The answer is >> D) -5/12
Answer:
7.5
Step-by-step explanation:
Given;
- Bert earns $35,000 gross annual salary
- Any amounts earned up to $20,000 are taxed at x%
- Any amounts earned beyond $20,000 are taxed at 20%
- Bert pays $4,500 per annum in income tax
To find x
Amount earned beyond $20,000
= $35,000 - $20,000
= $15,000
That is the amount to be taxed at 20%
Therefore,
x% × 20000 + 20% × 15000 = 4500
200x + 3000 = 4500
200x = 4500 - 3000
200x = 1500
x = 1500/200
x = 7.5
Given:
x² + 11x + 121 = x + 96
First, we need to convert it into a quadratic equation.
x² + 11x - x + 121 - 96 = 0
x² + 10x + 25 = 0
a = 1 ; b = 10 ; c = 25
Quadratic formula:
x = (-b <u>+</u> (√b² - 4ac)) ÷ 2a
The discriminant is under the radical sign
discriminant ⇒ b² - 4ac ⇒ 10² - 4(1)(25) ⇒ 100 - 100 = 0
Correct answer is A. 0
Answer:
After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.
Step-by-step explanation:
Caitlyn's saving: -5x+210
Santos' saving: 5x+90
To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.
-5x+210 = 5x+90
(Add 5x on both sides)
210=10x+90
(Subtract 90 from both sides)
120=10x
(Simplify)
x=12
After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.
Step-by-step explanation:
please mark me as brainlest
