If x is the distance the base of the ladder is from the wall, and y is the distance to top of the ladder is up the wall, then the Pythagorean theorem tells you
... x² + y² = 10²
Differentiating with respect to time, we have
... 2x·dx/dt + 2y·dy/dt = 0
... dy/dt = (-x/y)·dx/dt
We are given x = 6 ft and dx/dt = 3 ft/s. Using the first equation, we can find y as
... y = √(10² -6²) = 8
Then
... dy/dt =(-6/8)·(3 ft/s)
... dy/dt = -2.25 ft/s
The top of the ladder is sliding down the wall at -2.25 ft/s.
<span>If you deposit(P) $6,800 in a money-market account that pays an annual interest rate(r) of 5.7%. The interest is compounded quarterly(4). [ The money you have after 3 years(t) is: Using the compound interest formula A=P(1+r/n)^nt, where P=$6800, r=57%=.057,t=+3, n=4. A=$6,800(1+(0.057/4))^(3x4) =$6,800(1+0.01425)^12 =$6,800(1.01425)^12 =$6,800(1.18505961016) =$8,058.41. ]</span>
A = first number (larger number)
b = second number (smaller number)
a = 8b
a - b = 70 *
* since a is the larger number and their difference is positive, we want a-b.
plug the first equation into the second to get :
a - b = 70
(8b) - b = 70
8b - b = 70
Your correct answer would be choice #2.
Answer:
I think it's B.
Step-by-step explanation:
Because the equation is 1 - 0.144/24 should represent the amount of emails to be answered after one day.
Step-by-step explanation:
it wouldn't change the length of the line. you didn't put the picture so I can give you the formula for reflection over the x, but not the actual solution. (x,y)=(x,-y) is the formula, it basically means the x will stay the same and the y will become negative if it's currently positive or it will become positive if it is currently negative. hope this helps