Answer:
x = i π n + log(20)/2 for n element Z
Step-by-step explanation:
Solve for x:
500 = 25 e^(2 x)
500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:
25 e^(2 x) = 500
Divide both sides by 25:
e^(2 x) = 20
Take the natural logarithm of both sides:
2 x = 2 i π n + log(20) for n element Z
Divide both sides by 2:
Answer: x = i π n + log(20)/2 for n element Z
Answer:the car was traveling at a speed of 80 ft/s when the brakes were first applied.
Step-by-step explanation:
The car braked with a constant deceleration of 16ft/s^2. This is a negative acceleration. Therefore,
a = - 16ft/s^2
While decelerating, the car produced skid marks measuring 200 feet before coming to a stop.
This means that it travelled a distance,
s = 200 feet
We want to determine how fast the car was traveling (in ft/s) when the brakes were first applied. This is the car's initial velocity, u.
Since the car came to a stop, its final velocity, v = 0
Applying Newton's equation of motion,
v^2 = u^2 + 2as
0 = u^2 - 2 × 16 × 200
u^2 = 6400
u = √6400
u = 80 ft/s
Answer:
A
Step-by-step explanation:
Answer:
$1753.13
Step-by-step explanation:
Kane's Annual Salary = $42,500
Gross Pay = $42,500
Net Pay = Gross Pay - 1% of Gross Pay
=42500 - (0.01 X 42500)
=$42,075
Since he is paid twice a month with paychecks being of equal amounts.
Number of Payments in a Year =12 X 2= 24
Therefore, Kane's Take Home pay after Medicare taxes
![= \$42075 \div 24\\=\$1753.13$ (to the nearest cent)](https://tex.z-dn.net/?f=%3D%20%5C%2442075%20%5Cdiv%2024%5C%5C%3D%5C%241753.13%24%20%28to%20the%20nearest%20cent%29)