Answer:
B
Step-by-step explanation:
The equation of proportionality is
y = kx ← k is the constant of proportionality
Here k = 2 , then
y = 2x
This means that the y- coordinate is twice the x- coordinate
The only point where this is true is the point
(2, 4 ) → B
Answer:
5%
Step-by-step explanation:
Solving our equation
r = 4537.5 / ( 9075 × 10 ) = 0.05
r = 0.05
converting r decimal to a percentage
R = 0.05 * 100 = 5%/year
The interest rate required to
accumulate simple interest of $ 4,537.50
from a principal of $ 9,075.00
over 10 years is 5% per year.
$15.00 * 20% = $15.00 * 0.2 = $3.<span>00
the answer is </span>$3.<span>00</span>
Answer: x = -54
Step-by-step explanation:
Simplifying
(2x) = (4x + 108)
Reorder the terms:
(2x) = (108 + 4x)
Remove parenthesis around (108 + 4x)
(2x) = 108 + 4x
Solving
(2x) = 108 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
(2x) + -4x = 108 + 4x + -4x
Combine like terms: (2x) + -4x = -2x
-2x = 108 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2x = 108 + 0
-2x = 108
Divide each side by '-2'.
x = -54
Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.
