Answer:
$1.61
Step-by-step explanation:
Tax paid = 7% of $23
= 0.07*23
= $1.61
Answer:
x=1+i√19,1-i√19
Step-by-step explanation:
Write the problem as a mathematical expression.
Subtract from both sides of the equation.
Use the quadratic formula to find the solutions.
Substitute the values, and into the quadratic formula and Simplify.
Simplify the numerator. Multiply by Simplify
Answer:
A: 12
Step-by-step explanation:
Using the pythagoreom theorem, a^2+b^2=c^2. We can plug in the lengths of 5 and 13 which is 5^2+b^2=13^2. Now we can square the numbers to get 25+b^2=169. Subtract 25 from 169 to get 144. Now find the square root of 144 which is 12.
Answer:
B. x ≥ 3 or x ≤ −2
Step-by-step explanation:
<u>Inequalities</u>
Solve the inequality:

Subtracting 6:

Factoring:
(x-3)(x+2) ≥ 0
We have a product that must be greater or equal to 0. This can only happen if:
x - 3 ≥ 0 and x + 2 ≥ 0
Or:
x - 3 ≤ 0 and x + 2 ≤ 0
The first couple of conditions yields to:
x ≥ 3 and x ≥ -2
Which lead to the solution
x ≥ 3 [1]
The second couple of conditions yields to:
x ≤ 3 and x ≤ -2
Which lead to the solution
x ≤ -2 [2]
The final solution is [1] or [2]:
Answer:
B. x ≥ 3 or x ≤ −2