6%=0.06
if you want to know how much he paid for the sales taxes you multiply 7.5 by 0.06
7.5 . 0.06= 0.45
7.5+0.45=7.95
8>7.95
Jay have enough money to buy the book
Answer:
33 ft
Step-by-step explanation:
hey, hope this helps and right.
Answer:
x = 32
Step-by-step explanation:
This is an equilateral triangle. This means the angles of the triangle are all equal. Since the sum of a triangle's angles is 180°, that means each angle will be 60°.
Let the original profits be $x. 5% increase in profits will give us:
105/100×x=$1.05x
3% reduction in new profits ill give us the latest amount to be:
97/100×1.05x
=$1.0185x
comparing our new profits to our original amount of $x we shall have new percentage increase to be:
(1.0185x-x)/x×100
=1.85%
Thus our final increase 1.85%
Answer:
The length of the segment AB is √48
Step-by-step explanation:
Given the two equations, the idea is to find the solution to the system
y = x² + 9
y = 2x² - 3
you can use the equality method to find the "x" and "y" of the solution.
x² + 9 = 2x² - 3 ⇒ x² - 2x² = -3 - 9 ⇒ -x² = -12 ⇒ x² = 12 ⇒ x = ±√12.
With this value we return to the original equations and replace it to find "y" values.
y = (±√12)² + 9 ⇒ y = 21
The solutions to the system are (-√12, 21) and (√12, 21). Now you need to find the distance between this points.
d= √[(x2-x1)² + (y2-y1)²] ⇒ d = √48.
The length of the segment AB is √48.
