The total charge to her account balance is $83.22
Step-by-step explanation:
We are told that she initially spends $36.50 at the clothing store plus 8% tax.
8% of $36.50 is:
8 / 100 * 36.50 = $2.92
Her total spending at the clothes store is therefore
$36.50 + $2.92 = $39.42
She then spend $25 to refuel her car.
She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.
20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.
80% of $23.50 is:
80 / 100 * 23.50 = $18.80
Therefore, her total cost (change in her account balance) is:
$39.42 + $25 + $18.80 = $83.22
The total charge to her account balance is $83.22.
Answer:
5
Step-by-step explanation:
Step 1:
x - 2 = 3x - 12
Step 2:
- 2 = 2x - 12
Step 3:
10 = 2x
Step 4:
5 = x
Hope This Helps :)
Answer:
Discriminant: -4
No real solutions
Step-by-step explanation:
You might remember this long, seemingly very hairy thing called the <em>quadratic formula</em> from earlier in algebra:
The <em>discriminant</em> of a quadratic equation of the form is that bit under the square root: . What does the discriminant tell us? Since we're taking its square root, we know that is only real for non-negative values of . If , we have two real roots, one for and one for . If , the function has a rational root, since the formula becomes
In your case, we have the equation ; here, , , and , so our discriminant is . Since we'd have a negative under our square root in the quadratic formula, we have <em>no real solutions</em>.