I'm assuming that the salary is for the whole year. If it is not, do tell me.
Tax = 10/100 * 45000
= 4500
You owe $4500 in federal taxes.
I do not know exactly what you are trying to ask, but yes. Any time that the slope is greater than 0, the graph will increase in a positive direction.
Answer:
b) i) Curve A
ii) - 1.75
iii) x = 1 - √5 or x = 1 + √5
Step-by-step explanation:
b) i) We are given a function y = x² - 2x - 3 and the graph of this function is also shown in the side diagram.
The equation can be rearranged to y = (x - 1)² - 4
⇒ (x - 1)² = y + 4
Therefore, this is an equation of a parabola having the vertex at (1,-4) point and its axis is parallel to the positive y-axis.
So, the curve A represents the equation given. (Answer)
ii) Now, at x = 2.5, f(x) = 2.5² - 2 × 2.5 - 3 = - 1.75 (Answer)
iii) When y = 1, then x² -2x - 3 = 1
⇒ x² - 2x - 4 = 0
⇒ (x - 1)² - 5 = 0
⇒ (x - 1)² - (√5)² = 0
⇒ (x - 1 + √5)(x - 1 - √5) = 0
⇒ x = 1 - √5 or x = 1 + √5 (Answer)
Your answer would be 2 mm. The formula for volume is v=lwh
You have the volume: 4mm. And you have the height: 1. Substituting the known values you have 4=(1)(x)(x).
Now the question is, 1 times what 2 numbers gives you 4? Well 2 does.
4=(1)(2)(2)
The rest of the numbers don't work. 1 times 1 times 1 is 1. 1 times 3 times 3 is 9. And one times 4 times 4 is 16.
Answer:
$7.50
Step-by-step explanation:
56.25 divided by 7.5 = 7.5