + (b/a)x + (c/a) = 0
Isolate (c/a) by subtracting (c/a) from both sides
x² + (b/a)x + (c/a) (-(c/a) = 0 (- (c/a)
x² + (b/a)x = 0 - (c/a)
Add spaces
x² + (b/a)x = -c/a
Take 1/2 of the middle term's coefficient and square it. Remember that what you add to one side, you add to the other.
x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²
Simplify the left side of the equation.
x² + (b/a)x + (b/2a)² = (x + (b/2a))²
(x + b/2a))² = ((b²/4a²) - (4ac/4a²)) -> ((b² - 4ac)/(4a²))
Take the square root of both sides of the equation
√(x + b/2a))² = √((b²/4a²) - (4ac/4a²))
x + b/(2a) = (±√(b² - 4ac)/2a
Simplify. Isolate the x.
x = -(b/2a) ± (∛b² - 4ac)/2a = (-b ± √(b² - 4ac))/2a
~
5t/13 = -9
5t = -9 * 13
5t = -117
t = -117/5
The answer is $5.40. hope this helped <3